{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 1, u: 4, l: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 14146330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/7)*p**(-1\/3))\/(p\/(p\/p**(-1\/2))*p**4*p))\/((p**(-2\/5))**15)**27 assuming p is positive.\nAnswer: p**(6589\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 7) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 281 in -0.2, -3\/7, -1, 1\/637?\nAnswer: 1\/637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -55320 - 8382 = -472*q + 2438*q + 7074 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, m: 1, q: 1, f: 1, n: 4}. Give prob of sequence fm.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*2*sqrt(308)*-6)\/((-3*(sqrt(99) - 2*sqrt(99)))\/sqrt(9)))**2 + -5)*-6.\nAnswer: -10722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 5*z = -2 - 3, 5*x = 3*z - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*h - n + 3365 = -8*h, 3*n = h - 657. Suppose -35*c + h = -27*c. Calculate the remainder when c is divided by 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + 3*j - 122, -m - j + 22 + 9 = 0. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 19*o**2 - 4*o + 9. Let t(q) = 18*q**2 - 5*q + 9. Let w(g) = 5*c(g) - 4*t(g). Is w(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17173 + 17175. What is the closest to 4\/7 in i, 0, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 25.4 + -21. Let n = 3.4 - g. Put 2, n, 0.5 in increasing order.\nAnswer: n, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 3*p**3 + 59*p**2 + 27*p + 25. Determine b(-19).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 5*y**2 + y + 1. Let x be p(-1). Let d(f) = x + 0 + f - 4. Let g = 67 + -68. Let u(r) = -r - 1. Calculate g*u(l) - 2*d(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 10:27 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 57, 57, 69, 99, 153?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5 + (sqrt(720) - sqrt(720)*-2) + -5).\nAnswer: -30 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1971 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-42)\/15)\/((-2)\/5). Solve -n + h*t - 17 = 3*t, n + 13 = 3*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 12667?\nAnswer: 114003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 505 a factor of 3868899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the first derivative of -q**4\/28 + 19*q**3\/21 - 24*q**2\/7 - 855. Factor u(a).\nAnswer: -a*(a - 16)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16294109 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*q**4 + 4*q**4 - 10*q**2 + 52*q + 11*q**2 - 140*q to m*q + y*q**2 + n*q**3 + c + i*q**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 69\/20108 and -13\/4360.\nAnswer: 21917720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17341, -34681, -52021, -69361, -86701, -104041?\nAnswer: -121381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 7365467.185672 and 17.9.\nAnswer: 7365485.085672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + -0.5. Let r = 2 + -3.8. Let z = 1.6 + r. Sort k, -2, z.\nAnswer: -2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -1142638571.0251 and 11.\nAnswer: -1142638560.0251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**12*z**(-8)\/z*z*z\/z**0*z*z**(1\/11) assuming z is positive.\nAnswer: z**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/9484 and -16\/23.\nAnswer: 218132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5001 + -30137\/6. Let a = -1849911\/67 + 27610. What is the common denominator of a and g?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b = 176.8096 + -177. Let g = 0.18 + b. Round g to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 117075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 60 - 78. Let g be (2 - 1) + 1*v\/(-3). Solve x = 3*i + 4, 0 = -i + 2*x - g*x - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a**3\/2 - 7909*a**2 + 31284048*a - 62536464 = 0. What is a?\nAnswer: 2, 7908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 7 = -3*a + 8*a, -h = -3*a + 11. Let u(j) = -j**2 + 2*j + 3. Let g be u(a). Let c(v) = v + 5. Calculate the remainder when 13 is divided by c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 163739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -6023.25 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2\/3, 0.1, 1.9, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 251 - 111. Let y = -139.5 + h. Which is the third biggest value? (a) -2 (b) y (c) -32 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 477 is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 25528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.66 - -0.04. Let w = u + -4. Put w, -5, -3 in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1636674019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -700 times 7.07\nAnswer: -4949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 9. Let o = -8 + 12. Is o\/(-2) - x - -26 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + 17*m**2 - 10*m - 5. Is u(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -188*c**2 - 4*c + 68. Let g(a) = -92*a**2 - 2*a + 34. Let f(o) = -5*g(o) + 2*h(o). What is the second derivative of f(i) wrt i?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - 79?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 3*g**3 - g**2 + 5*g - 1. Let w(f) = f**3 + f**2 + f. Let q(u) = -b(u) + 2*w(u). Factor q(i).\nAnswer: -(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 476 - 465. Calculate the greatest common divisor of 3234 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 659962 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 130 - 4*o**2 + 2*o**2 - 130.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 4*k**2 - 4248692*k + 4248688 = 0.\nAnswer: 1, 1062172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (224\/12)\/4*6\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99*p + 49 = -97*p + r, 70 = 3*p + 5*r. Sort 4, 3, -3, 1, p in decreasing order.\nAnswer: p, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-22285)\/(-3) - (-8)\/(-24).\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2. Let k(x) = x**2 + 3. Let u be k(9). Let m(n) = -43445 + 43445 - u*n. Calculate m(q(f)).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -6*p - 5. Sort 0, p, 4.\nAnswer: p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7901488 + -260884268\/33. Let t = 4094 + k. Find the common denominator of 32\/15 and t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 4 + 5)*(36 - 36 - 4*b) - b + 0*b - b in the form x + u*b and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -2*k. Let i(c) = -26*c**2 + 20. What is o(i(x))?\nAnswer: 52*x**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1361428?\nAnswer: 2, 17, 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 + 9\/(9\/3). Suppose -3*s = f*s. Suppose s = -5*o - b + 93, -3*o = -4*o - 2*b + 24. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22555268.\nAnswer: 2, 5638817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 404 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -270331399 divided by -17.\nAnswer: 15901847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (15*-4)\/5 + -2. Suppose -g - 2*g = 2*o + 23, -4*o - 19 = -3*g. Let j = o - d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52, -227, -524, -949, -1508, -2207, -3052, -4049?\nAnswer: -5204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 22*w - 28. Let j(q) = 7*q - 9. Let u(s) = 10*j(s) - 3*v(s). What is the smallest common multiple of u(6) and (-8)\/(-6)*6\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 796234429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:47 PM and 3:52 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -0*k - 4*p - 83, -3*k + 5*p + 55 = 0. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -734*k. Let c(w) = -40*w**2 - 18*w. Give u(c(v)).\nAnswer: 29360*v**2 + 13212*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 - 41224067406568.\nAnswer: -41224067406542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 365*x**6 - 37*x**2 - 3 wrt x.\nAnswer: 43800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.0441 - 0.2771. Let k = 44.833 + x. Let w = k + -45. Which is the biggest value? (a) 0.5 (b) 19 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 - 33*q - 104. Let p(d) = 2*d**2 + 63*d + 209. Let w(a) = 6*p(a) + 13*u(a). Let i be w(-49). Sort 1, -5, i.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 + 7*s**2 - 8*s - 5. Is l(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 33.7 (b) -5 (c) 7 (d) 4\/17 (e) -0.1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k. Let o be c(2). Suppose -23 = -5*u - 4*j, 5*j - o*j = -3*u + 15. Let r be ((-1)\/(-7))\/(3\/(-6)). Sort u, r, 0.4 in descending order.\nAnswer: u, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 3784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(931) + sqrt(931)*2 + sqrt(931) - sqrt(931) - sqrt(931))*2 + (sqrt(1216) + -3 - (sqrt(152)*3)\/sqrt(8)))**2.\nAnswer: -264*sqrt(19) + 20707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-2)\/(-4))\/((-1)\/(-32)). Suppose -u - 49 = -5*x. Let k = x + -8. Solve l = 1 - k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -28.779, -0.28, 0.2?\nAnswer: -28.779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by -2559.\nAnswer: -2\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -6*h + 7. Suppose -5*z + 63 + 38 = -4*t, -5*t = -2*z + 54. What is the remainder when v(-7) is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -10*k + 0*k**2 + k**3 - 3*k - 12*k**2 + 13 - k. Let g be w(13). Let h = 1 - 7\/2. Which is the third biggest value? (a) g (b) 2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 AM and 7:48 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 41 - 39. What is the third derivative of 747*z**3 - 727*z**3 + 2*z - l*z + 17*z**2 wrt z?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -22*n**2 - 20*n - 7. Let t(v) = 10*v**2 + 9*v + 3. Suppose 6*a + 227 = 263. Let l(d) = a*b(d) + 13*t(d). What is l(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*z + z - 2*z + (2 - 2 + 2)*(-7 + 2*z + 7).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2.0318 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2552024031 to the nearest integer?\nAnswer: 50518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ttjssjjhjjjthttsj?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*m**4 - 2*m**3*y**2 + 134522*m**3*y - 49*m**2*y**2 - 2*m**2 + 3*m*y**2 + 2*m*y - 853*y**2 wrt m.\nAnswer: 72*m - 12*y**2 + 807132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 11*q**2 - 10*q**2 - 2 - 7*q + 0*q. Is f(8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 4, l: 9, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 279*l + 60 = 269*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 3*t**2 + 3*t**3 + 3\/4*t**4 + 0 = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 2\/10889?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1228567027?\nAnswer: 443, 2773289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.169552 and 385488.\nAnswer: 385487.830448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j - 0*j + 15. Let t(n) = 7*n**2 + 6. Is t(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -25 + 18. Suppose -2*f + 14 = -f + p, 70 = 5*f + p. Is (-63 - 1)*c\/f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/1779 and -115\/36.\nAnswer: 21348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6503858*p**4 - 5620658*p**2 wrt p.\nAnswer: -156092592*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-39 - -39) + 1 + -9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 46489448\/11 at least 4226313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {p: 7, q: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 24\/(-18))\/(8\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 234.6 times 0.5?\nAnswer: 117.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 142091 and 604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 531*g - 9. Let m(h) = -2*h + 274 - 274. What is u(m(x))?\nAnswer: -1062*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**2 - y - 2. Let w be r(3). Suppose 2*s + w*a = -6, -3*s + 7*s + 2 = -3*a. Let x(m) = 0*m**2 + s + m**3 + 4 + 0*m**2. What is x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 682.3054um to centimeters.\nAnswer: 0.06823054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -3. Let c(y) = y**2 - 7. Let d be c(3). What is the third derivative of -2*o**2 - d*o**3 + o**3 + l*o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cudcddcdudwzbdc. What is prob of sequence ucz?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(i\/((i\/(i*i**8))\/i*i)))**(-8\/3))**(-25))**9 assuming i is positive.\nAnswer: i**(-4800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.34 + -0.14. What is the closest to j in -2, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -156 less than 0.125?\nAnswer: 156.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 9.764678 rounded to 3 decimal places?\nAnswer: 9.765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 0, -5, -0.052?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*m - 1643 = -0*m - 31*m + 5080 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.04512 - 0.63092. Let v = b - 0.0142. Let y = 2939\/11 - 267. What is the third smallest value in y, v, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3378609 (base 10) in base 9?\nAnswer: -6318520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2688 and 1313662?\nAnswer: 252223104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 263066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0\/((-1 - 0) + -1). Let y be (-1)\/(-15*2\/20*(-6)\/(-45)). Solve y*l = -w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**5*h)**(-21) assuming h is positive.\nAnswer: h**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 19*i**2 + i + 3. Let v(g) = -96*g**2 + 9*g - 39. Let z(b) = -10*n(b) - 2*v(b). Factor z(x).\nAnswer: 2*(x - 12)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 3*n + 5 = -9, 4*x + 3*n = 16. Let u be ((-10)\/8)\/5 + (-19)\/(-38). What is the second smallest value in x, 22, u, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42033591.\nAnswer: 3, 37, 126227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = f + 2. Let p be (-1 - f - -15) + -1. Suppose -5*c - 5*h + 2*h + 35 = 0, -2*c = -2*h - p. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -538 (b) -3\/4 (c) -0.16 (d) 5 (e) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 2 = -2*n, 5*w - 36 = -5*n + 2*n. Suppose 5 = -4*i - n. Put 0, i, 1 in decreasing order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 42793260 and 76320.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 - o**2 + o. Let j(w) = -3*w**3 - 2*w**2 + 2*w - 14. Let u(v) = j(v) - 2*p(v). What is the first derivative of u(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1056307 - -275307. Round h to the nearest ten thousand.\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*b - 3. Let p(h) = -h**2 + 6. Let d be p(0). Let n = 3 + d. Calculate the greatest common factor of b and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 10 = 3*v, -747 = -3*b + 3*v. Suppose -a + w - 2 = 0, w = -3*a + 6*w - 6. Let g be b\/(-348) - a\/3. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 572 divided by 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 4*g + 3*h - 4*h, g - 11 = 4*h. Calculate the remainder when 22 is divided by -5*4\/(-4) + g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 67.484207387 and 0.3.\nAnswer: 67.784207387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the second derivative of 0*w**2 + 0 + 1\/10*w**5 + 1\/27*w**3 - 1\/9*w**4 + 6*w. Factor c(j).\nAnswer: 2*j*(3*j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rviirilii. What is prob of sequence vrrl?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.01641 + 7368400.7.\nAnswer: 7368400.68359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -424 - -522. Calculate the highest common divisor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -7*s - 4. Let b(p) = p + 1. Let l be b(-2). Let j = l - 6. Does 17 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 7) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7.64 + 8. Let c = v - 0.4. Is c at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 5 + 0 + (68 - 0) + (698 - 717)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(2\/15))\/((n\/((n**7*n)\/n))\/n))**15 assuming n is positive.\nAnswer: n**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*g = -51*g + 42. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.09*29\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 9*g + 0 + (5 - 2 - 2)*(-2*g - 1 + 1) - g + 3*g - 3*g + (-3 + 3 + 1)*(3*g - g - 4*g) to n*g + c and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -5*q + 146 + 99, g = q - 49. Let k(d) = -4*d**2 + 5*d - 6. Let w be k(3). Let z = w + q. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*s + 20*s = 30*s - 31000. What is the least common multiple of s and 4?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1233 + -1232.96. Let h = -0.7 - -0.2. Which is the smallest value? (a) -1\/5 (b) h (c) 0.3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/2*72\/54. Let v(d) be the third derivative of 0 + 1\/20*d**5 + 0*d + 0*d**3 + 0*d**t + 2*d**2. Let n(c) = c. Determine v(n(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 - 8*i**2 + 3*i + 15. Calculate y(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 830047469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42 - 22. Let t be 3\/2*r\/(-48). Suppose 0 = 3*f - 5*f + t. Solve 3*n + f = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11180784*k**4 - 2*k**3 + 417813*k - 73.\nAnswer: 134169408*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 41014 - 2?\nAnswer: 41012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3880 and 3840715.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 1 = 4. Let z(s) be the first derivative of s**4\/4 + 5*s**3\/3 + 3*s**2\/2 - 3*s - 385. Calculate z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/1902 and 7\/15.\nAnswer: 9510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.1 and -253.\nAnswer: 531.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.21, -783597, -2?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b - 3. What is z(18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, 2, -0.8, 8\/10997, -4, 13\/2?\nAnswer: 8\/10997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(-2\/5))**(-17)\/(s**(3\/2)*s\/(s\/(s\/(s*s**(-6)\/s*s))*s)*s)*(s*s**(-7)*s*s**(-5)*s)\/((s*s**(-6))\/(s*(s*s**(2\/19))\/s*s)) assuming s is positive.\nAnswer: s**(-6307\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2651710 is divided by 366.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 80020551 to the power of 1\/2, to the nearest integer?\nAnswer: 8945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 290\/(-6061)*(-4840)\/(-550).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -2)\/(3 - (-15)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 n, and 1 e when three letters picked without replacement from {n: 2, x: 1, t: 3, f: 4, o: 4, e: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 320231?\nAnswer: 179, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do -195 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (34\/8)\/((-3)\/(-60)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 30995 = -n - a, -3*n + 46475 = 5*a. Suppose 2*f + 6200 = -3*p, -5*f - 4*p = -10*f - n. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 659152831\/58600 - 281199\/25. Let x = -2\/293 + s. Let h = 9 + -5. Sort h, x, 2 in descending order.\nAnswer: h, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1866.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*k + 1. Solve -2 - 2 = k*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10787919 to the nearest integer?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -2*w**3 - 262*w**2 + 43*w - 807. What are the prime factors of n(-132)?\nAnswer: 3, 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*d**5 - 95*d**4 - 1445*d**3 + 6755*d**2 + 79200*d + 121500 = 0. Calculate d.\nAnswer: -10, -5, -2, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4.4169 in 1\/5, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 3*c - 8137 - 4626, -2*o + 2*c = -6380. Let y = o + -504. Suppose 10*a - 6201 = y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-1)\/10)\/(24\/(-60)). What is q in d*q**3 - 9\/4*q**2 + 27\/4*q - 27\/4 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 + -13. Suppose p - 3 = 3*p - c, 0 = -p - 2*c - 14. Let d = 12\/19 + -98\/95. What is the nearest to n in p, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22470089 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 - 12891928.\nAnswer: -12891928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25638282 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -33 - -38. Let l = -3 + 8. Suppose -4*r = -2*r - 26. Solve 0 = -3*h + s - 3*s - r, -l*s = -x*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 164106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 154414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1072429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 26503325 (base 8) to base 16.\nAnswer: 5a86d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 140119, 140106, 140095, 140086, 140079, 140074?\n\"Answer: o**2 - 16*o + 140134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 - 19*q**2 - 82*q - 87. What is j(23)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 19*j**2 + 2. Let m(l) be the second derivative of 1\/6*l**4 + 0*l**3 + 296*l + 0 + 0*l**2. What is u(m(f))?\nAnswer: 76*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -449, -447, -445, -443, -441, -439?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tpmmoycpycypcmo. What is prob of picking 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**2 - 113012*t + 1694280.\nAnswer: 4*(t - 28238)*(t - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4\/(-14))\/((-1)\/7). Find the third derivative of 5*j**5 - 7*j**5 + j**h + 4*j**5 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from taltlaataatt. Give prob of sequence tttl.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 519808080 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 30*d**2 - 2*d - 1. Let n be ((-4)\/6)\/((-4)\/(-6)). What are the prime factors of y(n)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - -2007526418.\nAnswer: 2007526438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.037 - -0.40589.\nAnswer: 0.44289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*k - 19 = -9*k - 5*h, h - 11 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (z**2 + 0*z**2 - 3*z**2)*(-3*z - z + 3*z + 1) + (-z + 1 - 1)*(-136 - 5*z**2 + 136) + z**3 + 2*z**3 - z**3.\nAnswer: 9*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 0 and (-328)\/(-48) + (0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.07? (a) 2\/399 (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 2:32 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 102010 - -2043?\nAnswer: 104103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) + -3*(sqrt(77) + (sqrt(77) - (sqrt(77) - 3*sqrt(77)))))\/(sqrt(1331) + (3*sqrt(1331) - sqrt(1331) - sqrt(1331))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d**4 + 2740*d**3 - 794475*d**2 + 54857250*d = 0. What is d?\nAnswer: -3010, 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -35*o**4 + 355*o**3 - 855*o**2 + 605*o - 70 = 0.\nAnswer: 1\/7, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.678 - 0.578. Which is the second biggest value? (a) -0.05 (b) v (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -3) + 24 - (-8 - -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = 9*p + 4770000. What is p rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 58 - 28. Let s = f + -31. Let u(h) = -6*h**3 + 2*h + 1. Let d be u(-1). Let p(w) = 2*w**3 - 5*w + 5. Let j(n) = n**3 - n + 1. What is d*j(z) + s*p(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 35*w + 1394. What is p(-40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1088297 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from {i: 2, y: 2, t: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (1 + -1)\/(-7 + -2 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d*d*d**(-6))*d)\/d*d*d\/(d**(-3\/2)*d)*d**1\/(d**(2\/9)\/d) assuming d is positive.\nAnswer: d**(167\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.72 - -0.62. Let s = -61 + 63.975. Let u = s - -0.025. What is the closest to a in 0.07, 1, u?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -22*z - 16. Does 7 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -420050 * -3316.\nAnswer: 1392885800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4561227 is divided by 433.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*c + 31104 = -12*c + 33120. Calculate the remainder when 4283 is divided by c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 36714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + h + 11 = 0, f - 5*f - 3*h + 27 = 0. Suppose 5*g + 8 = 83. Calculate the remainder when g is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 25*t. Let j(h) = -101*h - h**2 - 100*h - 6*h**2 + 201*h. What is j(n(v))?\nAnswer: -4375*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**3 - 9*s + 3. Let b be u(3). Suppose -3*r - 2*r + 2*x = 26, 4*r + 3*x + b = 0. Put 0, r, 2, -3 in ascending order.\nAnswer: r, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*j = 3*d + 21*j - 560, d - 5*j - 210 = 0. Solve -2 = -184*b + d*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 266909109 is divided by 7074?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**3 + 14*h**2 + h. Let v be j(14). Let w(i) = i**2 - 10*i - 54. Let g be w(v). Suppose -l + 4*l = g*l. Is l < -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -816455 - 1168?\nAnswer: -817623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -313 in -2, 5, 13\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - -101101101111011110?\nAnswer: 101101101111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.098 - 0.141. Let v = s - 9.957. Let m = v + 10.088. Round m to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 83473783, 83473780, 83473779, 83473780, 83473783, 83473788?\nAnswer: 83473795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -2*w. Let s(o) = o + 3*o - 1 + 6*o + 0. What is d(s(y))?\nAnswer: -20*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of h**4*s + 9954*h**3*s - h**2*s**2 - 31*h*s**2 + h*s - 86*h + 105*s wrt h.\nAnswer: 12*h**2*s + 59724*h*s - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 55157591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vsyyryyvoyyv. Give prob of sequence ov.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x**2 + 3*x**2 - 132567*x**3 + 132596*x**3.\nAnswer: 29*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 + 2*s**2 + 1. Let c be n(-2). Let b(t) = 1 + 4*t - 3*t + 9*t**2 - 2*t. Give b(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.427061988 and 0.3?\nAnswer: 0.4281185964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*b + 0*b - b)*(-3 + 3 + 1)*(33*b - 27*b + 51*b) to v + d*b + o*b**2 and give o.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 162*k**2 + 2*k - 4. Let t be i(4). Does 22 divide -3 + (-1)\/5 + t\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -261468 divided by -87156?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 162\/(-126)*(-70)\/(-15) + (-472)\/(-79).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 201*y**4 - 151*y**4 - 855*y**4 + (0*y**2 - 2*y**2 + 0*y**2)*(-y**2 - 2*y**2 + 2*y**2).\nAnswer: -803*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4838, 4839, 4840, 4841, 4842, 4843?\nAnswer: 4844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/7? (a) -4 (b) 0.14 (c) -0.3 (d) 2 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 g, and 1 v when three letters picked without replacement from dsvbg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y - 2*y + 6*y)*(0*y - 2*y + 0*y) - 2*y**2 + y**2 + 0*y**2 + ((-2*y - y + 4*y)*(6*y - 2*y - 2*y) + 6*y**2 - 4*y**2 - 5*y**2)*(-1 + 3 - 1).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 471, 473, 477, 483, 491, 501?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.003 + -423.997. Let q = 431 + l. Let f = 3259\/30 + -325\/3. What is the biggest value in f, 4, 1\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 925 = -5*c. Suppose -4*u = u - c. Suppose 36 = -0*q + q. Which is greater: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -727*w - 48060. What is z(-66)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2460\/(-287)*(-70)\/260.\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**2 - 15*j + 4. Let s be d(8). Let g be 1\/(6\/3)*s\/2. Let y = g - -17. What is the smallest common multiple of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 246681, 493365, 740049, 986733, 1233417, 1480101?\nAnswer: 1726785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -588, -574, -558, -546, -544, -558, -594?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -519456 by 436.\nAnswer: -129864\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 128 = -6*s + 2*s, -20 = -5*h. Let u = s - -58. What is the first derivative of -28 - 24 - u*d**3 - 32 + 71 wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 387*b**4 - 319.\nAnswer: 1548*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1777 + -1777. Let q(s) be the first derivative of -2\/3*s + 1 - 1\/12*s**4 + w*s**3 + 1\/2*s**2. Find h such that q(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -235 - -273. Let y be 57*((-12)\/4 + 4). Suppose -4*w + y = v, w + 3*w - 62 = -2*v. Calculate the remainder when l is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (18\/(-4) - 2)*-2. Let k = -8 + i. Suppose -5*g - k*w + 80 = 0, -5*w + 10*w = -3*g + 52. Calculate the greatest common divisor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the first derivative of 16*m**2 - 8\/3*m**3 + 72 + 0*m - m**4. Let k(n) = 0. Calculate n.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 22*m**3 - 2*m**2 + 1. Let t be i(1). What is the least common multiple of (t\/(-6))\/((-3)\/12) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 16 (b) 0.03 (c) -5498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**2 + 10*u + 2. Let v be d(10). Let p be (v\/3)\/(13\/78). What is the greatest common divisor of 32 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 - 41*m + 406. Let t be g(-47). Calculate the greatest common factor of 992 and t.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/2015806 and -79\/147498.\nAnswer: 6047418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 85.52684 weeks to nanoseconds.\nAnswer: 51726632832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from klrkphyly. What is prob of sequence hl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.2 - 0.3. Let b = -0.721 + -0.317. Let j = -0.038 - b. What is the closest to 2 in s, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -48, 3 in ascending order.\nAnswer: -48, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -96019 (base 11) to base 8\nAnswer: -420777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3\/(-3) + 0)*0. Solve -4*o = 20, 5*o = 2*p - r*o - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 6*r + 14 = 11*r, 0 = 3*b + 3*r - 18. Suppose b*a = -o + 231, -4*a = 2*o - 5*a - 467. What are the prime factors of o?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 71*d - 48*d**2 + 71*d)*(0*d + d - 2*d)*(0 + 9 + 3) to l*d**3 + s*d + n + j*d**2 and give l.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(72))**2 + 1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + (-15 - (-1 + 0)). Let a = q + 24. What is the remainder when 18 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 2*q = -31, -3*b - q = -6*q. Let z(k) = b*k + k - 4*k. Let h(y) be the second derivative of y**4\/6 + 4*y. Calculate z(h(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h - 5*h + 0*h)*(41 - 7 - 11)*(5 + 3 - 3)*((-3 + 1 + 1)*(-2 + 3 + 0) + (4 - 6 + 0)*(1 - 3 + 0)).\nAnswer: -690*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1867 - 1262. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 30\/7 (b) -56.7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 8718 * 420.\nAnswer: 3661560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.015663t in kilograms?\nAnswer: 15.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -479 or -3357\/7?\nAnswer: -3357\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -690*r + 87. Does 42 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6063, 24794, 56013, 99720, 155915?\nAnswer: 224598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/2*((-30)\/(-2))\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - x - 17 = 0, -2*x + 13239 - 13246 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 78*p = -2*p - 97*p + 3363 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9.226 + -0.226. Let p = 0.06 + 0.24. Which is the biggest value? (a) 2\/9 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -4*y + 11, 3*o = -4*y - 14 + 43. Let r(a) = 6*a - 3 + a**2 + o. Let v(m) = -m**2 - 3*m. Let d(n) = -4*r(n) - 7*v(n). Find h, given that d(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-35)\/(-280) - (-6)\/16)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 4 = 5*l + 17, 71 = 5*q + 4*l. Let u = -9 + -1. Let r = u + q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 1)*(-4*v + 5*v - 4*v)*(-2 + 1 - 1).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13? (a) 2\/23 (b) -16 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, 5, -1024073, 0.1 in descending order.\nAnswer: 5, 4, 0.1, -4, -1024073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 + 32*x**2 + 5*x + 91. Calculate m(-32).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -101603261 (base 7) to base 11.\nAnswer: -3418240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -0.036?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**2 + 127*o - 1031. Let h be d(8). Solve -h*z - 96 = -65*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/76)\/(((-49)\/(-364))\/(-7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -904, -903, -900, -895, -888, -879, -868?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2786, -3141, -3718, -4517, -5538, -6781?\nAnswer: -8246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of 8 + l**2 + 2*l**6 - l**6 + 5*l**2 - 22. Find the second derivative of z(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15*y**2*z**2 - 273*y**2 + 2*y*z**2 wrt z.\nAnswer: -30*y**2*z + 4*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 4*z - 12. Solve 0*o + z*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1260584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of -z**4\/4 + 2*z - 4. What is the derivative of o(h) wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-270)\/38 + 2)\/(540 - 541) - 5.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.11 - -2.31. Let p = 5 + -2. Which is the closest to 0.8? (a) p (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 5008647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 578 - 1556 = 3*j, 1635 = -5*j - 5*i. Let f = j - -468. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = 4*i - 0*j - 208, 4*i - 2*j = 232. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -12\/29195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2723110626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 44818999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7? (a) -1 (b) 3\/7 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -16*o**2 - 84*o + 2162. Let l(v) = -5*v**2 - 26*v + 720. Let t(u) = -20*l(u) + 6*s(u). Factor t(y).\nAnswer: 4*(y - 17)*(y + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.3 + -0.3. Let v = 3 - h. Let z = -7 + 12. Which is the nearest to 0.1? (a) v (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -117136.28 rounded to the nearest one thousand?\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, -2\/3, 1\/117, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0, 3, -0.03, -3, 6241?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {y: 2, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 5*b - 48 + 13, 5*b - 5 = -h. What is the lowest common multiple of h and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2)\/3)\/(-2))\/(11\/1155*5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 550*h**2 + 185*h**2 - 109*h**2 + 80*h**2 + 76*h**2 - h.\nAnswer: 782*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 6*sqrt(684).\nAnswer: -1 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -294*b + 121*b + 0 + 61*b + 0 + 119*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1066301 divided by -443?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-20)\/(-6))\/(4\/6). Suppose -5*m + c*z = 30, -3*m = -z + 3 + 5. Which is greater: m or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/4)\/z*z*z)**(-12))**(2\/25)*(z**0\/z*z*z*z**(-9))**(-4) assuming z is positive.\nAnswer: z**(782\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 26055, 26036, 26017, 25998?\nAnswer: 25979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -632680 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -25 + 2 - (2846 + -2890).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 5*i = 25, -2*c + 4*i - 4 = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-66))\/((-3)\/(-9)*-2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/(-15))\/(12\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + 2 + 75\/3. Suppose 0 = 2*w - 104 - x. Suppose -2*m + w = 3*m. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 0 + h**2 - 4*h - 2 + 0*h. Let u(g) = -g - 4. Let d be u(-9). What is the units digit of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from igiidgg. What is prob of picking 2 g and 1 i?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 3*s**2. Let y(x) = 9*x**2 + 7*x**2 - 25*x**2. Give j(y(g)).\nAnswer: 243*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -2*(495\/120)\/(-33)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 111848 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u + 171 - 151. Let x = -12 - -18. Let q be (-3)\/7*x\/(-9). Which is the second smallest value? (a) 2\/9 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 + c + 1. Let x(k) = -4*k**3 + 2*k**2 - k + 3. Let z(h) = 5*j(h) - x(h). Let v be z(-4). What is the greatest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) 0.1 (b) -5 (c) -0.5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5.503707705953 + -1555610.633724205953. Let i = y - -1555637.13. Let b = i - 32. What is b rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 4777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 65\/177 + -2\/59. Sort -5, f, 0.1.\nAnswer: -5, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + (sqrt(500) + -1 + -2 - sqrt(500)))*-2)**2 - -1*(-4 + 0 + -2*sqrt(500) + sqrt(500))**2.\nAnswer: 80*sqrt(5) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) 11.8 (c) 5 (d) -12 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/14700 and -50\/261?\nAnswer: 1278900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -131, 2, -4 in increasing order.\nAnswer: -131, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -686857669\/6 - -114766308. Let a = -289280 + n. Let y = a - 747. Calculate the common denominator of 36\/7 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.926 - -0.266. Let g = -1.34 + m. Which is the nearest to -1\/3? (a) -2\/7 (b) -0.17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 divided by 1196\nAnswer: 4\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 25105777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -78.187 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 5637.11 to the nearest ten.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 178815 is divided by 1064.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**3 - 4*b + 3. List the prime factors of z(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1977215, 3954425, 5931633, 7908839, 9886043, 11863245, 13840445?\nAnswer: 15817643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 35 + -536434?\nAnswer: -536366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be -14*(-4)\/(-32)*-2. Let o(r) be the first derivative of -2 + 1\/5*r**3 + u*r**4 - 49\/25*r**5 - 4\/5*r - 2*r**2. What is s in o(s) = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 47*f + 41*f - 96*f + 11*f**4 - 2 - 2*f**3 - 23*f**4 + 23*f**4 to the form k*f**3 + n*f + c*f**4 + i + o*f**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 7*j**2 + 1 - 39*j**2 - 3 to the form d + i*j + t*j**2 and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 89 + 8\/((-8)\/(-2)). Let w = u - 20. What is the common denominator of -43\/12 and w\/(-2)*4\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 6, -1, -4 in ascending order.\nAnswer: -4, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -478*l + 460*l - 144 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f**2 - 3*f + 2. Let y be i(5). Let t be (-4)\/(-20) + y\/15. Sort 1, t, -5 in decreasing order.\nAnswer: 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h + 1. Let r be v(-3). Let m(i) = 3*i**2 + 2 - i**2 + 3*i - 1. What are the prime factors of m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1597380, 1597389, 1597398, 1597407, 1597416?\n\"Answer: 9*i + 1597371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/1766 and 145\/6.\nAnswer: 5298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8094 + 8061.954. Let p = v - -32. Round p to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 1:12 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence og when two letters picked without replacement from goxoooocoggxfocgoco?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 16*z - 6*z. Let s = -35723\/14 + 2555. What is the common denominator of 412\/(-12)*z\/(-10) and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/596 at most as big as -8.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6215 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-92 + (19 - 0) + 41 + 50 + -102)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -2*m - 14, 2*u = -m - 4*m - 6. Let t(a) = a + 1. Give t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 9*f**3 + 24*f**2 - 5*f + 15. Let x(t) = -2*t**3 + 2*t**2 - t + 3. Calculate 5*x(o) - y(o).\nAnswer: -19*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3 + -1 + (-164 - -172)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - 0. Which is the second smallest value? (a) -2\/17 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1060c69 (base 13) in base 3?\nAnswer: -100102001002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -2\/3, -859, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2 - 3)\/(5\/(25\/5)). Let v(b) = -25*b**3 - 2*b**2 + b + 2. Let q be v(m). Suppose -5*f + 116 = -q. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -79502200 - -1749501041\/22. Let a = 20578 - z. What is the common denominator of a and -77\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.1 + -0.06. Let n = c - 0.34. Let a be (8\/4*1)\/8. Is n greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/4 and (5 - 26\/4) + 153\/(-84)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 + 7*j**2 - 6*j + 4. Let r be h(-8). Let y be 14\/r*(-5)\/7. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.01 (b) -118 (c) 0.548 (d) 0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001100011010100 (base 2) to base 8.\nAnswer: -114324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from spiswwiiwsw. Give prob of picking 1 w and 1 s.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88154625.\nAnswer: 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -44.29 - -43.29. Which is the second smallest value? (a) l (b) -2 (c) -0.3 (d) -1\/39 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2609*u - 2629*u = 60 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0 + 15 - (6 + -17 + 15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 4210 (base 7) to base 15.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**2 + 12*b + 25. Let z be w(14). Let h = 7 - 5. Suppose -k = -2, h*q = -3*q - 5*k. What is the biggest value in z, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -3*p - 1. Let b be z(-2). Let r = 90 - 10. Suppose o = 3*g + 29, -5*o - 2*g = -4*g - r. Solve -b*v - o = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2548) - (sqrt(13) + sqrt(91)\/sqrt(7))*2.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-2*sqrt(1500) - sqrt(1500))\/(-1*sqrt(80)) + (-4*(sqrt(27)\/sqrt(3) - sqrt(9)))\/(-5*sqrt(6)\/sqrt(2)).\nAnswer: -4 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(-2 - 45\/(-23)). Let q = -28 - -12. Let j = q + r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 143296 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 286539 is divided by 82.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - 11 - (-1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the second derivative of -7*y + 0*y**2 + 0*y**3 + 0 + 1\/3*y**4. Let u(g) = -g. Calculate u(p(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 56.24324 years to centuries.\nAnswer: 0.5624324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 2*v - 8. Suppose -4*x = y - 25, 3*x = 4*y - 0*y + 33. Determine h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 933413.\nAnswer: 13, 19, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/21 and 41\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 111000100010001001 (base 2) to base 14\nAnswer: 60561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*m**3 - 2755*m**2*t + 31617*m*t wrt m?\nAnswer: 24*m - 5510*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -0.072, -1\/3, -5, 35, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/(-26))\/(3\/4). Let t = 12549.9 - 12550. Sort -9, t, k, 2\/9.\nAnswer: -9, t, k, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p - 1. Let w be u(4). Suppose 5*z - m + 9 - 41 = 0, 3*m = -5*z + 24. Suppose z*k - 4*k - 10 = 0. Solve -w*j - 3 = 5*t, k*j - t = -0 + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5223 - 5229.158. Let b = 164.858 - 165. Let j = d + b. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000097566 to seven decimal places.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be 20\/4 + 16 + -17. Suppose -2*q = -x*d - 16, -4*q = -5*d - 26 + 3. Sort 2, 0, d, -2 in increasing order.\nAnswer: d, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -616097603\/2738445 + 23\/53695. Let t = v - -225. Do 0 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/15, 2, 12 in increasing order.\nAnswer: 2\/15, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/5))**(5\/4))**50\/(t\/((t**8\/t)\/t)*t**(-6\/11))**49 assuming t is positive.\nAnswer: t**(2714\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -w**3 - 11 + 676*w**2 + 3*w**3 + 18 - 7 as z*w + y + u*w**2 + d*w**3 and give u.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = c + 14 + 4, 4*c + 18 = 2*l. Let q(z) = -3*z**2 - 12*z + 13. Let i be q(-5). Let k be (-3)\/(-2)*i*(8 + -9). Sort 0, 4, k, c in descending order.\nAnswer: 4, k, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**3 - 6*v**2 + 6*v - 5. Let k be i(-7). Suppose 4*s - 62 = k*s + 4*d, -86 = -3*s - d. Let y = s + -6. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22574, -45147, -67720, -90293?\nAnswer: -112866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes before 4:46 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-16)\/12)\/(2\/(-6)). Let q(i) = -i**3 + 6*i**2 + 1. Let w be q(6). Sort -3, t, w in ascending order.\nAnswer: -3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 + 9. Suppose 2*u - w*u + 3*r - 7 = 0, 2*u - r = -9. Let g(p) = p**3 + 6*p**2 + 3*p + 4. List the prime factors of g(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**3 + 2 - 2)*(49082*f - 2 - 49068*f - 3*f**2 - 4*f**2).\nAnswer: 7*f**5 - 14*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5535679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 17 (base 15) to base 7\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 105391\/1037?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 29 - 44. Let n = b - -39. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 96 - 92.92. Let v = 3 - l. Let s = -0.12 + v. Which is the smallest value? (a) -2\/5 (b) -3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(14)\/sqrt(2) + -4 - sqrt(252)*-4))**2.\nAnswer: -250*sqrt(7) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 39 + -24. Suppose -6*w - t = -9*w. Suppose 5*j = j + 8. Solve 3*u - j*u = w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -5503 and -5502 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -8 + 15 + (1 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -173*o**4 - 23*o**2 - 2*o**3 + 83*o**2 - 18*o**4 - o wrt o?\nAnswer: -4584*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(2\/11)\/(n*n**4))\/(n*n**(-1\/2))**(-3\/2))\/(n**2*n*n*(n\/(n*n**2\/n*n*n*n*n*n))\/n*(n**(-2))**(3\/32)) assuming n is positive.\nAnswer: n**(-155\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.775 + -0.045. Let k = z + -0.18. What is the nearest to -2\/7 in 1\/4, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i**2\/7 - 627056*i\/7 - 44500812\/7 = 0. What is i?\nAnswer: -156693, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5 - 19236*r**2 - 4*r + 24483*r**2 - 6 + r - 26 wrt r?\nAnswer: 10494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -144*k**2 + 218*k.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -4) + (1 - (-17 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -58789*f**4 + 36575 wrt f?\nAnswer: -235156*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-7\/2)*n*n\/(n\/n**(-2\/15)))**(-43))**16 assuming n is positive.\nAnswer: n**(27176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q. Let r(u) = -72*u**2 - 24*u. Give g(r(k)).\nAnswer: 72*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 700 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 560*u + 187 = -933 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -3 + 4 - 7 - 1 + c. Let y be u(7). Suppose -b = 2*m - 10, y = -3*m + b - 6*b + 15. Solve -2*q + i = -3*q + 2, 0 = i - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**2 + 12*l + 15. Let r be c(13). Suppose -r*t = -2*n + 156, 2*n = -n - 3*t + 246. Calculate the remainder when n is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-149)\/(230652\/(-72)) - (-2 - 1722\/(-43)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1028 + -1021. Which is the second biggest value? (a) 1 (b) 5 (c) -2\/21 (d) t (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -5*s + 4*s + 2 + 0. Give t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5804, -23939, -54402, -97193?\nAnswer: -152312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 436349981 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, o: 4, h: 1, q: 4, b: 3, u: 2}. Give prob of sequence bhb.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o + 13*o - 75*o + (0*o - 5*o + 3*o)*(3 + 0 - 2) + 2*o + o - 5*o + o - o - 2*o)*(-32 - 3 - 9).\nAnswer: 3124*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**2 + 68*a - 1760. Calculate i(25).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2185.766331 rounded to 0 dps?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 18 (base 11) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*f**3 + 3*f**3 - 3*f**3 + (-1 + f**2 + 1)*(-272 - 33*f + 272) - 6*f + 5*f**3 + 6*f + (-3*f**2 + f**2 + 4*f**2)*(-2*f + 3*f - 2*f).\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 15859 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: b\"What is the rth term of -4900, -37397, -125600, -297361, -580532, -1002965, -1592512?\n\"Answer: -4642*r**3 - r**2 - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13 - 12.5. Let z be 3\/(-2)*(-4)\/3. Suppose 2*q - 20 = -z*q. What is the third smallest value in j, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 161464 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*b + 13 + 32 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 - -256. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 3*v + 2. Let s(q) be the second derivative of -7*q**3\/6 - 5*q**2\/2 - q. Suppose 3*w + w + 36 = 0. Let l = w + 4. Determine l*d(g) - 2*s(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12 + -6 + 14\/2. What is the highest common divisor of s and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87942 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 10:13 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-70)\/(-2*1) + -2. Suppose i - 15 = d, -2*i - 3*d + 22 = -o. Let g be 16 - 5 - 6\/2. Calculate the highest common factor of g and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 89 - 47. Calculate the greatest common factor of f and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 14*n - 24. Let c(w) = -5*w + 8. Give -8*c(v) - 3*f(v).\nAnswer: -2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7\/6? (a) 17 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6014.\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pvfffffpo. Give prob of sequence ffpv.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2. Let q(y) = 12*y**2 + 2*y. Suppose -2*s - 2*s = -v - 18, -3*v + 6 = 0. Let b be 8*(10\/(-25) - 63\/(-120)). Calculate b*q(t) + s*j(t).\nAnswer: 7*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72)\/(sqrt(24)\/sqrt(3)))\/(-6*sqrt(27)\/sqrt(9)) + 3.\nAnswer: -sqrt(3)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -6443488 (base 11) in base 13?\nAnswer: -246c115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*w**5 - 3*w**5 + 2*w**5 + (5*w**3 - 17*w**3 + 43*w**3)*(-69*w + 69*w + 31*w**2).\nAnswer: 963*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*s**4 - 4*s**4 + 2*s**4 + 5*s**2 + 2 + 5*s**4 + 2*s to the form z*s**4 + c*s + p + o*s**2 + k*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 5:29 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 3 + 5)*(-46*s + 25 - 25 + (3 - 3 + 2)*(-2*s - s + 5*s) + 0*s - 4*s + 3*s).\nAnswer: 215*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7 (b) -2 (c) -3\/43 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**2 + 376*i + 17097.\nAnswer: -(i - 417)*(i + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -169452 (base 10) to base 14.\nAnswer: -45a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = v + 4*v + 10, -2*v - 4*g + 14 = 0. Sort 5, v, -18, -2 in ascending order.\nAnswer: -18, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*r**5 - 6*r**4 - 30*r**3 + 60*r**2 + 27*r - 54 = 0. What is r?\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 24185, -7, -2, -0.5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42518, 85078, 127640, 170204?\nAnswer: 212770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:32 AM and 2:32 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -11023184 divided by 688949?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 AM and 3:03 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is b in 61*b - 2232 - 103048*b**2 - 1183*b + 103045*b**2 = 0?\nAnswer: -372, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4369 - -4404. Let z(k) = 21*k**3 + 6*k**2 + 6*k - 6. Let c(l) = 125*l**3 + 35*l**2 + 35*l - 35. Determine s*z(b) - 6*c(b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f + 2*f - 25*f)*(-2 - 4 + 4).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -5.6.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + -112110221221022102?\nAnswer: -112110221221022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 39862*t = 19931*t + 19930*t + 192, 14 = 7*t for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/1*-19*80\/95000\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-56)\/(-7) - 3*1. Suppose s - p = -0*s - m, 2*s + 25 = 5*p. Suppose s = -q - q + 32. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1750*v**2 - 878*v**2 - 870*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 229226807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 207, -600, 6 in descending order.\nAnswer: 207, 6, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 332179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -153 + 152.91. Let j(f) = -f**3 - 4*f**2 + 1. Let z be j(-5). Suppose 4*r = 5*w + z, -5*w = -0*r + 2*r + 2. Sort w, o, 1\/3.\nAnswer: w, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 49032984 and 69069.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**2 - z + 2. Let v be u(1). Suppose v = 3*m - t - 3*t - 228, -m + t = -76. What is the remainder when m is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 10.3 and 165.\nAnswer: 175.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 44.7 - 43. Let o = b - 0.8. Let j = o - 0.875. What is j rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 134233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -126*t**4 + 996 + 123*t**4 - 260*t**2 - 230 wrt t.\nAnswer: -12*t**3 - 520*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 6046*k + 1 - 7627*k + 1266*k)*(k**2 + 2 - 2).\nAnswer: -12407*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-38)\/(-8) - 1\/(-4). Let o be -2 + 3 - n\/7. Let l = -4 + 3. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 22345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(30)\/sqrt(54) + (-3 + (sqrt(180) - (sqrt(180) + 1)))**2.\nAnswer: sqrt(5)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + -4. Suppose -i*p + 16 = 5*a, 4*p + 2*a + a - 14 = 0. Is (-19*3)\/((-3)\/p) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4*(9\/(-12) - -2). Let a(z) = 34*z - 17. Let d be a(x). Let r = 66 - d. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 55 = 63. Let k be -2 + 2710\/(-15) + d\/12. Round k to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -25, -30, -37, -46, -57?\n\"Answer: -o**2 - 2*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = 5*l - 20. Calculate the smallest common multiple of 4 and ((-9)\/(-3) + 0)*l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -64 - -105. Let y = -47 + j. Which is the biggest value? (a) -0.4 (b) -2 (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -21*c**2 - 4*c. Let z(r) be the third derivative of r**5\/3 + r**4\/8 + 22*r**2 - 1. Calculate 3*k(q) + 4*z(q).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 446554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6938 + 6840. Which is the nearest to 0? (a) 4 (b) -1 (c) g (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -300\/59 (b) 2 (c) 0.3 (d) 3 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*t + 8*l - 66 + 31, 11 = -5*t - 4*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10880382 to the nearest integer?\nAnswer: 3299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11.1 - -11.11. Which is the fourth smallest value? (a) -1 (b) -2\/7 (c) 3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4007 + 13047?\nAnswer: 17056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 271650, 1086316, 2444010, 4344732?\nAnswer: 6788482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 40 = 5*g + 5, 4*i - 38 = -2*g. Calculate the remainder when 23 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/8077824 and 61\/4032.\nAnswer: 56544768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 200558764 a multiple of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -14 - 0 - (4 - 7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.053 (b) -0.5 (c) 3\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 19 = -o, 5*g - 1 = 3*o + 86. Suppose -f + 60 = 3*f. Suppose -3*u = -g - f. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 178 a factor of (-27 + 0)\/(4\/((-7120)\/12475) - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, b: 10}. What is prob of sequence hh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 18183511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of 3*v**2\/2 - 3*v + 1. Let u = 18 - 12. Let s be 6\/(-18) + (-10)\/u. Let y(h) = 4*h - 4. Determine s*y(b) + 3*r(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 0*v - 108 = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -1. Let c(r) = -1731*r + 2 - 7*r**2 + 1733*r + r**2. Suppose 3*l + 9 = 0, 4*l - 7 = 3*h - 22. Determine h*c(o) + 2*j(o).\nAnswer: -6*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 4*f - 4 = -0, 5*f - 5 = 5*r. Suppose 3*o - d + 0 = -6, -2*d = -o + 3. Let g = o - 0. Put r, g, -4 in ascending order.\nAnswer: -4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s + 11. Let v be r(-5). Let u = 30 + v. What is the remainder when u is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 1.150753 centuries?\nAnswer: 0.1150753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 + -9.3. Which is the closest to -2\/7? (a) 1\/9 (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 312 divided by 104\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 5*h**2. Let t be (-1)\/(-2*4\/(-48)). Let q be (-11*(-2 + 3))\/1. Let b(i) = 2*i**2. Let g(w) = -w**2. Let u(s) = q*g(s) + t*b(s). Determine p(u(r)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -2*x - 4. Let m(r) be the third derivative of r**4\/24 + 5*r**3\/6 + 22*r**2. Let l(o) = -6*d(o) - 5*m(o). Let y(k) = -3*k. Determine -2*l(t) - 5*y(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - 4*f = 20, -9*c - 3*f = -12*c + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 456 + -183. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of -x**5\/180 + x**3\/18 - 5*x**2. Factor p(n).\nAnswer: -(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -17917*y + 5631. Let m be n(43). What is m rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -32*o + 233 - 73. Suppose -7*w + 2866 = -o*w. List the prime factors of w.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1 + (5 + sqrt(80) + (-2 + sqrt(80) - sqrt(80))**2 + sqrt(80) + -3)*-5).\nAnswer: -120*sqrt(5) - 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1558395960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/9 + 4\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 - -16. Suppose -d - 2 + q = -4*r, -2*r - 5*d = 5. Sort 1, 6, r.\nAnswer: r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (89 - 90)*(1 - (2 + 21743)). Calculate the highest common divisor of 144 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -4, 1\/7, 5, -4\/15, -622, 3?\nAnswer: -622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -91 - 460*a**3 - a**2 - 895*a**3 + 294*a**3 - 251*a**3 + 7*a**2 wrt a.\nAnswer: -7872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 3875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**(24\/7)*l*l*l\/l**27 assuming l is positive.\nAnswer: l**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 + 24*k**2 + 6*k - 43. Determine y(-25).\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 41 + -26. Suppose 10*d - 7*d = l. Let p be 0 + 2 + (-1)\/1. Solve d = 4*v + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 201217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 3:46 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-27)\/(-18) - -3)*(-8)\/6. Suppose 4*l = 3*y - 35, -y - 5*l = -2*y + 30. Put y, 0, -3, d in descending order.\nAnswer: y, 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -20 (b) -0.5 (c) 2\/11 (d) -1\/8 (e) 2 (f) -2.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 13334*v + 319 = 13363*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -21440 (base 6) to base 11\nAnswer: -2266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5*15\/50*(-6)\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -60 + -1580?\nAnswer: -1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 4*i - 3*i. Let q be 1\/(-2 + i\/(-6)). Solve -4*z = -q*y - 0*z + 6, 4*z - 15 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + (5 - 23) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.42, -6, 1 in descending order.\nAnswer: 1, -0.42, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 5620 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4100237 + 70*f - 4100237.\nAnswer: 70*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -21*t + 6. Let w be p(-6). What is the tens digit of (-3)\/15 + w\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - -2 - -2 - (-5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(2\/5)*x)**(2\/61))**(-32)\/((x**(-1\/2)\/x)**(-8\/9)*(x**4*x)\/(x\/x**(-2\/5))) assuming x is positive.\nAnswer: x**(-5858\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1533044125 - -4?\nAnswer: -1533044121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sum 6 and -4.6.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrv. Give prob of sequence rrvr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 0 + 2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 9\/(-12) + 244\/4. Let h = z + -63. What is the common denominator of h and -55\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 4*n**2 - 4*n - 1. Let b(m) = -9*m**2 + 7*m + 1. Let d(g) = 3*b(g) + 5*x(g). Let t(p) = -p**3. Let s(l) = d(l) - t(l). Give s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 495 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*t**2 + 44*t - 42*t**2 - 44*t - 41*t**2.\nAnswer: -161*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(2448) - (1 + sqrt(2448))))**2 - (0 + sqrt(2448) + sqrt(2448) + -5)**2 - ((6*-1*sqrt(2448))**2 - (6*2*sqrt(2448))**2).\nAnswer: 240*sqrt(17) + 254592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be -94*(5 - (-44)\/(-8)). What is the highest common divisor of 235 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oov when three letters picked without replacement from {s: 1, v: 6, o: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -8169 divided by 1167?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 4*w = 4*z, -z - 5*w + 21 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.8 - 0.4. Let u = 32 - 29. Let t = 1 - 2. What is the second biggest value in u, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2520*n**3*o**2 + 10214*n**3*o - 2*n**2*o**2 - 45*n**2*o - 53145*n*o wrt n?\nAnswer: -15120*o**2 + 61284*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 186 - 87. Let t be 3\/9*78\/2. Let l = t + -4. What is the highest common factor of f and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 134118 is divided by 33435?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 515 and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 3:14 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of -63*h**5\/20 - 73*h**4\/4 + 228*h + 91. Let g(a) be the first derivative of i(a). What is the third derivative of g(m) wrt m?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -80\/33 - -34\/11. Sort -1, k, -0.3, 0.2.\nAnswer: -1, -0.3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28357057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 59 (base 11) to base 13\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -46*x**2 - x**3 - 6 + 52*x**2 + 1. Determine z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:14 PM and 1:00 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, h: 2, e: 1, i: 1}. Give prob of sequence hhie.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -20*p + 3. What is g(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2a40 (base 12) in base 2?\nAnswer: -1001101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10435 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -744 + 762 + (-1 - 0) + -21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 2\/51 (b) 2.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -438 + 838. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 3)*(2*y**2 + 0*y**2 - 3*y**2) + (-4*y**2 - y**2 - 7*y**2)*(-2 + 3 + 1).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(70)\/(sqrt(1440)*-1) + sqrt(224)\/(sqrt(16)\/sqrt(2)) + 1)*3)**2.\nAnswer: 69*sqrt(7)\/2 + 3847\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -0.18 at least 35\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*r**2*y - 216*r**2 - 314390*r*y**3 - 108*r with respect to y.\nAnswer: 2*r**2 - 943170*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -44b9b0 (base 12) to base 7.\nAnswer: -12224142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 0.7, 1\/5, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 14816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/582 and -49\/652131?\nAnswer: 1304262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 34780 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 76 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 11653266 divided by -1?\nAnswer: -11653266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = 5*h + 5400*k - 5399*k, k = 4*h - 37 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 19198218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - -7) + -3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 8:29 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y = 1865 + 5271. Is y\/(-6)*(-6)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4080, -8160, -12242, -16326, -20412?\nAnswer: -24500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, q: 3, t: 5, s: 2, k: 1, x: 3}. Give prob of sequence ss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12941 = 24*w - 28*w - u, -2*w + 5*u = -6487. What is the remainder when w is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*j + 349 = 3*g, -550 = -2*g - 4*j - 596 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 917933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + -2*1\/1. Let w be m - 0 - (-1 - -6). Let j be -4*2\/(-44) + 665\/(-209). Sort 4, w, j.\nAnswer: w, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j**3 - 39*j**2 - 42*j = 0. What is j?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1475 + -0.0275. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 1\/2, 5 in decreasing order.\nAnswer: 5, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 645 - -d?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 518 - -270. Suppose q = -3*u + 104, u + i - 236 = 5*q. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -120\/1829 + -88661\/14632. Let b = -41977\/18 - -2331. What is the common denominator of b and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 15796719225*c**2 + 4273290*c + 289 = 0.\nAnswer: -17\/125685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**2 - 2275525*k + 2275530.\nAnswer: -5*(k - 1)*(k + 455106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3291, 4, -2, -4.\nAnswer: -4, -2, -1, 4, 3291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 10962 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x - 5*x = 4*p - 20, 2*x - 15 = -3*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*q - 386 - 17*q**2 - 414 + 802 + 2*q**4 to the form c*q**4 + o*q**3 + b*q + j + d*q**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2455, 4903, 7353, 9805?\n\"Answer: r**2 + 2445*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 58246697827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/(-240)*-9)\/(123\/5248)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/(-6)*(0 + (-450)\/10). Let m(o) = 2*o**2 - 149*o - 70. Calculate m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -105942\/5 at most -21187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 861 and 1355501.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 51\/15 + 2\/(-5). Suppose s - 2*g + 5 = 0, s + b*g - 2 - 8 = 0. Let h(n) = 54*n**3 - 2*n**2 + n. Is h(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s - 1358320628628 + 1358320628628.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 - 1. Suppose d*k - 2*k + 3*j - 5 = 0, 0 = -4*j + 12. Solve -k*v = -5*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*l**3 + 3863406 - 3863406.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 44.06 - 43. Let x = -0.06 + w. Which is the closest to 2\/9? (a) x (b) 3\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14838534 to the nearest integer?\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6026)\/(-184) - 224\/8?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 7\/2*18\/21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 176*s + 12854 + 3263 = -51*s for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 10*j = -295, 2*j + 223 = n - 0*j. What is the least common multiple of 47 and n?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 268214 or 268217?\nAnswer: 268214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51*0.028.\nAnswer: 1.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2. Let c(x) = -14*x**2 + 12. Let v(s) = -16*s**2 + 1 - 9*s**2 + 24*s**2. Let z(j) = c(j) - 12*v(j). What is z(m(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -25, -50, -99, -178, -293, -450, -655, -914?\n\"Answer: -u**3 - 6*u**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3421, -16, -302 in ascending order.\nAnswer: -3421, -302, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -116\/59, -0.112, 0.1?\nAnswer: -116\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -101000010111111 (base 2) to base 9.\nAnswer: -31317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/6 - (4\/3 - 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 (base 11) in base 7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 2*v**2 + 12*v + 26. What is the tens digit of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 + -114. Let a = h - -152. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 49626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/5 - 24\/(-60). Suppose u = -10*o + 171 + 479. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5818 take away -1.455781?\nAnswer: -5816.544219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 48086107907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + c**3 - 2*c)*(-2*c**2 + 2*c**2 - 2*c**2) + (49*c**4 - 28*c**4 + 60*c**4)*(4*c - 4*c + 2*c).\nAnswer: 160*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/2 and ((-20)\/28400)\/((-7)\/889)?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -111221010 (base 4) to base 14.\nAnswer: -2443a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(((-2)\/(-1))\/2). Let d = 27 + -18. Calculate the least common multiple of d and 5 + (-1 - (g - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**2 + 2*p**2 - p**2)*(2 + 2*p**3 - 2) - 158*p**4 + 7*p**5 + 158*p**4 + 6*p**5 - 3*p**5 + p**5.\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 4:18 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -2*d**3\/5 - 144*d**2\/5 - 162*d - 1188\/5 = 0.\nAnswer: -66, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2244*r**3 + r**2 + 7*r - 41. Is p(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -382*p + 195*p + 37*p**2 + 187*p + 2*p**3 + 1 in the form s + y*p**3 + g*p**2 + f*p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x + 5. Let m be u(-7). Let n be 13\/m + (-2)\/(-4). Let l = n - -4. Round l to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {w: 8, u: 2, a: 1, v: 1, t: 6}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/27 + 8\/6*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 199942266 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/(-216)*-8)\/((-2)\/(-78))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -47 + 3096*t - 5033*t + 47. Let m(b) = 2*b. Calculate m(q(o)).\nAnswer: -3874*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -4*m + 18. Let f(l) = 13*l - 53. What is -2*f(k) - 7*w(k)?\nAnswer: 2*k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43066 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 24 = k. Find the third derivative of 10*r**k + 7*r**2 - 59*r + 59*r wrt r.\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -15294375 divided by 339875\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 0*b + 11 = -5*y, 3*y + b = -10. Suppose -18*d + d = -204. What is the lowest common multiple of 11 and d + -1*(-1)\/3*y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1673?\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1631.4 nanometers in centimeters?\nAnswer: 0.00016314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -98*n + 522. Let f be j(-11). Calculate the highest common divisor of 50 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/5, 2.8, 7, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 25, -15, -0.03, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-23)\/(1 + (-4 - (-300)\/102)). Suppose 0 = -12*f + 1039 - r. What is the highest common factor of f and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6*-2*(-2)\/8. Let t(r) = -25*r - 35. Let i(l) = 2*l + 3. Let n = -182 - -217. Let s(g) = n*i(g) + u*t(g). Let v(p) = 2*p. What is s(v(y))?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be (100\/80)\/((-15)\/(-72)). Solve -3*o = -0 + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 32001261*n**4 + 32858093 with respect to n.\nAnswer: 128005044*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -3*j + 1. Let d be k(4). Suppose -4 = -5*i - 104. Let v = d - i. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -17, -3, 5 in descending order.\nAnswer: 5, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 7*j**2 + 16*j - 4. Let x(r) = -5 - 53*r + 123*r + 2 - 57*r + 6*r**2. Let d(m) = 6*x(m) - 5*y(m). Calculate d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14\/11 + -48\/55. Which is the nearest to 0.1? (a) m (b) -3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -247*b**2 + 489*b**2 - 234*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 5*j + 4*x, 0 = 5*j + x + 16 - 0. Let t(w) = -2*w - 9. Let y be t(-6). Let v be (y\/(-6))\/(2\/(-2)). Sort v, -3\/5, j in decreasing order.\nAnswer: v, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 109330 and 2755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -2870 by 35.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1356? (a) -3 (b) -0.2 (c) 92 (d) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**3 - 747*a**2 + 747*a**2 - 3*a**3 + 1. Let f(i) = 3*i**3 - 11*i**2 + 41. Let o(g) = -f(g) - 4*s(g). Differentiate o(j) wrt j.\nAnswer: 3*j**2 + 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 197\/1710 and 49\/2223.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 + 42. Suppose 573 + 287 = j*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 654709 = -25*f + 2601636 + 4393598. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -15 - 1. Suppose 3*p = z*p. Let t(q) = -7*q**3 + 84*q**2 - 45*q + 540. Let x be t(12). Solve 2*c + x*c + 2 = p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4325563 millennia to centuries.\nAnswer: 4.325563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 39 times -0.161?\nAnswer: -6.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -223 = -37*h - 260 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*l - 373051 = 333754. What are the prime factors of l?\nAnswer: 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/20 - (-1107)\/(-4185)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 4*l = -29, -5*k + 20 = 2*l - l. Suppose -5*t + 8 = -k*p - 7, 15 = 5*p + 5*t. Suppose 5*a = 2*a, -c + 2*a + 39 = p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*y**2 - 24*y**2 + 35*y**2.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - 115\/(-10))\/((-1884)\/(-144) + -13).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -91*a**2 - 6*a**3 + 93*a**2 - 11*a**3 as f*a + k*a**2 + l*a**3 + p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -66 + -b9120?\nAnswer: -b9186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 253335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + 4\/((-4)\/(-5)). Calculate the greatest common factor of 40 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a2 (base 15) in base 12?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**2 + 5*j + 6. Give c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 233740 (base 12) to base 5.\nAnswer: 121103422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 18612650 to the nearest one hundred thousand.\nAnswer: 18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(1\/5)\/(p\/((p\/((p*p\/p**(2\/37))\/p))\/p))*p**(-9\/5)*p*p**(-1\/2) assuming p is positive.\nAnswer: p**(-1127\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 41735 by 2.\nAnswer: 41735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -4*v - 8, -4 = -4*j - 4*v + 4. Let f(i) = -i**3 - 15*i - 3*i**j - 5 + 5 + 8*i + 6*i. Calculate f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 (base 10) in base 4?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 24 - 23.24. Let j = l + 31.24. Let w = j - 31.937. What is w rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h**(-6)*h*h**(1\/11)*(h*h**(-2\/3))\/h*h**6 assuming h is positive.\nAnswer: h**(47\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18.1 + -18. Let y = 0.8953 + -0.5953. Which is the nearest to u? (a) -1\/4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102967 + 1.5?\nAnswer: -102965.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -81.79 - 0.21. Let r = g - -78. What is the closest to 4 in 3\/5, r, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 3*q = q. Let w be q + 38 + 0 + 0 + -1. Suppose -32*z + w*z = 255. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 168104?\nAnswer: 2, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -1449\/4 + 975\/8*y - 3\/8*y**2 = 0 for y.\nAnswer: 3, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3426*v**2 + 3*v + 9*v - 3427*v**2)*(0*v + 0*v - 3*v) to r*v**3 + i*v + a + n*v**2 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o**2 + 0*o**2 + o**2)*(-o**3 - 2*o**3 + o**3) + 4046*o**5 + 2*o**4 + 17078*o**5 - 1301*o**5.\nAnswer: 19821*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -68, -176, -326, -524, -776, -1088, -1466?\n\"Answer: -l**3 - 15*l**2 - 56*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 8*d + k = -16, d - 2*k + 3 = 0. Let w be (-24)\/(-16)*2*2\/2. Suppose 72 = 21*m - w*m. Sort m, d, 1 in descending order.\nAnswer: d, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 31 - -3. Let c = 34.055 - a. What is c rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1790*r - 948 + 463 + 485 to the form l*r + g and give l.\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -557*o = -250 + 3254 + 10921 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10\/7? (a) -10 (b) -1140 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65)\/(sqrt(10)\/sqrt(2)) - -5*sqrt(39)\/sqrt(3))*-6.\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3255054623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -43 + 274?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2492417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -x**3 + 1979858*x**2 + 3959719*x + 1979860 = 0 for x.\nAnswer: -1, 1979860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1850652, 3701019, 5551386, 7401753, 9252120?\nAnswer: 11102487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1853 < 967.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 128641942417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 51479214 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -110302 (base 5) to base 13\nAnswer: -1985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -209, -14, -3, 0 in decreasing order.\nAnswer: 0, -3, -14, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + (192 - 87) + -114?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d - 10. Let p be n(-12). Let k be 1528\/72 - p\/9. Suppose 5*c = 2*c + k. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 501450 divided by 30.\nAnswer: 16715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 25626373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 323025779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -295 + 290. What is the nearest to 0.1 in 0.2, 3, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(-6 + (-3 - -10)). Let u(p) = -6*p**2 - 4*p - 3. Determine u(l).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -10*t + 12*t. Suppose 3*n - t = -2*m, 0 = 5*m - 6 - 9. Let w be 30\/n*(-2)\/(-5). Which is bigger: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 5 + 5 + (-3*(sqrt(2816) + -1) - -6*(0 + sqrt(2816))).\nAnswer: 17 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 4*v**5 + 728*v**4 - 3956*v**3 - 40888*v**2 - 93104*v - 65824 = 0.\nAnswer: -187, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5*5\/25*1\/(3\/2077113) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 - 4*y + 2. Let a(i) = i**2 - 2*i + 1. Let g(h) = 6*h**2 - 5*h + 3. Let w(s) = 5*a(s) - g(s). Calculate 4*t(l) - 3*w(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 492613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 2 - 4)*(478*n - 478*n + 24*n**2) + 4*n - n**2 - 4*n to the form z*n**2 + q*n + x and give z.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 1\/4 (c) 6\/7 (d) -1\/17 (e) -2\/21 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 19, 779, -4412?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 436726701 to the nearest integer?\nAnswer: 20898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 2*y**5\/19 - 106086*y**4\/19 + 1870802028*y**3\/19 - 572691757356*y**2 - 80880804712602*y - 237485529361170 = 0.\nAnswer: -135, -3, 17727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:25 PM and 11:42 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(1\/12)\/p*p*(p**(-3)\/p)\/p*(p\/(p*p**0*p))**(1\/17) assuming p is positive.\nAnswer: p**(-1015\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17008*w**5 - 85755*w**2 wrt w?\nAnswer: 1020480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 3 + 3*s**2 - 4*s**2 + 1. Let l be w(0). Does 11 divide -11*((-6)\/(-3) - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4030813, -8061628, -12092445, -16123264, -20154085, -24184908?\nAnswer: -28215733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*q - 195*q - 70 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 5886 take away 0.12?\nAnswer: 5885.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 322117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 585734 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -496.3 times 759?\nAnswer: -376691.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, x: 1, i: 6, s: 1}. Give prob of picking 1 i and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 2*k + k = -101, 0 = 3*k - 15. Let u = 355 + p. Is u 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 iiitlliwwitllttc. What is prob of picking 1 i and 2 t?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 7*o - 35. Let q(y) = -y**3 - 6*y**2 - 3*y + 4. Let f be q(-5). Let p(z) = 6*z - 34. Determine f*p(l) + 5*a(l).\nAnswer: -l + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.079613548 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 4, f: 3}. Give prob of sequence fllf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 - (-4)\/(-3)*(-30)\/4. Suppose -5*n + w + 14 = 0, -17*n - 4*w - 6 = -h*n. Suppose -3*l = -4*r + 27, -4*l - 31 = l - n*r. Which is greater: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21, 6, -35, -114, -243, -434, -699?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 113 and 282040785.\nAnswer: 282040898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = s + 12. Suppose s*x - 264 = -x. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z**4 - 2*z**5 + 4*z**5 - z**4 + (-13*z + 60 - 60)*(2*z**4 + 3*z**4 - 4*z**4).\nAnswer: -11*z**5 + z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17 - -9.5. Let s = 3093 + -3100.5043. Let x = i - s. Round x to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -65, -55, -45, -35, -25, -15?\n\"Answer: 10*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.1 in 2, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 411415?\nAnswer: 5, 107, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13065*r**2 - 15717*r**2 + 1165*r**2 + 5388*r**2.\nAnswer: -22229*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the first derivative of r**3 + 1. Let u(a) = -3*a. Calculate c(u(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**2 + 5. Let c(w) = 17*w. Let i(k) = 24*k. Let s(l) = 7*c(l) - 5*i(l). Give s(r(j)).\nAnswer: -2*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33435 is divided by 255.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 115 = -71. Calculate the remainder when b is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/36 and -37\/9205634?\nAnswer: 165701412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-18\/7)\/p*p)**(-49)*(p*p\/(p*p\/p**(-6)))**(1\/7) assuming p is positive.\nAnswer: p**(533\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6003631 + 4?\nAnswer: -6003624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbggggbgggggbgggggbg. Give prob of sequence bg.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 15\/7*h + 1\/7*h**3 - 9\/7*h**2 - 1 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -10010 (base 3) to base 2\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 40 - 37. What is the second smallest value in i, 5, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-y + 2 - 2)*(196 + 394 - 173) + y - 2*y - y + (1 + 0 + 0)*(-7*y + 2*y + 3*y) to m + z*y and give z.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*b**2 + 7*b**2 - 15*b**2 - 132*b**3 - 405*b**3 + 124*b**3 to r*b**3 + h*b**2 + m*b + o and give r.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the third derivative of o**4\/24 - 11*o**3\/6 - 15*o**2 + 7*o. What is w(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the second derivative of -j**5\/10 - 58*j**4 - 10092*j**3 + j + 2. Factor y(f).\nAnswer: -2*f*(f + 174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -193368, -193382, -193408, -193452, -193520, -193618, -193752, -193928?\n\"Answer: -t**3 - 7*t - 193360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6037 is divided by 355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 - 21\/6 - (-14)\/4. Let c(i) = 26*i**2 - 2*i - 1. What is the units digit of c(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*u**5 + 30168392*u**4 - 96538770*u**3 + 54303028*u**2 + 60336736*u - 48269376 = 0.\nAnswer: -4\/5, 1, 2, 3016836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 372 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 966376043*a**4 - 1146542231*a.\nAnswer: 11596512516*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -112403 - -50?\nAnswer: -112333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000207100696 rounded to 7 dps?\nAnswer: 0.0002071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 31870 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = -3*j - 24. Suppose 0 = -w - f + 3 + 9, 5*f + j = w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 176302, 176310, 176340, 176404, 176514, 176682, 176920, 177240?\n\"Answer: 2*h**3 - h**2 - 3*h + 176304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*c - 36*c - 35141 = -31163 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + o - 1. Let c(x) = 4*x**3 - 23*x**2 + 4*x - 4. Let g(w) = -c(w) + 4*l(w). Find the third derivative of g(r) wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 832 + 833 - 1665 + 685*n**2 as y*n**2 + r*n + z and give y.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of -b**6\/210 + 13*b**5\/210 + 5*b**4\/42 - b**3 - 55*b**2. Factor s(k).\nAnswer: -2*(k - 7)*(k - 1)*(2*k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 + -4 - (30 + -2 + 2)) + 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -447 at least 310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 218621 - 134358. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 472 - -2164. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 19*p**2 - 31*p - 8. Let j be q(17). Suppose 0 = 14*t - 183 + j. Suppose n + t*n = 264. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 7:03 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2\/5 - 238*i\/5 + 1764\/5.\nAnswer: -2*(i - 7)*(i + 126)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 276 - 245.1. Let s = l + -31. Let i = 0.1 - -0.1. Which is the closest to i? (a) -1 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 0.5, -4, 0.35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -21*h**3 - 3*h**2 + 3*h + 9. List the prime factors of a(-6).\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 919900 to the nearest 10000.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 3*w. Let o(v) = -3*v. Let k(x) = 7*x. Let l(q) = 2*k(q) + 5*o(q). Calculate l(b(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 62790 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and -222\/97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 115 - 5 - 10*o**3 - 96 + 8*o**3.\nAnswer: -2*o**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 984606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -529*v**3 - 7 - 14 - 6 - 2*v**4 + 528*v**3 + 3*v**2 + 3*v**4 in the form h*v**4 + k*v**2 + r*v**3 + q*v + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14175.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add 3395772 and -9.3026.\nAnswer: 3395762.6974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of -1400*f**3\/3 - 421*f**2\/2 - 1696. Find the second derivative of r(p) wrt p.\nAnswer: -2800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51355 is divided by 253?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -294 - -307. Solve 4*y - y = 5*c + 1, 2*c + 3*y + q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -12618*d**2 - 12669*d - 45. What is z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8149*f*v**4 + 2*f*v + 209*f wrt v.\nAnswer: -97788*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qb when two letters picked without replacement from {r: 1, b: 2, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**3 - 3*h**2 - 8. Let f be v(-3). Let z be (f - -7 - (-2 + 57))\/(-2). What is the greatest common factor of z and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -27, 15, 30, 0 in increasing order.\nAnswer: -27, 0, 5, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.049 - -0.549. Let h be (-12)\/(-80)*-2 - 4\/(-10). Which is the closest to -0.5? (a) t (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*(-1)\/(-21))\/((-810)\/315).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.4 - 0. Let g = -1227.01 - -1227.1. What is the closest to 1 in 1\/3, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -3*z - 2*x, 18188*z - 18207*z + 3*x - 59 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*j + 147 = 84*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*l - 20. Suppose l*b - 60 = -b. What is the remainder when ((1430\/462 + (-2)\/(-14))*-3)\/((-8)\/28) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (65*(-14245)\/(-4550))\/((-11)\/(-4))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * -12.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2347417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-130*a - 304 + 304)*(2*a - 2*a + 2*a) + (2*a**2 + 4*a**2 - 3*a**2)*(5 + 2 - 6) to the form w*a**2 + o*a + t and give w.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 573 divide 723922470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -567 - -565. Let r = 6 - 4. Which is the biggest value? (a) r (b) h (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.31 + -5.31. What is the second biggest value in -1, -3\/28, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 497979 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 0.2, -10522?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 4, p: 5, j: 1}. What is prob of sequence jppp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8766804, -8766802, -8766800, -8766798, -8766796?\nAnswer: -8766794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/21, -0.4, -2\/351, 5, 2 in ascending order.\nAnswer: -0.4, -2\/21, -2\/351, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 8241 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -849045, -848551, -848069, -847605, -847165, -846755, -846381?\nAnswer: -846049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 5 (b) -3 (c) 1\/4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -856.487 rounded to the nearest integer?\nAnswer: -856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/63 - 27\/(-7). Let q(v) be the second derivative of 0 + 1\/60*v**o - 1\/10*v**2 - 2*v + 1\/30*v**3 - 1\/100*v**5. Factor q(m).\nAnswer: -(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -z**4 - 2*z**4 + 5*z**4 + (-5 + 5 - z)*(-5*z**2 - 3*z**3 + 5*z**2).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720)*1 + (-2*sqrt(120))\/sqrt(6))\/(-4*(sqrt(256) - (sqrt(256)*1 - sqrt(256) - sqrt(256)))*3).\nAnswer: -sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 39, 134, 321, 618, 1043, 1614, 2349, 3266?\n\"Answer: 3*l**3 + 28*l**2 - 10*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 112569 by 6.\nAnswer: 37523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -55838, -55846, -55860, -55880?\n\"Answer: -3*h**2 + h - 55836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 87a (base 14) to base 4.\nAnswer: 122030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3544, -7053, -10558, -14059, -17556?\nAnswer: -21049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-16)\/7 + (58\/7 - 8). What are the prime factors of (i*8)\/(-4) - (2 + -403)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b = 2*z + z - 74, -4*z - 2*b + 215 - 107 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/6*3*-2*(-6)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m\/(m*(m\/(m*m\/(((m*(m**(1\/3)\/m*m)\/m)\/m*m)\/m)))\/m))\/(m*m*m\/m**21))**(-15) assuming m is positive.\nAnswer: m**(-325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**2 + 23*u - 23. Calculate a(16).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:15 AM and 11:31 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -17585171194378 - 18\nAnswer: -17585171194396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + -8984?\nAnswer: -8988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -4*b**2 - 40*b - 244. Calculate t(-7).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -5, 112, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**5 + 3*h**5 - 2*h**5)*(-15 - 25 + 9 - 28)*(-6 - 9 + 4).\nAnswer: -1298*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41340?\nAnswer: 2, 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 12 (b) 0 (c) -1\/5 (d) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/8? (a) 0.3 (b) 38 (c) 4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iqdrrqddqdiiqi. Give prob of picking 4 q.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60*3*-2*((-248)\/(-31))\/(-144).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/(a\/(a\/(a\/a**(-2\/7)))))**12)**(2\/79)*(a*a**(-8)*a**(-5))**(-2\/77) assuming a is positive.\nAnswer: a**(3216\/6083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -345 = -6*c - 387 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-141)\/(-5) - 3)\/(402\/(-60) + 7). Suppose -3*n - 3*f = -8*n + 288, -4*f = -n + 44. Let t = n - 32. What is the highest common factor of y and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 5*t**2 - 14*t + 2. Determine f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2896.099 - 2884.0989984. Let t = -240 - -228. Let x = t + l. What is x rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -74, -144, -258, -416, -618, -864, -1154?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2 (b) 5 (c) -46 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/672 and 101\/960.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - g + 68 + 29 = 0, 3*t - 49 = 4*g. Suppose 68 = 15*o + t. Determine a so that -4*a + 2*a**o + 9*a - 2*a**2 - 9*a = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 291637294?\nAnswer: 2, 13, 11216819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((39\/(-6))\/(-13))\/(3\/636) is divided by (-76)\/(-6) - 4\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1052 divided by 2882\nAnswer: -526\/1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(84)\/sqrt(3) + sqrt(84)\/(sqrt(15)\/sqrt(5) + sqrt(3)))*-2)**2 + 2.\nAnswer: 24*sqrt(7) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*161\/(-184)*(6\/8)\/((-1512)\/(-2880))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 PM and 10:40 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 75\/12*-1*4. Let s = f + 38. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 28232707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15*a**5*p**3 + 9*a**3*p**3 - 13*a**2*p**3 + 4*a - 3*p**3 wrt a?\nAnswer: 900*a**2*p**3 + 54*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7179 = 68*w - 139701. Is 48 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2617379*o = 2615867*o - 119448 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23173 is divided by 3861.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and 336?\nAnswer: -134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*c*q**2*t**2*z - 9*c*q**2*t*z - 5*c*q**2*t - 30*c*q*t**2*z**2 + 7*c*q*z**2 - c*t - 3*c*z**2 + 8*q**2*t*z**2 - 6*t**2 wrt t.\nAnswer: 18*c*q**2*z - 60*c*q*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -9*l**3 + 57*l**2 + 20*l - 5. Let t(f) = -f**3 + 2*f**2 + 4*f - 1. Determine -g(o) + 5*t(o).\nAnswer: 4*o**3 - 47*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48\/36*-3*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1224073 (base 13) to base 6\nAnswer: 320441451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3845133?\nAnswer: 3, 427237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 22 - -65?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l\/(l*l*l**(-6)))*l*l**(2\/7))**(-10\/7) assuming l is positive.\nAnswer: l**(190\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-64)\/(-77) + 128\/(-448). What is the nearest to 0 in 3, r, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 1414, -468\/185 in ascending order.\nAnswer: -468\/185, 1\/4, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 82781222 divided by -2138\nAnswer: -38719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -5*d + d - 3*n, -3*d - 2*n = -10. Sort -27\/7, 0.4, 0.3, d in increasing order.\nAnswer: -27\/7, 0.3, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 3*c - 4 - 1 + 2 + 1 - 6*c + (-4 + 3 + 2)*(2*c + c - 4*c) in the form s + o*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, -33, -158, -429, -900, -1625, -2658, -4053?\nAnswer: -5864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/2 - 0) + (-24024)\/5824.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13 in 5\/6, 44, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 d when four letters picked without replacement from mmmmmmmdmmmdmddmmm?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -2 - 4*v - 5 + 3*v. Let d be s(-8). Let u(t) = t**3 - 4*t**2 + t. Let p be u(4). Sort -2, p, d in descending order.\nAnswer: p, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 314 - 311. What is the nearest to -3 in -0.3, 0, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - s + 18 = 0, 5*v - 1642366*s + 1642364*s = 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 3\/11 and -5295587 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 3 + 3)*(4*k**2 + 1 + k**2 - 10*k**2 + 0*k**2 + 4*k**2 + 2*k**2 + (k - 4*k + 2*k)*(2 - 2 - k) + 2*k**2 + 0*k + 0*k).\nAnswer: 8*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 + 2 + 7 - 4 - 633*j - 34 + 15.\nAnswer: -633*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 762 a factor of 29401008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1040 (base 5) to base 6\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.027? (a) 3\/2 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -21.828 - -17.828. Put -0.3, -9, 2\/5, 5, b in increasing order.\nAnswer: -9, b, -0.3, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.571981776 rounded to five decimal places?\nAnswer: 0.57198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*l*v**3 + 6*l*v**2 - 12*l*v - 25782*v**3 - 124*v**2 wrt v.\nAnswer: -12*l - 154692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*x - 4*m, 8*m - 11*m = 3*x. Is ((-10)\/(-10))\/(-2*x\/12742) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 84*a**2 + 463*a + 15. What is the remainder when s(-6) is divided by 87?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 3*n - 36, 14 = z - 3*n + n. Let s be 27\/z + (-3)\/(-2). Let w = 50 - s. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2 (b) 0.3 (c) -0.9 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g. Let b be m(-3). Let j = b + 6. Let h(p) = p**3 - 3*p**2 + 3*p. Let y be h(j). Solve -4*k - y = -3*k - 3*u, 2*u - 16 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 415, -2\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2569 + 2573. Solve -b*z + 2*p = -22, -17*z - 3*p = -18*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 6*q. Suppose 2*y - 5*i = 10, q = -2*y + 4*i + 3 + 9. Suppose -19 = -z - y. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/(-45))\/((-2)\/(-3)). Let i be (1 - 0)\/((-24)\/22). Let s = i - -5\/12. Which is the closest to s? (a) x (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - 17 + 10333*c**2 - 34*c + 24 - 10335*c**2.\nAnswer: -2*c**2 - 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 42 + -112?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -9 - (25 + -34) - 23\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 2101121 (base 3) to base 4\nAnswer: 123100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*(h*h*h**(-3))\/h)\/h)\/h**(-3))\/(h**(-1\/3))**(3\/11) assuming h is positive.\nAnswer: h**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 116881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2.3191914 rounded to three decimal places?\nAnswer: -2.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 75 divided by -3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3*t**2 + 21*t + 14. Let p(m) = -2*m**2 - 14*m - 9. Suppose 2*d = -5*d - 49. Let k(z) = d*p(z) - 5*l(z). Determine k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of 0 + 0*x + 1\/630*x**7 - 13*x**2 - 1\/180*x**5 + 0*x**4 - 1\/1008*x**8 + 0*x**3 + 1\/360*x**6. Factor q(w).\nAnswer: -w**2*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12 and 1392.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -4*s + 2. Let q(t) = 21*t - 11. Determine 33*a(n) + 6*q(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 129*y + 60*y + 3*y + 20*y + (2*y + 3 - 3)*(3 - 3 + 1).\nAnswer: 214*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15520 and 80?\nAnswer: 15520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -17.290469 to three dps.\nAnswer: -17.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 + 4*a + 7*a - a - 8*a**2 - 8. Let t be b(-9). Is 6 a factor of t*(0 + -1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 AM and 10:48 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -3*h**3 - 406*h**2 + 3664*h + 122. What is j(9)?\nAnswer: -1975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11322436 is divided by 202185?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1213 times -0.05\nAnswer: 60.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -q - 3*q + 36, 0 = 4*q - 4*o. Solve q = -2*h - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23420.\nAnswer: 2, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.202 - -2.212. Round j to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 1885*f - 119314. Determine g(63).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26750?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 3 + (-3 - 2 + 2)*(44 - 21 - 6))*(-19*g + 5*g - 5*g).\nAnswer: 931*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-25 - 13 - 33)*(6*x - 2*x - 3*x) - 3 + 3 - x to l*x + s and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of l**7\/14 - 37*l**6\/6 - 443*l**5\/20 - 319*l**4\/12 - 32*l**3\/3 + 1494*l. Determine m, given that r(m) = 0.\nAnswer: -1, -1\/3, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -189738, -379477, -569216, -758955, -948694, -1138433?\nAnswer: -1328172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/11912180 and 117\/2382436.\nAnswer: 11912180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -4*l**3 - 96*l**2 - 720*l - 1600 = 0.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -21010 + 2?\nAnswer: -21004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -33*d - 16. Let s(q) be the second derivative of 1517*q**3\/6 + 370*q**2 + 145*q. Let n(r) = 185*l(r) + 4*s(r). Let b(g) = -g**2. Give b(n(h)).\nAnswer: -1369*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10110002 - 1020211?\nAnswer: -11200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -n. Let l = -9 + 4. What is the closest to 1 in l, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 628 take away -0.030659359?\nAnswer: 628.030659359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 7 and 181.677?\nAnswer: 174.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 403239.53 rounded to the nearest one thousand?\nAnswer: 403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.1190221719 - 46069.3\nAnswer: -46069.4190221719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h - 11. Let p(d) = -4*d + 56. Let j(m) = 5*p(m) + 24*q(m). Determine j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*d - d + 18. Suppose 2*v + 10 = w, -4*v + 20 = 3*w - 5*v. Let k = d + w. Do k and 8 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 5995*x - 3301. Let k(b) = 1998*b - 1098. Let q(g) = -2*c(g) + 7*k(g). Find the first derivative of q(w) wrt w.\nAnswer: 1996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101010000000111100001001 - -1000?\nAnswer: -101010000000111100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 147.44 - 143.44. Let d = 16 + -11. What is the nearest to -0.7 in l, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (18 - 1720\/95) + (-625)\/(-3230)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, b: 3, t: 3, o: 6, f: 3}. Give prob of picking 1 b and 3 t.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4772, 4, 5, 0.4?\nAnswer: 4772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 874680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*1*((-3 + (sqrt(272)*1 + 3 - sqrt(272)) + 4*(sqrt(272) + -2) + sqrt(272))*3)**2.\nAnswer: -247104 + 11520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-10)\/(3*(-4)\/18). Let w = 36 + -31. Suppose -4*v + w*v = 120. Calculate the highest common divisor of u and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10355 + -307504?\nAnswer: -320061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9087356 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yaydajyyjyyjznyy. Give prob of picking 1 a and 1 d.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -1102100202121 (base 3) to base 15.\nAnswer: -edad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.024265l?\nAnswer: 3024.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g - 7 = -t, 4*t = 6*g - g - 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 3) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 26746.\nAnswer: 213968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 65*o**2 - 30*o - 70. Calculate the remainder when b(-2) is divided by ((-81)\/(-27))\/(3\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12909389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2210 + 21?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20824 and 4658?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**2 - 6*n**2 + 4*n**2)*(-3 - 1 + 25)*(3*n**2 - 3*n**2 - 2*n**2)*(-5*n + 19 - 19).\nAnswer: 420*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**2 + 7*x - 3. Suppose 3*p - 5*r + 17 = 0, -p - 1 = -5*r + 18. Let w(d) = 8*d**3 + 4*d**2 - 5*d + 1. Let k be w(p). Give h(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6547 or -6558?\nAnswer: -6547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -8*x**3 - 2*x**2 - 3*x. Suppose 3*v - 3*s = -9, -2*s + 31 = 2*v + 29. Let k(p) = p**3 + p**2 + p. Give v*a(i) - 3*k(i).\nAnswer: 5*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(14) + sqrt(1134) + (sqrt(1134) - (sqrt(1134) - 1*sqrt(1134))))*-5)\/(((sqrt(22) + sqrt(110)\/sqrt(5))*3)\/sqrt(11)).\nAnswer: -95*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3.2 plus -7920?\nAnswer: -7916.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -a**2\/6 + 643*a\/6 + 5899 = 0.\nAnswer: -51, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((60\/(-100))\/((-27)\/10))\/(66*(-10)\/(-9240))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0.07479705+-11.21\nAnswer: -11.13520295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 - 6*t**2 - 5*t + 14. Let i be m(7). Suppose 3*d - 2*l = i, 0 - 10 = 5*l. Calculate the lowest common multiple of d and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 4*h + 12 = -4, -3*h = -4*x + 17. Suppose -x*a = -11*a + 63. Solve -4*o - 27 = -a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 44\/273 and 121\/36764?\nAnswer: 110292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6 or 5863\/829?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l. Let x be m(3). What is the first derivative of 2 + 0*u - 2*u - x*u + u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 22 - 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121001 + -2?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -185 or 1066?\nAnswer: 1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 776003023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)\/sqrt(2) + sqrt(3) - ((sqrt(27) - (1 + sqrt(27))) + sqrt(27)))**2 - (2*sqrt(27) + -5).\nAnswer: -2*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 156 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.3 + -1.2. Let s = -1 - k. Let v = -11.1 + 10.7. Which is the second smallest value? (a) s (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 2*t - 34, 3*f + 5*t - t = 47. Suppose f - 21 = -2*p. Solve -3*a + 3 + p = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -301 - -296. Suppose -2 = -0*m - 2*m. Put 5, l, m in decreasing order.\nAnswer: 5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 193*t**3 + 11*t**2 - 11*t**2.\nAnswer: 193*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -143*g**3*m**2 - 29474*g**3*m + 13*g**2*m - 339*g - 13*m**2 + 1 wrt g.\nAnswer: -858*m**2 - 176844*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00128684406 to 5 dps.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -2*a - 50. Suppose 5*u - 144 = 4*x + 526, 5*x = a. Let k = -76 + u. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8127)\/46053)\/((-15)\/221)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -23638*f**2 + 3*f + 28682 wrt f.\nAnswer: -47276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26341 - 26341 + 15*v - 9*v + 17*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -832 less than 4?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (15\/3)\/(4 + -3). Suppose -7*b + s*m = -3*b - 1202, 2*b - 5*m = 596. Suppose -5*f + 379 = k, -b = -f - 3*f - k. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, p: 2}. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 56*r**3 + 2*r**2 - 2. Give w(2).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000204581 to seven decimal places.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 3.516359 to two decimal places.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r**2 - 10*r + 43. Let q be j(14). Let o = 317 - q. Calculate the remainder when 307 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - 0 - (74 + -198 + 97)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 21*w**3 - 4*w**2 - 14. Let t(p) = -31*p + 7*p**2 + 28 - 41*p**3 + 31*p. Let y(h) = -7*k(h) - 4*t(h). Differentiate y(z) wrt z.\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*t**4 - t + 2*t**3 + 25 - t + 3*t - t**2 - 21 in the form b*t**2 + f*t**4 + j*t + d*t**3 + l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + 102. Let p = n + -58. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 - (8 + -42 + 23 + 8 - (55 + 1)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -67 - -554. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**2 - 8*o - 9. Let j be s(9). Suppose j = 8*k - 4*k - 48. What are the prime factors of (12 - -3)*k\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -7c (base 14) to base 8.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1756, 7221, 16302, 28999?\n\"Answer: 1808*n**2 + 41*n - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -591.445587 + -944732.\nAnswer: -945323.445587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 2 + 3*c)*(15 - 2 + 11)*(1 - 1 + c**2) to t + h*c**2 + a*c**3 + m*c and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60766195 is divided by 3240.\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -135*l**5 - 2975*l**4 - 15770*l**3 - 23530*l**2 - 10975*l - 375 = 0.\nAnswer: -15, -5, -1, -1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 185 - 183. Suppose -42*m + 142 = -44*m. Put f, 4, m in increasing order.\nAnswer: m, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53 - 26 - 254*p - 27 + 126*p + 121*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 - 75 = 7*x. Let a(q) = -q**3 - 4*q**2 + q + 6. What is a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 + 10*g - 229. Let j be v(11). Which is the biggest value? (a) -3 (b) j (c) -6 (d) 619\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 + 59 = 3*r. What is the nearest to 5\/4 in -0.5, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 198184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 965159 is divided by 96400?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27453, -27415, -27343, -27243, -27121, -26983, -26835, -26683?\nAnswer: -26533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 632 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = r - 18, 5*r - 3249 = -4*p - 3257. Let s(o) be the third derivative of 0 + 1\/48*o**r - 1\/120*o**5 + 0*o + 7*o**2 + 0*o**3. Let s(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 49 - 22*z - 49 + (-43 + 1 + 5)*(-3*z + 2*z + 4*z).\nAnswer: -133*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4\/26 + 1008\/1560 + (-381)\/(-5) is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -3 + 1 - 680*u + 683*u + u**2. Let l be f(-5). Suppose 20 = 6*m - 5*m. Calculate the highest common divisor of l and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence md when two letters picked without replacement from {d: 12, m: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of l**6\/120 - l**5\/15 - 5*l**4\/12 + 4*l**3\/3 + 3*l**2. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -182 - -181. Let h(g) = -g**3 - 5*g**2 - g - 2. Let p be h(-5). Let i = 2 - -3. Sort i, p, d in descending order.\nAnswer: i, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2\/40996007 and 87\/56290?\nAnswer: 409960070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2 - 13464*x - 892980.\nAnswer: (x - 13530)*(x + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -10950 = -9*g - 10995 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y**(-1\/4)*y\/y**(2\/3))\/(y**(-1\/2)\/y*y\/(y**(-4\/7)*y)*y))**31)**(-16) assuming y is positive.\nAnswer: y**(-10540\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 11 + (8 - (1 + 3)). Let z(b) = -2*b + 6*b - d + b**2 + 21. Is z(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from {x: 4, l: 4, b: 1, e: 4, r: 4, m: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lrllkrrrrkkrlrkk. What is prob of sequence klrk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 6*r - 3. Let u be w(2). Let n = -4 + u. Suppose 3*o - 18 = -t - 5, 0 = -4*t + 3*o + 82. Calculate the remainder when t is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 117*o**2 - 182*o - 6002. Determine j(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1551)\/(-141) + 24\/(-3). Solve -5*v + 4 = -o*d, -14 = 5*v - 8*v - 4*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*u + 14. Suppose -12 = -4*c - 2*f, -u*c - 4*f + 4 = -11. Let w(t) = 4*t**3 - 4*t**2 + 0*t**2 + 0*t**3 - 4*t - c*t**3 + 1. Calculate w(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**2 + 18*i - 88. Determine k(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 2*h + 1008 = 0, -h - h = 5*m - 1012. Suppose -3*x = -5*c + m, c - x = -2*c + 122. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 8*t - 22 = 77. Suppose 0 = -4*v + 6*v - 16. Let i = v + -2. What is the smallest common multiple of i and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -100983, -101083, -101183, -101283, -101383, -101483?\nAnswer: -101583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from {r: 6, z: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 50\/875*-14*(-155)\/(-30)*15?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide (2 - -10394) + (-11 + -9 - -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 33 = 32. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -4*m - 9. What is the third derivative of 3*d**2 - 2*d**2 + 5*d**4 + 0*d**m wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*d + 8. Let n(o) = 4*o + 9. What is n(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from mvvrekl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 74*d + 3203 = 1057 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -62 + 66. Suppose 4*x + 3*y - 6840006 = 0, l*x - 3*y + 1206287 - 8046281 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 447117780?\nAnswer: 2, 3, 5, 7451963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**1\/x**(2\/7))\/((x*x*x\/x**(-2\/7)*x)\/x*x\/(x*x**(1\/4))))\/((x*x\/((x**(-2\/3)*x)\/x))**(13\/2)*(x*x\/x**(1\/2))**(-25)) assuming x is positive.\nAnswer: x**(1499\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-31)*j\/((j\/(j\/(j\/((j*j**(6\/11))\/j))))\/j)*(j**(-5\/2))**(-36) assuming j is positive.\nAnswer: j**(666\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*p + 4*d, -p - p + 5*d + 8 = 0. Let n be (65\/(-52))\/((-1)\/36). Let v = n - 29. Solve 5*i - 5*t + 0 = -15, -3*i = p*t + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n**4 + n - n)*(-2*n + 3*n - 3*n) + 3*n**5 - n**5 - 4*n**5 - 3*n**5 + 3*n**5 + 4*n**5.\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4143828422 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 6626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 1 - -2 - (-6 - (2 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -29. Let j be -2 + 1 - n\/(-6). Calculate the highest common divisor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (112 - 38 - 3 + (-3 + 3 + 2)*(2 + 2 - 3))*(30*y**3 - 30*y**3 + 7*y**5).\nAnswer: 511*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 519 and 6185?\nAnswer: 5666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1505433 - -12?\nAnswer: 1505445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (61 - (-13442)\/(-182))*14\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1157640*p**2 + 3391*p**3 - 1157640*p**2.\nAnswer: 3391*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 57720 and 82680.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:41 PM and 12:41 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 103, -41, -5, 2.\nAnswer: -41, -5, 2, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 66097 (base 14) to base 15.\nAnswer: 4d32d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/138 and 36\/253?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -83*h**2 - 1. Calculate y(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6\/35 - -4\/7. Let a(o) = o**2 - 3*o - 7. Let c be a(5). Sort s, -0.5, c, 5 in descending order.\nAnswer: 5, c, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5814 + 0?\nAnswer: 5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 13*q**2 + 29*q - 224. Give n(11).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (612\/119)\/((-35)\/(-49))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 3*w. Suppose -i - 4*v - 22 = 0, 4*i = -w*i - v - 28. Does 9 divide i\/4 + 312\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**3 + 2*n**2 + n - 1. Let d be i(1). Sort 0, d, 4 in decreasing order.\nAnswer: 4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40843 = 11*b - 140096. Let k = b + -9512. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1535646 is divided by 2839?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y**3 + y**2 + 5*y + 7. Let i be h(-4). Suppose 5 = -2*p + i. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7056 is divided by 2946?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 15\/(-105)*7*10\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g - 2*g + 3*g)*(4 - 2*g - 4)*(g**2 + 3*g**2 + 2*g**2).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -3*n**3 + 2*n**2 + 8. Let v = 3672 + -3661. Let q(g) = -15*g**3 + 11*g**2 + 40. What is v*k(y) - 2*q(y)?\nAnswer: -3*y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 164 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of -m**7\/42 - m**6\/12 + m**5\/4 - 154*m**2. Determine w so that b(w) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -542*z - 15 = 5*j - 544*z, 3*j + 3*z = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 35 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 + 32. Let z = j - -21. Suppose z = 2*s + 3*s - 375. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8530.217 years in millennia?\nAnswer: 8.530217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33059069 to the nearest integer?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/135)\/(3\/18)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 25171.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (152\/(-95))\/(96\/80)*((-165)\/490)\/(-11)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2414485\/3 + -804824. Let b*y**4 - 250\/3*y + 0 + 15*y**3 + 1\/3*y**5 - 25\/3*y**2 = 0. Calculate y.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -966*p + 328*p + 326*p - 19 - 2*p**2 + p**2 + 324*p. Give d(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12.74 + -13. Let x = -2.99 + v. Let z = 4 + x. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/19253598 and 133\/1430?\nAnswer: 1058947890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/8? (a) 1\/8 (b) -1 (c) 43 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 15 (b) -1 (c) 12 (d) 1168 (e) 0.2 (f) -5 (g) 1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 26586044461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81*o - 52 = 68*o. Suppose -5*m - 6*h + 203 = -2*h, 2*h = -o*m + 160. Let w(p) = p**2 - 5*p - 2. What is the remainder when m is divided by w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 13.9 and 0.1.\nAnswer: 1.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 - 353 = -8*y. What is the greatest common divisor of 125 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**(-2))\/(j**(1\/4)\/j)*j**(-6)*j**4)**(-35) assuming j is positive.\nAnswer: j**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 31794 times -5\nAnswer: -158970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from esaad. What is prob of picking 1 d and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be 42\/8 + (-1)\/(-16)*-4. Suppose 4*o - 2*y = 2, -2*o = -y + z*y - 16. Let u be -1899 - 1\/2*o. Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + -2103230011?\nAnswer: -2103230013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, 0.2, -2\/7, -189, 2\/11 in ascending order.\nAnswer: -189, -1\/2, -2\/7, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 561 + -932. Let j = d + 595. Suppose -3*w = 0, 4*l - j = -0*w - w. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/472824 and 45\/204572.\nAnswer: 121515768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*n - 713 + 637 = 1004 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/88 and 17\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 1867 = -305. Let t be u\/(-54) + 2\/9. What is the units digit of (-1)\/(((-2)\/t)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 9}. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58481083 - -397.\nAnswer: -58480686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uilrluid. What is prob of picking 2 l and 1 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 97*o - 2320. Let y be p(-43). Which is the closest to -0.3? (a) 1\/4 (b) -0.3 (c) y (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -90*g + 1613. Give y(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -22171*h**2 - 8*h - 374. Let n(s) = 7390*s**2 + 3*s + 140. Calculate -3*i(l) - 8*n(l).\nAnswer: 7393*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1786 + 1788. Which is the closest to -0.06? (a) -4\/7 (b) h (c) -3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10504430.\nAnswer: 2, 5, 619, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 779.79971886 - 779.8. What is n rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14139806 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 156*a*j*p*r - 16*a*p*r - 131*a*p - a*r + 88169*j*p*r + 3749*p with respect to j.\nAnswer: 156*a*p*r + 88169*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -19*b - 28*b**2 + 90*b + 13*b**2 - 2*b**4 + 12*b**2 as d*b**2 + o*b**4 + q*b**3 + c + a*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1489600062 to the power of 1\/2, to the nearest integer?\nAnswer: 38595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 493168535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 36584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/25*20\/(-16). Let j(k) = 3*k**2 - k. Let d be j(1). Suppose 0 = -0*p - 4*p + d*s - 38, 5*s = -p + 7. What is the smallest value in p, v, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -16.913 - 0.187. Let k = -0.2 - c. Let a = -24 + k. Round a to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - n + 27 - 16, 4*r - 3*n - 5 = 0. Suppose -3*g + 4524 = 3*w, -2*w = -r*g + w + 3006. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1402 + 1.0418. Let i = -1.1229 + t. What is i rounded to three decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -36*s**3 - 21*s - 11. Let p = -874 + 885. Let g(c) = -7*c**3 - 4*c - 2. Give p*g(n) - 2*k(n).\nAnswer: -5*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 483*t = 468*t + 436500. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 422223330 (base 5) to base 4\nAnswer: 12231030031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 96 and 203680.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - 5. Let c = 3.95 + m. What is c rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 19 + -22 - -6*1\/(-2). Let c(y) = -120*y - 97. What are the prime factors of c(l)?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.66526 or -8753?\nAnswer: -8753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 243426 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*1*sqrt(19)*6 - (sqrt(304)*2 - sqrt(304)*2))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 4 = -2*p, 2*a = -5*p - 3*a + 10. Let f be p\/12*8\/22. What is the third biggest value in -0.3, f, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 182562.\nAnswer: 2, 3, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - 2 - (-90)\/(-25).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3888 and 891?\nAnswer: 42768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 123313303 + 302?\nAnswer: 123320211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/18*118\/(-40) and 53\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 + 2. Let w(a) = 2*a**2 + 5. Let x(b) = -7*u(b) + 4*w(b). Let g = 6 + -3. Let s = 3 - g. Calculate x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-2\/7)\/l)\/l)**(-1\/33)\/((l**(-1\/6)\/l)\/l)**(2\/147) assuming l is positive.\nAnswer: l**(479\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -175, -4, -6, 0, 5 in descending order.\nAnswer: 5, 0, -4, -6, -9, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -4186 and -4188 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6437921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/77 in -0.3, 4, -1\/2, 1\/2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + 38. Suppose 0 = 101*s - 96*s - g. Solve -2*r = -5*r + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -2*i**3 - 124*i**2 - 65*i + 3497. Give c(-61).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*v + 342398 - 4580966 = 0. Is 324 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.4, 1, 4, -966, -1 in decreasing order.\nAnswer: 4, 1, -1, -2.4, -966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w - 1. Let c(f) = -5*f - 6. Let t(h) = c(h) - 6*k(h). Let r = 8 + -8. Let b(j) = r*j - 11*j**2 - 2*j + 2*j. Give b(t(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + -14. Let t = f + 20. Solve -r - t*n + 10 = -7, -n - 7 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - t = -9*h - 13, 2*h - 5*t = -29 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of m**5\/60 + m**3\/6 - 26*m**2. Let x(w) = 7*w**2 - 14*w + 14. Let p(z) = -4*k(z) + x(z). Is p(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -6, -90, -318, -762, -1494, -2586, -4110, -6138?\n\"Answer: -12*h**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -1, -5, -3, 5, -64, 10 in decreasing order.\nAnswer: 10, 5, -1, -3, -5, -6, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (0\/(-2))\/((-5)\/(-5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2291182515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 2, 3\/32, -14\/11, -18, -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 58\/29*((-22)\/(-3652))\/(((-25)\/5)\/10).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124*h = 191*h - 97140 - 114225. What is the remainder when h is divided by 138?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11010 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: Is 138 a factor of 1099584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 12:01 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 12*j**2 - 562*j**3 + 563*j**3 - 4*j - 4*j - 1 as k*j**3 + b*j**2 + o + r*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*c - 32*c + 8*c**5 + 25*c**5 wrt c.\nAnswer: 660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/810 and -79\/1458.\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 352395 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 693\/520 + 1\/1560. Which is the fourth biggest value? (a) 1\/3 (b) -2\/7 (c) -3\/7 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1330767 or -1330768?\nAnswer: -1330768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 227, 241, 263, 293, 331?\n\"Answer: 4*m**2 + 2*m + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-6)*2\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*p**4 - p**4 + 0*p**4 - 3*p**4 + 0*p**4 + 0*p**4 + (-1 - p + 1)*(2*p**3 - p**3 + p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of g**3\/3 - 3*g**2 + 3*g + 4. Let n = 13 - 9. Determine q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -27282, -54565, -81848?\n\"Answer: -27283*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + ((-7)\/(-9) - 0). Let j = 4.24 - 4. Let r = j - 0.04. Which is the third smallest value? (a) x (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1647693 and 9558.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d - 2*d + 2*d + (-1 - 7 - 3)*(-d - 2*d + 4*d) + (-4 + 2 + 3)*(6*d + 17*d + d) + (-3 + 3 + d)*(0 - 1 + 3) - d - 2*d - 2*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-756 + 756 - 192*v)*(-1 + 2*v**3 + 1 + (-8 - 2*v + 8)*(3*v**2 + 2*v**2 - 6*v**2)) in the form d + r*v**2 + s*v**3 + j*v**4 + q*v and give j.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*v - 35*v - 35*v + 91*v - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 2 - (-128)\/(-320)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -65*a**2. Let j be 9 + 9 + 0 + 0. Let f(o) = 2*o + 2. Let d(t) = 17*t + 18. Let c(b) = j*f(b) - 2*d(b). Give c(h(q)).\nAnswer: -130*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 15.24569mg?\nAnswer: 0.01524569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 377.5 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 + 21221011?\nAnswer: 21221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1272266317 to the nearest integer?\nAnswer: 35669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the third derivative of 1\/540*a**6 + 0*a + 0*a**5 - 1\/315*a**7 + 6*a**2 + 0 + 0*a**3 + 0*a**4 + 1\/756*a**8. Factor u(q).\nAnswer: 2*q**3*(q - 1)*(2*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4532 + 5?\nAnswer: -4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**2 + 6. Let j be h(0). Suppose -3*w + 2*w + j = 0. Is (3\/(-1))\/(w\/(-28)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*a, 2*a = -2*x + 3*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 90236124 to the power of 1\/2, to the nearest integer?\nAnswer: 9499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-17*p**2 - 28*p**2 + 2*p**2)*(-p - 5 - p + 4) in the form u*p + b*p**3 + w + j*p**2 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 451693 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 u when three letters picked without replacement from kuuuk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*a + 1. Let h be (1\/2)\/(a\/(-22)). Let q(t) = -6*t + 19. What is the tens digit of q(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -6*c + 9*c - 4, 3*c + 6 = 6*s. Solve s*u + 6 = -d + 1, 0 = -2*u + d - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*a + 72*a = 17*a - 3745 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 30817159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*m - 496 + 3176 = 0. Suppose -m + 244 = -4*c. What is the lowest common multiple of c and 410?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (489\/1)\/(12\/8). Let m be ((-258)\/(-9))\/(6\/(-45)). Let h = q + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 16 = -j. Suppose 2*g = -2*f + 6, -g = 2*f - 3*g + 6. Solve -j = 2*n - f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + (-7 - -2 - -1) + -169 + 151.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -2*u + 4, 11 = -2*v + 4*u + 3. Sort 4, 7, 6, -3, v in ascending order.\nAnswer: -3, v, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2408179997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of -643*z**6\/3 - 3*z**2\/2 + 312*z - 841. What is the second derivative of v(s) wrt s?\nAnswer: -25720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2404469464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*i**4 - 23419*i**2 - 350*i - 19?\nAnswer: -24*i**2 - 46838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2a5e9e + 20?\nAnswer: 2a5ebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32128, -63369, -94610, -125851, -157092?\nAnswer: -188333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*l - 48 + 22*l**4 + 5*l + 9*l**4 + 47 - 3*l + l**2 to the form j*l**4 + k*l**2 + g + s*l + o*l**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of 103*w**5\/60 + w**2 - 472*w. Let i(d) = -d - 7. What is i(l(s))?\nAnswer: -103*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4400*t + 941*t + 8935 = 1515*t - 10195 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 8*l**2 + 6*l - 6. Suppose 8*m + 10 = -q + 5*m, 3*q + 18 = 3*m. Let x be d(q). Let k be x*(2 + (-29)\/2). Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -31834, -31842, -31864, -31906, -31974?\n\"Answer: -y**3 - y**2 + 2*y - 31834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -q**2*r**3 + 3*q**2*r - 18*q*r**3 - 1603*r**3 - 2*r + 1 wrt q?\nAnswer: -2*q*r**3 + 6*q*r - 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 103.64364 seconds to minutes.\nAnswer: 1.727394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 746517 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/4 + (-2)\/4. Suppose -5*v - 3*r + r = -147, -2*v + 4*r + 78 = 0. Let o = -27 + v. Solve g = -o*w + 4 + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -530 * 1691.\nAnswer: -896230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + l = -4. Suppose 5*d - l*h + 1 = 2, 5*d - 3*h + 1 = 0. Solve -4*r - p = d, r - 6*r = p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 32016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-239 - 263 + 502 + 31430*w - 138115*w)*(0*w**2 - 3*w**2 + w**2)*(-2 - 3 + 6) as x + i*w**3 + l*w**2 + z*w and give i.\nAnswer: 213370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -42. Solve -14 = -5*i - k, b = -0*i + 2*i + 5*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 5*a - 16. Let f(z) = -2*z + 6. Let p(w) = -3*c(w) - 8*f(w). Let s be 2*(-2 + 21\/6). Suppose -2*i + 0*m = -s*m + 18, 3*i + 14 = -2*m. Give p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -31144 - 1?\nAnswer: -31200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 568 a factor of 5144492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 686645 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: 65 - 1556815951197\nAnswer: -1556815951132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b617 - -3a3?\nAnswer: b9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1.54 minus 2?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 909 - 907.319. Let z = m - 2.402. Let k = 0.009 - z. What is k rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 99*b**2 - 34*b**3 + 31*b**2 + 55*b**2 + 29*b**3 = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -195, -1, 184 in descending order.\nAnswer: 184, 4, -1, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 555*f**3 - 22*f**2 - 3*f**2 + 755*f**3 - 1054*f**3 + 2*f**2 wrt f?\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -143908*c**2 + 71841*c**2 + 72070*c**2 + 8*c**3.\nAnswer: 8*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 141*j*l*s**2 - 20*j*s - 3*l*s**2 - l*s + 26*l + 159*s**2 - 15 wrt s.\nAnswer: 282*j*l - 6*l + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 978768\/967 greater than 1011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 3*t**3 + 52*t**2 + 48*t + 447. Calculate f(-17).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(14)\/sqrt(2) + (sqrt(42)\/(sqrt(54)\/sqrt(9)))**2.\nAnswer: sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of w**6\/6 + 7*w**5 + 225*w**4\/2 + 810*w**3 + 3645*w**2\/2 - 4439*w. Find u, given that n(u) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1408\/(-132)*(-15)\/4. Differentiate 17 - 70*o + j - 32*o with respect to o.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - 5*56\/70?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 + -19442.\nAnswer: -19441.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -387000 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 61307249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4808 + -4931 - (-229 - -1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g - 215 - 165 = 0. Let l = 43 - g. Suppose -2*k = -5*v + 10, -2*v = 2*v - l*k - 8. Solve 0 = v*c + 10 - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(1700) + sqrt(1836)\/sqrt(3).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 105462 + -13?\nAnswer: 105446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -20302.5884 to the nearest integer.\nAnswer: -20303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f\/((f**(-2)*f)\/f)))**(-1\/40)\/((f\/f**(-5))\/(f**(-12)*f)) assuming f is positive.\nAnswer: f**(-339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 65159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183788?\nAnswer: 2, 11, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 101953440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 11509 divide 1473566324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 77, 1, -2, -18 in decreasing order.\nAnswer: 77, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2134503*p - 1067251*p - 1067250*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 22891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 - 2*v**2 + 3*v - 2. Let m be d(2). Suppose -p + u + 9 = -15, -p + m = 4*u. Is 28 a factor of -1*p\/(-15)*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k - 1. Let x(n) = 30*n - 4. Let h(y) = 4*f(y) - x(y). Let s(d) = -103 + 213 - 110 + 3876*d**2 - 3878*d**2. What is s(h(q))?\nAnswer: -2312*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q - 61 = 7*v - 6*v - 3*q - 8*q, q = 3*v + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 - 9 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -3*v**3 + 8*v**2 - 2*v + 2. Let k(l) = 1 + l**2 - 8*l**2 - l**3 - l + 10*l**2. Calculate 3*j(s) - 8*k(s).\nAnswer: -s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 19032 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27945?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand y + y + 0*y + 3*y + 0*y + y + (4 + 4 - 5)*(-35 + 19 + 13)*(-7*y + 3*y + 3*y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -354545, -2836467, -9573119, -22691867, -44320077, -76585115, -121614347?\nAnswer: -181535139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2 + 142*j - 2079. Determine p(17).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v + 241. Is t(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rqq when three letters picked without replacement from {r: 2, q: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1026431445 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34863 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 333.5108 millennia?\nAnswer: 33351.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -127 = -5*o - 2. What is the remainder when (4275\/(-300))\/(1\/(-4)) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -243*j**2 - 755136*j - 586656768.\nAnswer: -3*(9*j + 13984)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 2*z**2 - 26*z - 135. Give d(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 158681 + 243760 = 28301*f - 78676 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1460000*j**3 + 124*j + 23586 wrt j.\nAnswer: -8760000*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2475 - 3842 = 457*j + 81 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -123338045*t**4 + 263271718*t wrt t.\nAnswer: -1480056540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-40)\/30*(-6)\/(-4). Is 4 a factor of (1\/(-2))\/(i\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1395963293.\nAnswer: 1395963293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 4\/1)*77\/(67914\/54)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 + 1. Suppose 0 = -22*q + 27*q + 90. Let s(f) = 12*f**2 - 18. What is q*u(o) - s(o)?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -10857 (base 12) to base 15.\nAnswer: -678a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/9*(-51)\/(-2). Calculate the common denominator of (m\/(-32) - 1) + -1 and (48\/32*2*11)\/(8\/(-1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3247?\nAnswer: 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3*t + 6. Let h(f) = -6*f - 11. Give 4*h(d) + 7*l(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1185027 is divided by 190?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be (13 - (0 + 0))*1. Let m = -13 + y. Suppose m*z + 48 = 4*z. Calculate the least common multiple of 6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 19*y**3 - 182*y**2 - 61*y + 109. What is t(10)?\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x + 2*x - 3*x)*(-2 - 3 + 4) + (-34 + 17 - 56)*(-4*x - 2*x + 0*x).\nAnswer: 436*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s + 7. Let j be u(-2). Suppose -3*g + 4*m + 77 = 0, 2*g - 2*m - j = 45. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 553 + -551. Solve 5*q = 4*h - 9, q + m = 4*q + 5*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -162.46 and 0.3?\nAnswer: 162.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3914*t**3 - t**2 - 6*t + 3. Is r(2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1243\/6, -2, -4.9 in increasing order.\nAnswer: -4.9, -2, 4, 1243\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000242324 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -169.3 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y - 13. Let u be c(9). Let r be (1\/1)\/(11\/33). Put r, -2\/3, u in decreasing order.\nAnswer: r, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 497022328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 36\/4320589 and 89\/69129424.\nAnswer: 69129424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 438 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -3362 - 3*b**3 + b + 3*b**2 - 13*b**4 + 3362 in the form w + j*b**2 + h*b**3 + g*b + f*b**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaahahmhhhxhhhhhhmmh. What is prob of picking 2 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-4))\/((-6)\/48). Let h(d) = -d**3 + 7*d**2 - d + 2. Let r be h(7). Let c = r - n. Are c and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fcb when three letters picked without replacement from bgcxfvb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times -33\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*m + 7833203443544 - 7833203443544.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) 39 (c) 151 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*b + b + 2*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2*i**2 + 3*i**2 + 0 + 2 + 6*i. Let b be l(-7). Suppose -v - 1 = -4*n + 16, -v - b = -2*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -9549817.061 and 0.12.\nAnswer: -9549816.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3114 - 3099. What is the highest common factor of 17580 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 57 - 18*f + 10*f + 9*f. Let s(r) = -r. What is z(s(q))?\nAnswer: -q + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 546 + (2 - (19 - 7)).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 58779 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1472551 at least as big as 1472563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 4400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -128*s - 136*s + 213*s + (-4 + 1 - 10 - 15)*(s + 3 - 3) + (3*s - s + 2*s)*(1 + 1 + 0) - s - 3*s + 2*s as t + i*s and give i.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 13*v - 12*v - l, 2*v + 2*l = -8. Let h be (2 - v)*112\/28. Calculate the greatest common factor of 23 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 48\/40*24\/9 + (-12)\/4. What is the second smallest value in -3\/11, -4\/7, -3, 2\/5, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*x**4 + 3*x**2 - 12*x - 6?\nAnswer: -120*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from efefeefeefe. Give prob of sequence fee.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/20*(-40)\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of -z + 1\/12*z**4 - 1\/6*z**3 + 0 - 1\/2*z**2. Is x(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of 0*z**3 + 14*z + 1\/3*z**4 + 2\/5*z**6 + 0 + 0*z**5 + 0*z**2. What is the third derivative of a(k) wrt k?\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 8571.8 and 0.4.\nAnswer: 3428.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 4*o**2 - 65*o - 252. What is p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 12\/5 + 0*w - 3\/5*w**2.\nAnswer: -3*(w - 2)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**2. Let n(c) be the third derivative of -3*c**4\/2 - 20*c**2. What is x(n(r))?\nAnswer: -1296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-18)\/(-2) - 13)\/(4\/(-34)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, 0, 74\/5, 3 in decreasing order.\nAnswer: 74\/5, 3, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.3 (b) -3 (c) -2486 (d) 0.05 (e) 0.5 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + 80 = -2*k. Suppose -19*z - 414 = -27*z - 15*z. What is the least common multiple of z and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 8 = 4*r. Suppose -r*p - 12 = -72. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69 = 6*x - 63. Let u(z) = 10*z. Calculate the least common multiple of u(2) and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-6))\/(4\/(-24))*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the second derivative of -m**3\/3 + m**2\/2 - 3*m. What is the units digit of o(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -1.88 (c) -14\/891\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*g - 2. Solve -g*f + 0*f - 5*l - 15 = 0, -3*l = -5*f - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2826)\/(-36))\/(2\/4*1). Suppose 3*x + 5*f - 459 = 0, 5*x + 152 = 4*f + 954. Which is greater: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -474395 + 474397. Let 0 + 1\/7*b**3 + 10\/7*b**s + 24\/7*b = 0. What is b?\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.134587 * 55.\nAnswer: 7.402285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 23*x - 318. What is i(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-13 - -11)*(459\/(-66))\/(-3). Which is smaller: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8961911767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 213748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -109 - -64. Let k = -26 - l. Let x = k - 13. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.2, 0, 7, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 5*n**2 + 3*n - 1. Let z(r) = -15*r**2 - 8*r + 3. Calculate -11*y(f) - 4*z(f).\nAnswer: 5*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10? (a) -4 (b) -3 (c) 3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4683284220 to the power of 1\/2, to the nearest integer?\nAnswer: 68435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h + 1. Let u be q(-4). Let a(d) = 2*d**2 - 7*d. Let v be a(5). Suppose -n - 2*n + v = 0. Put n, 4, u in decreasing order.\nAnswer: n, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-341*o**2 + 226273*o - 226273*o)*(o**3 - 4*o**3 + o**3).\nAnswer: 682*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 486502243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 10:18 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, f: 1, s: 4, v: 2, j: 3}. Give prob of picking 1 v and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -131 + 70. Let f = z - -66. What is the nearest to 10 in 0, -1\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46 divided by -7962787.\nAnswer: 46\/7962787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 74489057 to the nearest integer?\nAnswer: 8631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tpttttttitttpi. Give prob of sequence it.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 4*k**3 + 6*k + 3 - 8*k**2 + 2*k - 3*k**3. What is the tens digit of c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 126 + -121. Which is the closest to -0.2? (a) 14\/11 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6705 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) 50 (c) -0.0064 (d) 0.001 (e) 0.5 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 19*h + 32. List the prime factors of j(8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -32\/5271975 and -56\/1325.\nAnswer: 279414675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 PM and 1:48 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/(-38)*2\/4. Let i = -3682\/5 + 737. Which is the third biggest value? (a) 5 (b) i (c) 9 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (-2 - (3 + 2) - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/5 (b) -7\/3 (c) 1\/2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1088480 is divided by 445?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 82696237.\nAnswer: 496177422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, 26, 3, 1, 45, -71 in ascending order.\nAnswer: -71, 1, 3, 10, 26, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 8:17 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 478, 476, 474?\n\"Answer: -2*d + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -g, -2*q = 6*g - 4*g - 20. Let r(v) = 13 - 3*v - 5 + 3*v**2 - q - 2*v**2. Calculate r(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3295688 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 33837 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.8 - 0.8. Let q(f) = 15*f - 5. Let g be q(-9). Let x = g + 698\/5. Which is the closest to 1\/3? (a) -0.2 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 864\/(-135) + 6 + 1 - 6\/2?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -423 + 287 - (-290 - -39).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -123545 or -122764?\nAnswer: -123545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 4 + 5 + -3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 89658 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -85*u**3 + 748*u - 6*u**3 + 843*u + 745*u - 2337*u.\nAnswer: -91*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*g + 22 = -80*g + 5*t, 4*g - 6*t = -28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 - 8*o**2 + 12*o + 1. Let q(n) = 2*n**3 + 8*n**2 - 12*n. Let w(m) = 3*p(m) + 2*q(m). Let s be w(6). Solve u = r + s, 3*r + 13 + 0 = -u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2897 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 10 = 3*w. List the prime factors of w\/(-6) - 105\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6878*t - 8793*t**2 + 6878*t - 1.\nAnswer: -8793*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2759 - 2755. Let k = -2 - -5. Calculate the greatest common divisor of k and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5012.9211 less than -10777797?\nAnswer: -10782809.9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - (10 - (2 + -11 + 4))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*h + 4283 = -3057. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l + l - 12 - 2*l + 4*l. Let a be g(10). Let i = 22 + -14. What is the greatest common divisor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 131*v + 2492 = -130*v, 2*i + 3*v - 1015 = 0. Calculate the highest common factor of i and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/h**(-2))\/h)\/h)**(9\/4)*(h\/(h\/(h**(1\/2)*h)))\/h*h**0\/h assuming h is positive.\nAnswer: h**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 + 5*x**2 + x + 5. Suppose -12 = 2*g + g. What is the remainder when i(g) is divided by -5*(-72)\/30 - 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -229977 divided by 4.\nAnswer: -229977\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-27 + 0 - -4) + (-5891 - -5895).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 630 (base 8) to base 14\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 150 - 140. Let g be (-55)\/y*-2 + -4. Solve -2*v - 2 = -v - 4*w, -4*v + g = -w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 328925 is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -9. Solve -5*u = -u, -t = m - 3*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q. Let p(b) = -b + 1519*b**2 - 1553*b**2 - 2*b. Calculate p(l(n)).\nAnswer: -34*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3871 and 11453.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1661421127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 16 = -17. Let z = 5 - d. Find the first derivative of -12*r**2 - z - 72*r + 72*r wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = 8*c + 7032. Let p = c + 1250. What are the prime factors of p?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2352798940 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002484 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2\/7, -34036, -0.15, -0.2 in increasing order.\nAnswer: -34036, -2\/7, -0.2, -0.15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of -1\/24*g**4 + 1\/6*g**3 + 0 + 0*g - 9*g**2. Give l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -29 + 2*d + 16 - 8*d + 14. Give n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 966517 and 2959?\nAnswer: 10631687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the second derivative of -5*n**3\/6 - 13*n**2\/2 - 10*n. Let b be v(-3). Solve j - b*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 4*j**3 + 22*j**2 - 33*j + 25. List the prime factors of a(13).\nAnswer: 2, 3, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the third derivative of p**5\/210 + p**4\/84 + 8*p**2. Find g, given that o(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 272698681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0079318342 to 6 dps.\nAnswer: -0.007932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 58300 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 248.16 - 217.9. Let l = q + -30. Let y = l - 0.237. Round y to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2*a**2 - 5*a**2 + 0*a**2. Let p(o) be the second derivative of 0 + 1\/6*o**3 + 2*o + 0*o**2. Calculate p(n(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -30, -55, -80, -105, -130, -155?\n\"Answer: -25*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*b + 11*b - 99 = 8*b. Let v be (12\/1695)\/((-474)\/(-1300)). Let u = -2\/339 - v. What is the third biggest value in u, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(65)*-2*-4 - (5*(sqrt(65) + (sqrt(65) - (-1*sqrt(65) - sqrt(65) - sqrt(65)))) - sqrt(65)))\/(-2*sqrt(405)*4 + -3*sqrt(405)*-1))**2.\nAnswer: 3328\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 420 and 9?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bffz when four letters picked without replacement from bpzbbttfbf?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.4, 0.23, -11, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 93*o**2 - 4*o + 4. Suppose x - 17 = -4*w, 0*x + 2*x - 4 = 2*w. Suppose 4*q + 3*l + 8 = 0, 5*q - w*l - 13 = -l. What is the tens digit of j(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 334*z - 1468?\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 24 = -5*f, -4*y + 0*f = -f - 39. What is the remainder when 107 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2535.4 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a - 2*a + 0*a + 3)*(4*a + 2*a - 2*a).\nAnswer: 4*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + -18 + (0 - -3) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be -33 + 28 + 20\/3 - (-2)\/6. Solve 19*p - 16*p = 2*t + 4, -3*t = s*p - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -1*sqrt(1250) + 4 + 1*3*(2 + sqrt(1250)))**2.\nAnswer: 800*sqrt(2) + 5064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 163, 323, 483, 643, 803?\n\"Answer: 160*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 - 5*p**2 + 7*p + 8. Let h be s(-6). Let n be 13 - (2 - -1)\/3. Solve h*o + n = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 - 6*p**2 + 5*p - 17. Suppose 0 = -25*n + 22*n - 21. Let y be v(n). Let c be y\/2*4\/(-2). Solve c = u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -40046088819839068.00000063 - -40046087644499728. Let i = w - -1175339284. Let u = i - -56. Round u to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.2 - -0.7. Let d be 2*((-503)\/(-6))\/(-1). Let o = 168 + d. Which is the second smallest value? (a) o (b) u (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7223636 by -7223636.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23532941?\nAnswer: 1051, 22391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37783 is divided by 164.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -3. Suppose -3*y = 4*k - 21, -2*k = y - 4*y + f. Suppose 0 = k*i + 2*i - 900000. What is i rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d**2 + 4. Let j be o(5). Suppose -4*v - 34 = -j. Solve -4*c - v*x + 3 = -c, c - 1 = -4*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 - 3*k**2 - 57 - 2*k + 0*k**2.\nAnswer: -3*k**2 - 2*k - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -220, -866, -1946, -3460, -5408?\nAnswer: -7790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 735 - 703. Let v be 4*((-4920)\/b)\/(-15). Is v > 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - p + 4*p - 1714 = 0, -4285 = -5*a + 4*p. Let j = a - 451. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 0.04 (b) -4 (c) 9\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1436 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16543893, 66175564, 148895015, 264702246, 413597257, 595580048, 810650619?\nAnswer: 1058808970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -259 + 141. Let t = -118.2 - b. Are t and 45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 6) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u**4\/3 - u**3\/6 - 5*u**2\/6 - u\/3 = 0. What is u?\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p - 1. Suppose 0*o = -f + o + 15, -79 = -5*f + 4*o. Suppose -9 = -3*x - 0*h - 3*h, -5*x + f = h. Give t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 850.707 and 1.534604.\nAnswer: 852.241604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1394*k**4 - 3*k - 78*k + 2*k**2 - 1377*k**4 wrt k?\nAnswer: 204*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 + 5*g**2 - 8*g - 2. Let h be q(-6). Suppose h = 3*a + 2*z, 0 = 2*a + a + z - 14. What is the greatest common divisor of 48 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t - 95 - 73 - 248 = 0. What is the smallest common multiple of 160 and t?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28103369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 59855771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2349, 2\/3, -1\/3, 43, -0.3 in increasing order.\nAnswer: -2349, -1\/3, -0.3, 2\/3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(-12)*(-6)\/4. Let b(a) = -46*a**3 - a - 1. Is b(y) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**2 + 0*i**2 - i**2. Let n(u) be the third derivative of -u**5\/15 + 4*u**2. Determine n(m(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99*j + 4*q + 1368 = -104*j, 3*j + 808 = 4*q. Is j < 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 + 27*u + 25. Let o be r(28). Sort o, -2, -15 in decreasing order.\nAnswer: -2, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 262843709431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4204 = 5*o - 5*w + 4439, -2*o - w = -32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 5*r**3 + 2*r**2 - 120*r - 122. Calculate z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 1, 5 in decreasing order.\nAnswer: 14, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 111322001312 (base 4) to base 12.\nAnswer: 1b0b3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/7 + ((-25)\/(-35))\/(-5). Which is the nearest to 0.01? (a) l (b) -1\/3 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -16*b**3 - b**2 - 2*b - 2. Let f be k(-1). What is the common denominator of 5\/6*f\/4 and -79\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162871?\nAnswer: 271, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 5*t**2. Let h(m) be the third derivative of -m**4\/24 - m**3 - 122*m**2. Let x(n) = 30*n - 18. Let c(u) = 3*h(u) - x(u). What is a(c(j))?\nAnswer: 5445*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.1 + -3.9. Let w = 273.11 + -273.11. Which is the nearest to w? (a) j (b) 15\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w + 2*m - 576, 3*m = w - 0*m - 105. Let p be 6\/9 + (-112)\/w. Let x = p + 94\/57. Sort 0.5, -1\/3, x in ascending order.\nAnswer: -1\/3, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 29 = 2*j, 4*j = 2*t + 1 - 19. Suppose -2*b = s, -3*b = b + t*s - 6. Is -1\/14 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/768 and 77\/3552.\nAnswer: 28416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -5*l + 42, 0*l + 2*l - 6 = -2*w. Let k be (-3)\/l*2*1. Let n = -1536\/8327 + 2\/757. Which is the nearest to k? (a) -4 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*m - 46*m + f - 99 = 0, -5*f - 25 = m. Let h(k) = -k**3 - 12*k**2 + 3*k + 18. Let c be h(-12). Does c = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 388 divided by -50?\nAnswer: -194\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/2)*a*a**(1\/2)*a*a**(-4)\/a**(2\/7))\/((a**(-1\/2))**(-20)*(a*a\/(a**(-1)*a)*a)**(-29)) assuming a is positive.\nAnswer: a**(530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (-4 - (-3 - -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -218*c + 652 = 108*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**2 - 1752*l + 3488 = 0. What is l?\nAnswer: 2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*h + 4*h - 4*h)*(5*h**2 - 3*h**2 - 3*h**2) + h**3 + 0*h**3 + 5*h**3 to the form l*h**3 + w + n*h + d*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -709 + 94252\/133. Let z = -1\/19 - b. Put 3, 0.1, z in descending order.\nAnswer: 3, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h**3 + h**2 - 4*h + 3. Let f be 1 + -2 - (-3 + 0). Let n be d(f). Suppose i - 9 = n. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 467885459?\nAnswer: 467885459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4310178 to the nearest integer?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, c: 3, u: 13}. What is prob of picking 1 c and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0374 - -0.0788. Let b = k + -49.2414. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of 1\/60*a**5 - 2*a**2 + 0*a + 0*a**4 + 0*a**3 + 0. Let i(z) = -4*z + 3*z - 2*z. Determine i(d(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, y: 1, e: 9}. Give prob of picking 1 u, 1 e, and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 + 1 + (-102)\/(-3). Find the common denominator of -15 and ((-6)\/16)\/(u\/400).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 253*l**2 - 144*l - 8. What is the ten thousands digit of b(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g**3 + 2*g**3 + 0*g**3)*((4 + 0 - 3)*(2 - 2 - 2) + 5 - 1 - 3).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11.17 - -10.67. What is the closest to 2 in m, -0.29, 6?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yff when three letters picked without replacement from yffyffffyfffff.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3063\/14 - -218. Let v = 58\/7 + n. Let q = 1278 - 12753\/10. Find the common denominator of q and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 313 + -310. Suppose -20 = -s - 3*s. Solve m*y + 8 = s*i, 4*y - 2*i - 3 = 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 561309668?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(285\/6))\/((-532)\/35 + 15)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80 + 74 + -6 + 2 + 1 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -144528*o**2 + 531771*o.\nAnswer: -289056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (20 - 23) + 8 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -16*y**2. Let p(x) = -36*x - 7. Suppose -6*r = -28 - 14. Let c(t) = -11*t - 2. Let n(f) = r*c(f) - 2*p(f). Give z(n(g)).\nAnswer: -400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 4*n + 6. Let l be s(-7). Let m be 0 - -2 - (-200)\/l. Let g = m + 565\/44. Calculate the common denominator of g and 101\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -r**4\/6 + 356*r**3\/3 - 35875*r**2\/3 + 70684*r\/3 - 23443\/2 = 0.\nAnswer: 1, 119, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -1\/8, 0.5, -1\/7, -0.032?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 - 10. Suppose -2*m = -4*b + 1 + 11, o = 5*b - 15. Solve 4*g - 5*g + 5 = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -46 + 44. Let x(u) = u**3 - 2*u**2 - 4*u - 3. Let w be x(i). Is w != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 611223352.\nAnswer: 2, 76402919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {z: 1, s: 3, a: 1, r: 5, t: 1, j: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -10 by -29.\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 94.75 + -94. Let a = 0.25 + y. What is the third biggest value in 0.2, a, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 9:05 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -133a3 - -5?\nAnswer: -13399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(112\/(-3)))\/((-333)\/148).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -91*r + 175*r - 1354*r**3 - 877*r**3 - 84*r.\nAnswer: -2231*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11 + -1. Let h = p - 0. Is 10 a factor of 8\/h - (-122)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2889 - 2889. Solve 3*j = -j - x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 332, -5, 1, 5 in decreasing order.\nAnswer: 332, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 3*n**2 + 2 - 4*n - 28*n**3 + 7*n + 23*n**3 - 2*n**2 as b*n**3 + x*n**2 + c + u*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -47 and -2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -74\/101284695 and -111\/1420?\nAnswer: 405138780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 183246857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.54 + -0.24. Which is the biggest value? (a) 1\/2 (b) j (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -572\/7 + 82. Let a(w) = -w - 7. Let d be a(-8). Let h be 1\/(8 + d + 1). Sort c, h, -4\/5.\nAnswer: -4\/5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 131*b**2*m - 2*b*m - 222*m with respect to b.\nAnswer: 262*b*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 5*d. Let u be a(-5). Let v(s) = -s - 1 + s**2 + u*s + 0*s**2. Let o be (2\/4)\/(7\/(-14)). Give v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of -23\/3*b**3 + 0*b**5 + 0*b**2 - 53 + 7*b**6 + 0*b + 0*b**4. What is the third derivative of p(t) wrt t?\nAnswer: 2520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*c - 998 = 218. Solve -c - 31 = -19*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25275.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 935 and 758340?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -8859660 rounded to the nearest 10000?\nAnswer: -8860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(6\/11)*n**(-3))\/((n*n*n**(4\/3)\/n*n)\/(n*n**(-1\/3))) assuming n is positive.\nAnswer: n**(-169\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 - 3. Let h be ((-2)\/x)\/((-6)\/18). Let i(b) = b**3 - 6*b**2 + 1. Let t be i(6). Calculate the greatest common factor of h and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 5:05 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (1103635\/(-26) - (2 + -1))*(-64)\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1221449990 a multiple of 2503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, l: 1, o: 1, w: 3, s: 5}. Give prob of picking 1 w, 1 o, 1 s, and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9247087.534 from 0.05.\nAnswer: 9247087.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of 84.4 and 1397941.\nAnswer: 1398025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, -487, 25 in increasing order.\nAnswer: -487, -1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wprw when four letters picked without replacement from pwrw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 45556 (base 7) to base 9\nAnswer: 16824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -330.48 - 3.32. Let s = 39919 + -40315. Let h = s - f. Round h to 0 decimal places.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -33597632 and -5?\nAnswer: 167988160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 43866, 88078, 132636, 177546, 222814, 268446, 314448, 360826?\nAnswer: 407586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -68253\/10 - -13651\/2. Factor 2\/5*r**2 + 1\/10*r + 0 + y*r**4 + 1\/2*r**3.\nAnswer: r*(r + 1)**2*(2*r + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(5) + (sqrt(5) + (sqrt(5) - (1 + sqrt(5))))*5) + (sqrt(25)\/sqrt(5) + 0)*6)**2.\nAnswer: -360*sqrt(5) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 10 and -8464488764?\nAnswer: 8464488774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 y, and 1 j when three letters picked without replacement from llttnlljltbylbnlny.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5230 - 5214. What is the greatest common factor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*u + 30*u - 42*u**2 - 16*u.\nAnswer: -42*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1407382 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 27 - 4*y - 55 + 27 - 3*y. Let h(m) = 45*m**2. Give w(h(g)).\nAnswer: -315*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**2 - 3*c - 4. Let q(x) = 2*x**2 - 2. Suppose 3 - 1 = 2*z. Let u(n) = z*q(n) - r(n). Factor u(a).\nAnswer: (a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -5.4. Let c = t - -0.9. Sort -1, 5, c in descending order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2*w - 4)*(0*w**2 + 0*w**2 + w**3) - w**4 + 30 - 30 + (3*w**2 + 3*w**2 - 5*w**2)*(0*w**2 - 4*w**2 + w**2).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*d**2 - 20*d**2 + 0*d**3 - 19*d**2 + 19*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 + 4. Let f be (-6 - 2\/h)*-1. Suppose f*l - 15 = 15. Calculate the least common multiple of l and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 5*p + 1. Let o(y) = -y**2 + 6*y - 4. Let j be o(4). Let l(w) = -j*w + 2*w + w. Calculate 6*l(u) + t(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1635 from -0.06.\nAnswer: 1634.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -940.467 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*p = 49*p + 62*p + 14 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(324)\/(sqrt(12)*2))\/((sqrt(72)\/sqrt(4))\/sqrt(2)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 502 - 462. What is the remainder when 72 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 3 + 6 + 11*a + (-2 - 3 + 2)*(6*a + 5 - 5))*(2 + a - 2).\nAnswer: -7*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1536556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:24 AM and 11:27 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 + 4*z + (-6 + 3 + 1)*(5*z - 4*z - 4*z) + 4*z - 4*z + 2*z as u + i*z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 + 6*j**2 - 8*j. Let d = 4062 - 4069. Determine a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the first derivative of -r**3 + 3\/2*r + 0*r**2 + 3\/10*r**5 + 0*r**4 + 7. Factor j(f).\nAnswer: 3*(f - 1)**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 12, m: 2, i: 5}. Give prob of sequence mm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -23 + 408. Let u = -383.37 + h. Let p = -1.629663 + u. What is p rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((0 + 1 + 0)*(-3 - 3 - 2) + (-4 - 1 + 3)*(4 - 3 - 6))*(-2*l**3 + 6*l**3 - l**3) to c*l + j*l**3 + w + a*l**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/486 and -59\/21.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 + 5*j**2 + 5*j. Let d be v(6). Let p be d*(1\/2)\/(-1). Solve o = -0*o - p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to 62.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2220 and 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -50.555416 minus 13?\nAnswer: -63.555416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6240 = 155*r - 150*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.005, -44, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -17*m - 2. Let d(c) = -34*c - 5. Suppose -12*u + 4*r = -9*u - 26, 12 = u - 2*r. Determine u*d(f) - 5*w(f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1.6 (b) 3\/5 (c) 1\/15 (d) 3\/7 (e) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-48*68\/(-3264))\/((-4*1)\/(-152)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-85)\/884*-84 + -8?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 + 138*l**2 + 110*l - 176647. Give p(-126).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*f + 52 - 72 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of -h**4\/12 + 7*h**3\/6 - 6*h**2 + h. Let c(v) = -v + 6. What is 4*c(s) - 3*g(s)?\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -1650*s + s**2 - 6685*s - 10336*s - 1085*s as c*s**2 + g*s + p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 32*t. Let j(b) = -4*b + 0*b - 4*b + 7*b. What is k(j(x))?\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/(-24)*2\/((-16)\/(-18))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/2108 and 43\/310.\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-34)\/561*11*-4\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 - 2*w**2 - w + 2. Let c be (21\/3 + -3)*-1. Let n(l) = -l**2 - 6*l - 5. Let f be n(c). Let y be o(f). Solve -y = 5*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -7. Suppose 41 = 5*g + 4*n, 4*g = -2*n + 7*n. Suppose -5*c = 3*k + g, c + 1 = -h. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -24 and -22628.57?\nAnswer: 543085.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 312341 - -33?\nAnswer: 312404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 22*w**2 + 21*w + 7. Let c be u(-21). Let m(q) = -4*q + 3*q - 6 + 3*q - q. Calculate m(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*g**2 - 5*g**2 - 2*g**4)*(g + 1 - 1) - 2*g - 3*g**5 + 2*g - 8*g**5 - 2*g + 2*g.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 6d3b9 (base 15) to base 10\nAnswer: 348474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3 - ((-60)\/(-28) + 1). What is the closest to -2 in -0.1, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105*c - 4*c = -22*c - 258303. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 2*d + 2. What is a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3138 + 302 = 5*c. Suppose -5*t + 632 = -c. Suppose -3*j = 2*j - 120. What is the greatest common factor of j and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -852 - -1743\/2. Let l be 10\/12*76\/10. Let f = -83\/6 + l. Find the common denominator of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*y + 13*y + 4 + 12*y to the form u + s*y and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3*u = 2*u + 11, 0 = 2*f - 3*u - 17. Suppose 0 = -4*n - v + 20, 5 = 3*n - 2*v + 1. Let s(h) = -f + 3*h + n. Let m(a) = a**2. Give m(s(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -18, -172, -584, -1386, -2710, -4688, -7452, -11134?\n\"Answer: -22*g**3 + 3*g**2 - 9*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 115138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2.85935675 less than 0.66?\nAnswer: 3.51935675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*n + 15*n + 4 - 15 = -4*h, 209*h + 204 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 21 = 229. Let l = m + 67. Suppose 86 = b + l. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 118 + -111 + (-2 + -1 + 0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (69\/5)\/((-864)\/(-1440))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -1 + 1 + r + 3*r - 2. Suppose -1 = -d - 2*p, -2*d - 5*p + 3 = 4. Is 12 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8*(156\/36)\/(24\/(-18))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + 0 + (-24 - (-14 - -15)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -10*d - 129. Let f be v(-13). Let a = -3 + 6. Solve 0 = -2*o - a + f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - o - 1585 = -4*f, 4*o - 951 = -3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -601 + 605. Sort f, -4, -1, 1 in decreasing order.\nAnswer: f, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2*z**2. Let c(y) = 62574*y. Give n(c(i)).\nAnswer: -7831010952*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, y: 1, v: 1, r: 4, z: 1}. What is prob of picking 1 r and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (270\/36)\/(12\/768*6)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 112687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 86502911*k**6 - 89516552*k**2.\nAnswer: 10380349320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -10*m**3 - 8*m**2 - 186*m - 707. Calculate w(-4).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/7*5)\/((-1)\/14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, -0.4, -0.0502, -3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -0.1, -6\/5, 0.3, -0.1104, 48?\nAnswer: -0.1104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, m: 1, t: 7, j: 9, l: 1}. Give prob of picking 2 t, 1 l, and 1 o.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (o + 3*o - 2*o)*(6 - 16 + 4) + 7 - 27*o - 5*o - 8.\nAnswer: -44*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeeeeveveveeveeee. Give prob of sequence vv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 431\/6301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 6*x**5 - 24*x**3 - 3*x**2 + 27*x + 21. Let n(d) = -3*d**5 + 12*d**3 + 2*d**2 - 13*d - 10. Let u(s) = 9*n(s) + 4*t(s). Factor u(g).\nAnswer: -3*(g - 2)*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes before 7:43 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 622 + -612. Suppose -2*d + o = -196, q*o - 5*o + 204 = 2*d. Calculate the remainder when d is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + 24*x**2 + 93*x - 355. What is y(26)?\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 341 - 324.96. Let h = 16 - y. Let b = 0.03967 + h. What is b rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1905*r + 72140 = -85917 + 51377 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*u - 2*t + 1, 4*u + 2*t + 2*t = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 2*t + 75 = 96, -8*d = -7*d + 2*t - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = 2*d + 41*y - 178, 5*d - y - 110 = y - 7*y for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((77 + -5)*((-1220)\/80 - -15))\/((-3)\/7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 - 273554. Let m(x) = -3*x. Determine m(c(q)).\nAnswer: -3*q**2 + 820662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 15, 0.3 in increasing order.\nAnswer: -4\/7, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w - 11*s + 45 = -6*s, -4*w = 2*s + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 421657 is divided by 4685.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 - 6*u**2 + 6. Let f be d(-6). Let j = 17 - 21. Let s be (-6)\/(-4)*j\/f. Does -1 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of 18*k**3 + 7*k**2 - 17*k - 11. Is d(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 640202 (base 7) to base 6\nAnswer: 2211442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) 1\/4 (c) -26095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -9\/8, 2960, 1\/934.\nAnswer: -9\/8, 1\/934, 2960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 5*t + 17350 = 0, 0 = 4*q + q - 6*t - 17383. What are the prime factors of q?\nAnswer: 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 7*k - 3. Let b be (-2)\/(((-6)\/4)\/(-3)). Let f(u) = -1 + 0 - 30*u - 5. Let g(q) = -6*q - 1. Let h(r) = -3*f(r) + 16*g(r). Give b*w(l) - 5*h(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o - 19. Let w(u) = -u - 13. Let n(q) = -7*w(q) + 5*z(q). What is the first derivative of n(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52911215 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 16, 2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 2*u = -28. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + -515233?\nAnswer: -515241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1666 + 797. What is the least common multiple of g and 21?\nAnswer: 17241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453394.9 litres in millilitres?\nAnswer: 453394900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10088648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -321*d + 320*d = -4*h + 18, 0 = -3*d - 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -7*p. Let n(w) = -3*w. Let q(v) = 5*n(v) - 2*s(v). Let f(c) = -25*c. Determine q(f(h)).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -4*a + 100, 5*a = -i + 21 + 5. Factor 2*v**3 + 5*v - 5*v - 16*v**2 + 42*v - i.\nAnswer: 2*(v - 3)**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 45458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2544, -2634, -2780, -2982, -3240, -3554?\n\"Answer: -28*i**2 - 6*i - 2510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/2 - (106\/1484 - 11\/7). Solve -x*h - 135*n = -137*n + 16, 0 = -4*h - 4*n + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-380)\/475 + 22\/(-10) + 3\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 1)*(106*s - 242*s - 51*s) as o + c*s and give c.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 1379.8 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -47*k - 350. Let x(s) = -32*s - 349. Give 2*w(b) - 3*x(b).\nAnswer: 2*b + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 4*o = -24, 30 - 8 = -5*n - 2*o. Let f(d) = -d**2 - 4*d + 4. Let w be f(n). Let q be (w - 2)*-1 + 2. Solve l + 2*l + 12 = q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 25*f + 4. Let d be h(5). What is the remainder when (d\/(-6))\/(1\/(-2)) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.45 + -0.3. Let t = 0.2 - l. Let a = t + -0.45. Put -5, 0.5, a in ascending order.\nAnswer: -5, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14774?\nAnswer: 2, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -747 + 678 - (4 - -10)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -3*b. Let o(f) = -4*f. Let r(c) = 2*o(c) - 3*s(c). Suppose 5*a = -4*q - 38, -3*a - 6 - 2 = -5*q. Calculate r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-34)\/(-17))\/((-22)\/(-319))*(-99)\/33\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 506325 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*c = 23*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 132 and 616164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 3. Suppose -27 = -5*t - 12. Suppose 81 = 3*g + v, 0 = y*g - 7*v + t*v - 66. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 1 = -l + p, -4*l + 38 = -3*p. Let k(w) = 2*w + 11 - l. Let s(u) = -u + 2. Let b(z) = z - 1. Let i(x) = -2*b(x) - s(x). What is k(i(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 56*i**2 + 305*i**2 - 108*i**2 - 3 as x*i + f*i**2 + z and give f.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 AM and 2:20 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 484 + -417. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -332 (base 7) in base 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*s - 22*s + 2*s**2 - 19*s - 18*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 2196 divide 543846607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 144540 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -d81 - -288?\nAnswer: -ad7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1776 + 843 - 1642)*(-15*y + 5*y - 11*y) to the form k + l*y and give l.\nAnswer: -20517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/2*2 - 18\/(-18). Suppose -1 = -t*u + 3. Let w(z) = 203*z**2 + 1. What is the tens digit of w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1373 + 6?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 plus 37437?\nAnswer: 37436.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2729 is divided by 899?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 15, -1, 6 in decreasing order.\nAnswer: 15, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6, -10, -26, -42?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 125424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 124358 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 1. Let k(p) be the third derivative of -5*p**4\/6 - 19*p**3\/6 + 19*p**2. Let i(s) = a(s) - k(s). What is the derivative of i(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -951*s**3 - 919*s**3 + 1897*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 171, 5, -8136 in ascending order.\nAnswer: -8136, 5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 100855?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -14 - 11*m + 6 + 14*m. Give i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1156181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*f - 9033 = -1051. What is the remainder when f is divided by 199?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/6? (a) -2\/5 (b) -5\/3 (c) 3 (d) -45 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 152\/819 + -2\/63. Let l = -0.0959 - -76.6959. Let v = 76.8 - l. What is the second biggest value in n, -1\/2, v, -2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 3 - 3)*(3*s + 2*s - 2*s)*((-2*s + 2*s - s)*(0 - 2 + 4) - s - 24 + 24)*((-1 + 2 - 3)*(-2 - 1 + 2) + 0 + 5 - 4) to a*s**2 + q + d*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 - -28. Let i = -17 + y. Suppose -5*h = -3*b + 24, -175*h = 4*b - 176*h + 2. What is the fourth smallest value in -0.3, 0.4, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.284 + -2.151. Let c = 0.133 - v. What is the closest to 1 in 5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 638.44137 rounded to one decimal place?\nAnswer: 638.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let s be -3 + (-9)\/((-45)\/110). Suppose -4*k + 13 = -s. Find the second derivative of -k*t**4 - 8*t + 0*t + t wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, -582, 62 in increasing order.\nAnswer: -582, -1\/6, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2148 - 2149. Let a be 1*4\/6*-3. Let m(n) = n + 1. Let j(v) = v**2 - 11*v + 6. Let t(s) = a*m(s) + y*j(s). What is t(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/374 and 85\/43476?\nAnswer: 8130012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 438867 and 1287?\nAnswer: 438867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 23296 and 6912.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmkk when four letters picked without replacement from kkrmmkmmkkkmrmkmkk?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 25111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-112)\/6*(71526\/208)\/(-131).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 29 + 3\/(-3) - -2. Let z(b) = 2*b - 53. Let i be z(14). Let x = i + l. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 574246 and 1645705?\nAnswer: 134947810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4145 + 6748. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -2*h + 26. Solve -h*z + 5 = -3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*n**2 - 11*n**3 - 3*n + 6*n + 2*n**4 - 106 + 109 + 2*n**3 to the form c*n**3 + u*n**2 + j + b*n + o*n**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 0 = 14. Suppose -r = 3*n - 4*r, 3*r = -4*n + g. Suppose o + 23 = n*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1196477.\nAnswer: 17, 70381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001171262 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 8:40 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -180.6 - -193. Let d = k + -12.353. Which is bigger: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*(x\/x**(5\/2))\/x)**(2\/21)*x**(-2\/5)\/x*x**(-1\/6) assuming x is positive.\nAnswer: x**(-359\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -49*b**3 - 7*b**2 + 7*b + 7. Let l(n) = -n**3 - 9*n**2 - 9*n - 336. Let h be l(-11). Let q(c) = -33*c**3 - 5*c**2 + 5*c + 5. Give h*j(t) - 7*q(t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*r + 198 = 30*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t = -1437 - 2403. Calculate the highest common factor of t and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 598 = 5*m, 1178*m - 1173*m = 3*n - 897. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45289*r - r**3 - 22153*r + 2 - 2 - 23135*r.\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -34229, -33901, -33323, -32471, -31321, -29849?\nAnswer: -28031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, q: 5}. Give prob of sequence qq.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/(-25)*(111\/555)\/(9\/10)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 9*q - 70 = 0. Suppose -7*o - 1932 = -q*o. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 5*c + 256. Let n be a(-50). Solve 0 = -2*l - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 330228154*b*z**4 - 10*b*z**2 - 76368*b*z - 2*z**2 - z + 3 wrt z?\nAnswer: 7925475696*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 865 and -6.\nAnswer: -5190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 49, -2, -85 in decreasing order.\nAnswer: 49, -2, -6, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2231330, 2231332, 2231334, 2231336?\nAnswer: 2231338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 8*d = 0. Let q(b) = -b**3 - b**2 + b + 39. Let y be q(d). Let t be 821\/(-13) + -1*(-6)\/y. Round t to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 210029 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11808*x + 11802*x = -96. What is the least common multiple of x and 1728?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -9*(4\/(-13))\/(93483\/(-23829))\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/8 + (12865\/20)\/1. Suppose -3*y + w = 4*t, -2*t + 236 = y - 6*t. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -94, -3 in descending order.\nAnswer: 4, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 157003664?\nAnswer: 2, 43, 228203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7557205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -36*n**2 + 145070*n - 42519598 with respect to n.\nAnswer: -72*n + 145070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - -3 - (9 - 2) - -6 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -5*o**3 - o**2 - o. Let m be t(-1). Suppose 43 = 5*j + m*z - 22, -z + 31 = 3*j. What is the remainder when 41 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 3*p, a - 3*p = -3*a. Suppose -n + 2*n - 6 = a. Solve 2*f = n*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 5*d = 3*u + 20, -100 = -5*u - 3*d. Let n(g) = -g**2 - 9*g - 6. Let h be n(-8). Solve -h*y = -7*y - u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p - 1. Let s(i) = -9*i**2 - 9*i + 9. Let v(q) = 9*c(q) + s(q). Let x(j) = -3*j. Calculate v(x(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1a0130 + -2?\nAnswer: -1a0132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r**2 + 9 + 16*r**3 - r**4 + 9*r**2 + 3*r**5 - r**4 - 13*r**4 + 2*r**3 - 21*r = 0. What is r?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 241 divide 19325265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 15*q - 103. Let j be i(7). Suppose 13 = j*a + 3*c, a - 4*c - 28 - 6 = 0. Solve 2*n + 8 = 3*v, -4*n - 5*v + a = -14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 - 3761. Let f(w) = 3*w**2 - 11288. Give -4*f(m) + 11*l(m).\nAnswer: -m**2 + 3781","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 103526 and 13320?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4 or -10420684.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -41 + 43. Suppose 20 + 103 = -41*g. Sort g, 32, b in decreasing order.\nAnswer: 32, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -45794, -46715, -48242, -50369, -53090, -56399, -60290?\n\"Answer: f**3 - 309*f**2 - f - 45485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-2*sqrt(9)\/(sqrt(15)\/sqrt(5)) + (-2 + sqrt(300) - sqrt(3)) + sqrt(3) + -5).\nAnswer: -7 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + q = 3, 3*q + 1 = -14. Let m be w + 1 - (-55)\/65. Put 4\/9, m, -3 in ascending order.\nAnswer: -3, m, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2191700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5652, -5655, -5660, -5667, -5676?\nAnswer: -5687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 39058409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 4*b - 94, -4*i - 104 = -3*b - b. Is b less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6710052, -13420102, -20130156, -26840214, -33550276?\nAnswer: -40260342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1107 + -688. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 1:48 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**2 + 2*z + 3. Let y be q(3). Solve 4*g + g - 10 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2219 + 2219. Let m be (-10)\/(-36) - (-4)\/18. What is the nearest to w in m, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -100 and -43923198296?\nAnswer: 43923198196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -9, -0.42999, -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 10*c**2*i**2 - 150996237*c**2 - 2*c*i + 126*i**2 - 7107*i wrt i?\nAnswer: 20*c**2*i - 2*c + 252*i - 7107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 7 - 2*u - 16*u**2 - 7 - 17 + 37 + 8*u**2 as m*u + k + d*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12 and 12672384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 10935289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -2*x**4\/7 - 214*x**3\/7 - 6198*x**2\/7 - 49706*x\/7 - 16120 = 0. What is x?\nAnswer: -65, -31, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 59613358 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.02? (a) 0.2206 (b) 11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 243\/5 > 0.0446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 255\/90 - 1\/(-3*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 49236563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 + 1)\/(6\/(-12)). Let w = -21 + 17. Is w - (2 + h) - -84 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6 + (-7)\/(42\/(-642)) is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/(-56))\/(((-28)\/147)\/2)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1364 divided by 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 42\/24342751 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -7*x - 5*x + 2*x**2 - 3*x**2 + 9. Let a be g(-11). Suppose -a = -4*q, -14 = -2*v + 2*q - 4*q. Sort 0, v, -16 in decreasing order.\nAnswer: v, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 9*v**4\/4 + 113*v**3\/4 + 443*v**2\/4 + 455*v\/4 - 75 = 0.\nAnswer: -5, -3, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 4*c + 4*m - 49, -3*m = 4*c - 39. Let a(n) = 1 + 0*n - c*n + 1 + 2*n - n**2. Let q be a(-4). Solve 5*t - 25 = 5*v, -q*t + 2 = 2*v + 2*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 92688 - 92688.00000048931. Round o to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.3 - -1.8. Let b = 0.16 + -0.16. What is the third biggest value in x, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5\/23 or 0?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 503727 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 941, 1737, 2485, 3185, 3837?\n\"Answer: -24*p**2 + 868*p + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1324287, -2648537, -3972747, -5296917?\n\"Answer: 20*w**2 - 1324310*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3\/6 - 36205*z**2\/6 + 403552*z - 397518.\nAnswer: (z - 36138)*(z - 66)*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**21\/(k*(k\/((k\/(k*k\/(k\/(k**17*k))*k))\/k*k))\/k)*k**(-34)*k\/(k*k*k*k*k**(1\/26)*k)*k*k*k)**(-42) assuming k is positive.\nAnswer: k**(18585\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 33950 + -1?\nAnswer: 33949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -254, -255, -256?\n\"Answer: -r - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*w + 20, 3*w = -4*q - q + 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - t = -42. Does 15 divide (6\/5)\/(t\/560)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43340 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - 2*r - 1. Let i be l(3). Let v = i + 5. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4 - 88\/20 - (-152)\/5. Suppose -2*i + b = n, 109 = 4*n - i - 2. Let f = n - 26. Which is smaller: f or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*(u\/(u\/u**(2\/23)))\/u)**(2\/13)\/(u**(-10\/3)*u\/u**(7\/6)) assuming u is positive.\nAnswer: u**(2101\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7299635 to the nearest integer?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4031 and 33499.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 8*o + 4. Calculate the least common multiple of w(12) and 90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 7*y + 7. Let v(l) = -13*l - 13. Suppose -j + 35 = -3*p, p = -4*p - 2*j - 51. Let i(x) = p*h(x) - 6*v(x). List the prime factors of i(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 - 3*o + 6. Let q(r) = -r**2 + 8*r - 10. Let i be q(5). Suppose -j = -i*j + 20. Suppose 4*w + w - 2*v = -27, -j*v + 20 = -3*w. What is t(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 0 - ((-9)\/3 - -1) - -88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 56052467 to the nearest integer?\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/14576 and 29\/169648.\nAnswer: 154549328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 104b268 (base 12) to base 3.\nAnswer: 12210220100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**3 + 20*t**2 - 20*t + 28. Let k be o(-21). Let y(p) = p**2 - 6*p - 10. Give y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, 18338\/39, 0, 25\/9.\nAnswer: -2\/5, 0, 25\/9, 18338\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*c**4 + 3*c**3 + 139015*c**2 - 22640501 with respect to c.\nAnswer: -28*c**3 + 9*c**2 + 278030*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 15, -3, 1002, 2\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3319946710.\nAnswer: 2, 5, 41, 8097431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 + -7. Suppose 2*a**4 - d - 8*a**3 + 5 + 0*a**4 + 4*a**2 - 8*a + 8*a**2 = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-12)\/(-11))\/6 + (-634)\/(-22). Let n = -23 + d. Solve 0 = 2*l + l + n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z**2\/4 + 1258*z + 5028 = 0. What is z?\nAnswer: -5028, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-9)\/((b\/(b**(10\/7)*b))\/b))**(-3) assuming b is positive.\nAnswer: b**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*q + 2*x + 10, 37*q - 42*q = -4*x - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 312 and 2028.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7233.\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -4. Let o be (9\/(-1))\/(9\/(-6)). Suppose -o*m + m = -20. What is the smallest value in d, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -32 + 9e4f0?\nAnswer: 9e4be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1905 and 107340?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 766073204.7 to the nearest one million.\nAnswer: 766000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 2*j**2 - 2*j + 86. Let w(q) = -3*q**2 + 3*q - 173. Let l = -3 - 2. Let h(n) = l*x(n) - 3*w(n). Is h(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4427*h + 34*h**3 - 52*h**3 - 4413*h.\nAnswer: -18*h**3 + 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1031*b*s**4 - b*s**3 - b*s + 4878*b + 47*s**3 + 3*s + 1 wrt s?\nAnswer: 12372*b*s**2 - 6*b*s + 282*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is f in -5*f**2 - 270*f - 2025 = 0?\nAnswer: -45, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 813 by -271.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(168\/102) - (-4 - -1). Let a = 5 + -3. Let r = -3 + a. Sort -2\/11, b, r in ascending order.\nAnswer: r, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 - (-6)\/4*12\/9. Suppose 0 = -z - 3*w + 5*w + 5, z - 5*w - 11 = 0. Suppose -z - 2 = -y*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the first derivative of -m**4\/4 + 3*m**3 - 5*m**2\/2 - 7*m - 5. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -43, 6, -5, -2 in decreasing order.\nAnswer: 6, -2, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 10\/21 (b) -2\/3 (c) -2\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 787269450*i**3 - 482011521*i**2.\nAnswer: 4723616700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 374 and 2057.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes before 6:51 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2300 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: In base 7, what is -133 - -4?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = 2*x + 6. Suppose h = -2*w + 7, 0*h - 4*h + 22 = x*w. Solve l + 1 = h*d, -d - 3 = 3*l - 5*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -42 - -16. Let d(c) be the third derivative of -c**5\/15 + c**4\/12 + 2*c**3\/3 + 344*c**2. Let i(z) = -17*z**2 + 9*z + 17. What is t*d(l) + 6*i(l)?\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 222210010101021220 - -11?\nAnswer: 222210010101022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 89011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -52410150 (base 6) in base 9?\nAnswer: -2774473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 times 10208375\nAnswer: -40833500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -42 (base 15) to base 3.\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 2, -13, -37, -3 in descending order.\nAnswer: 6, 2, -3, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 4*z**2)*(0*z + 4*z - 2*z) - 5*z**3 - 3*z**3 - 2 - 13*z**3 + (-1 + 1 - z)*(6*z**2 - 2*z**2 - 2*z**2) + (-3*z + z**2 + 3*z)*(z + 4*z - 2*z).\nAnswer: -28*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -136 in -3, 713.9, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2 + 8*s - 8. Let i be k(6). Differentiate -f**4 - 3 + 0*f**4 + 1 - f**i with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3 + (-81)\/(-6))*2. Let t = 54 - i. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/5400 and 9\/130.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 75035 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 11*z**2 + 121*z + 170. Calculate p(-8).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 2*a + 7. Let j = a - 6. Suppose -4*f + 30 + j = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to -8\/15569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - 0. Let q(i) = i**2 + 2*i - 1. Let w be q(z). Suppose 4*n + 181 = 5*o, 2*o + o - 107 = w*n. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*v - 25 + 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 24259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - -222202?\nAnswer: 222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 - -5135?\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -10 - 529*g + 8 - 292*g + 2 in the form i*g + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30388969, 60777937, 91166907, 121555879, 151944853?\nAnswer: 182333829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x**3 + 4*x**3 + 4*x**3 - 10*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 3*s**2 + 17*s - 69. Let y be a(9). Let o = 327 - y. What is the closest to o in 4, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 11:04 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8435 + 1727. Let l = 5395 - c. Let m = 75767 + l. What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 56 - 82. Let v = -21 - k. Solve -v*o = 17 + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3839, 7945, 12101, 16307, 20563, 24869?\nAnswer: 29225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = -0*p + 4*p + 11, -p - 20 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1529668\/49 - (-56)\/196?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.38? (a) 2\/7 (b) 2 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1542928 and 128480?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l - 2*l + 7*l)*(-2 + 5 - 5) + 12 - 19 + 13 + 2*l.\nAnswer: -2*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*t - 2*t. Suppose -t*v = h - 22, 4*h = -3*v - h + 33. Let f = 27310 - 27312. Which is the nearest to -2? (a) f (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.5 in -4, -14, -100, -21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3603\/77888 + 3\/4868. What is the common denominator of 157\/132 and p?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(704) + 3 + (1*sqrt(704) - sqrt(704)) + sqrt(704) - sqrt(704))**2 + -2.\nAnswer: 48*sqrt(11) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/6)\/(7\/(-21))*2\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3\/17, 0.1.\nAnswer: 0.1, 3\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, l: 1, i: 11}. What is prob of sequence ii?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 4*l**2 - 5*l + 7. Suppose -60*o + 182 = -o + 5. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32218.2 times -0.12?\nAnswer: 3866.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/16)\/((-720906)\/(-13992) + 24\/(-88)).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 + 0)*(1 + 0 - 2)*(4*u - 5 + 5)*(24 - 6 + 28).\nAnswer: -552*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {j: 3, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3345 and 2324775?\nAnswer: 2324775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18.6 + 22. Let s = -3.6 - i. Let h = 0.98 + 0.02. Which is the nearest to s? (a) 0.1 (b) -2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -11 in -0.3, 0.4, 3\/2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 119570 is divided by 808?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -5*w + 306 - 4*w - 151 - 147 in the form q + h*w and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of -p**5\/60 + p**3\/6 + 4*p**2. Give i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -48, -66, -96, -138, -192, -258?\n\"Answer: -6*k**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 781 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -147*f**3 + 6*f + 7. Let q(n) = 441*n**3 - 17*n - 20. Determine 17*j(v) + 6*q(v).\nAnswer: 147*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 20233 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67163940.\nAnswer: 2, 3, 5, 17, 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-6*sqrt(48) + -6*sqrt(12) + -2 + 4)**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 30916086 divided by -9\nAnswer: -10305362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16980 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of -7*r**4\/24 - r**2. What is the units digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 363.46 from -361640.\nAnswer: -362003.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 - 4*u**2 + 18*u + 27. Let s be x(-6). Which is the nearest to -1? (a) 0.1 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/10)\/((-8100)\/310500)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (10\/(-3))\/((-30)\/(-45)) - -89. What is the highest common factor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h**2\/13 + 152548*h\/13 + 2908861538\/13 = 0 for h.\nAnswer: -38137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 9 (b) -2\/7 (c) -18 (d) 0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/27 + 16\/(-6)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 48 = -3. Calculate the remainder when b is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + 0 + -2 - (0 + sqrt(275)*1 + sqrt(275)))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**28\/h*h**(-35))**(-41) assuming h is positive.\nAnswer: h**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*b + 16*b + 4*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.9 - 1.3. Let b = -0.03 + -0.37. Let s = b - z. Sort 2\/5, s, -2\/3.\nAnswer: -2\/3, s, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*q = -1954 + 64. Let u = -545\/6 + q. Is -0.3 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 71052 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -522, -1048, -1584, -2136, -2710, -3312, -3948?\n\"Answer: -p**3 + p**2 - 522*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1621467708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1150.40010278 + -1150.4. Round o to six dps.\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 22 + (9 - 26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(10\/1)*8\/4. What is the third biggest value in -11, -1, u?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1*-1*2)\/(-2)*(-638 - -261). Calculate the highest common factor of 667 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/6 - 58*q\/3 + 1682\/3.\nAnswer: (q - 58)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of v**7\/168 + v**5\/40 - v**3\/6 - 4*v. Let u(f) be the second derivative of i(f). What is the second derivative of u(l) wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (240\/(-18))\/((-628)\/471)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 52066\/443139 - -4\/26067. Let s = -0.39 + -19.61. Which is the closest to 0? (a) s (b) -2\/7 (c) 2\/3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 2*b**2 + 30. Let n(j) = 28*j. Let p(z) = 6*z. Suppose 165*t + 14 = 172*t. Let f(x) = t*n(x) - 9*p(x). Calculate o(f(u)).\nAnswer: 8*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 2*x**4 - 310*x**3 + 16052*x**2 - 283008*x + 267264 = 0.\nAnswer: 1, 48, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 PM and 10:13 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -947 divided by 3.\nAnswer: -947\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**3 - x**2 + 4*x - 2. List the prime factors of r(-3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 16, p: 2}. Give prob of picking 3 t and 1 p.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 2 + 3*r**2 - 4*r - r**2 - 3*r**2. Let z = -263942 - -263935. Calculate b(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (45\/10 + -5)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -2*k**3 - 5*k**2 + 2*k + 7. Let f be m(-2). Let c(x) = -2*x**3 - 3*x**2 - 2*x + 2. Calculate the least common multiple of 267 and c(f).\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jcjc when four letters picked without replacement from {j: 10, c: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 81991.52s to microseconds.\nAnswer: 81991520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the third derivative of i**4\/12 - i**3\/6 - 2*i**2. Let z be 27\/6 - 2\/(-4). Suppose z*s + 2 - 22 = 0, -3*s - 3 = -3*c. Give n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/(w**4\/w)*w*w)\/w)\/(w*w**(5\/4)))\/((w**(-4)\/w)\/w*w)**(-32\/7) assuming w is positive.\nAnswer: w**(-731\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is b72 + -195433?\nAnswer: -194481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -241 - -598. What are the prime factors of o?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004312 rounded to five decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c**2 + 4*c**2 - 17*c**5 - 30*c**5 + (-6*c**2 + 0*c**2 - c**2)*(-c**3 - 3*c**3 + 3*c**3) + 0*c**5 + 5*c**5 - 3*c**5.\nAnswer: -38*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.5*0.225\nAnswer: 0.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1654418.9 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 4*j - 22, 11*h = 8*h + 4*j + 25. What is the lowest common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1103221101 (base 4) to base 8.\nAnswer: -1235121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*q - 18*q = -37*q + 1820. Solve 7*x - q + 427 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -404, 23, 0.0418?\nAnswer: 0.0418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -252, -252, -254, -252, -240, -212?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 518775398 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 46604670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i**5\/3 + 14*i**4\/3 - 18*i**3 + 58*i**2\/3 - 20*i\/3 = 0. Calculate i.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4673 + 1400*m**2 - 1167 + 8134*m - 8135*m wrt m.\nAnswer: 2800*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2, 4, 1.06, -4\/5, 5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 231949996 to the power of 1\/2, to the nearest integer?\nAnswer: 15230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.6 and -0.05585981?\nAnswer: 0.089375696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -510, -988, -1424, -1800, -2098, -2300, -2388, -2344?\n\"Answer: 3*v**3 + 3*v**2 - 508*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 14\/(-28) - (-290)\/4. Suppose 2*p + 3*q - 36 = -2*q, -q - s = -4*p. Suppose -30 = 13*i - p*i. What is the highest common factor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 473113758 to the power of 1\/2, to the nearest integer?\nAnswer: 21751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -492 (b) 0.02 (c) 6 (d) 5.7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 194 = -12*q + 257 - 423 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10510 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.895 - 0.99. Let o = -0.015 + s. What is o rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(38) - sqrt(608)))\/sqrt(2).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8739?\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 2 y when four letters picked without replacement from eyeeeeyeeeeee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 9*(-6)\/(-9) - -4. Solve -6*s - 16 = -x*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2230 = -2*g + y, -y - 3 = -1. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -222804\nAnswer: -1\/55701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 67 - 72. Which is the third biggest value? (a) 2 (b) -3 (c) h (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f**2 + f**2 + 0*f**2)*(-f + 5*f**2 + 2*f - 3*f**2).\nAnswer: 2*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 2*r. Let x = -222 + 211. Let l(m) = 5*m - 225. Let b(w) = w - 45. Let n(j) = x*b(j) + 2*l(j). Give n(h(v)).\nAnswer: -2*v + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 8 = a, -5*r = 3*a + 1 + 26. Suppose -k + 2*k = 6. Let x(i) = -i + 4. Let y be x(k). Sort 1, r, y in increasing order.\nAnswer: r, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*q + 35*q = 28. What is the least common multiple of q and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*x - 128 = 220 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 22 = -4*u - 27, -5*c - 4*u - 3 = 0. Put -2, c, -559 in descending order.\nAnswer: c, -2, -559","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 128*i + 650. Determine u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/4 + 7\/2. Let z be w\/(-1) - (-12 + 5). Which is the nearest to 1? (a) 3 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/15*(-35)\/2*(-26)\/91.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = -5*o + 430. Let k = o + -15. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.01 and 1.224506.\nAnswer: 0.01224506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2263 = -2*o + 5*p, 2*o = -5*p + 4*p + 2293. List the prime factors of o.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (44*o + 25*o - 34*o)*(-2 + 2 + 3 + (2 + 0 - 4)*(1 - 4 + 2)).\nAnswer: 175*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2431 is divided by 600?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be 45\/(-12)*16\/(-12). Let c be x + (-1)\/(-4 - -3). Let v(u) = 2*u + 3. What is the remainder when v(c) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -33\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5 = -0. Suppose s = -0*h - 2*h + 16, 2*h - 2*s - 4 = 0. Calculate the greatest common factor of j and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - (-4 + -1 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 230 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-4)*(-45)\/1575?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 618 (base 10) to base 16.\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -38*o. Determine i(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6402 is divided by 121?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 - (-722)\/(-4))\/(16\/(-32)). Let q = -217 + f. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 98989.99t to nanograms.\nAnswer: 98989990000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 452857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.91731 and -0.5.\nAnswer: 0.458655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 95.9 - 61.4. Let x = r - 34.5000514. What is x rounded to 6 decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001736 rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -106, -231, -368, -523, -702, -911?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - 1. Let h be -4*r*(-3)\/(-12). Solve 2*w**5 + h*w**4 - 4*w + 4*w = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25 + 5 + -16 + 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 39 = -6*t + 2*t, 0 = -t - 2*v + 12. Let c(q) = q**3 - 6*q**2 - 2*q + 4. Calculate c(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -600, 6, 0, 5, -11, 3 in decreasing order.\nAnswer: 6, 5, 3, 0, -3, -11, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -107261*i*j**3 - 66679226*i*j - 308*j**5 - 2*j wrt j.\nAnswer: -643566*i*j - 6160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -3 + (-9 - -2) + -3 + (-8 - 3) + -24\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1580 divided by 790\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -123 divided by 656\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of -c**7\/525 + c**6\/75 - c**5\/150 - c**4\/10 - 186*c**2 + 4*c - 1. Solve k(g) = 0 for g.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddaw when four letters picked without replacement from {d: 2, w: 1, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 686998578?\nAnswer: 2, 3, 7, 16357109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10 + -21\/2. Sort q, 1, 3.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 2*v - 27, -3*v = -4*q - 18 - 5. Let o = 3 - v. Suppose s - 5*i - 12 = 2*s, -2*s = 5*i + 9. Calculate the lowest common multiple of s and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.9 + 1. Let a(i) = 2*i + 4. Let y be a(-4). Let w = 3.114 - 0.114. What is the nearest to q in w, y, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 44078.47798 to the nearest 100.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 4*f = 28, -2 = -2*w + 4*f - 10. Let s = -45.4 + 45. Let q = s + 0. Which is the third smallest value? (a) q (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -18315, -27528, -36741, -45954, -55167, -64380?\n\"Answer: -9213*w - 9102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 - 16)\/(-1)*(21 - 20). Suppose t = 2*x + u, u - 3 = x - 4. Let b(i) = 2*i + 2. Calculate b(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3305515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -7*v + 0*v**3 + 3*v**4 + 5 - v**3 + 14*v - 8*v in the form f*v + s + c*v**3 + w*v**2 + l*v**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -678673349 by 6226361.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*o + 2992 = -9913. Suppose -d + 28 = -5*i - 30, 3*d = -3*i + 84. What is the remainder when o is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 693968 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -55079 or -55054?\nAnswer: -55079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -43644 by -200.\nAnswer: 10911\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 50*u + 2503. Let n be g(-50). Let p(k) be the third derivative of 0*k**n + 0 + 22*k**2 + 19\/24*k**4 + 0*k. Let a(s) = -s. What is p(a(c))?\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 8710*r = -8942*r + 17850*r - 1483 - 1091 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6338718ms to hours.\nAnswer: 0.0000001760755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 194775 and 33075.\nAnswer: 1752975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2852474 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**19\/(f\/f**(-2\/21)) assuming f is positive.\nAnswer: f**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 220\/7 < 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2121, 2117, 2113, 2109?\n\"Answer: -4*g + 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1855 + 3982. Suppose 13*r = -0*r + a. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = 45*j - 48*j + 6, 0 = 11*n + 66 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 + -259016759395.\nAnswer: -259016759395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 2\/5 (b) -14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - (10572\/(-624) + 12))*-8?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1352 divided by -26.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 5*w + 3*w + 8*w as p*w + v and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 5*w - 2250 = -2455, 21*w = -7*h + 847 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of -5*o**4 + 2*o**3\/3 - o**2\/2 - 4*o + 7. Let j be h(-1). Calculate the greatest common divisor of 38 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 - -9. Suppose -7*s + 64 = k*c - 3*s, 3*s - 69 = -3*c. Let o = -4 + c. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f + 4*f - 2*f**3 - 3*f + (0*f**3 - f**3 + 3*f**3)*(-332 + 140 - 340).\nAnswer: -1066*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 206\/13? (a) -1 (b) 1 (c) 2316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**2 - 5*h - 1. Let i = 9939 + -59623\/6. Let q(g) be the second derivative of 23*g + i*g**3 + g**2 - 1\/6*g**4 + 0. Give 9*l(n) + 4*q(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 3005 divide 191541705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 75079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (138\/8)\/(2\/8). Suppose 0 = -a - 2*a + z. Suppose -r - 7 = -a. Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 + 12. Let c = -6.00096 + w. What is c rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 377*n - 403*n + 1.\nAnswer: -26*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 168905986 to the power of 1\/2, to the nearest integer?\nAnswer: 12996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**3 + 167*c**2 - 656*c + 652.\nAnswer: -(c - 163)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 + 23.34274161785.\nAnswer: 23.74274161785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from bbub.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.14 - 0.36. What is the closest to 0 in m, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/11, 39, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -313130020103303 + -11?\nAnswer: -313130020103320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22267987\/144 + -154638. Calculate the common denominator of 125\/24 and d.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.21522535 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 213*v**3 - 5*v**2 - 7*v + 19. Let r be i(4). Suppose -5*p - 13531 = -5*n - 7*p, -4*p - r = -5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*a - 12 = 53*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -124 - -121. Let d be (w\/(-9))\/((-66)\/63 + 1). Let c(y) = 6*y + 49. Let t be c(d). Calculate the highest common divisor of 84 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0\/6)\/(-3 + 2). Suppose -4*g = 4*g + 8. Sort g, -5, y in increasing order.\nAnswer: -5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0071588309 rounded to five dps?\nAnswer: 0.00716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(6\/3)*-1. Suppose -f*p - 313 + 1191 = 0. Suppose 205 = 4*s - p. Calculate the remainder when s is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1227.2968 + 1227.3. Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**3*o*o**(7\/3)\/o assuming o is positive.\nAnswer: o**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 4 = 3*f, 744 = 5*f - 10*f + 764 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and -0.07.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9.7 + -10.2. Let h = b - -21. Let z = h - 1.068. Round z to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1235, -1248, -1269, -1298, -1335, -1380, -1433?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/(-182)*(427\/(-42) + 8). What is k in r*k**2 + 2\/3 - 3\/4*k = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v. Let q(c) = 20*c + 30. Let n(t) = 15*k(t) + q(t). Let z be n(-4). Calculate the greatest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -322, -667, -1092, -1639, -2350, -3267, -4432, -5887?\n\"Answer: -7*s**3 + 2*s**2 - 302*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 153682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of 55*w**5 + 145*w**4 + 1691*w. What is the third derivative of z(r) wrt r?\nAnswer: 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**2 + 12*g - 37. Let i be q(8). Is 7 a factor of (i\/10*-3)\/((-12)\/(-272))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.575697 years to decades.\nAnswer: 0.0575697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 24.3 times 0.05721?\nAnswer: 1.390203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003753018 to six decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3181897 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 1108*y**2 - 167302*y - 852. Determine q(151).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -15667, -30456, -44421, -57556, -69855, -81312?\n\"Answer: u**3 + 406*u**2 - 16014*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f - 5*r - 65 = -5*f, 4254*r - 4258*r + 2 = 2*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-3984)\/192)\/(-83)*(-4)\/10)\/((-9)\/(-84)).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 213287924 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (s + 3 - 3)*(-3 + 3 - 1 + (2 - 2 - 3)*(4 - 3 - 3) + 2 - 5 - 1) to n*s + w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (6*2\/(-30))\/(1872\/10800)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 18*y**3 + 2*y**2 - 429*y. Let s(a) = 105*a**3 + 13*a**2 - 2576*a. Let u(r) = -26*j(r) + 4*s(r). What is the second derivative of u(d) wrt d?\nAnswer: -288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -357283, -714479, -1071587, -1428607, -1785539?\n\"Answer: 44*j**2 - 357328*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 203 + -30. Suppose 5*h = -2*x + b + 43, 0 = 5*x - 5*h - 610. Suppose x = 3*f + 28. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -532 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -70.967 - 0.033. Let r = 70.6 + z. Which is the smallest value? (a) -5 (b) -0.2 (c) r (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 1, -2, 4, -4, -1003 in decreasing order.\nAnswer: 4, 1, -2, -3, -4, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*i - 48*i + 48 = 0. Suppose -5*c - 139 = -624. Let p = c - 13. What is the highest common factor of i and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 376396384 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12*14\/84)\/((-203)\/(-7))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5 - ((-3)\/(-1) + -1). Suppose -o*p - 9 + 18 = 0. Suppose -p*u - 3*g + 643 = -7*g, -4*u + g = -840. List the prime factors of u.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*n + 5*n - 2*n)*(4*n + 4 - 4) - 3*n**2 + n**2 - n**2 - 2*n**2 - n**2 - 5*n + n to the form r*n**2 + x*n + i and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 35 - 32. Sort w, 0.3, 1\/10, 0.5 in descending order.\nAnswer: w, 0.5, 0.3, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 6*j**3 - 3*j**2 + 2. Let y be g(-2). Let d be (y\/20)\/(2\/5). Let z be (-12)\/((3\/14)\/((-30)\/(-210))). Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the third derivative of 7*s**5\/30 - 17*s**4\/24 - s**2. Let h(q) = -q**2 - 8*q + 6*q**2 + 2*q. Calculate -6*f(x) + 17*h(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/9 - (-24)\/18. Suppose 3*n = -h + 15 + 5, 5*h + l = 2*n. Suppose 3*t = 6*t + n. Let i(o) = -o**3 + 2*o**2 + 2*o + 2. Calculate i(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 - 84*w + 225.\nAnswer: 3*(w - 25)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 12) to base 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find f such that f**3 + 488*f**2 + 64555*f + 2575500 = 0.\nAnswer: -303, -100, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 7472.\nAnswer: 747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15309 and 43306974.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -27478, -27472, -27452, -27412, -27346, -27248, -27112, -26932?\nAnswer: -26702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -5684 (base 9) to base 15\nAnswer: -13a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.3 + 0.3. Let a = -69 - -64. Put t, a, 4, -3 in descending order.\nAnswer: 4, t, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2438 and 3791726?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2126832 a multiple of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 8*g. Let u be -1 - (-6 - -3 - -1). Suppose -6 + 28 = m. What is the remainder when m is divided by k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the second derivative of 2*d**7\/105 + d**4\/8 + d**2 - 4*d. Let h(v) be the first derivative of p(v). Find the second derivative of h(s) wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 417875.3 millennia in months?\nAnswer: 5014503600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 2077, 4130, 6147, 8122, 10049, 11922?\n\"Answer: -u**3 - 12*u**2 + 2096*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/(s*s*s**(-9))))\/(s\/((s*s**11)\/s)))**(-29) assuming s is positive.\nAnswer: s**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, c: 10, o: 6}. Give prob of picking 3 c.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*s + 0*s + 176 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -3*c**3 - c**2 - c. Let b be w(-1). Suppose -12 = -b*s - 0*s. Suppose 0 = -2*d - 2 + 6, -o - s*d = -24. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of r**5\/20 - r**4\/12 - r**3\/3 + 9*r**2\/2 - 28*r. What is the units digit of z(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1088) + -5 + 1)*4.\nAnswer: -16 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10564 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - -5. Suppose -b*g - 7 + 32 = 0. What is the second biggest value in -3\/8, 11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8694 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-54*g - 26*g - 100*g + (-2*g + 4*g + 0*g)*(-3 - 2 + 3))*(1 + 0 + 2) to the form s*g + n and give s.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.17 + 0.07. What is the nearest to i in -3\/4, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 - -1. Let t = -26 - -18. Let v = 13 + t. Which is the second smallest value? (a) i (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -509*v - 5351 = -10950 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 275719112 and 11632?\nAnswer: 5816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21033 + -21032. Are p and 1\/3268 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 222833, 222716, 222517, 222230, 221849, 221368?\n\"Answer: -h**3 - 35*h**2 - 5*h + 222874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0182724 less than -0.2?\nAnswer: -0.2182724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -3) + (-2 - -7) + 374 + -370?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 9 = -1. Suppose -16*c + 30 = -11*c - 2*u, 2*u - 24 = -4*c. Calculate the greatest common factor of q and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = m - 5*m. Let l be (0 + m)\/((-3)\/(-9)). Suppose -3*n + 9 = l. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 987942.4 centuries to millennia.\nAnswer: 98794.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(1\/2))\/w**(-3\/8))\/(w**(5\/7)*w**(-1)))\/((w*w\/(w\/(w\/(w\/(w*w**(-2)))))*w*w)**(-18)*w**0*w**(3\/2)) assuming w is positive.\nAnswer: w**(2053\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {g: 2, q: 1, m: 1, t: 1, a: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -15 + 15 + -18 + 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 12) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zdrd when four letters picked without replacement from {b: 6, z: 1, d: 5, r: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 6 = 4*f. Solve -3*k = -f*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**3 - 8*q**2 - 10*q + 18. Let a(h) = h**2 + 3*h. Determine -3*a(w) - c(w).\nAnswer: 2*w**3 + 5*w**2 + w - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6147.424 litres in millilitres?\nAnswer: 6147424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((1*sqrt(77) - sqrt(77))*4 - (-1*sqrt(77) + sqrt(77))*-4)*4)\/(((sqrt(132) + sqrt(132)*-2)*-4)\/(sqrt(300) + sqrt(300)*-2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**15*j**7*j assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 2*v + 1, -13*j + 15*j - 16 = 2*v. Let q(u) be the second derivative of 0*u**2 - 1\/6*u**j - 5*u + 0. Let x(k) = 13*k. Determine q(x(m)).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -b + 130, -3*b - d + 373 = 4*d. Suppose -f = -18*j + 13*j - 19, -3*j - 17 = -f. What is the greatest common factor of b and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -33347\/15 - -2220. Calculate the common denominator of 50 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -617, -524, -417, -290, -137, 48, 271, 538?\n\"Answer: y**3 + y**2 + 83*y - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1a (base 16) in base 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t + 12*t = 2*l + 17, -5*l + 10 = 0. Solve -5*h + t = -2*x - 4, -5*h - 3*x = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11508 + -3884. Does 88 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -4 (c) -0.5 (d) 1406.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f + 0*f + 0*f)*(65 - 193*f + 356*f - 158*f + 4*f + 3*f - 4*f + (5 - 3 + 0)*(1 + 2*f - 1) + f - 3*f + 3*f).\nAnswer: -26*f**2 - 130*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 9*c**2 + 363*c + 14. What is f(15)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*d**2 - 1143981100*d - 381327032.\nAnswer: -4*(d + 95331758)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/190 and -19\/4380?\nAnswer: 83220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 8*j**5 - 7908*j**4 + 2326908*j**3 - 173675356*j**2 - 276353556*j + 797486544 = 0.\nAnswer: -3, 3\/2, 116, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -86 = 32*y + 74 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 969711457 to the nearest integer?\nAnswer: 31140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 5595 by -373.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 2 = -18. Suppose -58 - 9 = -i*h - a, -h + 5*a = -1. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + -26. Let x = -128\/5 - s. Let c = -25 + 25. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -424*f**2*t**3 + 38765*f**2*t**2 + 2*f**2*t - 5*f*t + f - t**3 + 16*t + 4787 wrt f.\nAnswer: -848*t**3 + 77530*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 1689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -60.9 + 59.9775. Let y = p - 0.0775. What is the nearest to y in -4\/7, 0.21, -3, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 4 (b) -9 (c) 0.4 (d) 0.07839\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, 4, 1, 1\/1223, 2\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8423851*r + 13088368 wrt r.\nAnswer: -8423851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*p**2 - 100*p + 108 = 0 for p.\nAnswer: -27\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 430 and -0.2582.\nAnswer: -111.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 16*z - 213. Determine l(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -257 + 257.305. Let r = t - -1.695. Which is the nearest to -0.3? (a) 0.4 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(84)\/((sqrt(12) - (sqrt(12) - (sqrt(12) + -4*sqrt(12))))*-3).\nAnswer: -4 + sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 800 = -2*r, 20*a + 1200 = 3*r + 18*a. Calculate the remainder when r is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p - 3*p - 36. Let w(x) = -x**3 - 11*x**2 + 10*x + 24. What are the prime factors of w(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) 0.3 (c) 5 (d) -3\/13 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*k**2 - 16*k**2 + 33*k**2 + (-2*k - 4 + 4)*(4*k - k + 0*k) to o*k**2 + n + r*k and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 9 = -3*v - 14, 2*v = 5*i - 27. Sort 0, -2, v in descending order.\nAnswer: 0, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-7) - (-138)\/(-7). Let w(v) = v**2 + 3*v + 2. Let b be w(-3). Is 12 a factor of ((-48)\/n)\/(b\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n + 11. Let g be m(6). Let h(x) = x**3 - 3*x**2 - 3*x - 6. Let t be h(g). Let i = t + -1. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*t**3 + 709 - 34*t**3 - 7*t**3 - 709.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 17285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4930804 and 23788?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 0.16907 greater than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 5. Suppose -10 = -b*c, 5*f - 2*c = -c. Let v be f + 3\/6*-2. Which is smaller: v or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/9180 and -7\/6060?\nAnswer: 927180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/3, 674131, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-35))\/(13*25\/(-2275)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24 + -16. Suppose 0 = -70*c + 69*c - 5. Let s = a - c. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 140*p + 143*p = -27, -30 = 3*t + 2*p for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95560000 = 2*c - 3*m, 5*c - 9*c + 191120000 = 3*m. What is c rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -4*l + 2. Let m be r(0). Which is the closest to m? (a) -10 (b) -5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -941083.04 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 60*f**2 - 11*f**2 - 21*f**2 - 6 - f. Is 12 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 986270?\nAnswer: 2, 5, 98627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -282975 by -75.\nAnswer: 3773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -72 = -5791*i + 5779*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 13030 (base 4) to base 3.\nAnswer: 122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -y - 3*d, 5*d - 36400 + 36393 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 575 a factor of 432975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the second derivative of o**4\/4 - o**3 + 4*o**2 - o. Let g = 91 + -83. Is 24 a factor of r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 988783 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + z - z**2 + 3*z**3 + 2*z**4 + 43*z**3 + 9*z**3 - 51*z**3 as y*z**3 + q + n*z + d*z**4 + o*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 83148, 166302, 249460, 332622, 415788?\nAnswer: 498958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000122429505 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1773 + -1780 - (2 + 0 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 - 149 = -3*x. Let h = 76 + -76. Suppose h = 3*g - x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -81 + (-4 - -64) + (-1 - -56)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 3:40 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 77861026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -20 + 155 + -149?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the first derivative of 0*n**2 + 0*n + 37\/3*n**3 - 38. Let t(j) = 2*j. Give t(m(y)).\nAnswer: 74*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3157175 and -0.4?\nAnswer: 1262870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*r*w**3 + 15*r*w**2 - 3*r - 2*w**3 + 4 wrt r?\nAnswer: -9*w**3 + 15*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 7:38 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6359, 12731, 19093, 25445?\nAnswer: 31787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6080 is divided by 152.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 142064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -6*n + 9. Calculate the least common multiple of 4 and j(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2580 divided by -86.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + -4 + -2 + 3 + (-12 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 344967377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*c - 5*c - 7 + 0*c)*(-10*c**4 + 29*c**4 + 8*c**4).\nAnswer: 54*c**5 - 189*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, i: 4}. Give prob of picking 2 r and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48490.\nAnswer: 2, 5, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -66.155095798 + 66.155. What is n rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 38*g**4 + 7*g**3 - 3*g**2*p + 89*p + 8 wrt g?\nAnswer: 152*g**3 + 21*g**2 - 6*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 528460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -446665.77020406 - -446706.5702. Let a = o - 40.8. Round a to 7 dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 7 = -4*o, 5*o + 1 + 1 = -a. Let j(b) = b**3 + 15*b**2 + 5*b + 78. Let f be j(-15). Does f = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 55, 7\/6, -3, 0, -1\/2, -2\/433, -4?\nAnswer: -2\/433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 10053491053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-18)\/(-27)*(-6)\/20. Let a = 32.1 + -32. What is the second smallest value in g, a, 0.4, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, 34 in descending order.\nAnswer: 34, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 51*(18\/108)\/((-2)\/8*-1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -57 + (-25 - -30) - -42?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be -7*2*(-9)\/42. Suppose -725 = -p*v - 2*v. Let w = v - 97. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -383135 divided by -5.\nAnswer: 76627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10 + (-9 - -4 - -1). Let t(v) = -v**2 + 4*v. Determine t(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 12\/7*t - 2\/7*t**2 + 494\/7 = 0. What is t?\nAnswer: -13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 241400 is divided by 34481?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is b in -7*b**5\/6 - 44872808*b**4\/3 - 8547199*b**3\/2 + 44872808*b**2\/3 + 12820802*b\/3 = 0?\nAnswer: -12820802, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 + -9. Let t = d + -6. Let q = 2\/5537 - 5553\/44296. Put 4, t, q in descending order.\nAnswer: 4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 + 9*n - 14. Let x be t(7). Suppose -s = -2*b - x*s, -b + 4*s = 7. Factor -b + 2*q + 16*q**2 + 6 - 5.\nAnswer: 2*q*(8*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 59*b + 65. Let f be k(-1). Solve q + f*p - 11*p + 13 = 0, -5*q = 5*p + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 58 + -42. Calculate the highest common divisor of 160 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 84 = 14*f + 112 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 161534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 3 - 0. Let n be ((-8)\/(-12))\/(a\/(-3)). List the prime factors of n\/7 - 100\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -100*u**3 + 4*u**2 - 8*u - 15. Let m be y(-5). Suppose 0 = -4*d + 3*x - 0*x - 25185, m = -2*d - 5*x. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1, -23, 7489, -5\/2, 2, -0.3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 47429 plus 16554?\nAnswer: 63983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16\/359 - -22697\/1795. Let i = y - 874\/15. Let w = 45 + i. Which is the biggest value? (a) w (b) -0.5 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4\/(-6))\/(2\/3). Suppose -5 = 4*c + 19. Let h be c\/(q + -2 + 2). What is the highest common divisor of h and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v + 5*v + 104. Let o = -97 - v. Suppose -12*h = -o*h - 3*p + 10, 4*h - 9 = -p. Which is smaller: h or -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23 + 29*n - n**2 + 0*n**2 + 6*n - 22 to the form w*n + c*n**2 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*1221.\nAnswer: -122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 212*o - 1308*o - 1664*o + 6634 = 557*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(78)\/sqrt(2) - sqrt(39)))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence prp when three letters picked without replacement from {e: 7, t: 2, r: 4, q: 1, p: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -91, -83, -73, -61, -47?\n\"Answer: h**2 + 5*h - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * -283.\nAnswer: -84.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:00 PM and 8:46 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2*u**2 + 6*u + 6. Let r(c) = -c - 1. Let f(z) = -k(z) - 6*r(z). Let i be (1 + 1 - 0)*2. Let v(x) = x - 3*x + i*x. What is f(v(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 - 10. Let o = 2 + -1.9. What is the third biggest value in s, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 38*h**2 - 32*h - 2. Is 4 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pyqyrger. What is prob of picking 1 g, 1 e, and 2 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 PM and 3:13 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54\/(-243))\/((-2)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 + (-525)\/(-77) - (-2)\/11. Let f(y) = 3*y**3 - 15*y**2 + 6*y - 10. What are the prime factors of f(c)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 143960530 to the power of 1\/2, to the nearest integer?\nAnswer: 11998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -2. Let g be 9\/3 + 145 + s. Suppose -8*r + g = -4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -12\/3589?\nAnswer: -12\/3589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -125*j + 3077279 + 303096. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 5 - 4*k**2)*(-6 - 11*k + 6)*(1 - 1 - 2*k) to the form m + q*k**4 + r*k + p*k**2 + a*k**3 and give q.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 27\/32 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = -l - 20. Suppose l*n + 5 = -7. Let p be 1\/2*2*3. Sort p, n, -5 in increasing order.\nAnswer: -5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17446759.\nAnswer: 11, 71, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2324.6892 and -0.02.\nAnswer: 46.493784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 3*t**2 - 5*t + 4. Suppose 3*w = 5*i - 24, 0 = 2*i - 0*w + 4*w + 6. Suppose -38 = -i*s + 55. What is the remainder when s is divided by m(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 480*g**2 - 141*g**3 + 241*g**3 - 424*g**2.\nAnswer: 100*g**3 + 56*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 346703538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 AM and 3:35 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 21213, 21283, 21543, 22089, 23017?\n\"Answer: 16*d**3 - d**2 - 39*d + 21237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-30)\/(-4) + 10\/20. Suppose 0 = -v, 0 = 3*s + 5*v - 7 - o. Solve s*y = -20 - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4.66 + -0.56. Let y = 0.9 + u. Which is the third smallest value? (a) -5 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -40 - -40. Let x(c) be the third derivative of 2*c**2 + 1\/60*c**5 + o*c**4 - 1\/6*c**3 + 0 + 0*c. What is the derivative of x(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 150 = 9*n. Suppose -22*x + 28 = -n*x. Solve x*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 9:14 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:51 AM and 12:47 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4664 is divided by 2323?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -8*h**2 - 21*h - 69. Let d(p) = -8*p**2 - 20*p - 84. Let l(t) = 5*d(t) - 6*n(t). Determine l(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ypppppppppyppypyyp. What is prob of picking 1 p and 1 y?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(764\/6303) - 0\/(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6.24 - 1.14. Let q = d - 0.1. Which is the second biggest value? (a) -2\/9 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*k + 9*q - 6*q, -2*k - 2*q = -8. Let v(w) = -w**2 + w - 1. Let p(c) = 3*c**2 - 3*c - 1. What is k*v(f) + p(f)?\nAnswer: f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Are 953\/4 and 239 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mta when three letters picked without replacement from {a: 1, m: 2, e: 4, t: 10}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -29 (c) -0.1 (d) 0 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -172*j = -178*j + 300. Let k(s) = -s**3 + 71*s**2 - 91*s + 123. Is k(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + 0 - (-33 + -965). Is -26*(8 + i\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -2*j**2. Let z = 69 - 67. Let l(b) = b + 4. Let c be l(0). Let d(n) = -2 - c*n**z + 2 - n**2. Calculate d(f(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -13*d**3. Let k(i) = -52*i**3. Determine 3*k(b) - 13*v(b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 2 - -26 - 2 - (0 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -40*i + 21. Is 4\/451 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*m - 108 + 309 - 113 - 88.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the third derivative of f**4\/24 + f**3\/6 - 10*f**2. Let d be u(-1). Suppose d = -3*j + 7 + 5. Solve j*c = 3*t - 2, -5*c + t + 3 = 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -31 + 64. Calculate the remainder when 65 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10836 and 6804.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 + 12. Suppose -3*s - p - a = 0, 0*s + 4*p = 4*s. What is the units digit of (-5)\/(-2) - (-1)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-13)*d**(-13))**(31\/5) assuming d is positive.\nAnswer: d**(-806\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the first derivative of j**7\/2940 + j**6\/1260 - j**5\/84 + j**4\/28 - 4*j**3\/3 + 4. Let p(t) be the third derivative of w(t). Factor p(z).\nAnswer: 2*(z - 1)**2*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -30733 divided by -1\nAnswer: 30733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 478 = f, 4*u = -4*f + 15 + 377. List the prime factors of u.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.374785 litres in millilitres?\nAnswer: 1374.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7100 and 357130?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 5 = -5*i, 3*i - 348 = 25*r - 613 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 92430, 184901, 277372, 369843, 462314?\nAnswer: 554785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 21249*p - 162. Let w(i) = i**2. Calculate d(w(m)).\nAnswer: 21249*m**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of -2*w**5\/15 + w**2. Let l(n) be the third derivative of -2*n**5\/15 + n**2 + 1019*n. Give l(f(u)).\nAnswer: -512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of 7*m**8\/144 - m**7\/5 + 109*m**6\/360 - m**5\/5 + m**4\/18 + 7*m**2. Factor d(s).\nAnswer: s*(s - 1)**2*(7*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - -4 - (1 + -5). Solve 0 = 4*h + g - 18, 0 = j*h - 4*h + 5*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 512, 510, 508?\n\"Answer: -2*a + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 36 = -4*x + 9, -2*b = -x - 3. Sort x, 5, -2, 4 in ascending order.\nAnswer: x, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -13. Let z be ((-15)\/(-25)*w)\/(1\/87). Suppose 3*b + 5*f - f - 296 = 0, 3*f = 3*b - z. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 374868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11.9927 - 0.0073. What is the fourth smallest value in 3\/7, -0.1, -5, p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i + 2. Let y be h(1). Let w = 2\/85 + 156\/595. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, f: 10, t: 5, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 + 4*j - 1. Let p be i(-5). Let s(l) = -3*l**2 + 5*l**2 + 2*l + 0*l**2 - l**2 + 2. Let b be s(0). Solve -3*h = -p*z - b, 0 = 2*h + 2*h - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in twenty-one halves of a day?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7.32 - -8.32. Let q = 0.1 + -0.1. Let f = 37\/24 + -7\/8. What is the third smallest value in -0.5, f, p, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -25*u**2 + 758990*u + 303600.\nAnswer: -5*(u - 30360)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**4 - 5158*k**3 + 51434*k**2 - 138762*k + 92484 = 0 for k.\nAnswer: 1, 3, 6, 2569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**3 - 12*b**2 - 15*b + 16. Let a(p) = -p**3 - 1. Let t(f) = -2*a(f) + q(f). Let k be t(13). Is (1 + 0 - -1)*(-1796)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4799 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/(t\/(t\/(t\/(t\/t**(-1\/14))*t)))*t**7)**(-1\/3))**32)**(-31) assuming t is positive.\nAnswer: t**(16368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from bybyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-6)*z**(-7\/3))**(-21) assuming z is positive.\nAnswer: z**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t**2 + 3 - 3)*(-11*t - 13*t - t**3 + 19*t).\nAnswer: 3*t**5 + 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/1 + 6\/(-2). Let c = 4 + t. Suppose 4*x = c*x + 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 - (-12 - (0 + -3) - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 16*d + 1848 = 0. Let z = -23347 + 933773\/40. What is the common denominator of d\/42 + 79\/(-2) and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004307 to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 1037 = -3*v + c, 5*v = -c + 1043. Let k(r) = 118*r - 3. Let a be k(4). Suppose -g = 5*t - v - a, 548 = 4*t + 4*g. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y = -5*p - 10, -1107*p + 1106*p + 27*y = 130 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkr when three letters picked without replacement from bbbkkbrakbkbbbkk?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 15*u - 1. Let o be b(5). Suppose 0 = -5*l + 11 + o. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = 32 - 44. Suppose b + g = 5, -4*b + 26 = 2*r. Is r at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109908672 a multiple of 2416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -1032 * -0.08095.\nAnswer: 83.5404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 225417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1.15635+10.82\nAnswer: 11.97635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 - 8*t + 12. Let h be r(-9). Let z = 11 + h. Suppose -4*y + 3*c + 35 = 0, 0 = -3*y + 5*c + z + 26. Solve y*b + 2*p + 5 = 4*p, p = 2*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/121368 and 26\/21.\nAnswer: 849576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1907 - 152 = 9*f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (56\/(-21))\/((-24)\/(-9) - 3). Suppose 4*o + w*q = 7*q + 218, -o + 60 = 3*q. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32, -5, -42?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/12392 and 61\/263330.\nAnswer: 1053320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are 964053 and 964064 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-2*sqrt(13) + sqrt(13) + (-1*sqrt(143) + sqrt(143))\/sqrt(11).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q - 116 + 1075 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 165 = 4*t, -280 = -2*o - 3*t + t. Suppose -5356*u + 5365*u = -90. Calculate the least common multiple of 16 and 1 + (-312)\/u + (-29)\/o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 69390662720 and 0.1?\nAnswer: 69390662719.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(45))**2*-4 + (sqrt(5) - -1*(sqrt(5) - sqrt(5)*-2)))*6.\nAnswer: -1080 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1 plus 53.6?\nAnswer: 52.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 4*b + 4. Let m(h) = -3*h - 5. Calculate 5*i(v) + 4*m(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together -1.186 and -47.\nAnswer: -48.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.326 - -135.326. Let m = -135.77 + v. Round m to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -1, -58, -2\/9 in increasing order.\nAnswer: -58, -25, -1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b**5\/4 - 129*b**4\/2 - 215*b**3\/4 + 9*b**2 = 0 for b.\nAnswer: -36, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 9:41 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 5028193.\nAnswer: 1\/5028193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 567 and 16212.\nAnswer: 437724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 5 = 8*j - 3*j, 5*j = -10. Let n be 2 - 1 - (-4 + 4). Put s, 5, n, 0 in decreasing order.\nAnswer: 5, n, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3758*h + 228 - 228 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j + 6*j = -33. Let k = -15 + j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express u**4 - 302 + 2*u**4 + 5845*u**3 - 5843*u**3 in the form a*u + j*u**3 + d + h*u**4 + f*u**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k**2. Let u(a) be the first derivative of 0*a + 4\/3*a**3 + 0*a**2 + 5. What is u(z(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -118, -123, -128?\n\"Answer: -5*k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q - q + 5*q)*(-3 + 5 + 5)*(-2 + 4 - 1).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ririrerireekrekrnir. What is prob of sequence iiei?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11\/66)\/(4303\/(-1716)*11).\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 5. Let v be -1*(-1)\/(h\/(-63)). What is the common denominator of v\/56 + -2 + 5 and 54\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {v: 1, p: 1, u: 1, l: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 160 + -159. Suppose 0 = -2*i - 5*y + d, 11 = 4*i - 2*y - 3. What is the highest common factor of 9 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 4*k**2 + 21*k - 46. Let l(p) = 7*p**2 + 41*p - 90. Let d(g) = -3*l(g) + 5*q(g). What is d(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**3 - 276*r**2 - 486*r - 211355. Determine b(-277).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-5 + sqrt(432)*2)*-3 + -3)*-4*-4)**2.\nAnswer: -442368*sqrt(3) + 4018176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.207574 litres to millilitres.\nAnswer: 8207.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/(4\/4)*(-10411)\/718359?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1255 is divided by 311?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12067100 rounded to the nearest one hundred thousand?\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -110*d**4 - 4*d**3 - 1534*d**2 + 6 wrt d.\nAnswer: -2640*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 15817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m + 188 = 6*m. Let q = 209 + m. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10164 + -7?\nAnswer: -10173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 127, 125, 121, 115, 107, 97, 85?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((1\/(-10))\/(52\/(-520)))\/(2\/52)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88*j + 4884 = 23*j. Calculate the lowest common multiple of 18 and j.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9101\/1143 + -33\/127. Find the common denominator of -33\/7 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20000 + -19661. Calculate the remainder when 736 is divided by y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -16099\nAnswer: 2\/16099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -23536115, 5, -60 in decreasing order.\nAnswer: 5, -60, -23536115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 567*m - 8509. Give d(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be 188\/36 + (-2)\/9. Sort -5, -1, z, 0 in ascending order.\nAnswer: -5, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5951*y + 5950*y + 5945*y + 2*y**2 - 29708*y + 5918*y + 5944*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 5*v - 2. Let m(h) = h - 1. Let o(l) = -2*m(l) - z(l). Let a be o(-3). Suppose 4*c - a = 63. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 6*k**2 + 43*k + 62. Give m(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 441162 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 5*q - 1. Let j(p) be the first derivative of -9*p**2\/2 + 2*p + 4. Give 5*h(i) + 3*j(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in thirty-seven halves of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3590918203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2638*i - 2638*i + i**3 - 951*i**2.\nAnswer: i**3 - 951*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24453 and 224004.\nAnswer: 165986964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-21)\/12 - -1)*32\/40.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/5, 5, 3\/5, -1.821, -0.7, 0, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -126110 (base 8) to base 3\nAnswer: -2020111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 947258 is divided by 1444?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 305 a factor of 77540670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 140 = -4*n + n, -5*c - 20 = -n. Calculate the remainder when 42 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 - 8*d - 14. Let s be x(9). Let i(o) = -1. Let f(c) = 5*c + 5. Calculate s*i(q) - f(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 31.4131 + -32.18. Let l = -0.01 - -0.78. Let c = x + l. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162 is divided by 148?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be -86*(4 - 18\/4). Let c = j - -45. Suppose -6*w + 10*w - c = 0. What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 11 - -2 - (-3 - -4). Suppose -n - 3*n + u = 0. Solve 12 = -c - n*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -65*z**3 + z**2 + 50*z + 107. Let v be q(-2). Calculate the highest common divisor of v and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -32*(-1)\/(4\/(-3356)). Let r be w\/44 - 6\/(-33). What is r rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -345 - 3*p + 690 - 321.\nAnswer: -3*p + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 144465*t**3 + 3*t**2 - 2*t + 2326 wrt t?\nAnswer: 866790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 - 9*d**2 + 22*d + 237. Calculate j(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 518910828 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(2156) + 0 - (1 + sqrt(2156) + 1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 36 - 34. Let s = f - 7. Which is the third smallest value? (a) s (b) -2\/3 (c) -1 (d) -0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22657 - -79640. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 + 6*o - 5. Let k be v(4). What is the nearest to k in 0.3, -3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1812 + -1292. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3029 (base 15) to base 16.\nAnswer: 27b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -38, -3\/5, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -249 = -88*q - 113*q - 48*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 + 11*l - 14. Let h be q(-10). Let u = -27 - h. Let y(m) = -m**3 + 3*m - 2. Does 4 divide y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16023189 is divided by 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 938860.7 years in centuries?\nAnswer: 9388.607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2d9 - 130?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-3)\/i**(-9)*i\/(i\/i**5)*i**(1\/2) assuming i is positive.\nAnswer: i**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 51 = -0*z - 4*z, -2*z + f = -25. Let k be 2\/((-6)\/9) + 1. What is the lowest common multiple of ((-3)\/(-2) + k)*-4 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27124700, 54249399, 81374098?\nAnswer: 108498797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 9.973122 minutes?\nAnswer: 598.38732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2 + 2727*f + 5711620.\nAnswer: -(f - 4115)*(f + 1388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 - 4*j**2 - 23*j + 17. Let y be n(7). Suppose 0 = 2*h + 13 - y. Let q(t) = -t**2 + 1. Calculate q(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in -1961*r**3\/2 + 2003*r**2\/2 + 12045*r + 648 = 0?\nAnswer: -3, -2\/37, 216\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -6*p + 87. Determine x(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -4*h - f, 0 = h - 6*h - 2*f + 10. Which is the second smallest value? (a) -4 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 + ((-6)\/9 - 3690\/378))\/(-2).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 93, -970, 76, 1 in descending order.\nAnswer: 93, 76, 2, 1, -970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 - 20*k + 39. Calculate o(-16).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - 4, -5*d - x + 21 = -0*x. Let m be (-2 + 11\/d)*-2. Sort 0.4, m, 2\/23 in increasing order.\nAnswer: m, 2\/23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 114*f**3\/7 - 29469232*f**2\/7 + 272066375446*f - 66823284004\/7.\nAnswer: 2*(f - 129251)**2*(57*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -571164 (base 8) to base 15.\nAnswer: -3c360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2284809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5062356 to the nearest integer?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u**3 + 2*u**3 - 2*u**3 - 3*u**3 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 67379062, 134758121, 202137180?\nAnswer: 269516239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -35495271 - -35495115.00077. Let j = x - -156. 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: Let o(f) = 2*f**2 + f + 5. Let i(h) = -2 + 0 + h - 2*h**2 + 6 + 4*h**2. What is 4*i(s) - 3*o(s)?\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -298584407*g**2*q - 333858510*g**2 wrt q?\nAnswer: -298584407*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 6:22 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1603.33 - -11.33. Let g = -1592.000000939 - a. What is g rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.5 + 0.9. Let y = d - 0.27. Let u = -1.13 + y. What is the third smallest value in 3\/5, 0.2, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0*(1 + 0 + 0). Suppose -15*j + 4 + 26 = x. Suppose -4*o + b = -j*b - 602, b - 154 = -o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 8:24 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the second derivative of -3*b**4\/4 + 9*b**2 - 233*b + 1. Let r(h) = -8*h**2. Calculate y(r(c)).\nAnswer: -576*c**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 1:47 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(8\/9)*h)**(-43) assuming h is positive.\nAnswer: h**(-731\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3862*k - 15950*k + 12091*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 668 = 4*r, 9*p + 553 = 13*p + 3*r. Calculate the highest common divisor of p and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -9 - 3*o + 2*o + 4*o + 6*o - o**2. Let r be c(7). Suppose -r*x + 0 = -10. Solve 4 = s, -3 - x = -5*v + 5*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 13 - h - 8 - 5. Let p(i) = -13*i**2 - 21. Let r(g) = 3*g**2 + 5. Let z(w) = -2*p(w) - 9*r(w). Give s(z(u)).\nAnswer: u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 382 + 2?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 57 divided by -3507?\nAnswer: -19\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3717 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1285\/25 + 9282\/(-182).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -309 = 13*z + 20*z + 285 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16416 - 16399. Let t(i) = i**3 - 21*i**2 + 70*i - 32. What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + (9 + (-189)\/18)*(9 + -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/(s**(2\/19)*s*s*s)*s))\/s*s*s\/((s*(s\/s**1*s)\/s*s)\/s))\/(s**1)**(6\/7) assuming s is positive.\nAnswer: s**(166\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 26878 and 534?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-542222)\/(-202122) + (-1)\/6. Let h = i - -1\/394. Calculate the common denominator of 67\/165 and h.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j**5\/2 + 16*j**4 + 172*j**3 + 800*j**2 + 1608*j + 1152 = 0. Calculate j.\nAnswer: -16, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add 2.685 and 4800.\nAnswer: 4802.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 784721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*41.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of p**4\/8 + 7*p**3\/6 + 3*p**2. Let l be c(-3). Is (-16)\/l - (4 - 5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.22 + -5.22. What is the smallest value in -96, -5, d?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 47053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 1892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -539, -1081, -1625, -2171, -2719?\nAnswer: -3269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 + 32*q**2 + 8*q - 61. Does 48 divide r(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 - 11412*s - 114107. Calculate i(-10).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + h + 5*s, 5*h - 4*s - 37 = 0. Suppose 3*y + 2 = h. Factor -y - q**2 + 2*q**2 + 2*q + 2 + 0*q.\nAnswer: (q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.00846 and 7620.331.\nAnswer: 7620.32254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 3*g - 3, v - g = -5*g + 14. Solve 2*n = t + 7, -2*n = 2*n + 2*t - v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -409, -810, -1211?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -1109 and -3913.\nAnswer: 4339517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1084440 = 94*p + 3430*p + 5313*p + 430502 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(4 + sqrt(76) + 5 - sqrt(76)) - 1*(5 + sqrt(76) + -4))**2.\nAnswer: -104*sqrt(19) + 752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**3 - 516*d**2 + 44376*d - 1272112.\nAnswer: 2*(d - 86)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 2\/(-3) + 10350\/54 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3955810?\nAnswer: 2, 5, 395581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:13 PM and 8:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k**3 + 90*k**2 + 825*k + 1250 = 0 for k.\nAnswer: -5, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 3380*k + 33796. What is u(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4959277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 - 20*f - 110. Determine w(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b - 9. Let c be s(9). Let j(f) = c*f - f - f. Let y(d) = d. Determine j(y(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1519 is divided by 415?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/31)\/(g**(2\/39)*g))\/(g**(3\/2)\/(g**(-13)\/g)) assuming g is positive.\nAnswer: g**(-39865\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -10 - (14 + -17 + 9)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2112 (base 3) to base 6\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 569 a factor of 80350691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 5c164 (base 16) to base 7\nAnswer: 3130450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004304606 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -43*n - 5. Let v be p(-5). Let d be (-85)\/v - (-2)\/4. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 591*v**5 + 33*v**4 - 2*v**2 + 479*v + 11012 wrt v?\nAnswer: 11820*v**3 + 396*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s + 5*t - 18326, -3*s - 4*t = -6*s - 18331. Let f = -61241\/10 - s. Find the common denominator of f and (-903)\/(-168) - 2*2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 644883.4 nanoseconds?\nAnswer: 0.6448834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be -40 - (-288)\/160*20. Let f be 16\/10 + 2\/5. Which is the closest to -2\/3? (a) l (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14819*c**3 + 14819?\nAnswer: -44457*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -5*i + 27. Suppose -3*t = 5*k + i, 3*t - 7*t - 5*k = 7. Suppose 5*b = f - t*f + 264, 3*f = 4*b - 196. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is (-263 - -52) + 68 + 77?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/322 and -89\/126.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 5890, 81, -1 in ascending order.\nAnswer: -1, 81, 5890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*g + 13*g - 8. Put g, -5\/7, 3\/2, 0 in descending order.\nAnswer: 3\/2, 0, -5\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 14 (c) -2\/9 (d) -0.3 (e) 37\/5 (f) 0.4 (g) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8.8 + -9. Let o = 7.2 + x. Let m = -7.000032 + o. Round m to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4617 - 4616. Is c less than 11\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -449, -771, -1093, -1415, -1737, -2059?\n\"Answer: -322*y - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from goxjf. What is prob of picking 1 f and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28207?\nAnswer: 67, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -66959197*y**5 + 1007926*y - 45 wrt y?\nAnswer: -1339183940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3007 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -861 - -1051. Calculate the least common multiple of n and 80.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*d**5 + 12*d**5 - 6*d**5 + (5*d - 4*d + d)*(3*d**2 + 2*d**4 - 3*d**2) + (4 - 4 - 2*d**4)*(5*d + 0*d - 2*d)*(-1 + 3 + 2).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2 less than -3433822?\nAnswer: -3433820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 13 = z + 4*g, 2*z - 26 = -5*g. Let k = 28 - z. What is the least common multiple of 9 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 358*w**6 - w**5 + 170*w**2.\nAnswer: 42960*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 51*g - 138. Suppose 24*p - 375 = -303. Calculate x(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 99 = 6*x. Let y be 38\/5 + -10 + (-94)\/(-10). Are x and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that 318*i**2\/17 - 33652*i + 3598\/17 = 0.\nAnswer: 1\/159, 1799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 PM and 6:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.004 + -112.004. Let n = -111 - k. Are n and 53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 360 + -359.9544. Let p = 0.2774 + a. Round p to 2 decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2)*(-2 + 3 - 8)*(65 - 141 + 63 + 4*i**2).\nAnswer: 56*i**2 - 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxn when four letters picked without replacement from {n: 3, x: 7, z: 2, b: 3, o: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 172 and 484?\nAnswer: 20812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29 - -31.25. What is h rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 3*y - 5. Let f(z) = -z**2 - 11*z + 16. Let n(o) = -o**3 + 7*o**2 - o - 5. Let i be n(7). Let m be f(i). Is 2 a factor of u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6007964 or 6007956?\nAnswer: 6007964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes before 5:12 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*j**2*z - 19*j**2 + 12*j + 3*z wrt j?\nAnswer: 6*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*v = -9 + 100. Let m(i) = 4*i**3 - 7*i**2 + 6 + 3*i - 5*i**3 + 14*i**2. List the prime factors of m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 10*m. Let q(x) = -12*x - 4*x - 1 - 2 + 51*x. What is c(q(f))?\nAnswer: 350*f - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gegeaaaaegaga. What is prob of picking 1 g, 1 a, and 1 e?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -341 (base 7) to base 3\nAnswer: -20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p + 25, -p + 43 = 4*t - 40. What is the lowest common multiple of 44 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1916891936 rounded to four dps?\nAnswer: -0.1917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1333551222?\nAnswer: 2, 3, 24695393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:18 PM and 10:54 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-8))\/((-129582)\/1472 - -88).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u - 3. Suppose -2*n = -0*n - 3*k - 2, 0 = 4*k + 16. Let c(x) = x + 5. Let f be c(n). Determine v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yykkuuuuuumyyyk. What is prob of sequence uy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 17*v + 372. Let h be z(-23). Let k(i) = -i**3 - 16*i**2 + 3*i - 26. What is the tens digit of k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -5*c**2 - 6. Suppose 10*h = 3*g + 22, -2*h - 3*g + 61 = 71. Let d(i) = -i**2 - 1. Let t be (-1*1)\/((-1)\/(-6)). Determine h*n(q) + t*d(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000244119 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 214936 plus 0.3?\nAnswer: 214936.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122 is divided by -4*(-45)\/(-120)*(-148)\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**3 - 12*a**2 + 46*a - 365. Give q(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156087 is divided by 988?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*v**2*w**3 + 4*v**2*w**2 - v**2 - 411*v*w**3 + v*w - 11*w**3 - 2*w**2 - 5326 wrt w?\nAnswer: -12*v**2 - 2466*v - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of -s**4\/4 - 7*s**3\/3 + 2*s**2. Let g = -541 - -537. Let o be a(g). What is the highest common divisor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -2*x + 8. Let d be s(7). Let i(y) be the third derivative of y**4 + 7*y**3\/3 + 343*y**2. Let v(p) = -5*p - 3. Give d*i(n) - 28*v(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 29 - 41. Let f(v) = -v**2 - 15*v - 6. Let r be f(u). Suppose 0 = -5*j - 3*a + 5 + r, 0 = 3*a - 15. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12936\/5 - 77617\/30. What is the third smallest value in 0.3, -0.68, 4, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -5*f - 2*i - i, f + 4*i = 14. Let p(q) = 2*q + 6. Determine p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21391, -21390, -21389, -21388, -21387, -21386?\nAnswer: -21385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 2*n**2 + 5*n - 3. Let d be p(3). What is the remainder when (-4)\/(8\/d)*-108 is divided by -33*(90\/(-108) - (-2)\/(-12))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, -1346, -1?\nAnswer: -1346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - 2*w + 2. Let n be c(4). Let y = 78784 + -78774. What is the greatest common factor of y and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*q - 3*s - 6, 3*q - 3191*s + 27 = -3187*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 + 2. Let m(x) = -x - 3. Let a be m(u). Solve -w + a*w = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (6\/(-10) - 0)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -2*a**2. Let h(w) = 20*w**2 - 4*w. Let n(q) = 19*q**2 - 3*q. Let i(f) = -3*h(f) + 4*n(f). Give i(y(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**0*l**(-2\/9))\/(l\/(l\/(l*l**(1\/2)))*l**4))\/((l**2\/l)\/(l\/(((l**(-5)\/l)\/l*l)\/l)*l))**(6\/11) assuming l is positive.\nAnswer: l**(-269\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 - -42?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bkbk when four letters picked without replacement from {g: 2, k: 3, b: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -396009456 by -47689.\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -3*m + 12 - 17, 0 = 2*g - 5*m - 29. Which is the smallest value? (a) g (b) 575 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*t**2 - 3*t**2 + 3*t**2)*(3*t + 3*t - 3*t)*(0 - 1 + 0).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -176*o - 217. What are the prime factors of w(-18)?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1140371 (base 8) to base 10\nAnswer: 311545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 + 8*u**2 + 85*u - 259. Let o be y(13). Let b = -15 - -61\/4. What is the nearest to o in b, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4.7, -15, -4, -0.058, 1 in ascending order.\nAnswer: -15, -4, -0.058, 1, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2355 less than 6?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 141988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13 and 210158?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((48\/20)\/3)\/((-5)\/(-25)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (4 + -14 + (7 - 13 - -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 235 and 2646335.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 42334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -c**2\/5 - 28*c\/5 = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -533577 + 533577 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.52456482 - 506.\nAnswer: -507.52456482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9566 is divided by 420?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = 5*a - 135348 - 49024, a = 0. Let s = -28686 + v. Let n = s + -31507. Round n to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134*b + 133*b = -128. Let c = 311 - b. List the prime factors of c.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/426 and (-4500)\/(-405)*(-60)\/(-32)?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 40 = 4*c. Suppose -3*m - 3*m = -6. Let x be 276\/60 - ((-6)\/15)\/m. Solve -6*y = x*o - y + c, -4 = -2*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**2 + 161*p + 6057. What is d(-101)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -772, -3075, -6912, -12283, -19188?\nAnswer: -27627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*k = 81*k + 805. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 290*f**2 + 307*f**2 - 1236*f**2 + 301*f**2 + 318*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 2\/5, 5\/4, 4, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12\/715 + 50813\/2860. Let w = -8\/1583 + -128143\/15830. Calculate the common denominator of f and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*6*-4*3*(sqrt(300) + -5 + sqrt(300) + -2) + 5)**2.\nAnswer: -52341120*sqrt(3) + 233123641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*s**3 + 73*s**3 - 37*s**3 + 96*s**2.\nAnswer: -s**3 + 96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*l**3*m**3 + 6*l**3*m**2 - l**3*m - 31*l**3 - 5*l*m**3 wrt m?\nAnswer: -12*l**3*m + 12*l**3 - 30*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**3 - 9*g**2 + 12*g. Let o(r) = -r**3 + 12*r**2 - 11*r - 1. Give 3*o(l) + 4*v(l).\nAnswer: 5*l**3 + 15*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -23 + 15 + (29 - 79)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -17*h**2 - 504 + 504 + h. Let d(v) = 9*v**2. Let u(b) = 7*d(b) + 3*j(b). Find the second derivative of u(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -6*u**4 + 2378*u**3 - 140414*u**2 + 930902*u - 1437660 = 0. What is u?\nAnswer: 7\/3, 5, 63, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/4*(-8)\/6. Suppose 3 = -c*y + 5. Suppose -q + y = -4. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4667 and 56363.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - 0.6. Let p = 297 + -296.9. Which is the closest to p? (a) 1 (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19.68 + -19.68. What is the third smallest value in j, 5, -44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 - -29 - (0 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 800372358 a multiple of 8334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -94.6 * 1.73\nAnswer: -163.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 + -3. Let i be r\/14*(-8)\/12. Let m = -0.04 - -4.04. Which is the closest to i? (a) m (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 266.3 - 261.3. What is the third biggest value in 0.12, g, 0.1, 6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 68, 3, -3, -0.6, 24\/49, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 43\/97 - 11359\/679. Let x = y + 16. Which is the closest to 5? (a) 0 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4760\/3 - -1565. Suppose 45*l - 84 - 861 = 0. Let p = l + x. What is the nearest to p in -0.5, 0.2, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**3\/23 - 44*o**2\/23 - 128*o\/23 + 5120\/23 = 0.\nAnswer: -10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - 3. Let m(l) = -6*l - 4*l**2 + l - 3 + 2*l**2 + l. What is m(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sr when two letters picked without replacement from ffxsskfrrs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - i - 12, -32 = -4*s + s - 5*i. Let m(x) = -x**2 - 3*x. Let r be m(-3). Solve r = u + s*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -14 - 1. Let p = q + -7. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 - 14*k + 30. Let i be o(12). Let r be (i\/(-5))\/((-6)\/255). What are the prime factors of -1 + r - 3\/1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300) + 1 - sqrt(300))**2 - ((sqrt(135) - sqrt(15)) + sqrt(15))\/sqrt(5).\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13559994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w**3 + 9*w**3 + 2*w**2 + w**2 + 3*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55*f - 55*f + 8*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 6, c: 3, m: 1, a: 2, p: 1}. What is prob of picking 1 p and 2 s?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w - 13. Let k be g(13). What is the units digit of ((-4)\/(-8) + k)*70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 34*a + 2 - 35*a - 2 as p*a + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 5122512 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -11*i - 2. Let f(r) = -3*r. Calculate f(k(l)).\nAnswer: 33*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 10 - ((-2 - -3) + 94 + -95)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qiqiiqqiiqqiq. What is prob of sequence ii?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 113014 (base 5) in base 9?\nAnswer: 5603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 35384695 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 57179044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y - 13*y**3 - 2*y + 2*y. Suppose 0 = 4*l + 13 - 25. Suppose s + 4*c = 2*s + 17, l*s + 23 = 5*c. Determine q(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 19*z - 207. Calculate w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 208689, 417351, 626013?\n\"Answer: 208662*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 252 = d + 4*v, d - 126 = 2*v. Let h be ((-8)\/(-36))\/((-15)\/d). Let y = h - -5\/3. Which is the third smallest value? (a) 5 (b) -3\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 + 10*b**2 - 6*b - 3. Let k(c) = 3*c**3 + 29*c**2 - 18*c - 9. Let f(q) = -17*j(q) + 6*k(q). Let g be f(-5). Solve 0 = p + g*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 - -13. List the prime factors of (-333)\/(-12) + s\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 213142?\nAnswer: 2, 19, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k + 5 - 7*k - 3. Let o(m) = m - 1. Suppose -25*t + 24*t - 1 = 0. Determine t*a(x) - 3*o(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**3\/5 - 988*z**2 + 4943*z\/5 + 9882\/5 = 0. Calculate z.\nAnswer: -4941, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 36 = 9*o. Suppose o*j - 11*j = -420. Suppose 0 = 4*d - 840 - j. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -140 - -149. Suppose 5031 = h*o + 819. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 5*k + 2. Let v be m(4). Let f = -10 + v. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34627 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + 3 + (-14 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-275)\/(-15)*(-138)\/(-115). Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m - 15, 14 = -a - 3*m + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -25679*s**2 - 87141?\nAnswer: -51358*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -u. Suppose -5*k - s - 26 = u, 0 - 6 = 2*k - 4*s. Put -1, 0, k in increasing order.\nAnswer: k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 1438*s**2 + 2. Let r(n) = n**2. Calculate r(c(z)).\nAnswer: 2067844*z**4 + 5752*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 462709635 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2c - 385?\nAnswer: -3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z + 18. Let u be d(-16). Solve -5*i - 73 + 23 = 5*r, 3*i = u*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the first derivative of 8*o - 2 + 6 + 1 + 3 - 8*o**2. What is the first derivative of b(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13.999961 + -14. Round u to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:52 AM and 7:45 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the second derivative of -y**4\/28 - 296*y**3\/7 + y + 2045. Let r(z) = 0. What is z?\nAnswer: -592, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000493635622 rounded to 6 dps?\nAnswer: 0.000494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001362 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2086, -4738, -7390, -10042, -12694, -15346?\nAnswer: -17998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 982413*l**3 - 2723277*l.\nAnswer: 5894478*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 40*c**3 + 13*c**2 - 63*c - 105. Is j(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2782*f**2 - 2*f + 17905 wrt f.\nAnswer: -5564*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of p**7\/1260 - p**6\/540 - p**5\/90 - p**3\/6 - 7*p**2. Let o(x) be the first derivative of w(x). Factor o(s).\nAnswer: 2*s*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11 and 8982793.\nAnswer: 98810723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 2. Suppose 4 = i - h*i. Suppose -12 = -4*b + o + 13, -b + 1 = 5*o. What is the greatest common factor of i and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from knnhmhhtnhom.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 457 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 979 (b) 90 (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 268186 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k = -3*k + 542700180. Suppose 5*n - n = -20, -5*u = -2*n - k. Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - -7. Let v(n) = 7*n**2 - m*n**2 + 0*n - 6*n. Give v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.04 + -7.04. Which is the second smallest value? (a) 3 (b) w (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 + n + 1. Let r(z) = -5*z**2 + 2*z + 1. What is 2*o(c) - r(c)?\nAnswer: 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(((-1*sqrt(204) + sqrt(204) - sqrt(204))*2)\/(-4*-2*sqrt(12) + sqrt(12)) + sqrt(2448)*1*5 + 1 + (sqrt(2448) - (sqrt(2448) + 1))**2 + sqrt(2448))*5.\nAnswer: -6460*sqrt(17)\/3 - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 2)*(2 + 6*x - 2) + 0*x - 2*x + 0*x + (-1 + 1 - 2*x)*(5 - 5 + 2) - 3*x + 2*x - x + (3*x - 4*x + 3*x)*(-1 + 0 + 3).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1111190981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 180256, -2, 4 in increasing order.\nAnswer: -2, 4, 180256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b - 5*a = -2*b + 60, 0*b + b + 4*a = -4 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -688 - 1024154?\nAnswer: -1024853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -587 + 877. Find the common denominator of t\/36 + 4\/18 and 133\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*y**6 + 4059*y**5 + y**2 - 2322 wrt y.\nAnswer: -1080*y**3 + 243540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1012 and 5611804.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -284650 or -853952\/3?\nAnswer: -853952\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -18992598 divided by 10779\nAnswer: -1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1649633 to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (-27 + 4)*(-4118 + (0 - 6) + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44044019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/2538 and -76\/27?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.86 + 180.86. Let g = 194.3 - z. Round g to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + 3. Suppose -d*x + 2*x - 2*p - 6 = 0, x = p + 3. Let r = x - 0. Solve 4*m + 2*o - 4 = r, -6*m + 4 = -2*m - 4*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**3 + 9653*b**2 + 125275*b - 590. What is c(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -245879463*f**3 - 152558124*f.\nAnswer: -1475276778*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - (-5 + 1 + 8) - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 988254615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(21)\/(-4*sqrt(7)).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3190*f - 964*f + 60*f)*(-2 - 1 + 11) to b + c*f and give c.\nAnswer: 18288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 292 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (294\/(-490))\/(1 + 71\/10) + 1246\/54.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5.3 + 20.3. Let r = c + -31. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2*1 - (-5 - 3). Suppose 3*j = d*j - 42. Suppose 0 = -n + 2*n - j. Solve 4*m - 2*a = 6*m + n, a = -2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1123 + -201431?\nAnswer: -200304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -7*m**3 - 45*m**2 - 55*m - 42. Let y(p) = -3*p**3 - 23*p**2 - 28*p - 21. Let t(a) = -2*w(a) + 5*y(a). What is the hundreds digit of t(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 416239018.\nAnswer: 2, 13, 16009193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (57 - 40*a - 57)*(-6*a**3 - 8*a**3 - 14 - 166*a**4 + 16 + 10*a**3).\nAnswer: 6640*a**5 + 160*a**4 - 80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 5*u + 3*q, 52*u + 4*q - 36 = 47*u. Solve 2 = 3*z - 2*h, u*z + 26 = -z - 4*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2451 (base 7) to base 8\nAnswer: -1626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 480\/(-72)*(-228)\/95?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -15, -2, 2, 15689, 222 in descending order.\nAnswer: 15689, 222, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from adxanannax?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1607*l - 5812*l + 50460 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 - 2. Let a be (22\/33)\/((-2)\/9). Let i = o + a. Solve 3*u = 4*h + 16, i + 10 = 4*u + h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 0*i + 70. Solve k = 4*h, 2*h + i = 2*k - 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 168*b - 1. Let p(w) = -303*w. Determine p(k(n)).\nAnswer: -50904*n + 303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2330435 + -15?\nAnswer: -2330454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from ffb?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 6 + (-7 - (-1 - 9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 171*f. Let c(g) be the first derivative of -3*g**2\/2 + 146. Calculate v(c(l)).\nAnswer: -513*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -2*q. Let a(c) = 67927*c**2. Determine x(a(t)).\nAnswer: -135854*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 160740766 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2 equal to 119\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the third derivative of -q**6\/120 + q**5\/12 + 21*q**2 - 2. Let i(x) = 2*x**2. Give 5*i(c) - 2*n(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 2*z + 5*m, 58*z + 369 - 356 = 55*z - 2*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 2:30 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(275) - sqrt(275)) + 5 + 3)*-2 - ((1 + sqrt(539) - sqrt(539))*-3 + sqrt(44)\/(sqrt(4) + sqrt(28)\/(-2*sqrt(7)))))**2.\nAnswer: 52*sqrt(11) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5\/56 (b) 2 (c) 4 (d) 1\/23 (e) 3 (f) 0.145 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, v: 8}. Give prob of sequence kk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6692, 13537, 20544, 27713, 35044, 42537, 50192?\n\"Answer: 81*y**2 + 6602*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*l - 7 = -84*l - 3*o + 14, -13*o + 63 = -2*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 280 and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -5*v - 2*s + 8, 5*v - 20 = -5*s. Solve 3*k - 41 + 50 = v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 607064, 1214158, 1821252, 2428346, 3035440?\nAnswer: 3642534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (96\/(-51))\/(2*-1). Let t = 44465 - 44463. Does t = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -154 divided by -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (2*((-3*sqrt(304) - sqrt(304)) + -4)*5)**2)*-3 + 5.\nAnswer: -1463995 - 38400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*o = 5*o + 2*o + 253 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -9*v - 5. Let j = -12 - -19. Let n(y) be the third derivative of -y**4\/6 - y**3\/3 + 2*y**2 + 186*y. Calculate j*n(f) - 3*l(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1002100 (base 3) to base 13.\nAnswer: 48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 0 + 6*sqrt(1872)*2*-2 + 2 + -4)**2.\nAnswer: -1152*sqrt(13) + 1078276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -94\/7 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 - 20*x - 26. Give n(20).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -9*y**2 + 3. Let o(c) = -3*c. Give g(o(j)).\nAnswer: -81*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 5 + 3 = 3*a, -3*x + 12 = 0. What is the common denominator of 25\/12 and a\/4 + 161\/56 - -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -548 + 648. Suppose -o = -5*z + s, -16*o = -12*o - 20. Calculate the greatest common factor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -16*d**2 - 32*d**2 + 102*d**4 - 90*d**4 + 12*d - 4*d**3 + d**3 = 0.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**2 - 112366 + 112366.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 912 or 3521?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13 - 8. Suppose -n*v + 0*v - p = -75, 5*v - 85 = -3*p. Let o = 26 + v. What is the greatest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 113 - 36 - (7 + 14).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13807 + 13808. Let j = 0.04 + -0.44. What is the fourth smallest value in z, -3\/4, -1\/5, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j**5 + 570*j**3 - 57*j**2 + 10.\nAnswer: 60*j**2 + 3420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 5 + 3 = 0. Suppose 2*x + 0 - 4 = a, 0 = 5*a + 10. Sort u, x, 4 in ascending order.\nAnswer: u, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -5 (b) -272 (c) 0.2 (d) 9.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {g: 1, l: 2, p: 4, r: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*g + g. Let v(k) = -9*k - 7. Let i be v(g). Let c = -48 - i. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11071?\nAnswer: 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/35 + 1325\/175 + (-4)\/14. Solve -126 = 11*u + a*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 69*l**2 + 5292 - 1050*l - 3\/2*l**3 = 0.\nAnswer: 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -649.9 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -113, -107, -99, -89, -77, -63, -47?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3*4\/3*-1. Let a = 0.4 - 0.2. Let h = -176 + 181. What is the nearest to a in -4\/5, h, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -608898856, -608898851, -608898844, -608898835, -608898824, -608898811?\nAnswer: -608898796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 69\/8134 and 51\/7582631.\nAnswer: 106156834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/8, 26, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, 272, 3, 0 in increasing order.\nAnswer: -4, -3, 0, 3, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r - 2*r + r - 3*r**3 + 127*r**2.\nAnswer: -3*r**3 + 127*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16545 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -15096 greater than -15112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**2 - 19*k + 85. Give w(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-13))\/(0 + 7\/14)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 3 - 2) + (-3*(-9)\/(-27) - 17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, -0.14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 - (-18 + (-44 - -17 - -27)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 + -1 - (3 + -2). Let c be -4*(-30)\/4*(550\/60 + -9). Put 1, c, l, -3 in ascending order.\nAnswer: l, -3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -696 + 1068. Let n = i + -264. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i + 11 + 44. 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 t(i) be the second derivative of -i**3\/6 - i**2\/2 - 230*i. Let k(u) = -u**2 + 6*u - 6. Let d be k(5). Let m(n) = -6*n - 2. Determine d*m(o) + 2*t(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**2 + 10*g + 1. Let f be y(-8). Suppose -3*b + 2*b - 11 = 0. Let x = b - f. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 816*b - 18434 + 8741 = 6746 + 14569 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:23 PM and 7:39 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -261793 - -261823. Suppose -2*x + 57 = 3*r, 0 = 2*x - 5 - 1. Solve 7*g - l = r*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.01 - -1.99. Let v = 10276 + -10273. Let k = 1\/45 + -23\/225. Put c, v, k in ascending order.\nAnswer: k, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 111*-7*(-90)\/(-315)*19\/38\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/(f\/(f*f\/f**(2\/13)*f)))\/(f*f*f\/f**(-4\/13)) assuming f is positive.\nAnswer: f**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*w + 20*w = -4*k - 23, -3*w - 2*k - 25 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -48 + 77. Suppose -21 + x = 2*v. Let i = -0.2 - 0. Which is the smallest value? (a) 2\/11 (b) -5 (c) v (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -139807 divided by 1\nAnswer: -139807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -225, -377, -529, -681, -833?\n\"Answer: -152*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10946 - 10700. Is 233 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggagtagtagabtgt. What is prob of sequence atba?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -11*r**2 + 288*r + 227. Let d be y(27). Suppose 0*a - 2*b = -3*a - 5, -5*b = -3*a + 10. Suppose 0 = -2*u - 2*u. Put u, d, -3, a in ascending order.\nAnswer: d, a, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121121322 (base 4) in base 6?\nAnswer: 2121430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -13*m - 244. Let l be q(-19). Let c be (6\/(-4))\/((-1)\/6). Let h = c - l. What is the remainder when 11 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1522*p**2*s**2*v - p**2*s*v**3 - 12*p*s**2*v**3 - s**2*v**3 + 2*s**2*v wrt p.\nAnswer: -3044*s**2*v - 2*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g - 4*r = -3*g + 310, g - 2*r + 76 = 0. Let p be (-2)\/(-8) - g\/24. Solve -p*u = 3*k - 3, -k - 4*u + u = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 27224797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 252*i**2*u**3 + 409*i**2*u - 3*u**5 + 1 wrt u.\nAnswer: 1512*i**2*u - 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from bbpvpep?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 10211 (base 3) to base 5.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1161 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*u = 3*g + 170*u + 12, 4*g + 4*u = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -162*q + 165*q = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1795 divided by 1.\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -54*p**2 + 0*p**2 + 58 + 10*p + 228*p**2. Let n(j) = -4*j**2 - j + 1. Let x(f) = m(f) + 10*n(f). What is the derivative of x(r) wrt r?\nAnswer: 268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 13) + 4 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11409, 22952, 34665, 46548, 58601, 70824?\n\"Answer: 85*p**2 + 11288*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-2\/5))\/h)**(-23)\/(h**(-2\/19)\/((h*h**(-2\/17))\/h)) assuming h is positive.\nAnswer: h**(14838\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10273676 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -539 + 604. Suppose -61 = -18*a + g. Calculate the highest common factor of a and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 39466944 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16 - -14. Let k be ((-1)\/o)\/((-1)\/(-84)). Is -1*1 + (k - -7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567)*1 + sqrt(567) + -5 - sqrt(567))**2*5.\nAnswer: -450*sqrt(7) + 2960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f + 9. Let g be q(6). Suppose g - 28 = -5*a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10651, -10600, -10549, -10498, -10447, -10396?\nAnswer: -10345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i + 11. Let a be f(-6). Suppose -a*g + 55 = -65. Suppose g = 3*v - 15. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -9*m - 106. Let w be z(-12). Solve -3*o = -w*s - o - 2, -4*s - 2*o - 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5215 - 83507\/16. What is the common denominator of 86\/(-32) + (101 - 95) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and 2033?\nAnswer: 1016.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/2*(-28)\/(-2). Let y(s) be the first derivative of s**3\/3 - 3*s**2 - 5*s - 271. Give y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1336410341 - -4659.\nAnswer: -1336405682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 361452627?\nAnswer: 3, 40161403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*y**6 + 40439*y**5 - 4*y**3 + 4*y**2 - 154*y + 497 wrt y?\nAnswer: 360*y**3 + 2426340*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2270.4 - 51945?\nAnswer: -54215.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 - 202. Let w be t(-17). Suppose 0 = -2*o - 45 + w. Solve 5*u = -3*d + 35, 5*d - u + 0*u = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*z = 45*z. Let k = 16.09 - 16. Put z, -0.5, k in ascending order.\nAnswer: -0.5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 2 n when four letters picked without replacement from {y: 2, n: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 690840 to the nearest 10000.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5664 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f + 22. Let w be y(-15). Let s = w + -2. Solve 0 = s*u - 0 - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -10*g**4 + 85*g**3 - 195*g**2 + 40*g + 80 = 0.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b - 3. Let s(v) = 2*v + 4. Let u(f) = -4*j(f) - 3*s(f). Let g(w) = -9*w**2. Determine g(u(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 975100.7 - 975101. Let b = -6 - -5.1. Let f = -4.9 - b. Sort k, -1\/2, f in ascending order.\nAnswer: f, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9186*h**2*o**2*u + h**2*u**3 - h*o**2*u**2 + 31*h*o*u - 2*o**2*u**3 + o wrt h.\nAnswer: -18372*o**2*u + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5179856.\nAnswer: 2, 11, 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/(-4) + 1\/(-4). Let i = -1 + 1.06. Let l = i - 5.06. Which is the third smallest value? (a) o (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-2)\/8)\/(5\/11240*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, p: 1, r: 6, s: 2}. What is prob of picking 1 s and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 2 - 480869*l - 480971*l + 962319*l.\nAnswer: 479*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4613 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -6*r**3 - 30*r**2 + 14*r - 28. Let j be m(-7). Which is smaller: 460 or j?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1416 divided by -6?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 132 and 25512?\nAnswer: 280632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*t - 2*c - 2052 = 0, t + 4100 = -c + 4169 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 1 + 5 = 0. Suppose 39 = 2*o + 5*k, h + 1 = -o + 5*k. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 3 + ((-18 - -18) + 4 - 13) - -79?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 84806482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -225603 + 225605. Let s = 18 - 19.45. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 552420 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 99288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y - 18. Let x be a(43). Solve -3*m = -8*m - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 + 7*o - 7. Let i = 10 - 4. Let n be v(i). Let j be -2 + (-3)\/n - 64. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*y + y + 19 = 5*k, 4*k = 3*y + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 413377.7 centuries in millennia?\nAnswer: 41337.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5198 plus 1.1?\nAnswer: 5199.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 76.86*22\nAnswer: 1690.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3667 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 311139758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1001375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 22 = -2*y, 5*w = 2*w - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2\/11)\/(i\/((i\/i**0*i)\/i)))\/(i\/(i*(i\/(i*i**(1\/4)*i*i))\/i*i))**(-5\/18) assuming i is positive.\nAnswer: i**(39\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 7 + (3 - 0) + 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 2*g**3 + 8*g**2 - 2. Let i(l) = -l**3 - l**2. Suppose -57*q + 301*q = -1464. What is q*i(t) - b(t)?\nAnswer: 4*t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-15)\/(0 + -5) + 0. Suppose -615 = -3*q - 3*f, 5*f = 5*q - j*q - 389. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 3*x - 4*x - 531, -5*b - 4*x = -1308. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*b**2*t - 3*b**2 - b*t + 104*b + 24007*t wrt b.\nAnswer: 10*b*t - 6*b - t + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.65 and 17?\nAnswer: 15.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.09 * 33\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 - 18. Let w(a) be the first derivative of -a**2\/2 + a + 3. Let g be w(d). What is the greatest common divisor of g and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -13 - -232?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -46*m**3 - 4571*m**2 + 10705*m - 2683. Let j(l) = 24*l**3 + 2286*l**2 - 5354*l + 1342. Let r(w) = -2*c(w) - 5*j(w). Solve r(t) = 0 for t.\nAnswer: -84, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the first derivative of 0*x**2 + 2\/3*x**3 - 8 + 0*x + 0*x**4 - 9\/5*x**5. Find the third derivative of m(w) wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -518\/485 or 0?\nAnswer: -518\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -17 - -11291?\nAnswer: 11275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42, 32, -28, -162, -394, -748, -1248?\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -168 - -167. What is the nearest to i in -0.5, 3\/2, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 AM and 6:55 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3660*g + 7641*g + 54 - 54)*(-g**2 - g**2 + 7*g**2) to the form s + c*g + y*g**2 + r*g**3 and give r.\nAnswer: 19905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 17814105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1550 - -706. Suppose j = 2*z + 4*q, -2*z + 0*q = -2*q - 2250. Calculate the remainder when z is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -277 - -275. Which is the smallest value? (a) 2\/5 (b) 98 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 269*j = 278*j - 4887. Suppose -c - 58 = -f, -5*f + 2*c + 126 = -179. Suppose 0 = -6*a - f + j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 560409.828 to the nearest 1000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3725867?\nAnswer: 71, 97, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-24)\/10 + 12\/30. Let x be (-60)\/(-14) + 4\/(-14). Sort y, -1, x.\nAnswer: y, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/(f**(1\/2)\/f)*f*f)**(2\/13)\/(f**(-2)\/f)**(-18) assuming f is positive.\nAnswer: f**(-693\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 95.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -6\/12583, 0.5, 0.4?\nAnswer: -6\/12583","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ic when two letters picked without replacement from {d: 3, i: 1, a: 1, q: 4, c: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a - a + 2*a)*(-18*a - 4*a + 3*a - 3)*(5*a**3 - 2*a**3 + 0*a**3).\nAnswer: 57*a**5 + 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 95 a factor of (13486 - -4)*38\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -1755*b**2 - 14*b + 13. Let k be y(1). Let v = k - -2907. Does 83 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7)\/(-2) + (-27 - (-715)\/26). Let u(z) be the first derivative of 0*z**2 + 0*z**3 + 32 + 31\/4*z**w + 8*z. Find the first derivative of u(r) wrt r.\nAnswer: 93*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7759, -7763, -7769, -7777, -7787, -7799?\nAnswer: -7813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 7:00 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4975548, -19902203, -44779962, -79608819, -124388768, -179119803, -243801918?\nAnswer: -318435107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 29851 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 256 and 0.08183?\nAnswer: 255.91817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/(-8))\/(1\/2). Let l = -19 + z. Let c be (((-4)\/3)\/4)\/(3\/l). What is the fourth smallest value in 1\/4, 4, 1\/5, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 4269398 and 52031549.\nAnswer: 56300947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**3 - 11*q**3 + 24*q - 24*q.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of 131*s**4\/12 + 138*s**2 - 7*s. Let k(c) = -15*c. Determine k(n(q)).\nAnswer: -3930*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -9647, -9633, -9595, -9521, -9399, -9217, -8963?\n\"Answer: 2*s**3 - 9649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(80) + sqrt(80) + 0 + 2 + sqrt(80) + sqrt(80) + 3*(sqrt(80)*-2 - sqrt(80)) + -4 + 0.\nAnswer: -20*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 306 - 306. Factor -1\/3*q**3 + 1\/3*q**2 + f*q + 0 + 1\/3*q**5 - 1\/3*q**4.\nAnswer: q**2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = -1404866*i + 1404862*i + 56, 0 = -4*m + 2*i - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -3*h. Let l be d(-3). Let p(b) = -b + 7. Let k be p(3). Let j be (12\/5)\/(k\/120). Calculate the greatest common divisor of j and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.051 - 0.451. Which is the nearest to j? (a) -4 (b) -3\/8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 2*i + 20 = 2*i, 2*i + 20 = 4*k. Solve -3*n + 5*a + k = 0, -6 = -2*n - 2*a - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -8. Suppose -4*i + r = w, -3*i - 2*w = -2*i - 8. Suppose i*y = 4*y - 32. What is the remainder when 13 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 124883999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -22597506 <= -22597511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/902 and 69\/19844?\nAnswer: 19844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 x, and 2 z when four letters picked without replacement from ooxjzojzjofjyyzjy.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 25*d**3 + d**2 - 3*d + 6. Let p be g(4). Let b be (113472\/(-36) + 1*4)\/(-2). What is the second derivative of -b*x**4 - 15*x + p*x**4 - 16*x wrt x?\nAnswer: 432*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*c + 4*c - 900 = -62*c. Solve c*s - 1172 = -1162 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2123, -8437, -18953, -33671?\nAnswer: -52591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 283 = 275. Solve -108*s = -112*s - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*o - 20*o - 4*d - 3, -2*o - 66 = 28*d for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -342*x - 538*x + 44104 = 109*x - 15236 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -2021700 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/2)\/(21\/(-140))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.3 + 0.2. Let p be (-4 + 9)\/10 - 15\/6. Let f be p\/8 + ((-10)\/5 - -3). Sort -4, f, l.\nAnswer: -4, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 5*b - 25 = 0, 2*b - 6*b - 4 = 0. Solve -x - 2 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 715024 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -81872 by 11696.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b. Suppose -3*k = -6, x - 3*x - k = 58. Let n be (-34)\/(-10) + 12\/x. Let p(z) = n - 4 + 1 + 2*z. Determine p(c(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 13117296 by -12.\nAnswer: -1093108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(14)\/(-5*6*sqrt(2)))**2 + 0.\nAnswer: 7\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + 5*c**2 - 4*c + 6. Suppose -4*h = 4*g - 3*g - 20, -4*h + 4 = -3*g. Give t(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 - 1094 = -2*j. Let k = -3429\/7 + j. What is the second biggest value in 2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -198, -5, -64 in decreasing order.\nAnswer: -5, -64, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7103448*q**3 - 149443*q**2 - q + 4 wrt q?\nAnswer: 42620688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 64904 and 1220?\nAnswer: 324520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = -3*f + 36, 4050*f + 3*s = 4054*f + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 61*g*m**6 + 18210*g*m**2 + 21*m**6 + 22*m**3 - 15*m**2 wrt m.\nAnswer: 7320*g*m**3 + 2520*m**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 150*t**3 - 18*t**2 + 2*t - 2. Let a(r) = -299*r**3 + 32*r**2 - 3*r + 4. Calculate 4*a(f) + 7*j(f).\nAnswer: -146*f**3 + 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*-271852.\nAnswer: -54370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -106127 - -48462. What is s rounded to the nearest 1000?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-585)\/(-2535)*(-26)\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60179 is divided by 30083.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/5, 1, -191, 0.2, -5.23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -224, -229, -232, -233?\n\"Answer: a**2 - 8*a - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*a + 10705*w - 10700*w = 106, 2*a + 35 = 3*w for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1884 and 1570.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 435.1 - 351. Let h = 84.10886 - b. Round h to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the second derivative of 0*t**2 + 43\/6*t**7 + 0*t**5 + 5\/3*t**4 + 26*t + 0*t**3 - 6 + 0*t**6. Find the third derivative of o(a) wrt a.\nAnswer: 18060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 34 - 40 = -c, -28 = 2*c - 2*u. Let g(a) = a**2 + 9*a + 4. Determine g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 147554 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, 1\/6, -10\/7, 1\/4 in ascending order.\nAnswer: -10\/7, 1\/6, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2 + 258 + g + 642 + 59*g.\nAnswer: (g + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10 - 21 - 265*y**4 + 15*y + 2 wrt y.\nAnswer: -3180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -7 and 0.2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**3 + 20*j**2 - 21*j - 8. Let r be s(19). What is the units digit of (-11 + -5)*r\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 484, 21, 33.8, -1\/9.\nAnswer: -1\/9, 21, 33.8, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-4)\/5)\/(2\/(-40)). Let r = -23 + k. What is r rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 4*c + 18, f - 103*c - 13 = -100*c. Sort f, 4, 3, -29, 5.\nAnswer: -29, f, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1948843 rounded to 4 decimal places?\nAnswer: -0.1949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*x + 14*x - 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = 2*l - 4*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 4 = 2*y + 10, 3*w - 2 = -2*y. Solve 4 = 4*f, 2*r - f = w*f + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yykkkk. What is prob of picking 4 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -17*w**4 - 4*w**2 - 1 + 4*w**2 + 16*w**4. Let t(o) = -2*o**4 + 1. Let x(y) = -t(y) + z(y). Differentiate x(d) wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*l - 13*l = 276. Let m = l + 52. Calculate the common denominator of -1 + ((-10)\/22)\/(-5) and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8943*r - 9*u = -8940*r - 42, -r - u - 3*u = -19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -252, -431, -612, -795, -980?\n\"Answer: -h**2 - 176*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5.4503 rounded to 2 decimal places?\nAnswer: 5.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*m - 5*b + 16, 3*b = -4*m - 36 + 44 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -5*m - 16. Suppose 3*k + 0*k - 33 = 0. Let u(b) = -b - 3. Determine k*u(h) - 2*i(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16572 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-7))**(-48) assuming v is positive.\nAnswer: v**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 311, 523, 735?\n\"Answer: 212*f + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1361 - 1361.3627. What is w rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p + 1. Let b(a) be the first derivative of -5*a**2\/2 + 2*a - 1. Let q(f) = b(f) - 3*n(f). Calculate the remainder when 13 is divided by q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (21*p**2 + p**4 - 21*p**2)*(4*p + 1 - 1) + (-3 + 0 - 2*p**5 + 2)*(1 + 2 - 5) + 0*p**5 + 3*p**5 + 2*p**5.\nAnswer: 13*p**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -624514.1 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - -44. Let j(a) = -a**3 + 11*a**2 - 8*a - 26. Let p be j(10). Let t = n - p. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 114268 at least 114277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 t, and 1 d when three letters picked without replacement from idinhdyyt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4995 divided by 9?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 519*c - 4698 = 258*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 140*t - 38*t - 40*t - 36*t + 55 - 32*t. Determine i(-23).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 6*(-5*5*sqrt(1216)*-5)**2*-2.\nAnswer: -228000003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2554*i**2*y**3 - 2*i*y**3 + 1431*y**2 wrt i.\nAnswer: -5108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-32)\/(-18) - 10\/(-45). List the prime factors of (-1)\/v*-2*17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1392193354 from 1.\nAnswer: -1392193353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44414 is divided by 3569?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 271939, 543752, 815565, 1087378?\n\"Answer: 271813*t + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(35\/(-15) - -3). Let k be 9\/54 - 17\/o. Let d = -10 - -10. Solve d = -k*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/(-4) - (-10 + 11)\/((-42)\/287)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-133*n + 264*n - 7*n + 308*n + 34*n)*(-2*n**2 - 2*n**2 + 6*n**2) as p*n**3 + v*n**2 + l*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3492415101 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 10\/9 and -43\/196319435?\nAnswer: 1766874915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2f76 (base 16) in base 4?\nAnswer: -2331312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**2*i*i**(-4\/7))\/(i**(-2\/7)\/(i**0\/i)) assuming i is positive.\nAnswer: i**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of -24*m**5\/5 - 31*m + 4. What is the first derivative of u(a) wrt a?\nAnswer: -96*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6688062?\nAnswer: 2, 3, 123853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -6435 equal to -6436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 3*p**2 - 36237*p + 36317*p - 5*p**2 + p**2 as t*p**2 + c*p + s and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 28 - 18. Let h be -1 + 2 + (a - 11). Factor 2\/3*o**3 + 2\/3*o**4 + 0*o + 0*o**2 + h.\nAnswer: 2*o**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 1\/6*k**3 - 1\/3*k**4 + 5\/6*k**2 - 1\/3*k.\nAnswer: -k*(k - 1)*(k + 2)*(2*k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -93704220 divided by 53853\nAnswer: -1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*p**2 - 8*p + 8*p)*(8*p**2 - 2*p**2 + 0*p**2)*(0*p - 2*p + p).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -30 (base 15) to base 2\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -230, -231, -232?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82566?\nAnswer: 2, 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(130) + (sqrt(130) + sqrt(130) + (-3*sqrt(130) - sqrt(130)) + sqrt(130))*1)\/(2*sqrt(110)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p + 6, 427622 = -2*x - 3*p + 49570. Let y = x - -321023. Suppose 0 = -4*c - h + 132003, -4*c + h = -h - y. Round c to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 30*t**4 + 52*t**3 - 264*t**2 + 48*t + 64 = 0.\nAnswer: -4, -2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61356829?\nAnswer: 43, 443, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 + -19 - (2 + 1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1429028424 rounded to 4 dps?\nAnswer: -0.1429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 PM and 9:25 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**2 - 2*z**2 - 3*z**2 - 2*z**2 + 5*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -309 + 314. Let z(b) = 20*b**2 + 3*b - 14. Is 35 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -3*g + 3*f, 194*f - 383*f - 18 = -5*g - 190*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.6 (b) 1 (c) -1\/4 (d) 8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1337720 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 196*f + 9. Let y(o) = 1175*o + 55. Let w(z) = 35*s(z) - 6*y(z). Let m be w(-7). Suppose 0 = 4*t - 9*t + m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 - 4*o - 10. Is 2 a factor of r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 + 7*t**2 - 7*t + 8. Let y be h(6). Suppose -y*o + 11 - 1 = 0, r + 4*o = 97. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -881*y**3 + 167*y**3 + 173*y**3 + 173*y**3 + 360*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -296*o - 1. Let q be z(-1). Does 7 divide q\/20 + 3\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, 3197, -4 in decreasing order.\nAnswer: 3197, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 194633 divided by 17.\nAnswer: 11449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + -7?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 0.08323709 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w. Let b(z) = -116334*z**2 - 2*z. Calculate g(b(m)).\nAnswer: -116334*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 47 = 2*n - 4*i, 0 = -5*n - 3*i + 118. Let c be (-278)\/(-12) - 4\/6. Let l = c - n. Is l greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/220 and 31\/1276.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cwx when three letters picked without replacement from wxwc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10186 is divided by 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.3 (b) -2 (c) 5\/3 (d) -19 (e) -2990 (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 48 and 185499984?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -47 + (-40 - -138) + -15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(1664) + -1*sqrt(3744))\/(((sqrt(20) + -2*sqrt(20))*3 - sqrt(20))\/sqrt(10)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2118*i = -2103*i - 71610. What are the prime factors of i?\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 62*o**3*s**5 + o**3*s**2 - 12627*o**3*s - 35*o*s**5 + o*s**2 - 2 wrt s.\nAnswer: 3720*o**3*s**2 - 2100*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(57)\/(sqrt(27) - sqrt(243)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3877978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/248 and 49\/25420.\nAnswer: 50840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12054*b**2 - 13096*b.\nAnswer: -24108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 5*h**3 - 94*h**2 - 13*h - 105. Calculate f(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 9717283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 621 = 5*m, 4*i + 250 = 2*m + 16. Calculate the remainder when m is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(468) + sqrt(468) + -2*sqrt(468) + sqrt(468) + 1 + -1)**2 + -5.\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4392*-299.\nAnswer: -1313208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -60 = -5*v + 20*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003490596 rounded to 7 decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 1 = m - 60, 4*m - 46 = -3*r. Which is bigger: r or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 116 + 12019056?\nAnswer: 12019172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1427 and 48?\nAnswer: 68496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 89397 and 588357.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -155*r**2 - 1686*r + 221. Give c(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*n + 8*n + 18. Suppose -n*r = 6, 0 = 2*o + 3*r + 288 - 105. Let s = 92 + o. Solve 5*d = -2*a - 1, 4*a - s = -4*d - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -37e23d (base 15) in base 16?\nAnswer: -28e5c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*l - 1026 = -3*z - 17*l, -3*z + 1006 = -l. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**4 + 55*s**3 + 225*s**2 + 405*s + 270.\nAnswer: 5*(s + 2)*(s + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -3*t + 1. Let o be j(-1). Let k(l) be the first derivative of -2*l + 38 + 19*l**2 - 18*l**2 + l + 0*l. Let h(z) = -3*z + 1. What is o*h(p) + 5*k(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*t**3 + 0 - 4 + 111*t**3.\nAnswer: 43*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 1 + 4)*(1 + 3 - 3)*(2*v - 3 + 3 + (-3 + 3 - 2)*(0*v + 3*v - 5*v) + 2 - 2 - v) to f*v + n and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 32 and ((-6)\/4)\/(15\/20)*-2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -6*q - 4. Suppose 0 = 4*w - 16. Suppose -w*y + 41 = -3*o, y - 2 = -2*o - 11. Is m(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m + 3*m - 15*m**2 - m)*(19*m**3 - 20*m**2 + 20*m**2).\nAnswer: -285*m**5 + 19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(4\/5)\/(a\/a**(-1)*a))\/((a*a\/(a**(-1\/10)*a)*a*a*a)\/(((a**2\/a)\/a)\/a*a*a)))\/(a\/a**7*a**(-4\/9))**2 assuming a is positive.\nAnswer: a**(683\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 193250\/11 + -17568. Suppose -2\/11*d**5 + 0*d**3 + 0 + 4\/11*d**4 - 4\/11*d**2 + y*d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1122.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 434445097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 6 = 0, 3*i + n + 642 = -4*n. What is the remainder when 1*2*i\/(-6) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -5 (c) 0.78715 (d) -0.17 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -6*u + 49. Let l be a(8). Suppose -l - 14 = 3*v, -5*o - 2*v = -3320. Is o a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1023 and 792?\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -99 - -0.16053?\nAnswer: -98.83947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6213991, -12427976, -18641957, -24855934?\nAnswer: -31069907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*39 - (5 + -9 + 8). What is the hundreds digit of -3 - 56\/(-20) - (-14077)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -157\/7200 and 19\/745200?\nAnswer: 1490400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -294 - -42324334098.\nAnswer: 42324333804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*i + 36*i = 9. Let c(f) = f**2 + 3*f - 4. Let q be c(-4). Let r be 5*(2 + (-3)\/(-5) + -2). Put i, r, q in decreasing order.\nAnswer: r, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0973577 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11896 - 9457. Calculate the greatest common factor of j and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 - 13*d + 17. Let z be o(-14). Differentiate -1 - 5 + 2*x**2 + z*x**2 wrt x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -3*l - 3. Let j be t(-2). Let b = -6.07 + 0.07. Let g = b - -6. What is the second smallest value in -1, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**2 + 28872*r + 288420.\nAnswer: 3*(r + 10)*(r + 9614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 + 15)*3\/(-6). Let j(q) = -3*q + 11. Let a(z) = 2*z - 7. Let u = 5 - 10. Let i(g) = u*j(g) + y*a(g). What is i(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 70 - 58. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 4) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -6\/5*p**3 + 5822\/5*p**2 - 282658*p + 94090.\nAnswer: -2*(p - 485)**2*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106154423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 345, -3, 4, 3, 26, -29 in ascending order.\nAnswer: -29, -3, 3, 4, 26, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 140\/(-168)*(-8)\/(-30). Put -19, q, 1, 0 in decreasing order.\nAnswer: 1, 0, q, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 1 + 0)*(-2*h + 4 - 4) in the form m + z*h and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1677553 + 1677553 - 225*w.\nAnswer: -225*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 7*f + 23*f**2 - 4*f - 2 - 2*f in the form b*f + p*f**2 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**2 - 3147*m - 143636. Let o be n(-45). Let 0 - b + 1\/2*b**o - 1\/2*b**2 + b**3 = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 5, m: 3, i: 1}. Give prob of picking 1 x and 1 i.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 - 3 - 208\/(-126). Let s = 1\/63 + x. Let h be -6*10\/112 + (-4)\/(-14). Put 7, s, h in descending order.\nAnswer: 7, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-12 + 23 + 34)*(3*j - 4*j + 3*j) to a*j + o and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*f**3 - f**3 - f**3)*(81*f + 703*f + 1052*f).\nAnswer: 3672*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 15*w. Let t(x) = x. Let c(d) = 6*g(d) - 85*t(d). Let f be c(1). Suppose j = f + 2. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 2:56 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 67.86 - 67.85765. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1241440 (base 5) to base 12.\nAnswer: -122b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 18084.684 to the nearest 100.\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 937892767?\nAnswer: 7, 101, 347, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + -3. Let l be (-1 - q) + 10*-1. Let m(a) = a**3 + 9*a**2 - 2*a - 9. Let g be m(l). Solve -s + g = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -143.7 and 1.\nAnswer: -142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) + 2*sqrt(77)*-1 + sqrt(77))\/((sqrt(11) - (-1*sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(8)) + sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -47 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of -q**5\/60 + 5*q**4\/8 - q**3 - 6*q**2. Let i be c(13). What is the highest common divisor of 200 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3899329 is divided by 4285.\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppppjpppjpp. Give prob of sequence pp.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 1817*z - 3. Let r(b) = 1819*b - 2. Give -2*n(o) + 3*r(o).\nAnswer: 1823*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 24011 (base 6) to base 10\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g + 1. Let f be v(1). Suppose 5*r = f*b + 1138, 304 = 4*r - b - 605. List the prime factors of r.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 20, -0.48, 1\/2, -3?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11914246 = 62*v + 11911270 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aoau when four letters picked without replacement from ofmuaap.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -26, 0.4, -79\/12, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 6 + 9. Suppose 4*z + 7 = 4*k - 5, -k = -l*z - 3. Let r be -6*((-2)\/4 + z). Solve h + 1 = x + 7, 3*h = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 6:31 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000001538 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 443546689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -22 divided by 41\nAnswer: -22\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -140428 and -9076?\nAnswer: 1274524528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 187 divide 18646705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 257 times -1\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -1772*n - 265570. Give q(-150).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) 3 (d) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 96 = 5*n - 2*w - w, 43*w = -1849 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7074442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15635 - -39135. Round n to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -556, -3509, -11496, -27025, -52604?\nAnswer: -90741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 62*v - 4 = -m, -2*m + 73*v - 76*v + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (33\/(-6))\/((-770)\/560)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2054 - 843. Is 58 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/((-12)\/27)*(-3080)\/(-1980)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1714, 1578, 1352, 1036, 630, 134, -452?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 0 + 7 + u + 0 - 8. Give a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((140\/(-16))\/(-7))\/(1\/4). Let a = -5.7 + 6. What is the smallest value in v, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 775296 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 14\/17, -2\/5, 9\/7 in descending order.\nAnswer: 9\/7, 14\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*i + 8. Let j(y) = -y. Let b(g) = -1. Let a(k) = 2*b(k) - j(k). Determine a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5\/7, 0.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3481\/42 - 754\/7. What is the common denominator of -59\/78 and i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 + 5*l**2 + 8*l + 13. Let o be h(10). Let u = o - -4478\/11. Let p = 3 - -2. What is the second biggest value in u, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ltm when three letters picked without replacement from {e: 5, t: 3, x: 1, v: 1, m: 1, l: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6037, 25802, 59289, 106504, 167453?\nAnswer: 242142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1858*b + 1825*b + 83*b**3 - 3782*b wrt b?\nAnswer: 498*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2064994.255*-0.2\nAnswer: -412998.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 0, -5*l = -5*p + 282 + 193. Let k(g) = g**2 + 9*g - 185. What is the remainder when p is divided by k(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of n**5\/120 - n**4\/8 - 2*n**3\/3 - 2. Let l(k) be the third derivative of b(k). Let x = 24 + -19. Calculate l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -18*k. Let v(w) = -2*w + 4*w + 6*w + 5*w - 3*w. Give v(d(t)).\nAnswer: -180*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.5279 - -3.503. What is the closest to -0.1 in 3\/2, h, -1\/2, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/(r**(4\/7)*r)*r**(-3\/7)*r*((r**0\/r)\/r)**(-13) assuming r is positive.\nAnswer: r**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2118195 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 6, -14, -84, -228, -470?\n\"Answer: -4*v**3 - v**2 + 11*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -217 = -7*j + 273. Suppose -18*a + 20*a - 10 = 0. Let m = a - -9. What is the highest common factor of j and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 8 = -24. Let j be (-9)\/o + (-4)\/(-16). Let c(b) = 0 - 3*b + 1 - 27*b**2 - 42*b**2 - 35*b**2 + 103*b**2. What is c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 964746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gbugbfggbggiggagb. What is prob of sequence aug?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (745\/(-3278))\/(15\/36).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5 - 11)*(-1 + 2). Let c(b) = 4*b + 2 + 5*b**2 + 6*b**3 - 5*b**3 - 5*b - 5*b. What is the units digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (56\/13)\/(780\/2535)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**6*w*w**(4\/7)*(w\/(w**(2\/53)\/w))\/((w*w**(-5\/3))\/w) assuming w is positive.\nAnswer: w**(13579\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1835580979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 8*v + 1. Let t be x(3). Let p(n) be the first derivative of 2*n**2 + 2 - 1 + t*n - 22*n. Differentiate p(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20508698 to the power of 1\/2, to the nearest integer?\nAnswer: 4529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*d + 39*d - 2808 = 21*d for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 372553641.\nAnswer: 3, 13798283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = -9*x - 10. Let t be (45\/10 + x)*2. Is (-1 - t - -18) + (-2 - 2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4992 is divided by 502?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*(-2)\/(-18))\/(179\/716).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/18 + (-16)\/(-234). Let d(y) = -1 + 9 - 3 - 2 - y. Let q be d(7). Which is the third smallest value? (a) -5 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (-4 - (4 - (-4 + 7))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - (1 + -3)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 272, 238, 182, 104, 4, -118?\n\"Answer: -11*h**2 - h + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84785376?\nAnswer: 2, 3, 13, 41, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11690455 to the power of 1\/2, to the nearest integer?\nAnswer: 3419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -239, -892, -2373, -5000, -9091, -14964, -22937, -33328?\n\"Answer: -53*j**3 - 96*j**2 + 6*j - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 303*t**2 + 243168*t + 129924 = 0.\nAnswer: -802, -54\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 - 1 - (11 - (10 - (2 + 1)))) + -36?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**2 - 11*s + 14. Determine q(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -12*m**2 + 80*m - 211. Calculate i(3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1020 (base 3) to base 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, s: 1, d: 2, o: 1, q: 2}. Give prob of sequence djso.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 268 a factor of 558581405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -294 - 44221*s + 120*s**3 + 44221*s with respect to s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195188401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 7*i - 20. Let k be w(6). Let p = k + -22. Suppose -4*x - 5*z + 313 = p, -7*x + z = -6*x - 85. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5801228?\nAnswer: 2, 1450307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*b**2 - 83*b**2 - 49 + 49 to z + r*b**2 + j*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27 - 27. Let r be 1*2 - (-13 + 18). Let w(u) = -u**3 - u**2 + 3*u. Let o be w(0). Which is the nearest to o? (a) p (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -1) + (48 - 47) + 12 + -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.4 - -0.4. What is the nearest to 1 in 0, l, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 202, 204, 206, 208, 210?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, o: 3}. What is prob of picking 1 o and 1 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qgg when three letters picked without replacement from gffvgdvqlfflqdq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 22 + 39 + 29 - 5*j**2 + 7*j**2 + 64*j wrt j?\nAnswer: 4*j + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes after 10:00 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -444*i - 250 = -469*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 4*a = 5. Let n(f) = -9 + 2*f + 2*f - a*f. Let h = -17 + 12. What is n(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1\/4, -1\/503 in descending order.\nAnswer: 5, 1\/4, -1\/503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 + 10. Solve 0 = -3*i - 2*t + m + 1, -2*i = 2*t - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23053.32 rounded to the nearest 100?\nAnswer: -23100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.8 in -0.2, 7, -0.093, -1\/3?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 + -10274225?\nAnswer: -10274221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 71, 70, 69, 68, 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26275 is divided by 8597.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lxx when three letters picked without replacement from {l: 5, x: 4, h: 1, n: 10}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -3*f + 2. Let r(p) = 116*p - 199. Let y(b) = 4*l(b) + r(b). What is the derivative of y(q) wrt q?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**1\/((t\/(((t*t**(-1\/5))\/t)\/t)*t)\/t)*((t*t*t**(1\/4))\/t)**(2\/21) assuming t is positive.\nAnswer: t**(-227\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o - 2*o - 557*o**3.\nAnswer: -557*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3784*g**3 - 31*g - 9. Let a(l) = 3*l**3 + l**2. Let q(r) = -5*a(r) + h(r). What is the third derivative of q(z) wrt z?\nAnswer: 22614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1587 - -545. Let r(t) = -1493*t**2 + 4*t - 4. Let g be r(1). Let c = b - g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36198 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 9*(-1)\/(2 - 5). Let a be p - ((-39)\/(-9) + -2). Let w = -0.6 + 0.2. What is the second smallest value in -4\/7, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 16470 and 16470 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 + 7*v**2 - 9*v + 10. Suppose -5*x - 2*r = 3*r + 60, 28 = -2*x - 3*r. Let z be l(x). What is the highest common factor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -510, -2213, -6834, -15831, -30662, -52785?\nAnswer: -83658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 PM and 11:34 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qfqqqqqqfqqqqqqqqqq. Give prob of picking 2 f and 2 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + c**2 - 2*c - 4. What is r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-16)\/(-44))\/(18\/1089). Solve -6*g + h*g = 48 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of i**5\/20 - i**4\/6 - i**3\/6 - i**2\/2 + i + 1. Let w(q) be the first derivative of t(q). Let d be 4\/2 + (-1 - -2). Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 35 = -31. Suppose h*d = -13 + 39. Solve 6*j - 8 = -r + 2*j, -d = r - 3*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -93736\nAnswer: -1\/93736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**2 + 14. Suppose -5*v + 76 = 4*g, -44 = -5*g + 3*v + 14. Suppose 0 = g*u - 6*u. What is b(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 234.7085 millilitres to litres.\nAnswer: 0.2347085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9136*q**2 + 2*q + 919.\nAnswer: 18272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 596781 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r**3 + 16*r**2 - 4*r + 4. Let u be w(3). Which is the closest to 3? (a) -3\/5 (b) -0.4 (c) u (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1357 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17 - -14. Let s = -31 - -17. Let i = n - s. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*g - 157 = -56 - 927 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2*(-5)\/((-220)\/16). Suppose 3*i - 18 = 4*u - 166, -i + 3*u - 56 = 0. Let v = i - -44. Is v < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58 (base 13) in base 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -13*o - 53. Calculate v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1\/((8\/(-2))\/(-148))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -100101121012221 (base 3) to base 14\nAnswer: -93d167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 12*m**3 - 410*m**2 + 16*m - 257443 wrt m?\nAnswer: 36*m**2 - 820*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, u: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**2 - 15*z - 29. Let x be u(-11). Factor 212 - 6*t**3 + x*t**3 - 652 - 50*t**2 - 11*t**3 - 286 - 374*t.\nAnswer: -2*(t + 3)*(t + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 154, -411, 26, -3, -4 in decreasing order.\nAnswer: 154, 26, 5, -3, -4, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 163.6 - 172. Round a to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -20 - -35. Suppose b + 8 = r. Which is smaller: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1209*a**4 + 1640*a**4 + 1269 - 893*a**4 - 2763 with respect to a.\nAnswer: 7824*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*z - 4*q - 10, -z - 20*q = -16*q + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 560*c - 7009 = 16187 - 5276 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.0497528 + 0.04864. Round l to 5 decimal places.\nAnswer: -0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 + 5*d - 5. Let f(p) = p - 4. Let h be f(3). Let k(s) = -1. Let j(y) = y - 6. Let o(m) = -j(m) + 5*k(m). Determine h*b(n) - 5*o(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 12:59 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33, -2, -75, -198, -383?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -56, 26, -27 in decreasing order.\nAnswer: 26, 1, -27, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 13*s - 9 - s**3 - 17*s**2 - 13 - 17*s. List the prime factors of w(-17).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 2, e: 4, x: 10, h: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 8*i - 30. Let n be -8 + (0 - -4) + 3. Let d be (n + 2)*(-15)\/(-1). Is 9 a factor of x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -3*v - 5. Let y be d(-2). Let o be (-1 - -7) + (-4)\/y. Solve 4*a - 5*f = 0, -a = -3*f + o*f - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - m + 6 = 0. Suppose m*d = -0*d. Solve 2*k - 3*k - 4 = d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from iiffifiiwfwwww.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2670 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -44 + 44. Which is the nearest to -3\/2? (a) -3\/2 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22, 26, 18, -8, -58, -138?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/9 + (-109)\/(-3). Let r(b) = b**2 + 11*b + 9. Let x be r(-11). What is the greatest common factor of x and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1 (b) 5 (c) 80.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1.5677 equal to 1590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 2 + 0 - (-2 + -3 + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 232*b = -229*b - 25236, -2 = -b. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (y - 5*y + 2*y)*(-y - 6*y + 4*y + (-10*y + y + 3*y)*(-6 + 3 - 7) + 4*y - 2*y - 3*y).\nAnswer: -112*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11298994?\nAnswer: 2, 7, 807071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**4 + 0 + 0)*(-1 + 5 + 2).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5 - 0 - 5)*1. Factor -3\/8*b**3 - 3\/4*b - 9\/8*b**2 + a.\nAnswer: -3*b*(b + 1)*(b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1202858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/((y\/(y*y**(-4\/17)))\/y))\/y)**(-38)*(y*y**(-1\/10))**(13\/3) assuming y is positive.\nAnswer: y**(-4277\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1224109037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 9*i**2 - 1059*i + 2801. What is r(115)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -108*w = 29*w + 211*w + 1392 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 - 6. Factor 2 + d**2 - 3 + d**3 - d**4 + f - d**5.\nAnswer: -d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**3 - 6*c**2 + 11*c - 2. Suppose -3*a - 8 = -y, -3*y = -5*y - 5*a + 5. Let k be q(y). Suppose -l - 20 = -k. Solve 0 = -0*i - 4*i - l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*p**4\/5 + 2*p**3\/5 + 12*p**2\/5 = 0. What is p?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 AM and 1:04 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2578, -34 in decreasing order.\nAnswer: 2578, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7 (b) 0.5 (c) 0.03 (d) -0.0963 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(160)\/(sqrt(55)\/sqrt(176)) - (0 + sqrt(288) + (sqrt(288) + 1*sqrt(288))**2)) + 3 + -5.\nAnswer: -1154 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31655?\nAnswer: 5, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 200473, 401032, 601591?\n\"Answer: 200559*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 493331 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23631*g**2 - 52966*g**2 - 14750*g**2 + 20920*g**2.\nAnswer: -70427*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, m: 1, z: 1}. What is prob of sequence sz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30.235 + -40.3. Let a = 4 + 6. Let c = x + a. What is c rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r, 4*f + 223*r = 222*r + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4190 + -1251. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10110111100101111110 + 10001000?\nAnswer: -10110111100011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 7 - 1)*(3 + 0 - 2)*(3*k**3 - 5*k**3 + k**3) + k**2 - 2*k**3 - k**2.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is o in 4*o**5 - 1364*o**4 + 1348*o**3 + 4100*o**2 - 6808*o + 2720 = 0?\nAnswer: -2, 1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express ((-b + b - b)*(6*b - 3*b - 5*b) + 2*b**2 - b + b + 0*b**2 + b**2 - 4*b**2)*(-2*b + 6*b - 2*b) as p*b**2 + q*b + k*b**3 + g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 15 + -454.73950865344?\nAnswer: -439.73950865344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddgpddpdgg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + (-544)\/(-40) - (-3)\/1455*311*-1.\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5507, 11014, 16521, 22028, 27535?\n\"Answer: 5507*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (1*2)\/((-11)\/(231\/(-14)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8906239?\nAnswer: 8906239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 1343*b. Let c(q) = q**2. Calculate z(c(h)).\nAnswer: 1343*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (5 - 4)\/1 + -4. Let j be (20\/(-28))\/(u\/21). What is the units digit of 48*(-5)\/j*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -12*(5 + 466\/(-93)). Let j = f - -18\/341. Solve 0 - 2\/11*d + j*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -634.5 rounded to the nearest 10?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18)\/(((-104)\/12 + (-9)\/(-54))*4).\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -136*u - 312. Let x(t) = 429*t + 936. Let y(s) = -38*r(s) - 12*x(s). Calculate y(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*(2 - (-3 + 6)) - -1. Suppose c + 2*i - 20 = 0, -b*c + 2*i = -85 + 15. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -202122 (base 3) to base 13.\nAnswer: -33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b**(-15)\/b))**(-10)\/(b**25\/b*b*b**(-43)) assuming b is positive.\nAnswer: b**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*a**2 + 49456090929237 - 49456090929237.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -11b85 (base 14) in base 10?\nAnswer: -43433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 14, -24 in ascending order.\nAnswer: -24, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 1)*(-16*b + b - 35*b) + (2 - 3 + 3)*(-b + 4*b - b) - 4*b + 2*b + b + (b - 1 + 1)*(3 + 2 - 6).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 327599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -11330 equal to -11329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -40, 123, 462, 953, 1572?\n\"Answer: -4*f**3 + 112*f**2 - 145*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v + 12*v + 64 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 540961286 and -14572?\nAnswer: 540975858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8184030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2348*x + 86*x + 1822*x + 387296 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18 - -68. Let p = y - 53. Let j = 206\/3 - 68. What is the biggest value in j, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-897)\/(-5) + 3\/5. Let h = c + -105. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-25)\/(-10))\/(45\/54). Solve -k*q - 2*q = -5*u + 45, 2*u - 6 = -q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21374602 to the power of 1\/2, to the nearest integer?\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -26.23 - -26.23. Let s = -6 + 6.4. Which is the closest to h? (a) s (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - 25 = 2*c. Let t = 21 + -12. Suppose -4*i = -t - 7. Sort i, 0.3, c.\nAnswer: 0.3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f + 18. Let l be j(-9). Solve l = -4*r - q - 2*q + 3, 5 = q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 123, 224, 325, 426?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the third derivative of u**8\/20160 + 16*u**5\/15 - 3*u**2 + 7*u. Let l(y) be the third derivative of k(y). Let j(s) = -s + 141. Give l(j(c)).\nAnswer: c**2 - 282*c + 19881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s**2 + 0 - 43*s**3 + 5 + 5*s - 197*s**3 - 7*s to the form v + h*s**2 + i*s + t*s**3 and give t.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*k + 4*k = -3*o - 1419, -17*k + 300 = -12*k - 5*o for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0001 + -46.2999. Let t = -46 - k. Put t, 1, -1 in decreasing order.\nAnswer: 1, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 124245.\nAnswer: 12424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (13 - 0) + 10 + -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 AM and 9:03 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86 = -14*o - 30. Suppose 3*l = o*s - 0*s - 43, -5*s + 54 = -4*l. Calculate the greatest common factor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 125, 1, -3\/5, 1\/6.\nAnswer: -3\/5, 1\/6, 1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 14.25 minus 216625287?\nAnswer: -216625272.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 459736466?\nAnswer: 2, 7, 23, 1427753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p**2 + 4*p - 1. Is 5 a factor of m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/6744 and -121\/10?\nAnswer: 33720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of 0*f + 1\/48*f**6 + 3\/16*f**4 + f**2 + 2 - 1\/10*f**5 - 1\/6*f**3. Let j(s) be the second derivative of w(s). Factor j(b).\nAnswer: (b - 1)**2*(5*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 133\/49 + (-4)\/(-14). Suppose 4*r - 4*g = 0, -u*r - g + 12 = 2*g. Suppose -r*h - 25 = -5*s, 4*h + 29 = 5*s - 2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*p + 5*p - 16*p)*(-3*p**2 + 2*p**2 - 6*p**2).\nAnswer: 154*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - a - 115 = -4*o, 55 = 2*o - a. Let y = o - 13. Calculate the greatest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 172, 3\/7, -2\/7 in increasing order.\nAnswer: -2\/7, 3\/7, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6156)\/31806)\/(14\/(-5642)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -2*v. Let a(w) = -12780*w**2 - 11017*w**2 - 589*w**2 - 23091 + 23091. Calculate a(y(x)).\nAnswer: -97544*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -4, -1\/2, -1.399?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -19387*i**2 + 59*i - 514. Let s be g(19). What is s rounded to the nearest one hundred thousand?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -222198 - 19.\nAnswer: -222217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 4 = 0, w - 3*a = -2*w + 6. Calculate the remainder when (-7 + 116)*(1 - (0 - w)) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 38\/10 + 3\/15. Suppose 0 = g*i - 0*i - 120. Solve 4*y + i - 9 = b, -4*y + 9 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 p, and 2 f when four letters picked without replacement from pxxuffpu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 6) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 57876120 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1415 + -1420.576. Let s = h + 0.506. What is s rounded to 1 dp?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2538 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: Evaluate -11 + 6 - -3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/7))**(-13)*(d\/(d\/(d**1*d)))**(-36)*(d**(-1\/2))**(-12\/7)\/((d*d**1)\/d*d)**(-41) assuming d is positive.\nAnswer: d**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4\/1169 - 43173\/23380. Find the common denominator of 129\/(-144) + (-3)\/(-9) and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 7, m: 3}. Give prob of picking 2 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20714 - 20735. Calculate the common denominator of (-218)\/(-672)*-1 + 0 and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 510507*w**4 + 2937*w - 29 wrt w?\nAnswer: 6126084*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 6*o - 3*k = -12, 3*o - 22 = 2*k. What is the highest common factor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 30155 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*d**6*z**2 + 450*d**3*z**2 - 8*d**2*z + 13*d*z**2 - d wrt d.\nAnswer: -240*d**3*z**2 + 2700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/2))**(-31))**(-32) assuming t is positive.\nAnswer: t**(-496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 103*g - 11 = 102*g + 4*r, 0 = 5*g + 5*r + 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 - 9*j**2 - 29*j + 264. Determine x(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 2 i, and 1 d when four letters picked without replacement from ijjdvjjjvij.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gkghvk. Give prob of sequence gk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 5*-3*sqrt(17) + -6*sqrt(2448)*2)**2.\nAnswer: -954*sqrt(17) + 429786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**3 + 86*q**2 + 702*q + 1386 = 0.\nAnswer: -33, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 4 = t. Suppose 0 = 8*m - 188*m + 242 + 298. Sort m, -5, t in descending order.\nAnswer: m, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -9*z + 3*h, z = h. Suppose -t = -z*t - 10. Suppose 0 = -5*o + t, -2*o + 12100010 = 5*w + 3*o. Round w to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 3 + 82. Suppose 9*s = k*s - 16. Solve s - 18 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 47589 + -18077. Is g a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15 + 279\/62)*(-4)\/(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 424 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 0*q + 5*q**2 + q + 5*q - 3*q**2 in the form m*q + i + w*q**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23241 = -136*f + 24631. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 5*r - 1. Suppose l - 546 = 5*l - 2*g, -g - 543 = 4*l. Let y = l + 144. Calculate the smallest common multiple of v(3) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jvuigjgjjjuduvvjj. What is prob of sequence vgi?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -249, -247, -245?\n\"Answer: 2*b - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*d - 22*d = 14*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*q + 177*v - 189*v - 3, -5*q - 17 = 5*v + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**3 + 2*y**2 + 5*y - 4. Let k be c(3). Suppose -3*s = -5*i - 0*i + 1330, -4*i - k*s = -1086. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-1\/3))**25\/(a**21*a*a**(-19\/2)) assuming a is positive.\nAnswer: a**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 102*f**4*n + f**3 - 17*f**2*n - 3*f*n - 4*f - 15*n wrt f.\nAnswer: 1224*f**2*n + 6*f - 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 470819444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -4. Let y(l) = 5*l**2 - 4*l**2 + 4*l**s - 4*l**2. Let z(r) = -6*r. Determine y(z(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 + 10.65. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - -40388?\nAnswer: 40391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*r - 3 - 319\/4*r**2 + 121\/4*r**3.\nAnswer: (r - 3)*(11*r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/53 (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 10*x + 10. Let r(k) = -k**3 + 19*k**2 + 18*k + 41. Let n be r(20). Let s be ((-1)\/n)\/(13 - 14). Let m(h) = -h - 1. Calculate s*i(a) + 12*m(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4 + 2)\/(-2)*0. Suppose -x + 7 - 2 = c. What is the second derivative of 14*l + 14*l**5 + 3*l**x - l wrt l?\nAnswer: 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - (3 + -4 + (2 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -50.68 minus -349?\nAnswer: 298.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -3 (c) 0.6 (d) 2 (e) 14.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4480 - -7331. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -36, -1, 2.\nAnswer: -36, -1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-33)\/44)\/(9\/(-60)). Let l(s) be the first derivative of 2\/3*s**3 - 1 + 0*s**4 + 0*s**2 + 0*s + 3\/5*s**j. What is the third derivative of l(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of l**5\/60 - l**4\/24 + l**3\/3 - 11*l**2. Give n(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 4*u + 10 = 0, 0*u - 3*u = 2*h - 25. Suppose 0*l + h*l = 0. Let i = l - 9. Find the common denominator of -85\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -i - i, -5*i = v. Let p = 2 + i. Suppose p*f + 27 = b + 3*f, -2*f + 10 = 0. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2865*u + 99*u**2 + 2865*u + (0*u + u - 2*u)*(2*u - 5*u + 5*u) + 3*u**2 + u**2 - 6*u**2 + (-2*u + 2*u + 2*u)*(-6*u + 2*u + 2*u).\nAnswer: 91*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - 68 - (19 + (-57 - -14) + 22)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -42 + -33396?\nAnswer: -33438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 202.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2 - (-3 + 0 + 0). Suppose 3*m - 10 = r. Suppose -3 - 2 = m*q. Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -169560912 divided by -58?\nAnswer: 2923464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 15) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-8)*2\/(-2))\/(30\/(-540)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9.03? (a) 0.2 (b) -2 (c) -327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of -i**4\/24 + 2*i**2. Let a be (1 - -1)*-1 - -5. Let c(q) = a*q - 3*q + q + q. Determine c(t(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 220677335 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 4*o = -14, 0 = -3*f - 5*o - 4 + 97. Suppose -89 = 10*m + 171. Let z = f + m. Solve z*b + 12 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 321 + m**2 - 173*m**3 + 6*m - 103 - 218 - 6*m.\nAnswer: -173*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/8*(-710)\/(-1491)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1317420492 a multiple of 4892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 3*l - 0*l + 5*n, 28 = -4*l + 4*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 22596.27 millilitres?\nAnswer: 22.59627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 218821619 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zrkzxqzkzccqkqzqc. Give prob of picking 1 k and 1 z.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*y + 24*y - 36. Let p be 100\/((1\/(-6))\/(93000\/y)). Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 51 + -91. Let k = s - -27. Let i = k - -16. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 2 + (-1 + 3 + 0)*(0 - 1 + 2) + (5 + 0 - 4)*(-2 - 1 + 5))*(3*d**2 + 2*d**2 + 2*d**2)*(-2 + 4 + 4*d**2 - d**2).\nAnswer: 147*d**4 + 98*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 42\/75*(-369)\/(-7749).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13225879.\nAnswer: 2153, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 7*k**2 - 5*k - 6. Let o = 51 + -54. Does 18 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 160520678, 160520677, 160520676, 160520675, 160520674?\n\"Answer: -u + 160520679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 10:35 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 63*u**5 + 1761\/7*u**2 - 125\/7*u**3 + 4\/7 + 24*u - 183*u**4 = 0.\nAnswer: -1, -1\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -940 divided by -4.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2793470 is divided by 6153.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*c + 4*c + c)*(-733 - 42*c**3 + 733) as l*c**2 + v + i*c**3 + k*c + y*c**4 and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17 + 28. Let h = i + -12. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5*p. Let q(l) = -l**3 + 4*l**2 - 2*l + 2. Let r be q(4). Let y(v) = 11*v. Let f(u) = r*y(u) - 13*t(u). Let h(j) = 4*j**2. What is f(h(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 - -4. Let n = -7 + u. Let a = -2 - -1.9. What is the second smallest value in 2\/7, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3021 and 636.\nAnswer: 12084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 1939*s - 465753. What is o(240)?\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 - 2.3676315.\nAnswer: -2.8676315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -599841*d**3 + 61452*d wrt d.\nAnswer: -3599046*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 3*n + 17061, 3*m - 6*n - 17069 = -7*n. Let w = -3294 + m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 4*u + 6. Let c be t(4). Let a(w) = 2*w. Let y be a(-6). Let q = -7 - y. Solve 15 = -q*f, 2*x + 3*f = f - c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/20)\/(((-1290)\/40)\/43)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 5*a = -5*c - 120, c = -3*a - 23. Let m = -13 - c. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.704 and 8401?\nAnswer: 8399.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-7))\/((-2)\/(-14)). Suppose 5*m = -r*z + 4*z - 471, 4*m + 4*z = -360. Let d = -11 - m. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4\/5 - -33\/35. Let m be 63\/70*(-10)\/12. What is the closest to -1\/3 in g, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 9:08 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 3 - 30*f**3 - 2*f + 12*f**3 - f**2 - 14*f**3. Let y be q(1). Let z = -22 - y. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2696775.\nAnswer: 3, 5, 41, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 1 - 1)*(-11*o + 9*o - 7*o) + (1 + 1 + 0)*(-o + 4 - 4).\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ekf when three letters picked without replacement from {e: 3, f: 3, k: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -8372.633 rounded to the nearest ten?\nAnswer: -8370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**4 + 4*v**3 - v**2 + 3*v - 3. Let x(r) = -r**4 + 4*r**3 - 2*r**2 + 2*r - 2. Let d(z) = 4*a(z) - 6*x(z). Factor d(h).\nAnswer: 2*h**2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 2*z = 6*b - 16, -5*b + 5*z = -25. Let m(h) be the third derivative of 25*h**2 - 1\/12*h**5 + 0 + 5\/3*h**b + 5\/24*h**4 + 0*h. Factor m(u).\nAnswer: -5*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 - 5. Let l be 1\/(2\/(-12))*(-3)\/2. Suppose -5*k + 141 = -l. Solve -m*c - 5*p + k = 0, 3*p = 2*c - 0*p + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 divided by -44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 218*z**2 - 219*z**2 + 65 - 65. Let o(k) = 5468*k. Determine o(x(l)).\nAnswer: -5468*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -b - 32. Sort b, 2, 0.4 in descending order.\nAnswer: 2, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u - 3*u**2 + 3*u)*(-u**2 + 5 - 5 + (-2*u - 2 + 2)*(3*u - 2*u + 0*u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1160 - -b?\nAnswer: 116b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 110 + l + 0*l + 465*l**2 - 463*l**2 - 43. What is the tens digit of j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2876 (base 11) to base 2.\nAnswer: -111010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 164\/10 + (-2)\/5. Let h be ((-8)\/3)\/(13\/(-39)). What is the greatest common factor of j and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qvv when three letters picked without replacement from vqvq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/4)\/(14\/28). Suppose -15 = g + 2*g, -2*y - 2*g = -40. Let i be ((-2)\/y)\/((-3)\/5). What is the smallest value in h, i, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 7294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 2392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2121*j**3 + 2*j**2 + 19*j + 41. Is v(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -47\/67 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1183030 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 37 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4259678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1236889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 263817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 870 is divided by 807.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 14 = 6*f, 0 = -f + 3*q + 4 + 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of -u**7\/168 + 7*u**6\/120 - 3*u**5\/16 + 13*u**4\/48 - u**3\/6 - 38*u + 3. Let v(z) = 0. Calculate z.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.786*-16\nAnswer: 12.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1648097 or -1648100?\nAnswer: -1648097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 49 = j, -3*c - 41 = 3*j - 158. Let b(o) = -o**3 - 5*o**2 + 5. Let p be b(-4). Is 3 a factor of (-167)\/p + (-8)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -60*v - 39. Let u(a) = 3*a + 2. Let r(z) = -6*d(z) - 117*u(z). Suppose -1 = y - 3*y + 3*c, 5*y - c + 4 = 0. Calculate r(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:06 AM and 9:44 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 41*b**4 - 20*b**4 + b**4 + (-2*b + 5*b - 4*b)*(0*b**2 + 0*b**2 - b**3) as f*b + d*b**2 + h*b**4 + v*b**3 + g and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d**3 + 18522*d**2 + 18517*d = 0. What is d?\nAnswer: -18517\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 1728*g**3 + g**2 - 4*g - 7. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 3*v = 11, 4*j - 3*j - 4*v = 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - 2. Let u be (-5)\/y*12\/10. Suppose 0 = 6*x - u*x - 6. What is the least common multiple of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5246790 by 10.\nAnswer: -524679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 465673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 56100 and 7310?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 3*h**2 - 2*h - 4. Let f be o(-4). Let k be f\/(-8)*-30*1. Calculate the highest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -16954.7, -4\/3, 5.5, -3, 2, 0.2, -4?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 27*a - 21*a - 14*a + 4*y, -116 = -40*a + 2*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*a - 3*a - 12. Suppose 2*y - 121 = -0*y + 3*j, 240 = 5*y + 5*j. Suppose -a*n + y = 17. What is the smallest common multiple of 10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 9*a + 1. Let n(j) = -8*j - 1. Suppose -29 = -2*q - 3*z, -14 = -q - z - 2. What is q*n(d) + 6*t(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = 4*c + p + 8, 0 = 3*c + p + 5. What is the second smallest value in -5, c, -3\/2, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -59*d + 13. Is 41 a factor of t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17599.7 rounded to the nearest one hundred?\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 100.554 rounded to 0 decimal places?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, q: 1, i: 2, k: 1, y: 2}. Give prob of picking 1 i and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 104.6 and -0.2.\nAnswer: -20.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19.01 - 229.39. Let h = k - -248. Let f = -2 + 3. Which is the closest to f? (a) 0.3 (b) 2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 42762264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 207 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64079 and 254933.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3485 - 1034. What is the highest common factor of 86 and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - (3 + 5 + -6) - (103 + -255).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 8*g + 55. Let n be 165\/(-22) + 2\/(-4). Determine o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 136 divide 697680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*x**4 + 38*x**2 - 9955*x + 748378 wrt x?\nAnswer: 8*x**3 + 76*x - 9955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6605.1 minus 0.68763?\nAnswer: 6604.41237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6428516*r + 6428516*r + 7*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 215\/(-129)*(-24)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -417 + 17 = -12*m + 2*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 15336420 (base 7) to base 15.\nAnswer: 1e10c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -193.5 + 191. Let x be ((-729)\/(-12) + -3)*-4. Let m be 7\/(-3)*(-22)\/x. What is the nearest to 0.1 in -0.1, m, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 256, 279, 316, 373, 456, 571, 724?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9*(3 - (-29)\/3). Is w - 2\/((-2)\/(-3)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 5*g**2 - g - 4. Does 13 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z**2\/5 - 2234*z\/5 + 1247689\/5 = 0. What is z?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 911618994 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1157 or 1197?\nAnswer: 1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 8. Let i(c) be the second derivative of -c**5\/20 - c**4\/12 + c**2\/2 - c. Let f be i(n). Sort 0, 1, f in ascending order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 211 or 3387\/16?\nAnswer: 3387\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 352316 is divided by 117414.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) -2 (b) 0.06 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 5*l + 2*l - 1131, 0 = -5*l + 15. List the prime factors of s.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*i**3 + 19*i**3 - 722*i**2 - 5 + 41*i + 718*i**2 - 2*i**4 - 27*i**3 to the form r + q*i**2 + u*i**3 + v*i**4 + k*i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0030112515 to 6 decimal places.\nAnswer: -0.003011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -158, -173, -206, -263, -350, -473?\n\"Answer: -x**3 - 3*x**2 + x - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 12:05 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 10 = 5*r, -3*r + 3*y + 18 = -0*y. Let c be 2\/(-8) + 5\/r. What is the units digit of 8\/1*(0 + c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 8*v + 9. Let s(f) be the third derivative of -f**6\/15 + f**5\/30 + f**4\/24 + f**2. List the prime factors of s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o + 5. Suppose 2*g = 2*z - 4, 2*g = 7*g - 2*z - 5. Let q be k(g). Let x = 1 + -1. Solve x*l + 8 = -q*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-775)\/(-66))\/((-4)\/30). Let t = z + 349\/4. Find the common denominator of t and 23\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 4*m = -3*y - 2, -2*y - 6 = -3*m. Suppose 0*f - m*f + 3*t + 75 = 0, -f + 5*t + 20 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 10\/45 - -14*(-25)\/(-45)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 5*p**4 - 2075*p**3 - 433125*p**2 - 25485625*p - 482487500 = 0.\nAnswer: -55, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4\/11 (b) -1\/3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 116274 + -45907. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 316712733 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2\/1 + 6\/(-6) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/3, -19\/5, -10\/17, 1\/4?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-19)\/((-1938)\/357)*16\/(-49)*2\/(-4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.8 + -2.2. Let f = -8.4 + 10.4. What is the third biggest value in f, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 + 9. Suppose 2*b - 3*b + 4 = -v*c, -5*c - 9 = -4*b. Suppose 0 = -r + 16 + b. What is the remainder when 32 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2115, 6405, 10673, 14919, 19143?\nAnswer: 23345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 359203019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -89 + 135. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-398)\/(-12) - 2\/12. Suppose 3*u - 5*l - 8 + 51 = 0, -x = 3*u - 3*l. Let d(p) = -p**3 - 7*p**2 - 4*p + 7. Give d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*x + 2*x + x)*(-12 - 7 + 12)*(-5*x - x + 4*x + (-4*x + 2*x + x)*(-3 + 4 + 1) - x + 0*x - x)*(12 - 37 + 5).\nAnswer: 840*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 2993*h + 59878. Determine b(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 2*g - 4*g)*(-g - 4*g + 3*g + (g + 2*g - 5*g)*(3 + 1 - 3)) + 2*g**2 - 1 + 1.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -4, 2\/7, 1, 3, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -5*t. Let j(u) = -u**3 + 21*u. What is -2*j(d) - 9*v(d)?\nAnswer: 2*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 23813*h**4*x - 2604*h**4 + 17*h**2*x - h**2 - h*x + 72*h + 16*x - 13 wrt h.\nAnswer: 571512*h*x - 62496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + 21 - (-1 - (1 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1111001111000 (base 2) in base 8?\nAnswer: -17170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 557732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 PM and 5:22 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -5*q + 255. Let r(p) = 12*p - 28*p + 4*p + 3*p + 11*p. Give w(r(i)).\nAnswer: -10*i + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 4*r + 3 = 2*i, -i = -r. Let k be (-22)\/(-5) - 4\/10. Sort i, -4, k in ascending order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**2)**24*h\/h**(-1\/2)*h*h**(5\/3)\/h assuming h is positive.\nAnswer: h**(307\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1165368093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 4*t + t**2 - 3226 + 3230 + t. Calculate a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -96.\nAnswer: -5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 294857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from qqqiqitiqiqtqiiiiq.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -1395*k + 18 = -4*y - 1393*k, -5*y + k = 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-24) - 38\/12. Let p = 2 - t. What is the units digit of 250\/4 - p\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 36*b - 2 + 901*b + 2 - 420*b as g*b + p and give g.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5540.801l in millilitres?\nAnswer: 5540801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/881764 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 2*c = 12. Let k be (-3528)\/(-12)*(-4)\/c. Let v be 0\/(-2) + (-28)\/k. Put -4, 19, v in descending order.\nAnswer: 19, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -48, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(3\/2)*f*f)\/(f**(1\/4)\/f)*(f\/f**(2\/7))\/(f*f**(-8))*(f\/(f\/(f*f*(f*f**(1\/2)*f)\/f)))**(-14\/3)*f**(1\/3)\/f*f\/(f**(-1\/12)\/f) assuming f is positive.\nAnswer: f**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66 and 5018574.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -8 + o - 2*o - 3*o. Let g be (-10)\/8 - (-5)\/(20\/(-3)). Let m(b) = -b - 2. Give g*c(t) + 9*m(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -3*f - 25. Let v be p(-9). Suppose 20 = -3*k + 7*k. Sort 7, v, k.\nAnswer: v, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 24767435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -0.6 (b) -5 (c) -1\/12 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1014741079 to the nearest integer?\nAnswer: 31855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 185158, 185306, 185456, 185608, 185762, 185918, 186076?\n\"Answer: z**2 + 145*z + 185012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**2 - s**2 + s**2)*(-35 - 36 + 72) - 2*s**2 - s**2 + 0*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4 + -8 - (-8 + 1). Suppose y + 2 = z. Let c be 85\/(-20)*(y - 5). What is the highest common divisor of c and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -267222, -267223, -267224?\nAnswer: -267225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 - 6 = -3*n + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -101948, -407935, -917912, -1631879, -2549836?\nAnswer: -3671783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -346 by 1.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2\/23 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144843 is divided by 317.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g + 4*g + 5*u - 143 = 0, -4*u = 20. Let t = -104 + 64. Are t and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*n**2 - n**2 - 4*n**2)*(2 + 0 + 0) + (0*n + 0*n + 2*n)*(1165*n - 22 + 3 - 1160*n).\nAnswer: 6*n**2 - 38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*m = 34*m. Solve -4*g + m = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.288507 tonnes to nanograms.\nAnswer: 8288507000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -1\/4, 1, 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 3*l + 2*l - 4*l + 3. Calculate the smallest common multiple of 24 and d(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -12*z + 53. Let x be q(3). What is the common denominator of 107\/12 and ((-9)\/6)\/(-37 + x)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + 2*q - 3. Suppose 14 = -32*y + 110. Calculate g(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 32 and 28112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8*i*m**3 + 1401*i - 15*m**4 wrt m.\nAnswer: -24*i*m**2 - 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 390*f - 275*f - 2363940 = 0. What are the prime factors of f?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 31 (base 10) to base 2.\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-165)\/42350)\/((-438)\/3212)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7*d**5 + 2*d**4 - 56011*d**3 + d**2 - 15754*d - 28?\nAnswer: -420*d**2 + 48*d - 336066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 80*w**3 + 82*w - 82*w + 12*w**2 - 23*w**3 wrt w.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 3 - 2)*(2*r - r + 2*r)*(r - 2*r + 3*r)*(-3 + 0 + 2)*(17 + 8 - 12) to the form k*r + j + l*r**2 and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 164?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the third derivative of -181*s**5\/30 + 77*s**4\/8 + 523*s**2 + 2. What is the second derivative of y(d) wrt d?\nAnswer: -724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u + 4 - 0. Suppose 2*a - 2 = u. Suppose -6*z**5 + 11*z**3 + z - 4*z**4 + 4*z**a - 3*z**3 - 3*z = 0. What is z?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 2*h - 5280. Suppose -5267 - 3083 = 10*o. Let p = o + h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30 - ((-12 - -28 - -4) + -28) - (-3 - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -595 from 32524.\nAnswer: 33119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of t**6\/300 - 3*t**5\/50 - 7*t**4\/20 - 11*t**3\/15 - 53*t**2\/2 + 78. Let w(k) be the second derivative of g(k). Factor w(o).\nAnswer: 2*(o - 11)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 43387399 - 23724399. Round u to the nearest 100000.\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2 + 6*s - 4. Let j be k(5). Suppose v + j = -0*v. Which is smaller: 1\/26 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 356 = 4*w, -5*n + 248 = 5*w - 107. Let j = n + -69. What are the prime factors of ((-44)\/(-16))\/(11\/(-4) + j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 134*v - 991 = -17*v + 620 + 503 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + y + 14, -2*y + 6 = r - 2. Solve 5*j + 31 = -r*d + 28, 5*d - 3 = -4*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -8061*k**2 + 6348. Let p(d) = -2687*d**2 + 2117. Let x(f) = 17*p(f) - 6*u(f). Find the first derivative of x(t) wrt t.\nAnswer: 5374*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4689 divided by -28?\nAnswer: -4689\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {q: 4, o: 4, y: 4, t: 2, s: 2, i: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + (53 - 60) + (9 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4\/20 - (-32)\/8*(-37)\/(-10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 179 - 184 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*u + 7. Suppose -3*k - 3 + 12 = 0. Let q = u + k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 18\/4*744\/837. Solve -10 = r + 5*n - 15, -m*r = -5*n - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 27*m**2 + 13*m + 39. Give g(-28).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence epg when three letters picked without replacement from gehgghgphhggpghphg?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.8194 - 1.6325. What is a rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 358367746*o**2. Let p(r) = -r. What is b(p(n))?\nAnswer: 358367746*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2704.5 + 2704. What is the nearest to 0.2 in f, 29, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22889, 22894, 22901, 22910, 22921, 22934, 22949?\nAnswer: 22966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 41 + -26 + (45 - -24).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -17 * 6\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*l - 23*l = -7805. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -92*b**3 + 77*b**2 + 165*b - 22. Let l(y) = 62*y**3 - 49*y**2 - 110*y + 14. What is 11*l(q) + 7*s(q)?\nAnswer: 38*q**3 - 55*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -662*i + 1 - 1 + 830*i to the form s + a*i and give a.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 - 2 - -11*1. Suppose -2*h = -4*j, 0 = -0*h - 2*h + j - 15. Let w be -3 - (h + 3)\/1. What is the greatest common divisor of r and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(2736) + 1 + 0 + 5 - (3 + (sqrt(2736) - (0 + sqrt(2736))) + 4 + sqrt(2736) + 1)) + -4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.8974 and -508.\nAnswer: -455.8792","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:32 AM and 2:54 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 595, -3\/17, -0.04, 7, 4\/3 in decreasing order.\nAnswer: 595, 7, 4\/3, -0.04, -3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 4*z**2 + 1334*z + 20189. What is n(-16)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -209*n**3 - 375*n**3 - 77*n**3 + 81*n**3.\nAnswer: -580*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 213800*n*t*w**3 - 3*n*t - 122*n*w**2 + n - 510*t*w**3 - 3*t*w**2 + 3707*t*w wrt w.\nAnswer: 1282800*n*t - 3060*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*o**5 - 740*o**4 - 26756*o**3 - 117672*o**2 - 62730*o + 207900 = 0. What is o?\nAnswer: -330, -35, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 218545 times -0.1\nAnswer: -21854.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**2\/7 + 4273*t\/7 - 8550\/7 = 0. Calculate t.\nAnswer: -4275, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/(x\/x**(-2\/43))*x**(-9\/5)\/x assuming x is positive.\nAnswer: x**(-612\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.9152 - -51.7.\nAnswer: 54.6152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7815 or 7814?\nAnswer: 7815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 5*y + 1409 = 0, 5*s = 316*y - 319*y + 3475. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -16118*y. Let u(l) = -14*l + 5. Give u(c(f)).\nAnswer: 225652*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29701 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -41369406*t**5 - 3*t**2 - 11021644*t.\nAnswer: -2482164360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/384250 and 59\/100.\nAnswer: 768500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -2\/6715?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 24022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*q - 5*q**4 - q**5 + q + 5*q**4 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 3:14 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((-1*sqrt(104)*4 - sqrt(104))*1)\/(sqrt(8) - sqrt(504)\/sqrt(7) - 4*((sqrt(8) - sqrt(72)) + sqrt(8))).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -304062 by -101354.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1332562350 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -343, 0.1, 2\/86191 in descending order.\nAnswer: 4, 0.1, 2\/86191, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes after 10:26 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.2 - 3. Let j = m - -0.3. What is the smallest value in j, 0.5, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + (8 - (-11 + 14 + 2 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2015, -2030, -2045?\n\"Answer: -15*a - 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.19 and 0.7572427.\nAnswer: -0.143876113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 31 - 59 + 28 + y. Let l(g) = -21*g. Calculate q(l(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1403 - -516. Let k = -887.000594 - z. What is k rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4*-0.198\nAnswer: 0.0792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -4*i**2 - 472*i - 13855. Determine p(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*h, -4*w - 435*h + 433*h = -428. What is the remainder when 4407 is divided by w?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -4580 + x**2 + 2284 + 2268 - 8*x. What is i(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t - 4. Let b(z) be the first derivative of 22\/3*z**3 + 13 + 1\/2*z**4 + z**2 + 14*z. Let p be b(-11). Give q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:43 PM and 1:06 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/((j**(5\/2)\/j)\/j*j*j))**(-37) assuming j is positive.\nAnswer: j**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 5. Let b(z) = 65*z + 7 + g + 9 - 82*z. Is b(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 870 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 2 b when four letters picked without replacement from lllblllllbl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1008) + -2)*4.\nAnswer: -8 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/4)\/((-141)\/(-188))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 - -10*(-4)\/(-16))*-6. Suppose 9 = n - g, -b*g + 3 = -2*g. What is the least common multiple of 56 and n?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -2*c + 2. What is f(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 363548304 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*m = -12*m + 186. Let a = -62 - m. Suppose a = 3*b + 2*o - 418, -b + o - 5*o = -136. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the first derivative of 0*p**2 + 2\/3*p**3 - 8 + 0*p + 1\/6*p**6 - 1\/4*p**4 - 2\/5*p**5. Factor i(a).\nAnswer: a**2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-31)\/(2635\/153))\/((-2)\/(-10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 40950 at most 40311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - (6 - -6 - 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of c**3\/6 + 11*c**2 + 1122*c. Calculate o(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 6*(sqrt(7) + -1 + 1) + -2*(sqrt(567) + sqrt(567) + (sqrt(567) + 3)*-1)**2.\nAnswer: -1157 + 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u. Let n(k) be the second derivative of -k**6\/720 + k**4\/6 - k. Let j(d) be the third derivative of n(d). Determine o(j(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/30*(40\/6 - (-2898)\/(-378)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, w: 6, l: 8, m: 2}. What is prob of picking 3 l and 1 m?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**2 - 6*g - 3824. Let h(o) = -15*o. Calculate m(h(n)).\nAnswer: 225*n**2 + 90*n - 3824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 + 10*q**2 - 9. What is the tens digit of z(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbh when three letters picked without replacement from {b: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -4*s**3 + 9*s**2 - 2. Let n(k) = -3*k**3 + 8*k**2 - k - 2. Let g(j) = -2*m(j) + 3*n(j). Let a be g(3). Solve -a = -2*t - 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16861 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 5*i = -8. Find the third derivative of 2*f**4 - 5*f**2 + 2*f**i + 4*f**2 wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 0*u + 25 = 0. Suppose -4*f + 19 = u*b - 3*f, 4*b + 3*f = 13. Suppose b*q = -n + 27, 7*n - 45 = 2*n - 2*q. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2246*t - 11353. Give j(5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -84 + 197. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22588 - -22608. Calculate the smallest common multiple of 1164 and m.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -499, -537, 321, 2519, 6501, 12711, 21593, 33591?\n\"Answer: 74*w**3 + 4*w**2 - 568*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*1*(sqrt(1815) - (sqrt(1815) - -1*sqrt(1815))))\/((sqrt(24) + sqrt(384))\/(sqrt(10)\/sqrt(20))).\nAnswer: -11*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: d61d73 (base 14) to base 5\nAnswer: 3322240401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 94\/18 + 2\/(-9). Suppose 0 = u*t - t. Suppose -10 = -5*x - 5. Do x and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-393)\/(-8) - -5 - ((-24)\/(-3))\/64. What is the greatest common factor of w and 1863?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and -0.1234.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1062082ug in nanograms?\nAnswer: 106.2082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -987 (base 12) to base 5\nAnswer: -21044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1319042 <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-6))\/(114\/171*(-2)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*g - 22*g = -b - 44, -2*g + 4 = 3*b for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 157*n = -17*n + 49*n + 5087375000. Round n to the nearest 100000.\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + 2*w - 3. Let a be i(2). Let v be 0 - (8\/a)\/(-2). What is the nearest to 0.1 in -0.3, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -938 divided by -2521?\nAnswer: 938\/2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 198 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve x**2\/4 - 2533681*x\/2 + 6419539409761\/4 = 0 for x.\nAnswer: 2533681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 5*n = -4173 + 45654, 5*p - 2*n - 69073 = 0. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 4*n = n + 52, 39075*n = -2*u + 39072*n + 78 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.1 and -63660115510.\nAnswer: -63660115509.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 6*r + 5. What are the prime factors of s(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37548, 75086, 112624, 150162, 187700, 225238?\nAnswer: 262776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 207?\nAnswer: 4\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**5\/5 - 64*s**4\/5 + 228*s**3\/5 + 1088*s**2\/5 + 1226*s\/5 + 432\/5 = 0. What is s?\nAnswer: -1, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/10 and -83\/1369536.\nAnswer: 6847680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -79 + 85. Suppose -2*v - m*a + a + 259 = 0, 3*a = -3. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -3718\nAnswer: 1\/1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*k - 4*k + 3*k)*(-1 - 3 + 2) + (4 + 0 - 2)*(-2 + 2 - 3*k))*(-41 - 22 - 12).\nAnswer: 750*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 50*q**2 - 1090*q - 112. Determine d(22).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -385561 = -2*n - 4*i + 1515, -4*n - 2*i + 774158 = 0. Round n to the nearest 1000.\nAnswer: 194000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7726692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 3801 divide 3548625003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) -11 (b) 0 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -68*p**2 + 33*p**2 + 33*p**2. Let w(t) = -289*t**2 + 2*t. What is w(o(d))?\nAnswer: -1156*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.02 * 0.28.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b**3 + 9*b**2 + b + 9. Suppose 21 = 2*k + k. Let z be h(k). Suppose a + l - z = 0, 0*l = -2*a + 4*l + 2262. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153633 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 3 y when four letters picked without replacement from {k: 4, i: 2, y: 10}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 1506.027 centuries to months.\nAnswer: 1807232.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, -0.031, -4 in descending order.\nAnswer: 2\/3, -0.031, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 946*u - 2808 = 1050*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (30\/75)\/(2\/(-40)). Let a be (n\/3)\/(6\/(-9)). Calculate the lowest common multiple of 1 + (-2 - -10)\/a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000029865 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-14)\/8 + 1 - 412\/(-16) and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (48\/108)\/((-26)\/(-1118)) - 2*(-4)\/(-72).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -128647.26 to the nearest 100.\nAnswer: -128600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 502 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*v = -18*v - 14*v + 4*n - 64, 7*v - 2*n = 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60*x + 0 + 47*x - 6 + 5.\nAnswer: -13*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 110771672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*m**5 - 4*m**4 - 26*m**3 - 13135*m wrt m?\nAnswer: 60*m**3 - 48*m**2 - 156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 22945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -1.1?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b - 11*b + 34 = 0. Let q(y) = -y - 9. Let r be q(8). Let w = r + b. Let u(g) = g - 6. What is u(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(475)*2*3*4)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2*(-2)\/8*-514 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-430)\/(-35) + (-4)\/14. Let u = 232 + -216. Let g be ((-6)\/d)\/(2\/u*-2). Solve -4*h = -g*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - -13220133?\nAnswer: 13220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 16 - 41 = 3*f, -3*f = -v + 21. Suppose -3*m = 3*h + 27, 2*m = 5*h - 4 + 28. Let r(b) = -7*b - 8. What is the remainder when r(h) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1222554870 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4 and 715199359.\nAnswer: 715199359.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -5*y**2 + 4*y + 5. Let a(n) = -11*n**2 + 9*n + 9. What is -3*a(w) + 7*x(w)?\nAnswer: -2*w**2 + w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 631623368 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 - (31 + (-22 - -10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7.15 - 0.15. Let d = 6.4 - r. Let j = -0.4 - d. Which is the smallest value? (a) -5 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6867997, 6868012, 6868027, 6868042, 6868057?\n\"Answer: 15*p + 6867982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(171) + sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171) - sqrt(171))*3 + sqrt(171))*4)\/(sqrt(45)\/(sqrt(30)\/sqrt(6)) - sqrt(63)\/sqrt(252)).\nAnswer: 384*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * 966.\nAnswer: 4830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 422*m = 404*m. Let h = 360 - 60838\/169. Is m less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2aa - -4792?\nAnswer: 4a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45048 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -4*d**3 + 4*d**2 + 6*d + 6. Calculate the lowest common multiple of 24 and m(-2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87352967 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -134982 take away -3?\nAnswer: -134979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + 2*c**4 - 3*c**4 + 3*c**4 - c**4 + (-3*c**3 + 5*c**3 - c**3)*(2*c + 4*c - 4*c) + 0*c**4 - 3*c**4 + c**4 + 29*c**4 + 29*c**4 - 57*c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w + 10. Let d be k(7). Let t = d + 5. Suppose -t = -5*x + 2*r + 111, x - 29 = 3*r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6654860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-2)*(-5)\/(-15)*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 2*i**3 + 338*i**2 + 4046*i - 1555. What is u(-156)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -753 + 3752\/5. What is the common denominator of w and (-31)\/(-11) - 0 - -2?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/r**(3\/5)*r*r**(-2\/5)*r)\/(r**5\/r**(1\/5)) assuming r is positive.\nAnswer: r**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/25, 56\/33, -1?\nAnswer: 56\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f - 15 = -3*f - 3*a, -2*f - a = -7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16413*q**2 - 1396*q + 1 wrt q.\nAnswer: -32826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10321*0.97.\nAnswer: -10011.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -9*w**3 - w**2 + 2*w - 1. Let i(v) = 10*v**3 - 3*v + 1. Determine 2*i(r) + 3*z(r).\nAnswer: -7*r**3 - 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/((164\/902)\/(15\/(-33))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7381691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5817205 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 10 = 4*g + q, 2*g = 4*q - 20. Solve 4*p + 5 - 17 = g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**3 - 14*d**2 + 14*d + 231. Determine n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - 0*x + 140. Let o = 166 - x. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.7 + 3. What is the third biggest value in 0.4, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4\/39749 - -20788787\/596235. Let n be 4\/(-14) - (-4852)\/(-168). Let t = n + d. What is the common denominator of t and 11\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 2) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 2*f - 3 + 3*f - 2*f. Let r = 9 + -7. Suppose -y + 5 = 2*u - r*y, -u + 10 = 2*y. Determine g(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 16*s + 6. Let f(y) = -y**2 + 23*y + 189. Let x be f(29). Suppose 30 = -x*j - 30. Calculate p(j).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 6, y: 3, g: 4}. Give prob of sequence ayg.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-340*w + 144*w + 55*w)*(-4*w**2 - 3*w**2 + 4*w**2)*(-2 + 2 + 2*w)*(-2 + 2 - 2).\nAnswer: -1692*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -21 * 6883.\nAnswer: -144543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -134*d + 23183. Let j be f(173). Let x be 43\/(-5) - (-4 + 2). What is the fourth biggest value in j, x, -1\/4, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 2*c - 30 = -3, -3*z - 4*c = 27. Suppose 0 = -2*q - 2*i + 164, q - 3*i = 5 + 73. Let d = q + z. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.2 (b) -61 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 - 7 - 25*g**2 - 27*g**2)*(-3*g + 2*g + 0*g) to s*g + t*g**2 + j*g**3 + u and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (-31 + 16 - -12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/(w*w**(-9)\/w*w)))**(2\/9)*(w*w**2)\/((w*w**9)\/w))**48 assuming w is positive.\nAnswer: w**(-1120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2244575964.\nAnswer: 2, 3, 187047997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 41 + -27. Let m be (-58)\/(-7) + (-4)\/q. Suppose l + 6 = 18. What is the highest common factor of l and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, 11897, 4.\nAnswer: 0, 4, 5, 11897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28.46489 - 1.94149. Let v = -0.048 + -26.452. Let x = g + v. Round x to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 + 9*i + 1. Let o be q(-9). Let w be 1 + o + (6 - 6). Let m(g) = -g**3 + 3*g**2 - 3*g + 3. What is the units digit of m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.386906 centuries in years?\nAnswer: 738.6906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*w**2 - 14*w**2 - 12*w**2 - 3*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 51919 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -66 - -34. Let u = -33 - j. Which is bigger: u or -34?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.04949 and 767.\nAnswer: -37.95883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 3*y = -3*t, y + 4*t = -25. Suppose 45 = 62*h - 47*h. Is y + h + (1560 - 0 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -629 - -1034. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10701459.13422 - -10702277. Let d = -825.3657859 + s. Let t = d + 7.5. What is t rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2277118939.\nAnswer: 26387, 86297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 1558 - 109*s**2 - 1558 + 2*s**4 + (1 - 1 + s)*(4*s**3 - 2*s**3 + 0*s**3).\nAnswer: 4*s**4 - 109*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + 0.1. Let q = -7.1 - -7.07. Is q less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 45*f + 496. Let y be j(-11). Put -2, y, -3, -1 in descending order.\nAnswer: y, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21641?\nAnswer: 17, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h - 13 = 5*p, -4*p - 17 = 7*h + 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 12 = 28. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -922238, -923423, -924594, -925745, -926870?\n\"Answer: w**3 + w**2 - 1195*w - 921045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17102391.\nAnswer: 3, 17, 335341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2755*t + 84792 = -129948 - 87606 - 72334 for t.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7086190*w**3 - 7325925*w**2 wrt w.\nAnswer: -42517140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) -23\/3 (b) -1\/4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 553.0963 kilometers?\nAnswer: 55309630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 26549060 divided by 20?\nAnswer: 1327453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4518 divided by 1.\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + 4\/(12\/(-21)). Let b be (-2 + 0)\/(o + 4). Let c = 100 + -67. Solve -3*s + 4*k = -8*s - c, -2*s + 4*k = b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(99) + (sqrt(99)*-1 - sqrt(99))*-4)\/(sqrt(36)\/sqrt(4)*2))**2 + 3.\nAnswer: -9*sqrt(11) + 907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -21*a + 19 - 19 - 6*a + 3*a + 2*a + (0*a + a + a)*(-3 + 5 - 1).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 + -11. Suppose c*z - 3*m = -47, 0 = 2*z - 0*m - 2*m + 22. Let v = z - -17. Solve n + v = -0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 5*c - c = -284, -4*a - 274 = -c. Round a to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2613?\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 - 3*r - 26. Let y(w) = w**2 + 2*w + 17. Calculate 5*s(i) + 8*y(i).\nAnswer: 3*i**2 + i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x. Let s = 415 - 118. Let p(q) = 0 - 381*q**2 + 0 + s*q**2. Calculate g(p(w)).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes after 5:19 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 69 = 3*j, 22*p - 2*j = 20*p + 26. Let f(k) = -k**2 + 5*k + 4. Calculate the least common multiple of p and f(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -335\/6278 - -1\/146. What is the third biggest value in -2, b, 4, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -b8ccba (base 15) in base 2?\nAnswer: -100001100100110011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes before 2:16 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 156554987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be 48\/(-32) - (-2)\/4. Let h(s) = -s**3 - 141*s + 141*s. Let w(u) = -8*u**3 - 2*u**2 + 2. Determine x*w(k) + 6*h(k).\nAnswer: 2*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -305 divided by -16.\nAnswer: 305\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = -2*j - 4*i, 35 = 5*j + 1037*i - 1032*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5998.911 - 5999. Let u = -2686 - -2681.911. Let f = b - u. Put -6, f, 1\/10 in decreasing order.\nAnswer: f, 1\/10, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 + 2 = -7*y. Let h be 3*(y\/(-6) - (-12 - -13)). Solve 1 = -t + h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 - -29. Let x = -5 + u. Suppose -w - x*w + 52 = 0. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 127414 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 - 12. What is the third derivative of -9*k**3 - 217 + 217 + a*k**2 wrt k?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -86 + 111. Find the third derivative of -4*b**5 - 2584*b - 15*b**5 + 2584*b - d*b**2 wrt b.\nAnswer: -1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 5027*j - 51252. Calculate l(10).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 234, 4\/5, -3 in ascending order.\nAnswer: -3, 4\/5, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 5*p**2 + 185*p. Let q be f(-37). Solve -5*d + 10*d + m + 12 = q, -d = -5*m + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zttttttzuttttzt. What is prob of picking 3 t and 1 u?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - -1)\/(12\/40). Suppose -3*x + v = -c, -14 = -5*x - 2*c + 3*c. Find the third derivative of -u**4 + u**x + u**4 + 2*u**4 + u**4 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 4 + 0)*(-2 + f + 2)*(-4 + 2 + 0)*(-4*f + 0*f + 3*f)*(-14 - 3 + 6)*(0*f + f**2 - f - 2*f**2).\nAnswer: 22*f**4 + 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*h - 40*h**2 + 3*h**2 - 3*h + (-2*h - 4*h + 5*h)*(3*h - 2 + 2) - 3*h**2 + 2*h**2 + 3*h**2 - 4*h**2 + h**2 + 0*h**2.\nAnswer: -41*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 78976, 79045, 79114?\n\"Answer: 69*x + 78907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -10211031311 (base 4) to base 7.\nAnswer: -13131332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10079930, 20159858, 30239786?\nAnswer: 40319714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-90))\/(38\/(2736\/12)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 608 a factor of 1411776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 751381044 to the power of 1\/3, to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1276601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.14 - 183.86. Let m = i + 194.4. What is m rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -3, 0.18, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.18, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1540728667 a multiple of 2966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*w - 22 = 35*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 455 is divided by (-59)\/(-4) + -3 - (-24)\/96.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - l = 2 - 10, -3*t - 16 = -5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.3 - -466226.81\nAnswer: 466226.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 - 2*q**2 + q + 8. Is 26 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1013528.00264 + -1013600. Let n = u + 72. What is n rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -4*r + 116, t - 22 = -r + 7. Suppose 12 + 4 = -3*u + 5*k, 0 = -3*u - 5*k + 34. Calculate the common denominator of -115\/12 and u + -4 - r\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 20\/(-6)*-2*126\/35. Suppose -2*g + 4*l + c = -g, 0 = 2*g + 5*l + 4. Calculate the remainder when 20 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 50\/100*8*1. Suppose y + 283 = 3*b, m*y + 76 = 36*b - 35*b. What is the lowest common multiple of b and 60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 109 - 99. Suppose i = 3*n + 2*n. Find o such that 0*o + 4\/3*o**5 + 2\/3*o**n + 0 - 5\/3*o**4 - 7\/3*o**3 = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1559 - 1552. Let v(h) be the second derivative of 1\/50*h**6 + 1\/60*h**4 + 0*h**3 - 3\/100*h**5 + 0 + 0*h**2 - 1\/210*h**l - 14*h. Factor v(t).\nAnswer: -t**2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 597*h**2 + 22*h - 7. Let j be m(4). Suppose -j = 5*p - 18*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -16*p + 11*p. Let h be (-6)\/p*(-108)\/81. Solve -15 = -3*x, h*x - 7 = 3*w - 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13212 (base 4) to base 10.\nAnswer: -486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18 - 13. Let x(s) be the first derivative of -s**2\/2 + 2*s + 1. Let h be x(g). Sort 5, h, -5 in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -3. Suppose 3*j + m = 1, -31 = -a*j - 0*j + 5*m. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes before 6:29 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -496 = -2*u + 4*q, -4*u + u + 753 = -3*q. Suppose 8*j - 4190 + u = 0. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q + 5*q + q)*(-q**2 + 2*q**2 + 2*q**2)*(0 - 4 + 3) + (2*q**2 + 0*q**2 - 4*q**2)*(19 - 13*q - 19).\nAnswer: 23*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20\/33 + -25\/11. Sort -9, 4, 1, z in descending order.\nAnswer: 4, 1, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbld when four letters picked without replacement from lblbldb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 35 + 8*g + 9 - 3 + 45. Determine v(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qlllkhhqlqhqhqhl. What is prob of picking 2 l and 2 h?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-24 + 12 + 4*g - 2*g)*(549 - 126 + 727 + 36 + 1334).\nAnswer: 5040*g - 30240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -41914, -42000, -42134, -42304, -42498, -42704?\nAnswer: -42910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 - 2*w**2 - 4*w - 2. Let d be k(4). Let a = d - 12. Suppose -2 = -a*m + 3*n, 4 = -2*m + n + 10. Solve 5*x + 2*r - m = 1, r - 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - -169?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3464*l + 24243. Give n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -121200 (base 3) to base 10\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/5 - 5573473*y\/5 + 5573472\/5.\nAnswer: (y - 5573472)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5683351, 5683309, 5683269, 5683231, 5683195, 5683161, 5683129?\nAnswer: 5683099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmmmxmmxmmmxmmmxmmm. Give prob of sequence mxxx.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 16) + 171 + -155 - (-1 - 39)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5 = 2*c - 0*c, 3*c + 24 = -4*z. Let y be -1 - (-1 + z + (-5)\/(-2)). Is y equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2169 * 0.3\nAnswer: -650.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29 + 10. Let h = 24 + j. Solve 0 = h*o + 12 + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d. Let s be b(0). Suppose -5*g = -5*w - 114 + 4, s = -g - 2*w + 34. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*((-16)\/((-320)\/180) - 23*1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24 + 33. Suppose -p - 3*p = -60. Calculate the remainder when t is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 391a19 (base 13) to base 2.\nAnswer: 101001111101001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 0*d**4 - 5*d - d**4 - d wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((1323\/(-84) + 15)\/9)\/((-34)\/24 - -1). Factor -i*p + 1\/5*p**2 - 2\/5.\nAnswer: (p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3*t**2. Let u be (367\/3)\/(8\/48). Let c(x) = -u*x + 734*x - 3*x**2. What is n(c(f))?\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, e: 2, h: 1, i: 1}. Give prob of sequence ebe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2472\/(-42) + (-1242)\/(-1449).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -472239 and -928?\nAnswer: 438237792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:37 PM and 6:18 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bkxbkxxkkxkkkkpbbpb. What is prob of picking 1 b, 2 p, and 1 x?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -50633\/6 - -8404. Let g = x - -175\/6. Calculate the common denominator of g and 1104\/189 + (-4)\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and -42030.\nAnswer: -42030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/4, 0.24, -166, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 6222743689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1886684 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 16, 4, -2, -1\/7, -740?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -631?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 + 10*v + 15. Let x be i(11). Let r = 13 - x. Solve -4*y + r = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1300) - 2*sqrt(1300)*3 - (5 + -2 + sqrt(1300)))**2 + (-3*3*(sqrt(1300) + -5))**2.\nAnswer: -7740*sqrt(13) + 154134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-8)*-5)\/((-85)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 9:21 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**2 - 5*u - 3. Let m be i(6). Let q = 56091 - 56089. Solve 3*a = -0*a - q*w - 7, m*a = 2*w + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 179 + -152. Let u be (-18)\/6*10\/(-3). Let a = u + -7. What is the greatest common factor of c and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1185 + 146. What is the remainder when g is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1475619?\nAnswer: 3, 491873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 83569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 5171a (base 15) to base 16.\nAnswer: 3f034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes after 1:42 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8680171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-11)\/(-110) + 5\/100*66098?\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 4*z**3 - 35*z**2 + 11*z - 94. Let o(n) = 2*n**3 - 16*n**2 + 5*n - 48. Determine 9*o(b) - 4*p(b).\nAnswer: 2*b**3 - 4*b**2 + b - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve w = -3*l + 6, 5*l + 3*w = 9*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**4 - 17*q**2 + q. Let j(r) = -2*r**4 + 20*r**3 + 593*r**2 + 3887*r + 8208. Let h(b) = 2*f(b) + 2*j(b). Find z such that h(z) = 0.\nAnswer: -6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 24*l - 16. Let u(x) = -5*x + 3. Calculate -3*s(b) - 16*u(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 113666 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4733 + -4730.74. What is the smallest value in f, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 0 + 11 + 2 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-101)\/(-5) - (-1)\/(-5). Suppose -4*a - 1 = -z + 3, 5*z + 2*a = i. Let c = -2 + 7. Solve 0 = 3*w + 6, 6 = c*u + z*w + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*t + 10 = 13*t. Suppose t*o - 27 = -7. Put o, 3, -1, -5 in descending order.\nAnswer: 3, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*g**4 + g**4 + 4*g**4 + (0*g**3 + g**3 + g**3)*(0*g - g + 2*g) + 2*g**4 + 0*g**4 + 0*g**4 + (-g + 4 - 4)*(1 - g**3 - 1))*(0 + 17 + 3).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 9480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, g: 2, a: 5}. Give prob of sequence xa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/10, -5\/4, -0.1347, 4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -24, -4, -1275139, -3 in decreasing order.\nAnswer: -3, -4, -24, -1275139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/124456 and -93\/332.\nAnswer: 10329848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 9*g**2 - 10*g + 54. Let y(q) = 17*q**2 - 20*q + 95. Calculate 7*l(v) - 4*y(v).\nAnswer: -5*v**2 + 10*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 7*i - 2530. Let b(d) = -d - 24. Determine a(w) + 6*b(w).\nAnswer: w - 2674","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6.491337 months in years?\nAnswer: 0.54094475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 92345556.8 to the nearest ten thousand.\nAnswer: 92350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2*r**3 - 17*r**2 - 8*r + 86. Let o be p(-7). Put 1, o, 1\/8, -156 in decreasing order.\nAnswer: 1, 1\/8, o, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes before 7:00 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -3*r**2 - 4*r + 1. Let o(l) = -l**3 - 19*l**2 - 218*l - 4. Let x(c) = -5*o(c) - 20*t(c). Find d, given that x(d) = 0.\nAnswer: -18, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 + 83*z - 58806. What is l(-287)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/90 and -19\/720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2 + 10128*w - 12822048.\nAnswer: -2*(w - 2532)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3.6459369 and 1?\nAnswer: 2.6459369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4572856.\nAnswer: 2, 509, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*z - 7*z + 6*z**2 + 2*z + 10*z to p*z**2 + d + y*z and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2191464 - 2190736 = -56*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 10*r**2 - 26*r**2 + r**3 + 26*r + 33 - 1 + 1. Let n be f(14). Solve 3*m + n = 5*y, 2*m = -2*y + 5*m - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - (50\/(-12))\/(-5). Let w be 2\/(-5) + 54\/60. Let u be (0 - -2)\/2 + 4. What is the biggest value in m, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes before 3:27 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -148*x + 136*x + 1956. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15869 = 4*t - d, -3*d = -3*t + 4209 + 7695. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 95213.51 decades?\nAnswer: 9521.351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -4, -7, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 8 + (41 - 51).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1224.94 + -91992.06. Let u = -92828.73 - p. Let g = u + -386. Round g to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -126 + 133. Solve -n + 18 = 4*v, v - b = -5*n + 6*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 46 + -37. Let j = -9 + b. Suppose -6 = -3*r - j. Put 5, 3, r in ascending order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5448 + -5444. Solve 0 = -w - j*a + 3*a + 5, -2*a = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 - 8. Suppose x - 4*w + 6112 = 0, -x - z*x - 18309 = -3*w. What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, m: 3, s: 5, t: 1, g: 2, o: 6}. Give prob of sequence gs.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqyqyaayyyyqqayaay. Give prob of sequence aay.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -2*u**2. Let t(g) = 13*g. Let b(y) = 3*y. Let k(x) = 3*b(x) + 3*t(x). Give k(w(o)).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 + -11. Suppose 4*f - 5*o = f - 2, -1 = -o. Let n = f + 15. Solve 0 = -j*k + k + n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18189 + 5996 - 2*b**3 + 5997 + 6196.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3124 + 722 - 6*l - 4*l - 338 + 14*l.\nAnswer: 4*l - 2740","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7330501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from myhfmnyhnmhahahm. Give prob of sequence fnm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x**2 + 15*x. Let k(s) = -s**2 + 10*s. Let o(j) = 4*f(j) - 6*k(j). Let g(b) = 1443*b. What is g(o(n))?\nAnswer: -2886*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 96099.9 millennia?\nAnswer: 96099900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -343 + 3*i**3 + 343.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27 + -23. Suppose 155 = n*r + 55. Suppose 2*l = 5*q + 9, 3*l + 0*q - 25 = -4*q. What is the remainder when r is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -280 divided by 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 + (-12)\/3 + 410 + 2. What is o rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -3 + -2 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*w + 8 - 7 - 43 to the form t*w + v and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 133 a factor of 27664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = 62*v - 63*v. What is the remainder when 127 is divided by v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 355 (b) -22\/5 (c) 453\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 7. Suppose -4*z + 2*z + 422 = b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from srssoroosrrsrosrrs. Give prob of sequence orss.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 3)*(-2*h - 2*h + 3*h)*(5 - 2 + 2)*(-6*h + 13*h + 16*h).\nAnswer: 115*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 2199*k**3 - 79164*k**2 + 13*k + 61. What is c(36)?\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14 - 26) + 38 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 AM and 11:51 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1518 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-19 - 574\/(-28))\/((-3)\/(-26)). Let g(w) be the second derivative of -w**3\/6 + 4*w**2 + 8*w. Calculate g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 6*g**2 + 5*g + 5. Let y be f(5). Solve 5 = -y*d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 AM and 8:38 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -9.243383636 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110010111001 + 1100?\nAnswer: -1110010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -326 = -5*b - 31. Let a = b - 58. Solve -11 = 5*f - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-200 - 2541822*l - 153 + 2541827*l)*(2*l**2 + l**2 - 5*l**2).\nAnswer: -10*l**3 + 706*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 19 + -8 + -7 - 2. Let 25\/2*m**3 - 1\/2 - 35\/2*m**k + 11\/2*m = 0. Calculate m.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42 - -45. Suppose 0 = 2*z - b*j - 16, z + 4*j + 40 = 5*z. Suppose -17*i = -z*i + 144. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1002*c - 1001*c - 2*v + 3 = 0, 2 = -2*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4988518cm in micrometers?\nAnswer: 4988.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1528, 795, 76, -623, -1296, -1937, -2540, -3099?\nAnswer: -3608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -579, 4, 0, 3, -83.\nAnswer: -579, -83, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -104843000 to the nearest one million.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4024 = 8*y - 11*y - r, 6704 = -5*y - 3*r. Let p = -730 - y. Let h = -378 + p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u + 13. Let n be j(0). Suppose 4*m = -2*t + 14, -5*m + n = -2*t + 3*t. Which is the closest to 2\/3? (a) -2\/23 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 + 0.4. What is the second smallest value in 4, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 6*c**2 - 1. Let w be g(1). Let o(l) = -l**3 - 3*l**2 + 3*l - 3. Let z be o(-4). Suppose 62 - 57 = -u. Sort w, u, z in increasing order.\nAnswer: u, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 585 is divided by 118.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fc when two letters picked without replacement from cwcffryfffrccr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44125015537913 - 44125015537913 - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 5 = 2. Suppose q + r*q + 14400 = 0. What is q rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -164 and -191.64?\nAnswer: 31428.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5\/(-20))\/(2\/8). Suppose -d - 3*z - 11 = 2, 5*d + 4*z = -32. What are the prime factors of (65 - (d + 8))\/(o\/(-2))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -0*q + 20. Let j be (-1 - -6)\/(-6 + 7). Suppose 6*d + j*d = -22. Sort q, d, -6 in decreasing order.\nAnswer: d, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5541 - -5539) + (-23 - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.028 * 0.5\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/(2\/(-78)))\/(-1). Let r(v) = v**3 + 12*v**2 + 4*v + 10. Suppose -5*w - 120 = 5*w. Let g be r(w). Is g equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68592.\nAnswer: 2, 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*y**3 - 508*y**2 - 368*y + 124.\nAnswer: -4*(y + 1)*(y + 31)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2442, 1\/44, 7\/4, 2\/3?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvpgvvgudvdggvu. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -507, -480, -437, -378?\n\"Answer: 8*x**2 + 3*x - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 86492302 to the nearest integer?\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 45615121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 5 = -53. Let p(n) = n**3 - 8*n**2 + 9*n - 17. Let r be p(7). Let m be 15\/(0 + 5)*(-2)\/r. Calculate the greatest common factor of u and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**2 + 14*t - 32. Let c be r(11). Calculate the greatest common divisor of c and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 6*z = 18, -5*i + 3 = -7*i - z. Solve 5*y + i*y = -8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -12.03+0.006\nAnswer: -12.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17187652?\nAnswer: 2, 4296913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) 5\/7 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2 - 51200*q.\nAnswer: q*(q - 51200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 13.222575 * 0.1\nAnswer: 1.3222575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000010086 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2321914 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1183348 or 1183352?\nAnswer: 1183352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - 16*u**2 + 37*u + 15. Let n be g(-18). Let q(a) = a**3 - 3*a**2 - 3*a + 1. Let m be q(4). Sort n, -9, m in ascending order.\nAnswer: -9, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 4163.\nAnswer: -3\/4163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 12:39 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -529*h + 11 = -525*h - d, d - 25 = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from hhhhhhehhhhhhhehhee.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*d - 6*d = 45 - 9 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 3:27 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*l - 47*l + 65. Which is the closest to 3\/10? (a) 7 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 83, 412, 2, 5 in increasing order.\nAnswer: 2, 5, 83, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5271 and 552867?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1079*h = -4*w + 1080*h - 16, 24*w - 27*w + 5*h = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 901*h**3 + 3*h + 0*h - 3*h - 968*h**3.\nAnswer: -67*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3 - (5 + -15) - 0. Let j(m) = -m**2 - 7*m + 10. Let l be j(-8). Suppose -40*r + 32*r + 16 = 0. Solve -l*z = r*y + 2, 2*z - 3*y - g = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 17, -16, -109, -292, -595, -1048?\n\"Answer: -5*q**3 + 2*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -64 - -64. Let m(s) be the third derivative of 1\/3*s**3 - 1\/105*s**7 + 0 + 0*s**6 + 0*s**5 - s**2 + x*s**4 + 0*s. Differentiate m(q) with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ndciddidndjooj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 - 17 - 1)\/(-1). Suppose -3*j - 2*j + q = 0. Factor 8\/5*o + 2\/5*o**j + 2\/5 + 12\/5*o**2 + 8\/5*o**3.\nAnswer: 2*(o + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s - 5. Let u(p) = 2*p**3 + 7*p**2 - 98*p - 422. Let f be u(-5). Let q(t) = t - 3. What is f*q(y) + 3*i(y)?\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -16 divided by -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be (8 + 4)\/(105\/(-50) + (-6)\/(-10)). What is the nearest to 2\/3 in g, -0.2, 13\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 485989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -46928 divided by 2\nAnswer: -23464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*n**4 + 29590939*n**3 - 24039*n**2 - 15987*n?\nAnswer: 144*n + 177545634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*x = 67*x - 105 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**5 + 396*r**4 - 45495*r**3 + 1415714*r**2 - 12423732*r + 32882616 = 0. What is r?\nAnswer: -494, 6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 144 and 77424?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 207\/7 in 3, 1\/8, -4\/5, -178?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -77980 + 78007. Calculate the remainder when r is divided by (16\/2)\/(6 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -15) + 55 + -80?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/16983 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 70 - 208\/3. Do h and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 70 and 313810.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -6, -25 in decreasing order.\nAnswer: 5, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 5, -5, 0.8, 2, 0.1451 in descending order.\nAnswer: 5, 2, 0.8, 0.1451, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 - (2 - (-2 + 4)). Solve -18*q + 4*q**p + 4*q**4 + 0*q - 12*q**2 - 8 - 2*q = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1943*w**2 + 7 - 7450*w**2 - 7.\nAnswer: -5507*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 times -0.6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be 64\/24*(-21)\/(-4) + 0. Let j(c) = 6*c - 81. Let t be j(o). Suppose 4*a - 11 = -3*m, -4*a = -m - 10 - 13. Solve 7 + a = t*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**12)\/((f*f**(-2\/7)\/f*f)\/f))\/(f**(-16\/7)\/(f*f**(1\/14))) assuming f is positive.\nAnswer: f**(233\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2. Let c(u) = -36867295*u. Give c(q(a)).\nAnswer: 36867295*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 77.66 + -75.8. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11, 5, -13, -49, -109?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 8083*p + 32332. Calculate j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 344 (base 7) in base 16?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the first derivative of -m**4\/14 + 32*m**3\/21 - 11*m**2 + 28*m + 55. What is d in k(d) = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - z - 1804 = 0, 892 = 2*x - 0*z + 2*z. Calculate the remainder when ((-3)\/5)\/((-10)\/x) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1099698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-438)\/(-365)*(-50)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9802640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 722439037 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1550 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19613 is divided by 6510?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of 43*b**5\/5 - b**4\/2 + 163*b**3 + 646. Find the third derivative of q(h) wrt h.\nAnswer: 1032*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 5*q**2 - 3*q - 10. Let x be s(6). Suppose -x*c + 12*c - 112 = 0. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 109999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 3:08 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 445 + -423. Let y be (-12)\/h - (-312)\/88. Let 2\/7*r**4 + 0*r + 0*r**y - 4\/7*r**2 + 2\/7 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-3 + ((-1*sqrt(637) - sqrt(637)) + sqrt(637))**2)*-6 - -2*(-1*sqrt(65)*3)\/((sqrt(50)\/sqrt(2))\/sqrt(5)).\nAnswer: -3802 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 - 41*y**2 + 16*y - 69. Let n = 520 - 479. Is m(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes before 11:30 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 69a (base 15) to base 8\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 80, 280, 606, 1064, 1660?\n\"Answer: m**3 + 57*m**2 + 22*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-1))\/((288\/112)\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 8 - 2 = 0. Suppose 2*p = 3*p - 2*v - 2, 2*p = -4*v - 12. What is the units digit of -15*((-9)\/g - p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s + 12. Let h be m(12). Suppose h*o - o = -31. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 591\/39 - 12\/78. Let r be (-4 + (-26)\/(-6))*f*1. Suppose r*n - 482 = -132. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -240.87, -0.3, 2, -0.1 in descending order.\nAnswer: 2, -0.1, -0.3, -240.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 252 and (-88190)\/(-60) - (14\/12)\/(-7).\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39826.\nAnswer: 2, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 + 36 + -22 + 15 + 62?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 10\/(4\/8*1). Suppose -4*z + a = z. Suppose 9*k = z*k + 4505. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 3*h - 45 = -3*c, 2*c - 18 = -2*h. Let v(t) = -3*t + 69. Let i be v(22). Suppose 4*m - 49 - i = 0. Solve c + m = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 8:15 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 5084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 4*m - 0 - 4, -8 = 4*m. Suppose 5*p - y*p = 22. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 87\/553 (b) -0.2 (c) -371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 5358.049 days?\nAnswer: 462935433600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 220*t - 176*t - 240*t to the form i*t + d and give i.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 103 (base 5) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 - 21 = -3*j. Let d = 160 + -270. Let m = -112 - d. Sort -3, m, j.\nAnswer: -3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m. Let v(q) = -44*q**2 - 2*q. Determine v(d(a)).\nAnswer: -44*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -123 + 126. Let w be (-10 + 4 + -6)\/(20\/(-2)). Suppose 21\/5*g**2 + 3*g**4 + w*g + 3\/5*g**5 + 27\/5*g**z + 0 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -91 - -98. Let a(q) = -q**2 + 8*q - 4. What is a(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in -1545*d**4\/8 - 5093217*d**3\/8 - 67135803*d**2\/4 + 14293089*d\/2 - 132435 = 0?\nAnswer: -3270, -27, 2\/103, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 + j**2 + j - 2. Let b(r) = r + 4. Let q be b(-4). Let x be m(q). Suppose v + 3*v = -20. Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 396 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-843)\/(-20) - (-1152)\/(-7680)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3840 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3876, -15522, -34918, -62052, -96912, -139486?\nAnswer: -189762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - 7. Suppose -3*t = o*g - 9 - 4, -4*t = -2*g + 12. Solve -5*i + g*j = -9, -21 = -5*i + 4*j - 3*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*a**4 + 56*a**3 + 56*a**2 - 32*a = 0 for a.\nAnswer: -4, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 57155, 114150, 171145, 228140?\nAnswer: 285135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*h + 23*h = 195*h + 189 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in 0.1, 2, -4, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 5325*u + 1488*u + 1898*u - 196*u as y*u + s and give y.\nAnswer: 8515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -25488, -101992, -229498, -408006, -637516, -918028, -1249542?\n\"Answer: -25501*t**2 - t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1047\/81 + -13 + 1 + (-3880)\/(-2808).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Add 21.00143431 and 0.00078.\nAnswer: 21.00221431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 37\/132 - 4\/11. Put z, 1\/2, 4 in descending order.\nAnswer: 4, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 163466742 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -12cc449?\nAnswer: 12cc447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -4685*b - 3740*b - 15433*b as h*b + f and give h.\nAnswer: -23858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 3280 - 6550 - 2460*m + 3270 in the form i + q*m and give q.\nAnswer: -2460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -1625.\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*o - 12*o + 10 = 0. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10226451\/4 or 2556613?\nAnswer: 10226451\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -183*o + 553 + 1277 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 80 + -81. Which is the nearest to -1? (a) f (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1606*y - 2662 + 2662)*(-3 + 2 + 0).\nAnswer: -1606*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 27159.07 centimeters?\nAnswer: 271590700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 2)*(-57 + 16*g**2 + 57) + 2*g**2 - 2 + 2.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -389, -785, -1181?\n\"Answer: -396*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 8109185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*d - d = 826 - 2850. Solve -43*u - d = 300 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 23 = h, 4*h + 3*f = -13 - 10. Let o(i) = i + 1. Let a(x) = 2*x - 1. Let k(m) = h*a(m) + o(m). Give k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 188932\/(-44) - 560\/(-616). Which is smaller: -4291 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of o**7\/168 + o**6\/72 - o**5\/6 - 5*o**4\/6 - 19*o**3\/3 - 19*o. Let m(a) be the second derivative of p(a). Factor m(r).\nAnswer: 5*(r - 2)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrsvlpslsrs. Give prob of picking 1 p and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*q + 7*q - 13*q)*(5*q + 0*q - 4*q)*((4*q + 0*q - 6*q)*(-q**2 + 4*q**2 - 4*q**2) - 3*q**3 + 3*q**3 - q**3).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 142393224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 166, 167, 168, 169, 170, 171?\n\"Answer: h + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -38*b - 330. Give t(-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 126557.708 to the nearest ten.\nAnswer: 126560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Total of 1938023.8563 and 17058.\nAnswer: 1955081.8563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -10*u + 3. Let g(v) = -7*v + 3. Let n(z) = 7*g(z) - 5*y(z). Give n(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-336)\/9261)\/(-8))\/(2\/18)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 79\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of i**5\/20 - 7*i**4\/12 + 2*i**3\/3 + 3*i**2\/2 + 6*i. List the prime factors of j(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1013 (base 4) to base 13\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -338 + 336. Which is smaller: m or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 12 + 0)*(-l**2 - 2*l**2 + l**2) + (2*l**2 - l**2 + l**2)*(-1 + 3 - 1).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = -9*g + 8*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -33 - -97. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 8 = -v. Suppose -v*q + 12*q = 44. Calculate the remainder when 43 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**3)**33*(m\/(m\/(m\/(m\/m**(1\/10)))))**(-5\/2))**9 assuming m is positive.\nAnswer: m**(3555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -59277264 divided by 19.\nAnswer: -3119856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 28\/341 and -52\/589.\nAnswer: 6479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*a = 84, 0*a + 3*a = -3*j - 63. Let n be 2*j\/(-6) + 0. What is the second derivative of 3*w**3 - 7*w**2 - n*w**2 + 14*w**2 - 5*w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 33000301 (base 5) to base 14\nAnswer: 7474a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 32494 by -5.\nAnswer: -32494\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 1411*n - 1415*n - 16 = 0, -n - 15 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/7488 and 53\/3744.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -29.2 - -29.2. Which is the nearest to 1\/9? (a) -2\/3 (b) v (c) 9 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1205253 divided by 44639?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19017958?\nAnswer: 2, 9508979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 3*a - 3 - 3 = 0, -10 = -m + a. Suppose -m*j = -j - 20. Let p(n) = 2*n + 2. Calculate the least common multiple of p(j) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164 is divided by 90.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29347 + -1232459\/42. What is the common denominator of v and 83\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 17\/2, 1, -47\/108 in ascending order.\nAnswer: -47\/108, 1, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 147030754 by -1789.\nAnswer: -82186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 1ac (base 13) to base 10.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 12.029 + -260335\nAnswer: -260322.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + i + 48, 4*i = 5*s - 7 + 67. Let j be ((-6)\/(-28))\/(s\/16). What is the second smallest value in -0.3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*n**3 - 43*n**2 + 43*n**2.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 44 + 6. What is the highest common divisor of p and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 749985.0035 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 4*m**3 - 33*m**2 - 2*m - 709. Let j(w) = -2*w**3 + 18*w**2 + w + 354. What is -6*a(d) - 11*j(d)?\nAnswer: -2*d**3 + d + 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 13*v - 9176 = 0. Suppose b + 14 = v. What is the units digit of b\/54 + (-4)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the third derivative of -c**7\/1575 + 29*c**6\/450 + 27*c**5\/50 + 77*c**4\/45 + 124*c**3\/45 - 531*c**2 + 5*c. Determine d, given that r(d) = 0.\nAnswer: -2, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 15 and -17138064.5744.\nAnswer: -17138049.5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22023 is divided by 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2*-2)\/(14\/6 - 3). Suppose -g*x - 6492 = -12*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -24677575?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gs when two letters picked without replacement from {a: 1, s: 5, g: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 179.96829 + -1655?\nAnswer: -1475.03171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 563.6*4\nAnswer: 2254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7*k**3 + 3459*k**2 - 801*k + 2464629 wrt k?\nAnswer: 21*k**2 + 6918*k - 801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 33 or -0.0501?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.142011954 to five decimal places.\nAnswer: -0.14201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of u**8\/6720 - u**6\/240 - u**5\/60 + u**4\/12 + 7*u. Let i(v) be the third derivative of c(v). Let i(m) = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -536*q**5 - 87165*q**3 - 1623200*q**2 + 23?\nAnswer: -32160*q**2 - 522990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(1100)*-2 - sqrt(1100)) + 1 + 5*(sqrt(1100) + -1))**2 - ((sqrt(1100) - (4 + sqrt(1100)*2 - sqrt(1100)))*-2*3)**2.\nAnswer: -480*sqrt(11) + 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 62602019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d**3 - 84*d**2 + 540*d - 972 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 101 and 2977682?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -21627 = -929*u + 128*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of -h**6\/40 + h**5\/10 + 11*h**4\/8 - 6*h**3 + h**2 - 1. Find j, given that g(j) = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-34032)\/(-19852))\/((-2)\/(-21))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3988 + 11986\/3. What is the smallest value in -5, 3, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3\/(-9))\/((-1)\/(-3)). Let q be (1 + f)\/(9\/(-3)). Which is greater: -1\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of x**3\/3 - 9*x**2\/2 + 11*x + 3. Let v be a(8). Suppose 6*f - v*f - 39 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-3 + sqrt(2448) + 1 + sqrt(2448) + -3 + (sqrt(425) + 0)**2)*6.\nAnswer: 720*sqrt(17) + 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 0*p - 155 = 0. Suppose 0 = -p*g + 33*g - 10. Solve 0 = -y + 3, 5*y - 14 - 11 = g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*k**4 + 2*k**2 - 2*k**2 + (4*k**4 - 3*k**4 + 0*k**4)*(-13 - 2 - 12) + (-2*k**4 + 3*k**4 + k**4)*(4 + 0 - 2).\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2622536152 to the nearest integer?\nAnswer: 51211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tttbzzbb. What is prob of picking 1 z and 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1301 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 l be (-3)\/4 - (-477)\/(-36). Let j be (3 + l\/4)*-8. Suppose -4*q = 3*r - 5207, -j*r = -0*q - 5*q - 6922. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -63*u**4 - 6*u**2*v**2 - 456*v**2 with respect to u.\nAnswer: -252*u**3 - 12*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of 1\/660*x**6 + 0*x**3 + 0*x**4 + 3\/2*x**2 + 13*x + 0 - 1\/330*x**5. Let c(k) be the first derivative of l(k). Solve c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 8 + 9 = 0. Let m(c) = -2*c**3 + 19*c**2 + 8*c + 23. Let p be m(10). Let w(v) = v + 9 - 11*v**p - 25 + v**2 + 17. What is w(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70866 and 169164?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1424513 is divided by 545.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5760 and 325357440?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 50 - -55. Suppose d = 8*i - 3*i. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - 14 = -z + 2*p, 47 = 4*z - 5*p. Let a = 5 + z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - -8) + (-1 - -1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -6*u**2 - 1259*u - 3. Let a(t) = -19*t**2 - 3750*t - 10. What is -2*a(s) + 7*d(s)?\nAnswer: -4*s**2 - 1313*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 583087351 to the power of 1\/2, to the nearest integer?\nAnswer: 24147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence an when two letters picked without replacement from {a: 5, n: 15}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.0836 - 7.0836. Which is the second smallest value? (a) -5 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(1\/3)\/(m\/(((m**(-1\/2)*m*m)\/m*m)\/m)))**(2\/77))**46 assuming m is positive.\nAnswer: m**(-46\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -6. Let o = k - 1. Solve o*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 68*d - 1031. What is the remainder when u(19) is divided by 81?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - 47)*5*(-12)\/(-50). Let g = k + 302\/5. Which is the nearest to g? (a) 2 (b) -25 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1039270 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, d: 3, a: 5, m: 5, l: 2}. Give prob of sequence oad.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 - 3*l**2 + 45*l + 143. Calculate c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2977292 divided by 13.\nAnswer: -2977292\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -4*z + 2240, -z - 1656 = -4*z - 5*c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/(t\/t**(-3)))\/(t\/(t*t**(-11)*t)))**(-28))**45 assuming t is positive.\nAnswer: t**16380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(2*sqrt(7260))\/sqrt(6))\/(sqrt(40)\/(sqrt(288) - sqrt(8)) + sqrt(5) + (sqrt(20)*3 - sqrt(5))).\nAnswer: 660*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 187471, 374943, 562415?\n\"Answer: 187472*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {u: 6, s: 5, q: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**2 - 3*p + 7. Determine o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2465 + 26?\nAnswer: -243a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -3*v + 436. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*3.5.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11 - 0. Let c = v + 14. Solve r + 10 = c*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*w**2 + 0*w**2 - 14*w**2.\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 - 6*k - 1. What is r(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1*4\/2)\/3. What is the biggest value in -1, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1111 - -1111.2. Let r = 8.9 + -7. Which is the third smallest value? (a) -4\/5 (b) j (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (70\/30)\/(32\/(-18)). Suppose 3*y - y = 4*b, 2*b = 2*y. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -6, 5, -17, 4 in increasing order.\nAnswer: -17, -6, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3777623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 3. Let j be (y + 3)\/(3\/12). Find the second derivative of j*f + 2*f + f**2 - 5*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**4 - 54*z**3 - 220*z**2.\nAnswer: -2*z**2*(z + 5)*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -8.97353 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p - 20 + 13 = 0. Let k(n) = 6*n**2 + 2*n + 1. What is k(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 PM and 7:34 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 AM and 7:18 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, a: 4, b: 1, y: 9, k: 2}. What is prob of sequence kyyy?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -208, -246, -296, -364, -456?\n\"Answer: -h**3 - 31*h - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 306190861 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 8 - 5 = 0. Let h = z + 8. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5a4 - -8?\nAnswer: 5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -26 - 217?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 526530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.14 - -9.86. Let n = m + -7. Let w(v) = v**3 + 7*v**2 + 59*v + 249. Let k be w(-5). Which is the closest to k? (a) -1\/2 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -47 - 3 - (296 + -375).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the second derivative of -w**7\/14 - 22*w**6\/15 - 13*w**4\/4 + w + 57. Find the third derivative of l(a) wrt a.\nAnswer: -180*a**2 - 1056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15649 (base 16) in base 2?\nAnswer: -10101011001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -165, 1, -4, 179 in increasing order.\nAnswer: -165, -4, -1, 1, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 93, -215, -729, -1449?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve y + 11*n = -4*n + 18*n + 14, 46 = 3*y - 11*n for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1915, -1927, -1939, -1951?\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (((sqrt(500) - 1*sqrt(500)) + sqrt(500))**2 + 2 - sqrt(500)) + 3 - (sqrt(500) + sqrt(500)*1 + -2 + sqrt(500) + -4)**2*-4)*-3.\nAnswer: -55944 + 4350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -133*u + 13. Let k be j(1). Let p = k + 148. Let m be 2 - (-3)\/(-2)*8\/(-12). Solve -5*s - m = -p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*w - 86*w = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 843870442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m - 10. Calculate y(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 352352526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31701?\nAnswer: 3, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nrnrnnnnnrnrnnnnnr. Give prob of sequence nrnn.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 47*(-6)\/(-18)*150\/(-50)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 97297 and 11175.\nAnswer: 7297275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, 0.008, 3\/2 in ascending order.\nAnswer: -2\/9, 0.008, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 74343647 by 74343647.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.04 - 4.76. Let l = i - -5. What is the second biggest value in l, -2\/9, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9514551 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 + (-90 - -45) - (2 + -115).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 - 7*l**2 - 31*l + 108. Give f(7).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -935c6 (base 14) to base 15.\nAnswer: -70355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**2. Let p be i(0). Suppose -3 = m - p*m. Let n be (-11)\/((m\/(-9))\/(-1)). Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9018*k**4*x - 4*k**2*x**3*y + 8*x**3*y - 2*x**2*y - 17*x + 11*y wrt k.\nAnswer: 36072*k**3*x - 8*k*x**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -42 or -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -8, -27, -46, -65?\n\"Answer: -19*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 7*v**2. Let n(a) be the first derivative of 26 + 0*a**2 - 7\/3*a**3 + 0*a. Calculate d(n(x)).\nAnswer: 343*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 137 is divided by (6\/(-10))\/(6\/30) + 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 727033733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tnn when three letters picked without replacement from lllnltnlnnnllltnl?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -21846\/133 greater than or equal to -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 4116 divide 120866340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of l**2*z**4 - 3*l**2*z**2 + 4219*l**2 - 37*l*z**3 - 19*l*z**2 + 115*l*z + 833642*z**3 - 2*z**2 wrt z.\nAnswer: 24*l**2*z - 222*l + 5001852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 1. Suppose -g*a = -3*a + 215. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2153 - 2153.59. Which is the closest to 1\/3? (a) 5 (b) v (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {h: 2, l: 2, v: 1, j: 1, x: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-254 + 254 + 65*j)*(2*j - 1 - 62*j**2 + 68*j**2 - 4*j) as h*j**3 + c*j**2 + d + v*j and give v.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 46 and 1624582?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 4848*z**2 + 7*z + 3074. Let d(v) = -v**2 - v + 1. Let y(w) = -5*d(w) - n(w). What is the second derivative of y(j) wrt j?\nAnswer: -9686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11823 - 11276. What is the remainder when y is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60.0187 rounded to one decimal place?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the first derivative of -2*v**4 + 6*v**2 - 5. Find the second derivative of l(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 0.3, -0.1065, -2, 2\/7 in descending order.\nAnswer: 0.3, 2\/7, -0.1065, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -164.8 rounded to the nearest integer?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**5 - 15*n**5 - 6*n**5)*(-2 - 1 + 5).\nAnswer: -34*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 3*b - 12 - 18 - 21 + 56 - 16. What is g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -2*k**3 - k**2 + 2*k + 1. List the prime factors of h(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of y + 1\/6*y**4 + 13\/20*y**5 + 26 + 0*y**3 + 85\/2*y**2. What is the first derivative of k(d) wrt d?\nAnswer: 39*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -17391 (base 13) to base 14.\nAnswer: -12353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 21. Let g = 10 + q. Solve 3*d - 9 = -3*l, -g*l + 7 + 2 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*g + 3*g - 4*g)*(-6 + 3 + 1 + (4 - 4 + 17)*(-57 - 130 - 124))*(4 - 1 - 4) to o + z*g and give z.\nAnswer: 21156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64 and 200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-3))\/((-15)\/(-18)). Let u = 1.3 - -2.7. Which is the nearest to -1? (a) 0.2 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -62.22 - 0.78. Let k = -5662 + 5659. Which is the closest to -0.1? (a) -2 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -100 and 0.8.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.398 + 2.398. Which is the nearest to -1? (a) x (b) 6 (c) -0.4 (d) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a = 154 - 163. What is the nearest to a in -0.5, 0.5, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2995420277 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, i: 1, x: 1, h: 1, f: 1, p: 1}. Give prob of picking 1 i and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 220, 893, 2026, 3625, 5696?\n\"Answer: s**3 + 224*s**2 - 6*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 5 + 5. Let m be 4\/5*h\/(-4). Let w be ((-9)\/6)\/(1\/(-2)). Solve w*b - q = q - 10, -2*q - m = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 100 (base 2) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -5548*o**5\/3 - 737872*o**4\/3 + 5438636*o**3\/3 - 3920*o**2 = 0.\nAnswer: -140, 0, 3\/1387, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3270 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be (36\/8)\/(-3)*1\/9. Sort -2\/5, h, 33.\nAnswer: -2\/5, h, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 8:27 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/2))**14\/(z*z**0)**(-15) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.018 - 0.438. Let o = f - -0.52. Which is bigger: 3\/7 or o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 122234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -122 - -122?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1198603105?\nAnswer: 5, 7, 17, 2014459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2213551783 rounded to the nearest one hundred thousand?\nAnswer: -2213600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5593?\nAnswer: 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 + 18*d + 3. Suppose 26 = 184*w + 762. Calculate t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 11.256 and 0.108.\nAnswer: 1.215648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4594 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000005929 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 322*l - 58*l + 126*l - 3900 = 0. Suppose -32 = -v - 3*v. Suppose -4 = a - v. Solve l*d - 5*d - 2*i + 23 = 0, 4*d - a = -4*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 507 a factor of 139070100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 108 + -85. Calculate the remainder when 60\/3 + 2 - -2 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 9 = -6*b + 2*b, 0 = 2*f - 3*b - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -41*u**2 - 291*u + 1405. Calculate m(5).\nAnswer: -1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-5)\/((-20)\/(-6))*8\/(-3). Suppose -b + 915 = c*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d + 1. Suppose 4*c - 999 = 7*c + 4*z, 4*c = -z - 1332. Let j = 331 + c. Let n(r) = -2*r + 1. Give j*p(i) - n(i).\nAnswer: 4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 729*w - 728*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3106\/(-88521) + 506\/4674.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7*(-21)\/(-784)*(-12)\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 735644108 to the power of 1\/2, to the nearest integer?\nAnswer: 27123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q - 182 + 162 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -1*(1612\/(-9) + 22\/198) is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 25*l**2 + 481*l + 1286. Calculate s(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 + 9*w - 1. Let y be d(-9). Let x = 3 + y. Suppose s = -x*s. Are -4\/9 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -95551.000039633 + 95551. What is g rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - m + 39 = 2*m, 3*o - m - 27 = 0. Solve -3*v + 25 = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 15 = -5*k. Suppose 0 = 5*u - 25, -k*n + 175 = 2*n - 2*u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86 = 3*s - 4*v, -3*s = -3*v + 50 - 134. Let y = 28 - s. Solve 0 = y*p - 2*i, 4*i - 5 - 10 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 443218.923 minutes?\nAnswer: 43.97013125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -668*d**2 + 671*d**2 + 1 - 1.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3321 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -46*m**2 - 3445*m + 384. Calculate s(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 38*z - 22. Let x = -92 + 96. Let n(h) = -40*h + 22. Let r(d) = x*n(d) + 3*q(d). What is the derivative of r(s) wrt s?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 170903934?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -c*o**2*p**3 + 126*c*p**2 + 2*o**2*p**2 - 10*o**2 + o*p**2 + 8*o*p - 31451*p**3 - 4 wrt p?\nAnswer: -6*c*o**2 - 188706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes after 5:10 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 329*n**2*o**3 - 249*n**2*o*v + 2*n**2 - 167167*n*v wrt o?\nAnswer: 987*n**2*o**2 - 249*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -435*i**3 - 680945*i**2 - 99488723.\nAnswer: -1305*i**2 - 1361890*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/156 and 39\/452.\nAnswer: 17628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25 + 1411*d - 1409*d - 2.\nAnswer: 2*d - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (3 - 12)) + -4 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 10:18 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + p + 12. Suppose 3*s - d = 19, -p = -4*s - d - d. Solve 14 = -4*z - 2*k + 6, -10 = s*z + k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/6, -5, 24, 54\/7 in descending order.\nAnswer: 24, 54\/7, 5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -24\/1363745? (a) 0.04 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 960\/(-72)*(-48)\/(-40) + 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -110010000000110101 (base 2) in base 4?\nAnswer: -302000311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1783540 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 29677 and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h. Let k(c) = -c. Let w(d) = k(d) - 2*y(d). Let j(b) = -3*b + 5*b - b. What is j(w(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*(-2)\/(-12)*(-6 - (5976\/(-1176) + -1)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 + 7. Let z = 83 + -88. Let w(b) = 17*b + 89. Let d be w(z). Let r(v) = -v**2 - 7. Determine d*r(g) + 3*k(g).\nAnswer: -g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5418\/1806*(-1)\/35)\/((-4)\/30).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 29 divided by 1687\nAnswer: 29\/1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 826, 1611, 2396?\nAnswer: 3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 620766 and 5035102.\nAnswer: 45315918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 576, -104, -60, -5.\nAnswer: -104, -60, -5, 3, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19860, 39735, 59612, 79491?\nAnswer: 99372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of g**6\/180 - 5*g**4\/3 + 36*g. Let w(y) be the third derivative of c(y). Let x(b) = -8*b. Calculate w(x(i)).\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 17*y = 19*y + 145248, -36305 = -c + 4*y. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -168300 divided by -17?\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 5*j - 59 = 0, -30 = -2*m - j + 33. Does 32 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 3*z**2 + 227*z + 163. Give m(-78).\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -51 (b) 0.3 (c) 0.04 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*t + 2. Suppose -3*a + 2*a + 4 = 3*p, -5*a = t*p + 16. What is the first derivative of p*g**4 - 1 - 3*g**4 + g**4 wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.7164 rounded to 2 dps?\nAnswer: 7.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*k - 12 + 33 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -37 - 77?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 48 - 45.92. Let r = t - 0.08. What is the nearest to -0.1 in 4, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-7098)\/(-84))\/169)\/((-2)\/(-49))?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -q - 13, q - 4*b - 14 = -0. Suppose -4*r + 9 = 4*u + 1, -q*u = 3*r - 11. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36 and 408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aonoo. What is prob of picking 1 n and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4417*m**2*t**6 - 2*m**2*t**2 - 73*m*t**6 - 328389*m*t wrt t.\nAnswer: 530040*m**2*t**3 - 8760*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p**14)**9*(p**(5\/13)\/p)\/p*p*p*p*(p\/p**(1\/37))\/p assuming p is positive.\nAnswer: p**(69917\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/923 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132)\/(1*sqrt(12))*-2 + (sqrt(121) + -1*1*sqrt(121) + sqrt(121) + sqrt(121))\/sqrt(11) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c = 10*c - 24. Suppose 0 = -k - k + c. Let i = 6 + k. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 713*m + 1523*m - 547*m to the form q*m + z and give q.\nAnswer: 1689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56\/2072*37*(14748 + 0).\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -660 + 365 - 1175 + 2*k - 2*k**2 + k.\nAnswer: -2*k**2 + 3*k - 1470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 16533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 34949 - -240540. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 3 = -1. Let l(v) = 5*v**3 + v**2. Let z be l(q). Let m = z - 49\/8. Which is the third smallest value? (a) m (b) -0.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/(-3))\/((-2)\/(-102)). Let u(m) = m**3 + 18*m**2 + 12*m - 24. What is the units digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -41 + 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of j**8\/14 + 5*j**4\/3 - j. What is the third derivative of g(x) wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 245194272 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*c - 3*o, 27 = 3*c - 0*o + 3*o. Calculate the remainder when 81 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-14)\/192)\/(1542\/441). Let f = -359159561\/246720 - i. Let m = -7234\/5 - f. Find the common denominator of -53\/12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(3\/2)*258\/(-1204)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -2*p**3 - 12*p**2 + 17*p + 65. List the prime factors of w(-13).\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2394 divided by 3.\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + 5. Let u = 7.2 - c. Let b = -5.2 + u. Which is greater: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/2029184 and 91\/190236.\nAnswer: 6087552","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from uluullsl.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -18*j + 29. Let i be b(-6). Let d = 140 - i. Let y = 15 + -11. Solve 0 = -y*v - 13 - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 + -19. Let b(f) = -3*f - 27. Let u be b(-9). Let o(x) = 2*x + u + 5 + 2. Calculate o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -49.9 + 55. Let y = r + -5. Let j = -13.4 - -13. Sort y, j, 0 in ascending order.\nAnswer: j, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*a - 6*a + 13*t + 56759948 = 0, 3*a - 4*t = -56760016. What is a rounded to the nearest one hundred thousand?\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of 0*y**2 + 1\/12*y**4 + 0*y**3 + 1\/360*y**6 + 1\/120*y**5 - 2*y + 0. Let t(w) be the third derivative of v(w). Calculate t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 159901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*z**2 - 12*z + 15*z - 3*z - 35*z**3.\nAnswer: -35*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 16 (b) -4 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1312, 1, 7, 9, -14 in decreasing order.\nAnswer: 1312, 9, 7, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/2)\/((-14)\/28). Let k be w\/(-6) + (-80)\/125. What is the closest to -1\/4 in -1, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.23394 - 2.181. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**2 + 8*q - 2. Let h be x(-10). Suppose i + h = 4*i. Find the second derivative of -9*u - 11*u**3 - u + i*u**4 + 11*u**3 wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 3*p - 2362, -i = 4*p - 2*p - 2359. List the prime factors of i.\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 4, h: 3, z: 2, e: 10}. What is prob of picking 2 e?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 PM and 8:23 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -529872*h**2 + 913*h + 913. Let u(a) = -1162*a**2 + 2*a + 2. Give -2*b(p) + 913*u(p).\nAnswer: -1162*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from ihhhhzizshzhhshhih?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3.8? (a) 2\/11 (b) -3 (c) 1.1 (d) -74 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4939 and 62864939?\nAnswer: 691514329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(832) + (sqrt(832) - (sqrt(832) - (5 + (1*sqrt(832))**2)) - sqrt(832)) + -4 + 1 + (2*(1 + -1 + sqrt(832) + 2))**2.\nAnswer: 128*sqrt(13) + 4178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -127 divided by -127?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, h: 1, y: 5}. Give prob of picking 1 h, 1 d, and 2 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3770 + 3771. What is the smallest value in 0.3, -1, v, 1\/24, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20855550 and 57825.\nAnswer: 62566650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*j**3 + 1705*j**2 + 118970*j + 117245 = 0. What is j?\nAnswer: -179\/4, -1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 4*o. Let l(h) = -h. Suppose -2*k + 27 = -11*k. Calculate k*r(j) - 10*l(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + o + 2)*(-21*o**3 - 4*o**3 - 12*o**3).\nAnswer: -37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**3 - 77*w**2 - 281*w - 143. Determine q(42).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 18608 times -3871?\nAnswer: -72031568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1331) + sqrt(1331) + 2*sqrt(1331))**2 - (sqrt(352) - sqrt(22))\/sqrt(2).\nAnswer: -3*sqrt(11) + 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/13, -5, 2\/167, 0.2, -1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 11:40 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = -3*z - 3*q - 72, 240 = 5*z - 25*q + 34*q - 8*q - 11*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 11, f: 2, y: 2, b: 5}. Give prob of sequence fb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - 10. Differentiate -14*w + 2*w - 7 + 22 + t*w wrt w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j - 3*j - 3*j)*(-2 + 3 - 2)*(105 + 162 + 211).\nAnswer: 956*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 585 and 36457551.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3769 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -124541020 (base 6) in base 10?\nAnswer: -2470404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1003, 18, 3, 0, 2, -13 in descending order.\nAnswer: 1003, 18, 3, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 371 - 322 - (90 - 1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 293404 + 2?\nAnswer: 293406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 315957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 9*y + 39. Let w be s(-5). Let x(m) = -250*m**2 + 12*m - 3. Let b be x(w). Let p = b + 145255\/16. Find the common denominator of 5\/8 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u - 6*u + 4*u)*(97 - 97 + 7*u**2)*(2 + 5 + 1).\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1037\/(-187) + 6\/11 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 16003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 63 = 37. Let a be (o\/(-6))\/(5\/(-15)). Suppose -v - a = -6*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*i**5*l**2 - 233*i**3*l**2 - 2*i*l**2 - 9*i*l - 46 wrt i.\nAnswer: 220*i**3*l**2 - 1398*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -78*m**2*z + 122*m**2 with respect to z.\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2205)*1)\/(sqrt(144)\/sqrt(4)).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((g + 0*g - 2*g)*(-1 - 4 + 2) + 5*g - g - g)*(931 - 71 + 47 + 444).\nAnswer: 8106*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 153.9466ug to kilograms.\nAnswer: 0.0000001539466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 282229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1142 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2552555837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*p + 3*p**2 - 3*p + (1 - 2*p - 1)*(-2 + p + 2) + 2 - 2 - p**2 + 0*p**2 - 5*p**2 + 2*p**2 + 2*p**2 + p**2 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 559209801 + -559209794.00000013. Let i = 7 - s. Round i to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 6) + -10 + (6 - (5 + -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1238198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -129\/1820 and -23\/343084.\nAnswer: 22300460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 1 + 35 + -19 + -26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -41, -172, -391, -698, -1093, -1576, -2147?\nAnswer: -2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6027 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*z - 130 + 251 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*h + 337 = -39*h - s, 0 = h - 3*s + 77. Let k(a) = -a**2 + a. Let o(t) = 51*t**2 - 68*t. What is h*k(d) - o(d)?\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-210)\/(-875))\/((-81)\/(-45))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 30, 13.\nAnswer: -3, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 + -69. Suppose -16*l + 15*l = 5*r + 69, -4*l = -4*r - 60. Let v = r - z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1010 (base 2) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 33*n**3 - 32*n**3 + 4*n**4 + 13 - 3*n**4 - 2*n**2 to the form z*n**3 + b*n**2 + m*n**4 + q + s*n and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 5*q - b - 196, 2*q - b = 96. Let y(n) = 9*n + 5*n + q - 7*n. Let u be y(-6). Solve -4*v - u = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(80)\/sqrt(4))\/(sqrt(10)*-2*-3).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -18 and 51.2?\nAnswer: -921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 + 6*u**2 + 7*u + 6. Determine d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 5 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 116023405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14.9191 + 17.21896. Let i = h - 2.3. What is i rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (1*sqrt(190)*-3)\/((sqrt(90) + sqrt(90)*-2)\/sqrt(9)).\nAnswer: 4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -r + 2338, 25 = -0*r + 5*r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 1188 + 1374 = 0. Solve -28*g + 6 = -i*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93 is divided by 67?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 384648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 PM and 11:27 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u, 3*u - 3 = -5*z + 37. Calculate the remainder when 15 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 67*w**3 - 42802*w**2 + 3579497 wrt w?\nAnswer: 201*w**2 - 85604*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-33)\/(165\/40) + (-38)\/(-6) + 264\/(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 4*h - 4*t = 64, h + 7 = -2*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -6*z + 1. Let i be n(-1). Let r = i + -4. Differentiate -t**2 + r*t**4 + t**2 + 0*t**4 - 5 with respect to t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*p = -0*p - 186. Let n(b) = -b**2 + 8*b - 10. Calculate n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*q - 60 = 0. Let d = -40 - q. Does 4 divide (90\/d)\/(3\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.45, 3, -1.5 in decreasing order.\nAnswer: 3, -0.45, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p - 17. Let a(q) = -4*q + 126 + 121 - 402 + q + 189. What is 3*a(r) + 7*h(r)?\nAnswer: -2*r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t - 5. Let b be z(-3). List the prime factors of (b + -1 - 2)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68621393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2.40999 less than 1.5?\nAnswer: -0.90999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001849 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -380? (a) 167 (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(28\/8)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 5*w + 41 - 5, 0 = -4*t + 3*w - 28. What is the smallest common multiple of (8\/10)\/(t\/(-90)) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(12\/(-2))*(-75)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3997 + 8583. Let n = t - 59586. What is n rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 3*k**2 + 28*k - 5649. Let d(g) = g**2 + 6*g + 1. Calculate -5*d(o) + q(o).\nAnswer: -2*o**2 - 2*o - 5654","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*o + 14*i + 78, -3*o - 4*i + 2*i = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 788109 is divided by 4582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 4*w + 2256*w**2 - 4*w - 2255*w**2. Let k(t) = -236*t**2. Determine a(k(x)).\nAnswer: 55696*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 + 8*q - 14. What is h(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:33 PM and 3:12 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 391874 is divided by 130618?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 56, 75, 112, 173, 264, 391, 560?\n\"Answer: v**3 + 3*v**2 + 3*v + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from liixxilxgylxsx. Give prob of sequence ly.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p**3)**(-2\/41))**(-1\/6))**(2\/47))**(-1\/2) assuming p is positive.\nAnswer: p**(-1\/1927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3496 is divided by 163.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 - -15)*(-3 - -2). Let m = 17 + s. Solve 3*w = m*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4\/3, 4\/3, 4.7 in increasing order.\nAnswer: -5, -4\/3, 4\/3, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * 3847.\nAnswer: -7694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 4 = 3*q. Sort 5, q, 0.3 in descending order.\nAnswer: 5, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*g - 920*g**2 + 2756*g**2 - 919*g**2 - 925*g**2.\nAnswer: -8*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 82157*x**2 - 41086*x**2 - 41012*x**2. Let i(d) = -6*d. Give i(m(q)).\nAnswer: -354*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 45, -5*k + 859 - 808 = 3*y. Let p(g) be the first derivative of 13 + 0*g**y + 37\/3*g**3 + g. Find the first derivative of p(i) wrt i.\nAnswer: 74*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 1 = -5*r. Suppose 14 = -j + r*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 152*g - 57*g - 570 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y**2 + 2 - 5 - 2 + 1.\nAnswer: 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + -3 - 28\/22. Suppose 4*k = 5*i + 12, i + 13*k = 15*k. Which is greater: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from yysdymmytytrm.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -4*u**3\/7 + 78*u**2\/7 - 174*u\/7 + 68\/7 = 0.\nAnswer: 1\/2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from imymdyedl. Give prob of sequence mlyi.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 46199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and -56248029.\nAnswer: 112496058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1632, -6513, -14634, -25995, -40596, -58437?\nAnswer: -79518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yaa when three letters picked without replacement from {a: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-49))\/((-10620)\/(-1040760))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the second derivative of a**6\/360 - a**3\/6 + 3*a. Let k(b) be the second derivative of j(b). Let l(m) = -3*m. Give l(k(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m**4 - 4*m**2 + 4*m**4 + 3*m**3 + 2 + m**4 + 6*m**2 to b*m**4 + o*m + x*m**3 + w + r*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of -194*l**4\/3 - 7*l**3\/2 + 5*l**2\/2 + 5*l + 1. Let d be r(5). What is d rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (23 + 3427\/(-161))\/((-170)\/(-238))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1c + -80?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -12*s - 16. Let y be r(-3). Suppose 5*k = -3*c + 8, -3*k - 8 = 5*c - 0*c. Suppose y = -0*h + k*h. What is the highest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 46798 - 188275\/4. Let g = r + 271. Which is the closest to g? (a) 2\/5 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**2*x**(1\/24))\/((x*x*x**(-2\/65))\/(x*((x*x\/x**(-10\/7))\/x)\/x)) assuming x is positive.\nAnswer: x**(27311\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*g = -g + 1845. Let z = g - 124. What is the biggest value in -5, z, -0.05, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-300)\/(-80) + (1*-4)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 202, 3 in ascending order.\nAnswer: -4, 3, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 514, 2787, 8536, 19501, 37422, 64039, 101092?\nAnswer: 150321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/(-14) + 62\/14. Suppose -r + 10 = 2*l. Suppose 9*i - 72 = l*i. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -327563 take away -0.64?\nAnswer: -327562.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from totioooototoily?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the first derivative of -f**3\/3 - f**2 - f + 1. Let q(z) be the first derivative of l(z). List the prime factors of q(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 940*m**3 - 11*m**2 - 1?\nAnswer: 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4000*r + 3906*r + 3534400 = 0. Is 157 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -7*r + w, -5*w - 1190 = -10*r - 1225 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**3\/3 - 7369*a**2\/3 - 13586587*a\/3 - 13564489.\nAnswer: -(a + 3)*(a + 3683)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 2*l + 46 - 50 = 0, -3*r - 4*l = 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 3 + 15. Let x = -13 - -18. Suppose -3*k = -2*y + k, -14 = -x*y - t*k. Solve -3*r + y*z - 3*z = 11, -5*r - 2*z = 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 683.6697ns in weeks?\nAnswer: 0.00000000000113040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of -3\/10*n**5 + 7\/3*n**3 - 1\/2*n**4 + 0 - 12*n + 1\/15*n**6 + 6*n**2. Factor f(m).\nAnswer: 2*(m - 3)*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -17*c + 10. Let p(t) = 8*t - 5. Let w(q) = -4*j(q) - 9*p(q). What is the units digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(1\/2))\/(g*(g*(g**(-5)*g)\/g*g*g)\/g))\/((((g\/((g\/g**7)\/g))\/g)\/g)\/g*((g*g**(-2\/15))\/g)\/g) assuming g is positive.\nAnswer: g**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-112)\/(613088\/519911) + 95.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684)*-4 + sqrt(684))*2 - (sqrt(57)\/sqrt(3)*2 + -2).\nAnswer: -38*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58244447 is divided by 1233?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 114\/12*(-201)\/15276\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 7, 1.1, 5, -858, -60?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9275.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 790699.4 centuries in years?\nAnswer: 79069940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*i + 9*i + 3*z = 31*i + 51, 3*z - 4*z = 2*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101000001110001 + -111101?\nAnswer: -101000010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(125) - sqrt(125))**2 + 5 + -3 - 5*(sqrt(125) + 1)*-1) + 4.\nAnswer: 12 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -2*z**2. Let u be (23\/(-69))\/((-2)\/582). Let f(x) = 38*x + 44*x - u*x. Determine p(f(m)).\nAnswer: -450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 - 22*f + 109. Calculate s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b - 1. Let k(t) = -4*t - 7. What is k(a) + o(a)?\nAnswer: -3*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -12 + 4. Suppose 4*q = h + 87, 0 = -3*q - 2*h + 28 + 51. Let w = q - 19. Solve 10 - w = -p*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -2\/21, -1\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 4, -5, 88 in descending order.\nAnswer: 88, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -14d5 - -2?\nAnswer: -14d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 97 - 58. Let s(k) = k**3 + 5*k**2 + k + 2. Calculate the remainder when y is divided by s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(2600)*6*-4)\/((sqrt(162) - sqrt(162)*4) + sqrt(162) + 6*(sqrt(2) - sqrt(8)\/sqrt(4))).\nAnswer: -80*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 40275 >= 28349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 3*w - 2. Let n(q) = -13*q + 9. Let p(z) = 4*n(z) + 18*r(z). Suppose 3*s = 29 - 5. Let c(h) = -8*h - 8*h + s*h. What is c(p(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(3\/4))**(-38\/5)\/(q**(4\/9)\/((q**(-6)\/q)\/q)))**(8\/5) assuming q is positive.\nAnswer: q**(-5092\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 41800 by 10450.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, f: 2, d: 2, t: 4, c: 2}. What is prob of sequence tf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 37 = -114*l + 109*l, 10*l = c + 46 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 - 9 - (3 + 3 + -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2273801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 95760 and 93450816.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11039, -22081, -33123, -44165, -55207?\nAnswer: -66249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5249809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1996 and 4990?\nAnswer: 9980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/448200 and -199\/986040.\nAnswer: 4930200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 487.886461 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**0\/r)\/r*r\/(r**(10\/7)*r))\/((r**(-4\/3)*r)\/((r**(-7)\/r)\/r)))**(-50) assuming r is positive.\nAnswer: r**(12700\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let n = -834 - 6266. Round n to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21584?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q + 26 = 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.52 - 0.02. Let f = 21078\/17 - 1240. Which is the biggest value? (a) f (b) s (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-4 - -1) - (-131 - -128)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - ((1 - 1) + -2) - (565 + -556).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 4*r - 2. Let k(t) = 1. Let s(m) = k(m) + w(m). Let n be s(1). Suppose 4 + 11 = -n*d, -52 = -3*a - 4*d. Solve 0 = -5*o - a - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4706345 - -10093655. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1))**(2\/25)*((z**(1\/3)\/z)\/z)**(-6\/5) assuming z is positive.\nAnswer: z**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*a**3 + 2*a**3 + 5*a**3 - 13*a**3 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43 - -25. Let z = r - -124. What is the units digit of (-2 + z\/(-10))\/(3\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 81 and -1161?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 7*v - 109 = -3*a, 0 = -a + 4*v + 8. Let f = a + -28. Suppose 844 = 4*q - f*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28 - -25. Put 0, 3, t in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/(o**9\/o))**(-2\/17) assuming o is positive.\nAnswer: o**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x**3 - 4*x**2 - 6*x + 9. Let h be 8\/(-3)*(-105)\/70. What is the tens digit of r(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, t: 2, w: 1}. Give prob of sequence ttw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -303 plus 0.06?\nAnswer: -302.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 + 0*h**3 + 5 + 0 + 6*h**2 - 2*h**3 + 5*h. Let w be i(-4). Suppose s - w = a, -4*a = 2*s - 63 - 251. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4330*q**2 - 3462*q**2 + 1175*q**2 + (0*q - 5*q + 4*q)*(q - q + q) + 2*q**2 - q**2 - 2*q**2 in the form t*q + h*q**2 + k and give h.\nAnswer: 2041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(176) + -4 + (sqrt(176)*-1)**2 + sqrt(176) - (-2 + sqrt(176) + 2 + sqrt(176))**2 - (3*sqrt(6336)*1 + -5)**2.\nAnswer: -57581 + 728*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 728 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 127969 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(((6426\/144)\/(-119))\/(6\/(-4))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2167201203 to the power of 1\/2, to the nearest integer?\nAnswer: 46553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add -0.5 and -139630778043955.\nAnswer: -139630778043955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 260962 is divided by 52189?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from {u: 3, h: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -9*q - 74. Let m(n) = -19*n - 147. Give -13*g(v) + 6*m(v).\nAnswer: 3*v + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110)\/sqrt(2) + sqrt(55))\/sqrt(5) - ((sqrt(1331) + -1 + sqrt(1331) + sqrt(1331))**2 + sqrt(11)).\nAnswer: -11980 + 67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, o: 3, h: 1, l: 6, i: 1, v: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of -7\/2*q**2 + 1\/20*q**5 + 0 - 137*q - 1\/2*q**3 - 1\/2*q**4. Give l(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1133308, 2266611, 3399914, 4533217, 5666520, 6799823?\n\"Answer: 1133303*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7862 is divided by 7123?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 4*s = 5*i - 28, 6 = 2*s. Let g = i + -2. Suppose -3*c + 58 = 5*b, 2*c - 34 = b - 4*b. Solve -5*l + k + b + 11 = 0, 5 = l + g*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tqb when three letters picked without replacement from {s: 4, t: 1, q: 1, j: 1, b: 4, c: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*x - 10*x + 2 - 1.\nAnswer: -19*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 98\/(-14) + 1*3. Which is the closest to 1? (a) 0 (b) 2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3\/2 + k**2.\nAnswer: -k**2*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 15, 66, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 + 5*m**2 - 8*m + 8. Let c be s(3). What is the units digit of c + (-3)\/((-15)\/1565)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 8*m + 5. Suppose -4 + 31 = 3*k. Let j = -35 - 3. Let d = -36 - j. Let o(i) = -2*i - 1. What is d*h(s) + k*o(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/(-45))\/(105 - (-20049)\/(-205)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 951 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 32.960099 rounded to 1 decimal place?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 69 + -60. Let y(z) = -z**3 + 9*z**2 + 5. Let b be y(j). Solve 0 = -5*t + 10*t - b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/75127416 and 83\/1409520?\nAnswer: 751274160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -12648 divided by 37778\nAnswer: -6324\/18889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7 and -220.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 + 4*o**2 + 7 + 0 + 2*o + 2*o. Let k be m(5). Suppose 4*z + k*s - 94 = 0, -3*s = z - 16 - 5. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.7 + 1. Let w = -58872 + 58877. What is the closest to -0.1 in z, w, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 50983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 13640*o - 13640*o - 4*c = 8, 14*o = -3*c + 64 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5256*m - 2 + 7698*m**2 - 1035*m + 720*m + 2 wrt m?\nAnswer: 15396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-36)\/8)\/((-8456)\/(-1232) - 7).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 133*20151.\nAnswer: 2680083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - 1071735?\nAnswer: -1071740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(2\/25))\/(h*h**(-10)*h)*h*h**9*h*h*h**(2\/7)*h)**(-21\/8) assuming h is positive.\nAnswer: h**(-5871\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -36019.04 rounded to the nearest one hundred?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 PM and 2:37 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 322 + -323 - (-4 + -11) - -82.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 60996 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 3*s**3 + 4*s**2 + 13*s + 8. Let h be q(-5). Let v be 26\/(-80)*174 + 83\/h. Are v and -58 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 760 and 3026504.\nAnswer: 287517880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 166913425 and 300444165?\nAnswer: 1502220825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4031 divided by 6\nAnswer: -4031\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-64))\/((-51)\/68).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 13260692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -ba38 (base 12) to base 9\nAnswer: -31088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the second derivative of -3*c**8\/28 + 31*c**4\/3 - c**3\/3 - 203*c. What is the third derivative of x(j) wrt j?\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -2 (c) -0.3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 140322*x**5 + 23*x**2 + 2012*x wrt x?\nAnswer: 8419320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 311163074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 4\/3, 0.4, -1\/20, 1444\/3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/5, 52\/3, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 246623 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 818 = -m, -23*m + 3*i + 2442 = -20*m. Suppose c - 350 - m = 0. List the prime factors of c.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 100*r - 188. Let v be x(2). Solve 0 = -4*y - 2*b + v, 3*y - 19 = -2*b - 2*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - -16. Suppose -3*h = 4*v - 46, 3*v - 5*h - 1 - 48 = 0. Calculate the remainder when s is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-22000)\/(-77) + 4\/14. What is the highest common factor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10555\/3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 186495816 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 13 + 3 = 0. Let f be (-4 - 2)*t\/(-28). Is 0 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 20 - -24. Let m(d) = -d**2 - 23*d - 38. Let i be m(-20). What is the highest common divisor of n and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -49*t + 921. What is m(19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*d - 38 = 44 + 54 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 4254.17ml?\nAnswer: 4.25417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 404848538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6\/7 or -365.3?\nAnswer: -365.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 347.0996mm?\nAnswer: 0.0003470996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3126557996 to the power of 1\/3, to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 3*x - 4. Let s be a(3). Let i be 0 - (3 - s)*1. Suppose i*f = 3*p + 4, 2*f - 3*f + 2 = -5*p. Solve 2*g = -g - 5*j - 10, f*g + 2*j + 8 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbvbbbbbb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (-24)\/56 - (-2176)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 49*x - 43*x - 42 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 12\/(-2)*1*1. Let i(d) = d**2 - 4*d - 1. Is i(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/27 + 1332406\/288. Let o = -4630 + z. Let x = -776 - -12397\/16. Calculate the common denominator of x and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52\/167 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 416586936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-2)*4228\/(-906)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + (-2)\/((-4)\/6). Suppose -4*u - 5*v = -35, 3*u - 2 = 3*v + 4. Calculate the highest common divisor of k and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 663398 + 122.\nAnswer: 663520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 720292348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 302 and 3188?\nAnswer: 481388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1038 + 2703. Does 45 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/3597783 and 143\/332994.\nAnswer: 165498018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(4\/15)*q\/(q**(7\/3)*q)*q)\/(q*q**(1\/6)*q**(1\/22)) assuming q is positive.\nAnswer: q**(-376\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 4:16 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 PM and 11:35 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 132*y**3 + 170*y**3 - 300*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = -4*j - 2*b, 5*j - 2*b - 22 = 3*j. What is the remainder when 47 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5140328 by 43.\nAnswer: 5140328\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((15\/6240*16)\/(-1))\/((-11)\/(-22))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 35138404 + -2?\nAnswer: 35138402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 - 9*i**2 + 8*i + 3. Let y be b(-9). Let q = y + 115. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-4 + sqrt(2)*-1*-1).\nAnswer: -16 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 18*q + 0 - q**3 - 1 + 0*q**2 + 8*q**2 + 3*q**2. Is a(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = -0*y - 12*w + 7*w - 20 - 0, 10*y + w = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -2. Suppose -a*o - 3 = -7. Calculate the least common multiple of o and (-89)\/(-5) + 10 + (-147)\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/4))**(-1\/25)*(x\/(x*x*x**2\/x))**(-9)*(x**0)**(-34)\/(x*x\/(x**(-2\/5)*x)*x)**(4\/25) assuming x is positive.\nAnswer: x**(8803\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the second derivative of -10*x + 3 + 73\/2*x**2 + 13\/3*x**3. Differentiate s(l) wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34435.\nAnswer: 5, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -42361 + 42354.6137. Let u = j - 72.6186. Let b = u - -79. Round b to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 196*d - 387. What is c(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (6 - (1 + 1)) + 22\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -255.2 + 255. Suppose -1 = -y + 1. Let p be 0\/1 + y - 0. Which is the nearest to p? (a) 3 (b) 2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-78)\/195*(-60)\/(-28)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -653 + 623.9. Round t to 0 dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2492*y - 4992*y + 2501*y = w + 36, 4*y + 5*w + 198 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 77755158 and 1638.\nAnswer: 544286106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 4194, 4195, 4196, 4197?\n\"Answer: y + 4193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72*d = 47*d. Solve d*b + r - 1 = -2*b, b + 3*r + 7 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 135763 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 424746 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1674 (base 8) to base 14.\nAnswer: 4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 33*o**2 + 68*o + 75. What is the units digit of d(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the first derivative of 49*n**6\/10 - 672*n**5\/25 + 234*n**4\/5 - 128*n**3\/5 + 24*n**2\/5 + 4. Factor w(j).\nAnswer: 3*j*(j - 2)**2*(7*j - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 - -7. Let a(l) = l**2 - 19*l + 26. Calculate the least common multiple of u and a(18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -54409966 divided by 15914\nAnswer: -3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 240 and 2480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1627 + 1645. What is the remainder when 82 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.2, -3\/41, 1757, 2, 0.\nAnswer: -0.2, -0.1, -3\/41, 0, 2, 1757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 16688 <= -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*z + 29*z + z**3 - 171*z + 41*z + 92*z.\nAnswer: z**3 + 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.039859744 - 4.760138736. Let x = 4.8 + z. Round x to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 3*k**2 + 1263*k + 71886. Give t(-68).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 + -95. Let i = -63 - -15. Let d = i - o. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1746119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*0.41.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -602494 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2614 or 2616?\nAnswer: 2616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7093 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3668*t + 402 wrt t.\nAnswer: -3668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1032 and 24?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.96552 times -448.1?\nAnswer: 432.649512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -3*n - 3*y + 348, 2*y = 0. Suppose -n = -u - 3*u. Suppose -4*t + 20 = 0, -t + 38 = 2*c - u. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -198 - -198. Which is the closest to m? (a) 4 (b) -59 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 3 b when four letters picked without replacement from {g: 4, j: 1, b: 6, d: 6}.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -206\/2063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 83897 and 61977002?\nAnswer: 7627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 39 = 9705*k - 9708*k, 108 - 24 = 6*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 156 = -5*v + 26. Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 2, s: 2, l: 1, u: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -50947100 rounded to the nearest one hundred thousand?\nAnswer: -50900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 145*k**2 - 35*k + 35. Let t(q) = -12*q**2 + 3*q - 3. Give -6*f(c) - 70*t(c).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 69.4, 1\/3, -0.3, 4, 1, 2\/11, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*l - 0*l. Let t be (48\/(-15))\/(-8) + (-2)\/5. Solve t = -2*p - l - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -21 + 21 + 4*h**2. Suppose 0 = -4*y + 2*v, 2*v = 4 - 0. Let r(j) = -2*j - 1. Let b(u) = -3*u - 3. Let k(f) = y*b(f) - 3*r(f). Calculate k(q(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 221601 or 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2959548384.\nAnswer: 2, 3, 13, 1013, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 + 8*g**2 + 9*g + 6. Give a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 84, 171, 260, 351, 444?\n\"Answer: r**2 + 84*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and 0.02.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -6*z**3 - 4*z**2 - z + 2. Let r be f(-2). Let t = -24 + r. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-435*d + 108*d - 210*d)*(0 + 0 - 2*d).\nAnswer: 1074*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve v = 85 - 88 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4, -16, 5, 6 in decreasing order.\nAnswer: 6, 5, 4, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 0, -0.3, -3\/7, -1\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -16223428, -16223449, -16223470?\n\"Answer: -21*t - 16223407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -r + 4, -6*r + 5*q - 8 = -8*r. Let f(p) = 3*p**2 - p. Calculate the remainder when r is divided by f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -20 - -17.9. Let m = a + -0.9. Suppose 14*d + 4 = 18*d. Sort m, 0.3, d.\nAnswer: m, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4756185 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/6? (a) -5 (b) 0.2 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.07 * 10493.\nAnswer: -734.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 63 - 63. Put j, 45, -1 in increasing order.\nAnswer: -1, j, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:28 PM and 9:39 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 67422 is divided by 1921?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 48 = -5*s. Suppose 6*j - s = -0*j. Calculate the common denominator of j and 77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17 - (-12 - -45)) + 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -5.529 times -5\nAnswer: 27.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8\/1079 in 3, -2\/15, -9, 0.4, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 6774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 337 + 18*t**2 - 695 + 358.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s**2 - 50446446*s - 212070326169243 = 0.\nAnswer: -8407741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 10*b = -129, 1114 - 1033 = 2*y - 5*b for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -3253*x**2 - 4 + 4 + 6499*x**2 - 3252*x**2. Let d(s) = 2*s**2 - 166*s. Calculate d(f(n)).\nAnswer: 72*n**4 + 996*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from eqqqgqgqfggfqgfgf?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 306 and 306153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from qqqttqqqqttqt.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gefex. What is prob of sequence eg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 27 = d - 26, 0 = 4*i + 5*d - 56. Suppose i*a + 8*a - 40041 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -245*g**4 + 209510*g**3 - 44700365*g**2 - 38430120*g - 8243280 = 0.\nAnswer: -3\/7, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1 - 0.9. Let a = q + 2. Let m = 0.1 + -0.3. Which is bigger: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + x - 9 = 0, 4*b + 12 = 4*x - 0*x. Solve -m = 0, b*p + 2*m + 16 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*c = l - 69, -114*l + 4*c - 17 = -115*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 91 or 22\/4481?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -7052 by -5898.\nAnswer: 3526\/2949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2033905482 to the power of 1\/2, to the nearest integer?\nAnswer: 45099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 80*d + 3*d**2 + 11*d**2 - 43*d - 48*d to q*d + w + i*d**2 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - a = 16, 0 = -p + 3*a + 5 + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, 239, -1 in ascending order.\nAnswer: -4, -1, 4, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1366\/125 or -11?\nAnswer: -1366\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -27+53830946.56\nAnswer: 53830919.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of 4*v**3 + 0 + 7\/6*v**4 + 8\/45*v**5 + 1\/90*v**6 - 8*v**2 + 0*v. Factor j(w).\nAnswer: 4*(w + 2)*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -375411 (base 8) to base 9\nAnswer: -217043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -45134? (a) -0.2 (b) -0.9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33938.\nAnswer: 2, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4896090 and 108802?\nAnswer: 4896090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 - 17. What is the second smallest value in 1.3, 4, q?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1377 and 476475.\nAnswer: 218702025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 74866 divided by -1.\nAnswer: -74866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 9 divided by 2487712\nAnswer: 9\/2487712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gkmmmimkgmmmm. What is prob of picking 2 k and 1 m?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 36425976421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3198377 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - -2200?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + 7*y**2 - y - 9. Let i be j(-7). Let k = -5.5 + 6. What is the smallest value in k, 6, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(234) - sqrt(234))\/sqrt(2).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -9876 (base 10) to base 6\nAnswer: -113420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cco when three letters picked without replacement from {o: 3, c: 4, m: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 20409\/54180 + 2\/(-8). Let c = k - -2\/301. Let a = 49\/2 + -25. What is the closest to a in 0.1, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 + s**2 - 224*s - 35. Determine j(15).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206 is divided by 67.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -259920546 divided by -6\nAnswer: 43320091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 h, 1 k, and 1 s when four letters picked without replacement from {s: 1, x: 2, m: 1, h: 3, k: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*a - 5 = -10*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2 + 13*i + 10. What is the units digit of z(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 20 - 0. Suppose 5*k - g = -3*g + 10, -3*k + 6 = 4*g. Suppose k*x = 8, 2*j = -3*j - x + 44. What is the highest common divisor of r and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -100684*a - 8 + 1 - 3 + 10 + 100669*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -78 + 45\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 363 - 248. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4495413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 0*c - 3 = 4*c, -7 = d + 3*c. Is d + 44\/2 - 1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 20*n - 17*n. What is the highest common factor of n and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w + w + 2*w. Suppose 6*x + 21 = 9*x. Let l(v) = -17*v + x*v + 3*v + 9*v. Determine l(b(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -48 + 48. Let d be v\/1*(-11)\/(-22). Solve d = 4*c + 16, -3*g + 0*g - 2*c - 23 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - p - 10 - 2 = 0, -s = -5*p + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 16 = -23. Suppose 2*s = -m*s + 270. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 + 25. Suppose 3*f = -5*x + 32, -3*f = -5*x - 7 + 15. Let h be (0 - 2\/f)\/(41\/(-10824)). Calculate the greatest common divisor of y and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is next in 9205, 73655, 248591, 589255, 1150889, 1988735?\nAnswer: 3158035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 1124373288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - a + 130. Suppose 4 = 3*u + 28. Let g = u - -21. What is the highest common divisor of a and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 882 - 1749 + 4*q + 876. Let p(v) = -2*v - 4. Determine 2*k(w) + 5*p(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 11*p. Let c(q) be the first derivative of -8*q**3 + 18*q - 6. Let t(z) = -z**2 + 1. Let o(y) = -c(y) + 18*t(y). Determine o(n(s)).\nAnswer: 726*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w - 9. Let u be j(9). Suppose -2*t = 2*f + 2, 3*f - 6*t + 3*t - 27 = u. Solve 3*y**2 + 6*y**3 + 65*y**f + 0*y**3 - 62*y**4 = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 223348 is divided by 781?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3\/7, 0.4, -0.3, 34.\nAnswer: -2, -3\/7, -0.3, 0.4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 2*d**2 + 37*d - 38. What is y(-17)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -28\/9 and 61\/145?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*r + r + r)*(1 - 1 - r)*(0*r - 3*r + r) to j*r + t + n*r**3 + x*r**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ubbbbubb. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 + -11. Suppose 1 + 17 = g*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13.968 - 14.968. Which is the closest to g? (a) 23 (b) 46 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, 10, 19, 38, 73?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 11:52 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be -14800*(-45)\/(-12)*(-15394)\/(-129). Round r to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66 and 7458.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/2 - 1521\/(-6). Suppose -3*c = -c - m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -4. What is the closest to -3 in -4\/3, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 13*n + 297. Determine v(4).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 2, 6 in increasing order.\nAnswer: 2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 8*h - 66. Determine y(-3).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(13\/6))\/(m*m\/m**(-2))*m**(20\/9)\/(m**32\/m) assuming m is positive.\nAnswer: m**(-533\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (84\/315*(-170)\/(-4))\/((-134)\/201)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 13040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -860.2 * 0.5074\nAnswer: -436.46548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (2109\/304 - 7)*-6\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 655683*o**2 - 1311349*o**2 + 655666*o**2 - 480*o**3.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -30.7 + 255020711\nAnswer: 255020680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 + 6*t + 7. Let b be x(6). Suppose -b*r + 71 = 43. Solve -r = -4*g - 4*f, -6 = -4*g - 2*f - 0*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -40, -2, -5, -0.0675 in ascending order.\nAnswer: -40, -5, -2, -0.0675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -46*b + 5. Let s be (-12)\/(-10)*-1*25. Let o = 27 + s. Is x(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, -1, -80, -3185 in decreasing order.\nAnswer: 3, 0, -1, -80, -3185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-192)\/320 - (-66)\/10. Let m(s) = 3*s**2 - 5*s - 8. Determine m(v).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6274276321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -4332*c - 453. What is b(0)?\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - (-6)\/8*(-4)\/(-5). Put 5, 1\/8, n, -15 in decreasing order.\nAnswer: 5, 1\/8, n, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3254*o**2 + 800*o**2 - 1307*o**2)*(4*o + o - o).\nAnswer: -15044*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiiisiisiwifiwiqqiq. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -41*q - 23. Determine c(6).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-18)\/(-12)*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 30414 (base 7) to base 16\nAnswer: 1cf2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((sqrt(1300) + -2)*-1 - sqrt(91)\/(-5*sqrt(21)\/sqrt(3))).\nAnswer: -49*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-380)\/6*90\/(-4) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 1:05 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 400810479 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes after 8:37 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 40*d**4 + 2*d**2 - 218 wrt d?\nAnswer: 160*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b**5 - 6*b**4 + 2*b**3 + 6*b**2. Let r(w) = w**5 + w**4 - w**3 - w**2. Let j(o) = n(o) + 6*r(o). Suppose j(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 5*l + 32. Let u be (l\/(-6))\/((-8)\/(-48)). Let a = 19 - u. Solve -a - 9 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 305.9 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4449*r - 13334. Give x(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of 13*t**4 + t**3\/2 - 5*t**2\/2 - 9*t. Let j be n(2). Let a be 1024*(-1)\/((-2)\/j). Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140 = 651*w - 671*w. Solve x + b = 3, w = 4*x - x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -35300 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8 - (2\/(-2))\/1. Let s be 1295\/(-45) - 1 - (-2)\/(-9). Let p be ((-16)\/12)\/(-3 - 86\/s). Is w at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 5*y + 16 = -13, -5*v - 4*y - 29 = 0. Are v and -9 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 8 and 0.054.\nAnswer: 8.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of x**4\/24 + 5*x**3\/6 + 2*x**2. Let h be d(0). Find the third derivative of -4*a**h + a**5 + 6*a**5 + 2*a**5 + 4*a**2 wrt a.\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -121\/48 and 85\/4878?\nAnswer: 39024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 202 - 3364*v**3 - 26277*v + 26277*v + 338*v**3 wrt v.\nAnswer: -9078*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31212211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -947 - -1008. Calculate the highest common factor of 1769 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/177, 2\/5, 3, -2, 0 in ascending order.\nAnswer: -2, -2\/177, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 50, 56721, 4, 2, -1 in descending order.\nAnswer: 56721, 50, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -298, 1223, 3758, 7307?\n\"Answer: 507*p**2 - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -7117*i + 3558*i - 4376 + 3557*i as c*i + m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.463 + 1.6252. What is r rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -9. Let y(r) = v - 1 - 2*r + 4*r - 8. What is the units digit of y(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 3 e when four letters picked without replacement from {e: 5, c: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 6 + 0 = 0. Let v(l) = l - 11. Let n be v(f). Is n not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-46)*p**(-37)*p*p**(-1\/16)*p*p**(2\/13)\/p*p assuming p is positive.\nAnswer: p**(-16829\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 29*z**2 - 20*z - 14. Let t be d(-4). Is 29 a factor of t\/2 - (-100)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2524 is divided by 2483?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -264813 * -2.4\nAnswer: 635551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 173.299 + -174. What is the second biggest value in 2\/3, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kbiibkiikcvi. Give prob of picking 1 c, 1 v, and 1 i.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 8*b + 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45) + 4 + sqrt(55)\/(sqrt(11) + sqrt(11) + (sqrt(11) - sqrt(33)\/sqrt(3)) + sqrt(11)).\nAnswer: 4 + 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from wkgwgsgwsg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of -1\/3*n**3 + 0*n**4 + 3*n + 0*n**2 - 3\/20*n**5 + 0. What is the second derivative of f(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5\/((-1 + (-3)\/(-4))*2). Let r(i) = -7*i**2 - 13*i - 6. Let z(c) = 6*c**2 + 12*c + 5. Let h(u) = 5*r(u) + 6*z(u). What are the prime factors of h(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -3*j**2 - 7*j + 2. Let t be s(-6). Let b = 74 + t. Suppose -2*u = 4*k - b, -4*k - 4*u - u + 13 = 0. Solve -3*y = -k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v = -12 - 18. Let k = -7 + 7.3. Let f = k - 4.3. Which is the second biggest value? (a) 0.4 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14 - 14.1. Which is the nearest to 2? (a) f (b) -2\/21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/3)\/(9\/((-108)\/(-28)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -308 (base 11) to base 14\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 61.57299cm in millimeters?\nAnswer: 615.7299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l - 9. Let n = 1 + 5. Let o be j(n). Is 8 a factor of (o - -5)\/(-2 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 16*n + 261 = -16*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11152*g**3*v**2 - 99543*g**3*v + 75*g**3 + 3285*g**2*v**2 wrt v?\nAnswer: -22304*g**3 + 6570*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.043 (b) -6 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 + -6. Let h be (-2*12\/(-9))\/(15*(-21)\/189). Sort p, h, 5.\nAnswer: h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**2 + 14*n - 29. Let p be a(7). Suppose 3*z + 4 = -p. Let m be (-28)\/z - ((-14)\/4)\/(-7). Solve 3*k + 2 = 2*k + m*w, -3*k + 5*w - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1068, 1065, 1062, 1059, 1056?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*r = 37*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of -f**7\/1260 - 5*f**4\/4 + 2*f. Let q(a) be the third derivative of r(a). Let h(l) = 10*l**2. Calculate q(h(p)).\nAnswer: -200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 90358*r**2 - 17*r + 12. Is n(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1902857 to the power of 1\/2, to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2292 + 3206. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -41*(-1)\/9 - ((-540)\/5670)\/(6\/7).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 150 times -5?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3511 (base 10) in base 14?\nAnswer: -13cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**3\/7 - 3876*r**2\/7 + 933120*r\/7 + 2834352\/7.\nAnswer: 4*(r - 486)**2*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -i - 124. Suppose -11384*c + 11891*c - 1014 = 0. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 384 - 384. Let h(f) be the first derivative of 0*f - f**2 - 5 + 1\/2*f**4 + i*f**3. What is the second derivative of h(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4*(-5)\/(-60))\/(2\/18). Let y(x) be the first derivative of -20*x**2 - 16\/3*x - 49\/6*x**4 - 28*x**a + 3. Let y(f) = 0. What is f?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -24\/5 and 10 - 649\/99 - 1*2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 680208859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 78797, 78852, 78907?\nAnswer: 78962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 486900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000010000011 + -100100?\nAnswer: 1000001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + 17 + 3. Let b = s + 13. Solve b*f = 5*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000413567 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17.14 + -23.18. Let h = r - -6.24. Let i = 1 - 2. Which is the closest to -0.1? (a) 5 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*m + 24099 + 3*m + 6*m - 24188.\nAnswer: 4*m - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -1 + (4 - 0 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**3 + 50*g**2 + 5*g - 50.\nAnswer: -5*(g - 10)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 18119 (base 10) in base 8?\nAnswer: 43307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 5*h**2 - h. Let v be z(1). Suppose c + 7*m - 3*m = 648, v*c - 2554 = 3*m. Does 64 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 + 2 - (1 + 1)) + -1636 + 1609?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 1020*v**2 - 295*v + 295*v + 5625*v**2 as b*v**2 + i*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the third derivative of -v**6\/120 + v**5\/15 + v**4\/24 + v**3 + 132*v**2 + 6*v. Let a(t) = -t**3 + 9*t**2 + 2*t + 13. Give 6*a(n) - 13*w(n).\nAnswer: 7*n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4365 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 26 = x + 1, -15 = -x + 3*v. Let u be (x - -5)*4\/5. Suppose -4*d + 16 = -s + 51, -u*d + 25 = 3*s. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2010, -2, 11, 0, -807, 1 in increasing order.\nAnswer: -2010, -807, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-315*w**3 - 740*w + 740*w)*(-5*w**2 + 2*w**2 + 4*w**2)*(-4 + 1 + 2).\nAnswer: 315*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the third derivative of j**5\/60 + j**4\/4 + j**3 + 14*j**2. Let s(u) = u**2 + 5*u + 5. Give -6*s(f) + 5*v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*o**3*x**2 - 23*o**2*x**3 - 6*o*x**3 + 13*o*x wrt o.\nAnswer: 18*o*x**2 - 46*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -102 (base 5) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3473.7 and -213.\nAnswer: -739898.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1871248 or 1871221?\nAnswer: 1871221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 54*l**2 - 33*l\/2 + 3\/4 = 0.\nAnswer: 1\/18, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20 - -60. Let s = 8 - c. What is the tens digit of (3 - s\/(-1))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 51, 358, 1169, 2730, 5287, 9086?\nAnswer: 14373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13374 and 18.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*q - 4*q + 364. Let m = 1 - -3. Suppose q = -m*g + 5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssee when four letters picked without replacement from {e: 4, s: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9825 - 9617. Calculate the greatest common divisor of h and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-16)\/(-24))\/((-2)\/(-27)). Let h be 1*-422*(y + -10). Suppose w + g = -0*w + 86, h = 5*w - 3*g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d - 32 = -16*d. Suppose -99 = -5*g - 2*w, -2*g - d*w - 49 = -5*g. Let j = g + -11. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*j + 53 - 158. Calculate the least common multiple of 1511 and j.\nAnswer: 10577","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 2*h - 10 = 0. Suppose -3*y + 7 = -4*i, 7*i - 31 = 4*i - h*y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 380 - 6*d**2 - 307 + 453 + 11*d**2.\nAnswer: 5*d**2 + 526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -9. Let d(r) = r**3 - 2*r**3 + 8*r + 5*r**2 - 12 + 3. List the prime factors of d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2930 - -2933. Let q = 8 + -7.95. What is the closest to -2\/9 in q, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*c**5\/9 - 964*c**4\/9 - 944*c**3\/3 + 5744*c**2\/9 + 7616*c\/9 = 0. Calculate c.\nAnswer: -238, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 + 24*c**2 - 56*c + 8. Is 44 a factor of w(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 + 6 - 3)*(2*h**2 + 4*h**2 - 2*h**2) + h - h**2 + 1 - h to f*h**2 + d + u*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -239.1082 + 238.3. Round v to two decimal places.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 297 and -1209.6?\nAnswer: 1506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - 6) + (5 - (21 + -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 997 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -2564661 * 3.\nAnswer: -7693983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 312825891.\nAnswer: 3, 7, 17, 876263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 2.27342?\nAnswer: 0.454684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15 + 11. Let n = v + 6. What is the least common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the first derivative of -3\/8*d**4 + 1\/10*d**5 - 1\/6*d**3 + 0*d + 3\/4*d**2 + 2. Let a(o) = 0. Calculate o.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 9 = -3*v - l, 3*l = 0. Let u(c) = -24*c**3 - 14*c**2 - 14*c + 14. Let b(w) = -5*w**3 - 3*w**2 - 3*w + 3. Determine v*u(m) + 14*b(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4958 + -4633. Calculate the remainder when n is divided by 134.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.7 in -226, -0.2, 2\/3, 91, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-25 + 4 + 0)*(46*b - 46*b - 12*b**2) + 2 + 0 - b**2 - 4 to the form c + g*b + j*b**2 and give j.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 11, b: 5, x: 1}. What is prob of picking 2 n?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 7345879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 PM and 2:25 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 509 and 2.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 2*u + 140, 28 = l - 0*u - 4*u. Let t = 884 - 885. Put 4, l, t in descending order.\nAnswer: l, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of -u**2\/2 + 5*u - 1. Let d be w(0). Let y(k) = k**3 - 6*k**2 + 5*k + 7. List the prime factors of y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/3))**24\/((t\/t**(-1))\/(t\/(t*t**11\/t*t))) assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:57 AM and 7:46 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 90, 176, 262?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8332 - 4241. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 times 125132?\nAnswer: -62566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -86.2 - -87. Which is the nearest to 2? (a) -1 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 210073657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3383*r - 3379*r = 16. Solve -2*c + 92*x = 97*x - 50, -r*c - x = -28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 19*g - 2. Let u be 3\/g - (-55)\/10. Let w(t) = t**2 - 4*t - 3. Let a be w(5). Solve -2 = b + a*b - 2*q, 0 = u*b - 4*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -10, -8, -2, 4, 54 in descending order.\nAnswer: 54, 4, -1, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11578.\nAnswer: 2, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1056 - -5?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 483?\nAnswer: -4\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 3*b + 129 = 0, -6*o + o + 188 = -4*b. Suppose x = 5*c - 42, 3*x - 5*x = -2*c + 20. Is (6\/c)\/(10\/o) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (4 + sqrt(1900) + sqrt(1900) + 2 + 3)**2.\nAnswer: 360*sqrt(19) + 7680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 5*d**2 - 1. Let i be j(1). Let l(x) = -3*x - 82. Let c be l(-29). Solve 0 = -c*v + 2*w + 30, v - i*v = -4*w - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j**5\/7 - 3930*j**4\/7 + 7845*j**3\/7 + 3930*j**2\/7 - 7848*j\/7 = 0 for j.\nAnswer: -1, 0, 1, 2, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*b = -67*b + 257334. Round b to the nearest 100.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 + -12.97. Put y, 0, -3\/4 in increasing order.\nAnswer: -3\/4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of 25*q**2\/2 + q + 266. Let d(w) = -2*w. Let m(z) = -8*z. Let p(f) = 9*d(f) - 2*m(f). Calculate p(x(b)).\nAnswer: -50*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4*271\/(-12) + 2\/(-6). Suppose -8 = 4*b + 4*p - 44, 5*b - 4*p = h. What is the highest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*a**2 + 7267*a**3 + 48*a**2.\nAnswer: 7267*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 119421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 416*n**3 - n - 8. Let s(u) = -417*u**3 + u + 10. What is -4*s(k) - 5*w(k)?\nAnswer: -412*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*d - 51*d - 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 154\/13 in 13, 0.03, 6, 0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -3*k + 20. Suppose 0 = -k*a + 1 + 69. Suppose -914 = -31*z + 822. What is the greatest common divisor of z and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 219 is divided by 157.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**3)**36\/(n**7\/n*n*n*n**(-10)*n*n) assuming n is positive.\nAnswer: n**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 9679*g. Let n(i) = i**2. Calculate n(p(k)).\nAnswer: 93683041*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -1 + 2*h**2 - 2*h**2 + h**3 + h**2. Let g be -1*0\/3 - -25. Suppose g = -5*m - 5*n, 0*m + m - 3*n = 11. Calculate i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2834101 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 143.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*p**4 - 4*p**4 + 4*p**4 - 8*p**2 - 6*p**4 + 8*p**2 + (p + p + 0*p)*(2*p - 2*p**3 - 2*p).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.4 + 67.6. Let q = -0.59 + -58.41. Let k = q + p. Which is greater: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1002 + 12?\nAnswer: -bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -21, 157, 0, 6, 1 in decreasing order.\nAnswer: 157, 6, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 186146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 2\/3 (c) -0.3 (d) 174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*d**4\/7 - 194*d**3\/7 - 1328*d**2\/7 - 1576*d\/7 + 480\/7 = 0 for d.\nAnswer: -4, -2, 1\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -153729*v**4 - v**3 + 1821320*v**2 wrt v.\nAnswer: -3689496*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 5*k + 161, 2*k - 5*m = -37 - 40. Let p = k - -29. What is the third biggest value in 4, p, -3\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -394*p - 3*p**2 - 28*p + 2*p**2 - 158*p.\nAnswer: -p**2 - 580*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1377, -2800, -4223?\nAnswer: -5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3704436 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(11) + -1*sqrt(11))*-1 + sqrt(891)*1.\nAnswer: -4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -7 + 2 - 2*o + 2*o**2 + 7. Give m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2*p - 415 = 0, 2*b + 4*p = 4*b - 282. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 5\/(3*(-15)\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 102 + -95. Calculate the highest common divisor of s and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 101 + -1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 42 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6962198011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2*d - 4)*(-6 + 4 + 10)*(4*d**2 - 3*d**2 + d**2).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y - 31 = -a - 11*y, -5*y + 64 = 4*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 8:42 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -20.4, -18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 261 and 77952\/192*(18\/(-4))\/(-3)?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 51336605100 to the nearest 1000000.\nAnswer: 51337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -11 - -1 - 12144\/(-1210)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*t + 250 + 286 + 250 + 268 - 1054.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.01? (a) 2\/19 (b) -136 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 5*x = 3*x. Let i be 0\/2 - 1*-2. Put 5, x, i in descending order.\nAnswer: 5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 676795, 2707071, 6090843, 10828093, 16918803, 24362955, 33160531?\n\"Answer: -3*y**3 + 676766*y**2 - y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 146265 + -1353?\nAnswer: 144612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-122)\/(-18) + (1860\/108 - 17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 = 4*z - 61. Let q = 1.4 + 0.6. Which is the second biggest value? (a) q (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + -11022?\nAnswer: -11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (-16 + 8) - 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + -4. Let h be -1*(1 - 5) + (3762\/45)\/(-22). Let t be 1\/(-5)*-3*1. Which is the second biggest value? (a) z (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 2*i = 5*z - 19, 0 = -4*i - 8. Let g = -2 - -7. Solve 4*u = -4*v - 4, g*u - 52 + 7 = z*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 49275.9 millilitres to litres.\nAnswer: 49.2759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4) - (sqrt(4) - ((sqrt(400) - (sqrt(400) - sqrt(400)*-1) - sqrt(400) - sqrt(400)) + sqrt(4))))\/sqrt(2) - (6*sqrt(12)\/sqrt(6)*-3)**2.\nAnswer: -648 - 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -381 - 0.25373537139?\nAnswer: -381.25373537139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/2289215 and 1\/145.\nAnswer: 66387235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 3*k - 3*v - 2, -k = 5*v + 22. Let c be ((-7)\/14)\/(k\/12). Let a(b) = 5*b - 5 + 0*b**2 + 1 + 0*b**2 + b**3 - 4*b**2. Determine a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -18 + 16. Let r be 5 - 2 - 0\/c. Solve -8\/3*i**r + 0*i + 35\/3*i**5 + 31\/3*i**4 + 0 - 4\/3*i**2 = 0 for i.\nAnswer: -1, -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/156 and -91\/332828.\nAnswer: 12980292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 3*j + 14 = 0, -3*j + 7*j = -3*k + 20. Which is the third biggest value? (a) k (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2954 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2, -2.8, 11, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**3 - 2*j**2 + 2*j - 1. Let z be l(-3). Suppose 2*c + 2 = -z. Let r = c - -5. Solve 0 = r*d + 2*d - t + 10, -2*t = 4*d + 22 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -158.0461 times -17?\nAnswer: 2686.7837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r**2 + 24*r + 61. Give w(-15).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -240774427 - -57.42\nAnswer: -240774369.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes before 6:50 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -39 + 42. Let v = -22 + 25. Suppose v*n + n + b - 37 = 0, 5*n + o*b - 55 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - g = 8, 6*i = 4*i + 3*g + 17. Let m be 2\/(i\/(-5)*-2). Solve 2*h = -4*o + 12, -3*h - 6 = -m*h - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 3, u: 17}. Give prob of sequence uuk.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 41*g**3 + 1 - 43*g**3 as n*g**3 + r*g**2 + p + y*g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 599 and 807816?\nAnswer: 807217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -181 - -157. List the prime factors of a\/30 + 2109\/5.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 3, 2\/15, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (3*k - 7*k - 11*k + (-k + 2*k + 2*k)*(-7 + 2 + 3) - k + 1 - 1)*(0*k**2 + 4*k**2 - 2*k**2) in the form j*k**3 + t*k + x + n*k**2 and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 37 (b) 0.26 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002167432 rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 3. Let h = s + -1. Let l = 134\/85 - 20\/17. Which is the smallest value? (a) h (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 120679, 120681, 120683, 120685, 120687, 120689?\n\"Answer: 2*s + 120677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -0.0497, -0.4, 2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 5*d**2 - 8*d - 10. Let k(c) = 4*c**2 - 8*c - 8. Calculate 6*k(f) - 5*w(f).\nAnswer: -f**2 - 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 207659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p**(2\/3))**(-15\/7))**(-9))**(-1))**(-7\/3) assuming p is positive.\nAnswer: p**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = h + 5*k + 85, -5*k - 57 = 3*h. Let w = h - -25. Let a = -19 - -62. What is the remainder when a is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6571*n + 764*n - 7181*n + 2.\nAnswer: -12988*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4836*t - 15383 - 9692*t + 4855*t to the form v*t + n and give n.\nAnswer: -15383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 3. Suppose -4*r = -2*b - 18, -b - 2*b = r - 8. What is the biggest value in z, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -0.602, -5, 0.3?\nAnswer: -0.602","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 1 + ((sqrt(108) - (sqrt(108) + 2)*2) + 1 - (sqrt(108) + 0 + -4)*2)*-6)**2.\nAnswer: -7344*sqrt(3) + 36148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 o when three letters picked without replacement from poporpoo.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -20436 by 729.\nAnswer: -6812\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g. Let m = -90 + 158. Suppose -70*n - 8 = -m*n. Calculate c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w - 3. Let b be l(4). Let v(i) = i - 2. Let r be v(b). Let u be 10\/(4\/(1 + 1)). Solve -4*n + u = -5*n, -21 = 3*a + r*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - 4*x + 5. Let z be j(5). Suppose 35*s = 67*s - 3520. What are the prime factors of 1004\/z - (s\/25 + -4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9496 - 54374 - 67769 + 3*x - 932 + x**2.\nAnswer: x**2 + 3*x - 113579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(500) - -3*(2*sqrt(500) - sqrt(500))) + sqrt(500)*-1*5)\/(-1*(sqrt(144) - (3*sqrt(144) + sqrt(144)) - sqrt(144))*-3).\nAnswer: 5*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.5 + -3. Let t = 178 + -174. Suppose 2*r + w = -1, 0*w - t = 2*r - 2*w. Which is the nearest to r? (a) -0.2 (b) u (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -22*r**3 + 2*r**2 - 7*r. Let y(c) = -11*c**3 + c**2 - 4*c. Let b(p) = 4*l(p) - 7*y(p). Suppose i = -2*i - 3. What is the units digit of b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 107 + 33. Suppose 0*t + 5*h = -5*t + r, 4*h = -5*t + 138. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14787113357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*2\/105*(4\/1 - 3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10103.1 + -2841.82303.\nAnswer: 7261.27697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -41 - -45. Suppose 1 + q = 5*j. Let w be ((-4)\/14)\/(18\/(-14)). What is the closest to 0 in w, j, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001015992792 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3*(-20)\/6)\/((2059\/284)\/29).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -219*v + 176889 = -602156 - 919519. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -30. Suppose -t = -6*r + 4*r, t + b = 5*r. Let x(m) = m - 3. Let q be x(t). What is the highest common divisor of 40 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2093000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -23 - -26. Let w be (7 - u) + (0 - 22). What is the tens digit of 3 + (2 - (-1 + w))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*5*(sqrt(325) + (sqrt(325) + 1)**2 + -2).\nAnswer: 225*sqrt(13) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 3348*w**3 + 2*w**2 + 6*w - 4. Let h(j) = -6695*j**3 - 5*j**2 - 13*j + 8. Let x(t) = -2*h(t) - 5*r(t). Let p be x(1). Round p to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 17*d - 4. Calculate w(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15 - 11. Suppose 0 = 4*x, -91*a - x = -93*a - 784. Let b = -384 - a. Solve o - w*o + 2*p - b = 0, -5 = 4*o + 3*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of -1\/20*i**5 + 6*i + 1\/2*i**4 + 0*i**3 - 2*i**2 + 0. What is the tens digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 - 35) + 85 + (-2 - (2 + 0)) + 1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2649, -2\/9, -0.02, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l**2. Let b(z) be the first derivative of 19*z**5\/120 - 5*z**3 + 3. Let u(v) be the third derivative of b(v). Give u(i(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2026421 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 10102 (base 5) to base 15.\nAnswer: 2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2a (base 13) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4956028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20748 is divided by 9439.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Expand 161*m**4 + 47*m**2 - 3*m**3 - 88*m**4 - 72*m**4 + (-2*m + 3*m + m)*(-m**3 + 4*m**3 - m**3).\nAnswer: 5*m**4 - 3*m**3 + 47*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.024 from -0.83226.\nAnswer: -0.80826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/(-2)*225\/(-50). Let u = 3 + -8. Let l = k - u. Sort -2, 0, l in increasing order.\nAnswer: l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5*-0.0517\nAnswer: -0.02585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from auojzjauujhj. Give prob of picking 1 j and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4399658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 3*r**5\/4 + 96*r**4 + 531*r**3 - 4353*r**2\/2 + 9489*r\/4 - 1647\/2 = 0. Calculate r.\nAnswer: -122, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3 + 9102*k**2 - 63628*k + 54528.\nAnswer: -2*(k - 4544)*(k - 6)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 18\/30 + (-217)\/(-5). What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 5*a + 12. Let h be g(2). Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -11905, -7191, -2477?\n\"Answer: 4714*k - 16619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 68, 176, 328?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -10*k - 4*k + 13*k. Let c(p) = 3*p. Give c(s(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of r**6\/60 + 7*r**5\/60 - 5*r**4\/24 - r**3\/2 - 2*r**2 + 11*r. Find the second derivative of n(t) wrt t.\nAnswer: 12*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 16) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 - 26*q - 1. What is k(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 1162*g + 1. Let v be o(3). Let w = -290 - -282. Is w\/20 - v\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -l**5 + 8143*l**3 + 7*l + 7462 wrt l?\nAnswer: -20*l**3 + 48858*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3\/(15\/5513) - (22 - (-6384)\/(-285)) is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 6:31 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 57554, 115117, 172680, 230243?\n\"Answer: 57563*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-21)\/35 + (-672)\/80?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 400*d + 112 = 384*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 5) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*y**3 + 121*y**3 - 99*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 2*h - 12 = -4*h, -i - 4 = -3*h. Let y be 0\/(i - -3) - -4. Solve -y*d - 3 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7094497595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (1 - -18) - (-155 - -168).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*5\/((-10)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -4 + 24. Suppose 0 = -5*m + f + u, 0 = -5*m - 3*f - f - 5. Suppose 8 = 2*w + 2*w. Solve -i = -w + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1246)\/(-1780)*(-50)\/(-14)*(-13)\/((-1495)\/(-12)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 483 = 2*q - 4*u - 747, -2440 = -4*q + 4*u. Let h = 3023\/5 - q. Let a = -2 - -1.5. What is the nearest to h in 0.1, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of -m**8\/9240 + m**6\/1980 + 11*m**3\/6 + 2*m. Let q(w) be the second derivative of y(w). Factor q(f).\nAnswer: -2*f**2*(f - 1)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.03? (a) -0.1 (b) 1\/6 (c) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 483733844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/20*-9*(-32)\/(-216)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -120 - -205. What is the remainder when (1 - 4 - 3) + v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -25401 (base 11) to base 6\nAnswer: -440342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -377647\/7 or -53951?\nAnswer: -377647\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3076, -3078, -3080, -3082, -3084?\nAnswer: -3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 - 12*z**2 - 2*z + 7. What are the prime factors of v(-12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzv when three letters picked without replacement from vzvvvzvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 560\/(-110)*(-3)\/36*60\/70?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 7*w**2 + 6*w - 2. Let h(t) = t**2 + t - 1. Let j = 52 + -48. Determine j*h(y) - q(y).\nAnswer: -3*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 244 = 4*l + 24, -12 = 3*z. Calculate the greatest common factor of l and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 473\/628 - 1\/314. Let g = -22 + 22. Factor g + 0*n + 0*n**3 - f*n**4 + 3\/4*n**2.\nAnswer: -3*n**2*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7890 divided by 17349.\nAnswer: 2630\/5783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -6 + (3 - (5 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 12 - 6 - 11 - (-31 - -27)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/((l\/((l**0\/l)\/l))\/l*l))**(-26\/9)*l*l**7*l\/(l*l**(-2\/15)))\/(l**(2\/19)*l**(-5))**(-6) assuming l is positive.\nAnswer: l**(-13216\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqvv when four letters picked without replacement from qoooqovqqv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - (-15)\/6)*2. What are the prime factors of 5\/n*(-18)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0156 * -1.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 284148 and 3258.\nAnswer: 51430788","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -7, -44, -163, -406, -815?\n\"Answer: -7*q**3 + q**2 + 9*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2192, -3539, -4456, -4727, -4136, -2467, 496, 4969?\n\"Answer: 36*y**3 - y**2 - 1596*y - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0 * -1.85\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5 + (189\/14 - 25\/(-10)))*1. Solve 3 = -g + d*n - 10*n, 3*g - 5*n + 7 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -28 in -1, 0.6, 23, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6879.019 less than -813.1503?\nAnswer: -7692.1693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -69 + (-1 + 2)*21*(-14)\/(-588)*-16.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qwcw. Give prob of sequence qc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 1\/6 (c) 0 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + -2)*10\/4. Let c = r - -5. Solve -4*b + 7 + 13 = c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3064430203?\nAnswer: 29, 547, 193181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**6\/30 - u**4\/12 + u**3\/3 - 50*u**2. Suppose -4*n = -4*m - 8, 5*n = 4*m + 2 + 9. Let g be h(m). Solve 5*t - 6 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 - 2 + 4)*(-2 + 5 + 0)*(52 - 323 + 38)*(2 + 0*j - j - j) to h + t*j and give h.\nAnswer: 4194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1011504?\nAnswer: 2, 3, 13, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5375 and 41025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2*w - 5. Let f be g(-11). Suppose -f*s = -14*s - 30. Let r be (-8)\/s*60\/(-84). Which is the third biggest value? (a) -0.4 (b) 1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (1*-3)\/(-7 + (-4226592)\/(-603804)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -151.5 + -9.2. Let k = g + 170. Let r = k - 9.4. Which is smaller: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*b**4 + 303*b**3 - 10752*b**2 - 476295*b - 235422 = 0.\nAnswer: -58, -33, -1\/2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1656826781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.18 plus 280?\nAnswer: 280.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s, 1 g, and 1 j when four letters picked without replacement from {j: 1, a: 3, s: 3, g: 3, d: 2, o: 1}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuvuvuu. What is prob of sequence uu?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 - 8*j - 6. Calculate i(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*a**2 + 13178*a + 861746 wrt a?\nAnswer: -12*a + 13178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 299*26764\nAnswer: 8002436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 31976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4325710?\nAnswer: 2, 5, 491, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 4*t + 6 = 0. Suppose -t*w - 5*b + 1 = -2, 5*b = 4*w - 51. Let h(f) = f - 1. List the prime factors of h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12445*a**2 - 12447*a**2 - 34331 + 114*a + 34331.\nAnswer: -2*a**2 + 114*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 22096, 43982, 65870, 87760, 109652, 131546?\n\"Answer: d**2 + 21883*d + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20 + -16. Let b be (-1 - -1)\/(j + -6). Let s = 2.75 - -0.25. What is the second biggest value in 0.2, -1, s, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3460*x = -10864*x - 56048 + 19028 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5529 or -5530?\nAnswer: -5529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p*p**(-27)\/p))\/p*p\/p**(-20)*(p**(2\/3))**(4\/13) assuming p is positive.\nAnswer: p**(1919\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31 - 28. Let d be (-6316)\/12 + 1\/v. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 4, w: 6, d: 2}. Give prob of sequence ccwd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - 8*c + 1. Let d be u(6). Let y = d - -18. Is y at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 - 2*m**2 - 8*m - 3. Let p be c(-2). What is the fourth smallest value in -6\/5, p, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 169009789.\nAnswer: 13, 13000753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p - 14*p - 1543416 = -3*t, t + 5*p - 514478 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 148 (c) -2\/3 (d) -4\/3 (e) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sum 5.2494 and -3.\nAnswer: 2.2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 12*h + 1. What is x(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**3 + 7*c**2 - 7. Let f be -14*3\/18*3. Let b be d(f). Is -1*(b - -3 - 649) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -636 + -4?\nAnswer: -63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + r**3 + 1)*(-19 + 19 - r + 1 - 1 - 2*r + (-r + 3*r - r)*(1 + 1 - 1) + 0*r - 3*r + 2*r).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 2*v - 234, -2*a + 1 = -5. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -62*c**3 + 346*c**2 + 17*c - 346. Let o(s) = -4*s**3 - 2*s**2 + s + 2. Let f(x) = 30*o(x) - 2*t(x). Factor f(h).\nAnswer: 4*(h - 188)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**3 - 6*l**3 + 7*l**3 + (-2*l**3 + 5*l**3 - l**3)*(2 + 1 - 7) in the form j*l**2 + v*l**3 + c + p*l and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c + 3*c - 15. Let s be 1185\/9 - c\/(-9). What is the lowest common multiple of 8 and 4\/(-6) + s\/9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 - -0.083094?\nAnswer: -0.216906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) -0.1 (d) -0.6 (e) 2 (f) 0.06059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3)\/2)\/(3\/212). Let s = 182 + j. Let v be -2 + (s\/16 - 3). Which is the smallest value? (a) -5\/2 (b) v (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17463?\nAnswer: 3, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 4*o**2 - o + 2. Let b(a) = -12*a**2 + 91*a - 13. Give -b(u) - 5*q(u).\nAnswer: -8*u**2 - 86*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/11, -999.7, -0.5, -4, -698?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 27535 and 22028?\nAnswer: 110140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23012726?\nAnswer: 2, 11, 31, 41, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q**2 - 26*q + 14. What is the least common multiple of 3\/(6\/(-4) + 36\/20) and s(-12)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m - 18 = -6. Let l(f) = -3*f**2 + 2*f**3 - m + f + 0*f**2 + 0*f. Let r be l(2). Solve h = 2*a - 14, a = r*h + 5*a - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -55.5 - -56. Let i = 0.2 - h. Let x = -37 + 37.8. Sort i, x, -1 in ascending order.\nAnswer: -1, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the first derivative of f**4\/2 - 14*f**3\/3 + 7*f**2\/2 + 8*f + 1480. Calculate q(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2976 (base 12) in base 6?\nAnswer: -34230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4360581 to the nearest integer?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -570*a**3 - a**2. Let d be h(-1). Suppose 169 = -5*c + d. What is the units digit of (5\/(c\/212))\/((-3)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -476, 2, 0 in descending order.\nAnswer: 2, 0, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -88 = -2045*u + 2034*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 67 times 2042\nAnswer: 136814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 105 (base 7) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(184\/(-32) + 6). Solve 13*h - 11*h + n = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 186 - 201. Let c = -58 + 41. Let z = u - c. What is the second biggest value in z, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 + 9*x + 11. Let r be v(-8). Suppose 29700005 = -r*i + 5*q, 5*i + 28644369 = -2*q - 20855629. What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*q - 25 - 5*q + 5*q.\nAnswer: -4*q - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -149*r**3 + r**2. Calculate the remainder when i(-1) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2215261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 116 = -5*g + 623, -4*u - g + 676 = 0. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -157*y + 85*y - 499*y = -11420 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71330453 is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*s = 6*s - 31*s. Let m = -518 - -3632\/7. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-141)\/(-4)*(-860)\/(-666). Let v = r + -2\/111. Find the common denominator of v and 21*(-66)\/(-216) + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 175.3 + -174.3. Put -1\/5, m, 14\/15, -2 in descending order.\nAnswer: m, 14\/15, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 36420790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12553 is divided by 145?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*i + 2*m - 4341 + 8975 = 4089, -m + 127 + 255 = 5*i for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 + 8*y**2 - y + 5. Let j be n(8). Let w be -2 - j - (4 + -1393). Suppose -7*b = -2*b - w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1554 + 1583. What is the remainder when 130 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 AM and 12:40 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 5*x = -0 - 3, 3 = -5*j - 2*x. Let l(m) = -2*m**2 + 2*m. Let y be l(j). Which is the third biggest value? (a) y (b) 14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*j**3 + j + 0*j - 35*j**3.\nAnswer: -9*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36 + (3 - 2) + 38 + -54 + 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 PM and 5:26 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/3*26\/((-2730)\/77)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 225, 1668, 5561, 13128, 25593, 44180?\nAnswer: 70113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2 - 2*s + 24.\nAnswer: -(s - 4)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 5395068244 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*c**2\/3 - 106*c\/3 - 4 = 0. Calculate c.\nAnswer: -3, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1208 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-4\/3)\/w*w)\/((((w**1*w)\/w)\/w)\/w))\/((w\/(w\/(w**(2\/7)\/w))*w)\/w)**29 assuming w is positive.\nAnswer: w**(428\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -794\/5 + 807\/5. Let l = -151\/40 - 57\/40. What is the common denominator of f and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*s**4 - 81*s**3 + 92*s**2?\nAnswer: -48*s - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.7 and -50.7862?\nAnswer: -35.55034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1632 divided by 204?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7632 - 10572 - 13205 + 9809 + 2144 - 23234)*(-z - z - z).\nAnswer: 128070*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**4\/9 - 4*l**3\/3 - 106*l**2\/9 - 20*l\/3 + 176\/9 = 0. Calculate l.\nAnswer: -4, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 3*w**3 - 53*w**2 - 65*w + 1926. Calculate l(21).\nAnswer: 4971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z - 4850 = -17*z. Is (-1240)\/(-20)*z\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0081121 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 195601511 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(242)\/sqrt(99))\/(4*sqrt(8)).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1435073.27104241 + -731329.28304199. Let d = c + -703744. Let w = d - -0.012. What is w rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 105348345 to the power of 1\/2, to the nearest integer?\nAnswer: 10264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n - 1. Let i be j(-2). Suppose z = -5*q - i + 104, -3*q - 2*z + 59 = 0. Solve 5*m - 5*g + 0*g - 15 = 0, -5*g = 4*m - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -19*(-126 - 5)*(-2)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the second derivative of 0 - 4*y + 1\/5*y**3 + 1\/10*y**4 + 1\/50*y**5 + 1\/5*y**2. Solve l(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.08192767*-8\nAnswer: -0.65542136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 6*i**2 - i**2 - 389*i - i**2 - 8*i**2 + 2*i**2 in the form y*i**2 + x + f*i and give f.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in -5, -2, 0.31, 4?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -76*f - 4853. Give w(-64).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1873, 1865, 1847, 1813, 1757, 1673, 1555?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -5*b - b**2 - 2*b - 3 + 9*b + 0*b**2. Give s(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 12 = -9*k. Find the common denominator of (4\/10)\/(16\/(-452)) and (k - 10\/6)\/(-2)*98.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.5, -5, -2\/299, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(18) + sqrt(72))*4*-5)\/(sqrt(24) + sqrt(864)*-2).\nAnswer: 120*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 14, 29, -27 in descending order.\nAnswer: 29, 14, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -13*r**3 - r**2 + r - 1. Suppose 5*g + 26 = 31. Calculate m(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 2*m**3 + 135*m**2 - 80*m - 56. What are the prime factors of z(-68)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7098)\/(-455) + -22)\/(9\/(-15)).\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*v**3 + 165*v**2.\nAnswer: 5*v**2*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n + m + 6, 4*n + 3 = -2*m + 15. Which is the second smallest value? (a) 6 (b) 0.2 (c) -3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3 + 12*u**2 - 21*u + 10.\nAnswer: -(u - 10)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 840661 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 6, c: 1, y: 1, d: 1, o: 1, g: 1}. What is prob of picking 3 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are -266 and -264 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/1920 and -13\/160?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -9*k**3 - k**2 - 2*k + 5. Let r(x) = 5*x**3 + x - 3. Give -3*p(u) - 5*r(u).\nAnswer: 2*u**3 + 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(((l*l**8*l*l)\/l*l)\/l))**(19\/3)\/((l*l\/(l*l**(3\/7)*l)*l)\/l**(2\/135)))**(1\/30) assuming l is positive.\nAnswer: l**(-54391\/28350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -350386058 - 1?\nAnswer: -350386060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(3 + -1) + -175 + 7. Let u = l + 166. What is the second biggest value in 1, 2, 4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 346248 is divided by 86473?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14863 + 14862. Put 2, g, 8, 5, -13 in decreasing order.\nAnswer: 8, 5, 2, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is i in -4*i**2 + 2328*i + 21276 = 0?\nAnswer: -9, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 378 = 2*l, -5*s = -32*l + 37*l - 1860. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2197992 + -667.\nAnswer: 2197325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -303 + 300. Let z(l) = -2*l**2 + 14*l + 25. Let f(d) = -d**2 + 6*d + 12. Let p(s) = b*z(s) + 7*f(s). Determine p(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 359, 1582, 3861, 7394, 12379, 19014, 27497, 38026?\nAnswer: 50799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1554538 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.062 - -85.062. Let y = q + -84. Which is smaller: y or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -7 + (-2 - 0 - 2). Let u(j) = 3*j**2 - 11*j + 11. Let h be u(x). Suppose m - g = h, -2*g - 1002 = -2*m - 3*g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 8*r**2 + 2*r + 16. Let h be s(-8). Solve p - 3*b + 3 = 19, h = 3*p + 2*b + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 5) + 4 + (3 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -3*l - 3*d, -d + 0*d + 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -17, 4\/5, 1, 15, -0.06 in ascending order.\nAnswer: -17, -0.06, 4\/5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes before 5:02 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 5*z = -10, -3*u + z + 3 + 8 = 0. Suppose 5 = u*g, 0*g + g + 23 = 2*r. Suppose -3*q + 15 = -r. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3 + sqrt(13)*-2 - sqrt(13)) + -1*sqrt(117)*-3.\nAnswer: -9*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -576 - -567. Let w(z) = -z**2 - 8*z - 8. Give w(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 5, b: 2, m: 5, e: 7}. What is prob of picking 2 k and 1 b?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11059 + 5531 + 5528 - 5937*q**2 to the form o*q + l + s*q**2 and give s.\nAnswer: -5937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + 4 + 2 + -31 + 28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5243 - -5240. Which is the closest to 0? (a) m (b) -4 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -8.2582926 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1199\/1430 - (-8)\/(-10). Let t = 11\/52 + u. Let l = 24 - 22. What is the second biggest value in l, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33 + -31. Suppose s*b - 4*b + 5*o = 8, -4*b + 4*o = -8. Let c(i) = -i**2 + 8*i - 12. Let t be c(b). Solve l = -t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 9:55 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**3 + 5*u**2 + 4*u. Let s be w(-4). Suppose s*t = -5*t + 105. Suppose t = 3*q - 2*q + 2*o, 2*o = 8. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*t - 104 = 160. What is the remainder when 4 + (0 - (-7 + -4)) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**3 - p**2 + 4*p + 2. Let r(x) = x**3 + 2*x**2 - 4*x - 3. Let y(w) = -3*i(w) - 2*r(w). Let k(j) = 8*j**3 - 3*j**2 - 9*j. Give -2*k(v) + 5*y(v).\nAnswer: 4*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 1343\nAnswer: -1\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/(-56)*2*1. Let x = 4 - 4.3. Let j = x - 0.2. What is the closest to l in -2, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/6*9\/12. Let a = 133\/6 - 65\/3. Sort 1\/7, a, l in ascending order.\nAnswer: l, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 4*j - 1. Let x(u) = -u**4 - u**2 - 1. Let z(n) = 2*n**4 + 4*n**2 + 3. Let w(i) = j*z(i) - 3*x(i). Find the third derivative of w(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*z + 5. Let a(o) be the second derivative of 2*o - 7\/6*o**4 + 3*o**3 - z*o**2 + 0. Let a(b) = 0. Calculate b.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*c + 4*c + 4*c + (-3 + 1 - 1)*(-c - c + c) - 310 + 310 - 98*c)*(2 - 2 + 1)*(-2*c + 4*c - 4*c).\nAnswer: 184*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 971 + -864. Let h be (-5)\/((-20)\/(-8)) + 6. Suppose p = -4*p + 10, -h*f = -2*p - 144. Calculate the remainder when s is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(78)\/sqrt(6) + 4).\nAnswer: -16 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/7 or 22221.88?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.178 - -2.104. Let x = h + 0.074. What is the second biggest value in -12, x, 3, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 373674 and 416206.\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let n = 537673\/781042 - 13\/6619. Calculate the common denominator of -69\/236 and n.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 538224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -863 + 863. Solve n = -6*v + 3*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirty-four fifths of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -46, -197, -450, -805, -1262, -1821, -2482?\nAnswer: -3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does -34\/13 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17357\/(-2042))\/((-17)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-100)\/75)\/((-5)\/((-150)\/(-4))). Solve -2*x + 15 = u, x - w = 6*u - 7*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (m**3 - 2*m**3 + 2*m**3)*(5*m**2 - 3*m**2 - 4*m**2) + (-32*m - 80*m + 211*m)*(-4*m**2 + 3*m**2 - m**2)*(-3*m + 2*m**2 + 3*m).\nAnswer: -398*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 248 - 2588. Let z = -1433 - t. Is z a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 4, k: 1, g: 8, e: 1, n: 1}. What is prob of picking 1 e and 3 g?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -0.3 (c) 4 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the third derivative of y**6\/15 - 71*y**5\/15 + 35*y**4\/6 + 1179*y**2. Find w, given that q(w) = 0.\nAnswer: 0, 1\/2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2552, -10211, -22984, -40877, -63896?\n\"Answer: -s**3 - 2551*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-90)\/(-234))\/((-7)\/(-182))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001333928 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1076453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - 1a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 452*b**3 - 122*b**2 wrt b.\nAnswer: 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 4*s**2 + 10*s - 13. Suppose -6*i - 165 = 9*i. List the prime factors of l(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -107, -162, -255, -398, -603, -882, -1247?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-225)\/600 + (-2 - 951\/24) + 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from byyhbhkbyhbbhhkx. What is prob of sequence bxxy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 2*z**3 + 30*z**2 - 32*z + 2. Give q(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 7:14 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 96777672.\nAnswer: 2, 3, 4032403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -261*12\/(-108)*1\/1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -38\/3 and -51\/299.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5.4 + 2.4. Which is the third smallest value? (a) 0.4 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -2*g - 17 + 5, 3*b + 6 = -g. Find y, given that b*y + 1\/4*y**2 + 0 - 7\/8*y**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -155, 547, 2467, 6217, 12409, 21655, 34567, 51757?\n\"Answer: 102*n**3 - 3*n**2 - 3*n - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4 = 2*a + 2*d, -3*a - 4*d + 2 = 0. Let v be ((-56)\/12)\/(a\/(-3)). Solve -4*l - 5*y + v = -15, -3*l + 3*y + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8*75\/360*352306*(-12)\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 133.06 - 133. Which is greater: -0.031 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/28328 and -25\/748.\nAnswer: 5297336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 563*j*s*w - 4229*j*s + 10*s + 18*w**2 wrt w?\nAnswer: 563*j*s + 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 1.1, -3, 1.22?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m + 2*m - 3*m)*(-2 + 1 + 2)*(-2 - 4 + 3)*(-63 + 8 - 45)*(4 - 2 - 3).\nAnswer: -300*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -6*f - 2. Let o(h) = -5*h - 2. What is -3*o(b) + 2*s(b)?\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of -3*s**5\/70 - 85*s**4\/84 + 16*s**3 - 10*s**2 + 446*s. Factor i(c).\nAnswer: -2*(c - 3)*(9*c + 112)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 3 f when four letters picked without replacement from {m: 1, f: 8, v: 5, d: 2, h: 2}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3287 + 3401. Solve 0 = 9*y - q + 96 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/6 + (-5)\/(-10). Let l be (-2 - (v - 5))*(-524)\/(-6). Suppose -2*j + i + 309 = 0, 2*j - l - 53 = -5*i. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 2 = 4*r, 5*r = -n + 3*n - 4. Suppose -4*z - 17 - 3 = 0. Sort -4, r, z in decreasing order.\nAnswer: r, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-901)\/(-357) - -4*(-8)\/12\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2474 - 2473.974283. Round z to 4 decimal places.\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0.03, 0.2, -1, -14, -1\/4, 6\/25?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -866 - 644?\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 387797.1us to seconds.\nAnswer: 0.3877971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2634*j + 2645*j - 440. What is the smallest common multiple of j and 54?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xgcxgqxccxbgcgqc. Give prob of picking 1 b and 1 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 5*a = 14, 15*q - 16*q - a = -6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 341 - 184. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/2 + 9*t**2 - 255*t\/2 + 117.\nAnswer: 3*(t - 6)*(t - 1)*(t + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19 - 0. Let j = 22 + y. What is the second derivative of 3*q**j + 4*q**3 + 0*q**3 + 4*q wrt q?\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + o = -14 + 9, 0 = -5*o - 25. Let h(k) be the second derivative of -1\/12*k**4 + 30*k + 0 + w*k**2 + 0*k**3. Let f(n) = -46*n**2. What is h(f(t))?\nAnswer: -2116*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.74 + -2.8. Let z = 15 + -11. Which is the smallest value? (a) f (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 - -33)*(-80)\/(-6). Suppose 7*j = 2*j + q. Suppose 5*s - 11*s + j = 0. Calculate the remainder when 30 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 212*r - 209*r - 53 = 0, 3*j = -3*r + 45. Solve -5 = z + w, j = -2*z + 4*w + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16 + 14 + 2*s - 8*s**3 - 2*s.\nAnswer: -8*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.26 (b) 0 (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the third derivative of -205*f**8\/84 - 11*f**4\/12 - f**3\/3 + 735*f**2. Find the second derivative of a(s) wrt s.\nAnswer: -16400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 5*a - 35, 3*a + 16 = 3*x - a. Let r(q) = -q**2 - q + 24. Let d be r(0). Calculate the greatest common factor of d and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 8 - 2 = -2*w, -3*b + 3*w + 9 = 0. What is the nearest to -1 in -1\/7, b, 0.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54 + -12)*520\/(-208)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence elx when three letters picked without replacement from {x: 1, d: 1, e: 1, c: 1, l: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -0*j + j + 11, -2*u = -5*j + 11. Let k be (8\/u)\/((-4)\/66). Calculate the greatest common factor of 220 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*i - 3*i + 4*i + i + 0*i + i + (4 + 1 - 4)*(2 - i - 2))*(256 + 2*i + 303 - 740) in the form r + n*i + f*i**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2000)\/1200)\/(3\/3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) -372 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 25 = 5*w, -2*c + 6 = 3*w - 2. Let i be (32\/w)\/((-38)\/(-57)). Suppose -i*l = -4*l, 3*g - 9 = 3*l. Solve 0 = -t - g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -3.6. Let a = -1382903\/11550 - -29\/1650. Let f = a - -120. What is the closest to f in -5, t, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 494700634 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 398, -2092, -4580, -7066, -9550, -12032?\n\"Answer: v**2 - 2493*v + 2890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -13*t**2 - 2000*t + 283. Give x(-154).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 88\/(-6)*(-3)\/2. Suppose -3*x - p = -5*x. Factor -x*b**2 - 44*b**4 + 3*b**2 + 56*b**3 - 54*b**4.\nAnswer: -2*b**2*(7*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 135094 (base 11) to base 13.\nAnswer: 754b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 37073.26421 rounded to the nearest ten?\nAnswer: 37070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 570371 + -570245.6898. Let d = v - 124.31. Let r = -1 + d. What is r rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 5.2033545 and 0.518474.\nAnswer: 5.7218285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2 - 48*a - 105. Calculate q(-21).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 480924 - 2*n**2 - 480943 + 4*n**2 + 2*n**2 + 11*n - 2*n**2. Let y = -28 + 17. Let g(f) = -f**2 - 6*f + 10. Calculate y*g(v) - 6*w(v).\nAnswer: -v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply -233 and -1.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*q**0*q)*q)**(-8)*q**(2\/13)\/(((q**(-2\/7)*q)\/q)\/q)*(q**(-1\/3)*q*q)**(4\/7)*(q\/((q\/(q*q\/(q**(-4)*q)))\/q))\/q*q**(-1\/7) assuming q is positive.\nAnswer: q**(1979\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.03825 + 0.0372. Round q to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -224, -646, -1068, -1490, -1912?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - h - 15, 5*h = 2*t + 25. Which is greater: 14\/41 or t?\nAnswer: 14\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((2*sqrt(120))\/sqrt(6))\/(sqrt(36)\/(sqrt(27)\/sqrt(3))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -9*x**2 - 61*x - 78*x**2 + 61*x in the form u*x**2 + v*x + i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 30702506 greater than 30702506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1278 and 1562?\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -506121 (base 7) in base 12?\nAnswer: -41a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -75, 1, 2\/13.\nAnswer: -75, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*j + 19*j + 3895 = -16*j. Calculate the greatest common factor of 410 and j.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22047454 and 1573?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q\/(q**(2\/93)*q*q))\/q*q*q*q\/((q**23*q)\/q)*(q**(3\/14)\/q)\/(q*q*q\/((q\/(q*q**(3\/2)))\/q)))**(-21) assuming q is positive.\nAnswer: q**(17777\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10636 is divided by 1769?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d\/((d**(2\/11)*d*d*d*d)\/d))\/d*d*d**(-11))\/((d\/(d*d\/d**24))\/(((d\/(d\/(d\/d**(-36))))\/d)\/d*d)) assuming d is positive.\nAnswer: d**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 23*h = 0, 0*t = -3*t + h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y**3 + 5*y**2 + 5*y. Let k be (2 - 3\/(-2))*2. Let o(w) = -w**2 - k*w**2 + 2*w**3 - 4*w + 4*w**2. Determine -4*i(x) - 5*o(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j + 39. Let y(z) = -2*z + 39. Determine -6*l(u) + 5*y(u).\nAnswer: 2*u - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1084784617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4528461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**3 + 9*w**2 + 11*w - 16. Let v(b) = 1. Let i(f) = -p(f) - v(f). Let a be i(10). Solve 0 = -0*s + a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/2055600 and 181\/4796400.\nAnswer: 14389200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q + 91. Let n be z(-14). Suppose -3*r = -r + 5*f - n, 0 = -4*r + 2*f + 142. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -517 + -164?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) 339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 851*u*w**3 + 31*u*w**2 + 262*u + 2 wrt w.\nAnswer: 2553*u*w**2 + 62*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by 58993.\nAnswer: 7\/58993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2\/7 + 960*q\/7 + 94392\/7.\nAnswer: 2*(q + 138)*(q + 342)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(102)\/(sqrt(18)\/sqrt(150)))\/(-6*sqrt(32)\/sqrt(4)).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -28 divided by -1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/19? (a) -2 (b) 0.9 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the first derivative of 5*y**4\/24 - y**3\/3 + y**2\/2 - 1. Let b(d) be the second derivative of r(d). What is the least common multiple of b(4) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 103\/90 and -52\/1215.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3 and 5947702.\nAnswer: 5947702.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001386 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1185, 1183, 1181, 1179, 1177, 1175?\n\"Answer: -2*l + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmkisminkiniiik. Give prob of picking 1 n, 1 s, and 2 i.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -34.51 - -32.31. Which is the closest to 4? (a) 4 (b) 2\/7 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6.6 - 5. Let u = b + -1.41. Let k = u - 0.18991. Round k to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1557704 or 1557702?\nAnswer: 1557704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 7124925 divided by 25\nAnswer: 284997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3296, 4996, 6706, 8432, 10180, 11956, 13766?\nAnswer: 15616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 77476315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -169\/21287850 and 5\/10286?\nAnswer: 787650450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (((-1*sqrt(432))**2 - sqrt(432))*-4*4 + 2)*6.\nAnswer: -41457 + 1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*y - 4*k - 1, 2*y + 3*k = 10. Let r = 13 - 11. Suppose w - 8 = -r*o, w + o - 4*o = -y. What is the highest common factor of w and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 4*s**2 - 2. Let f be w(-1). Suppose x - f = -1. What is the highest common factor of 3 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + -1 - 129684\/8484?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 - -101001100010000?\nAnswer: 101001100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of -o**4\/24 - o**3 + o**2\/2 - o. Let w(x) be the first derivative of q(x). Let k be -10 + 2 + (9 - 7). Calculate w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -48\/28681 and -16\/129.\nAnswer: 86043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -20 + 1131021?\nAnswer: 1131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (7 - (-3 - (5 - 1 - 6)) - 21) + -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/6 + (-3 - 0). Let x be ((-95)\/(-60) - 1)*11*v. Let t = x + 1777\/138. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -4\/95?\nAnswer: -4\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -2*k**3 + 25*k**2 - 11*k + 9. Suppose -2*a - 56*n = -58*n - 38, 4*n = -28. Give u(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -31*g + 162. Let o be p(-10). Let y = 496 - o. Calculate the smallest common multiple of y and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(847) - (1 + sqrt(847) + -2))**2 + sqrt(847) - -2*(-1 + sqrt(847)))*1 - -5*((1 + sqrt(847))*5 - (sqrt(847) + 1)*-3).\nAnswer: 39 + 473*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 798 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7206 + 10321. List the prime factors of a.\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 12*h**3 - h**2 - 2. Let b(l) = 48*l**3 - 5*l**2 - 9. Determine 2*b(d) - 9*v(d).\nAnswer: -12*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 284092 divided by -56?\nAnswer: -71023\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from {g: 3, n: 7, h: 1, t: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -47\/15 - -14\/5. Let b = 309 + -309.4. What is the closest to 13 in x, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/((-308)\/(-416)) + (620\/70 - 9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 112.7109 millimeters?\nAnswer: 0.1127109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -6*p + 30. Let i be x(3). Let m be (-1)\/4 - (-11)\/i. Which is the closest to m? (a) 1\/4 (b) 0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = h + 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -19 * 0.0019\nAnswer: -0.0361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - l**2 + 840*l + 4177. Calculate a(-5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 133936 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: Collect the terms in -59*t**2 - 5*t - 3*t**3 + 30*t**2 - 47*t**2.\nAnswer: -3*t**3 - 76*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -14 + -32.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + 7. Let f(r) = 15*r + 11 - 15 - r**m + 34. What is the units digit of f(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 15, 52, 105, 168, 235, 300?\n\"Answer: -x**3 + 14*x**2 + 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5.91 + 0.09. Let y = 8 - w. Put y, 1\/4, -2 in ascending order.\nAnswer: -2, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -15 and 80.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 + -2. Let y = c + 8. List the prime factors of (2\/4)\/(y\/(-130)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(51)\/sqrt(3) + sqrt(833) + -1 + sqrt(833))*-2)**2.\nAnswer: -120*sqrt(17) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(44)\/sqrt(4) + -1).\nAnswer: -4*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 9*n**2 + 12*n + 3. Let b(q) = -4*q**2 - 4*q - 1. Let r(l) = 3*b(l) + p(l). Suppose d + 54 = 4*d. Let s(c) = d*c + 7*c - 8*c. What is s(r(h))?\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 5*b**2 + 2*b - 1. Give u(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 12627 (base 12) in base 2?\nAnswer: 110000111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((((-390112)\/(-1503))\/(-146))\/((-16)\/3))\/(130\/(-12))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.02351 + 2.97649. What is the biggest value in -7\/38, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2 + 5*h - 3. Let w be z(-6). Let s be ((-3)\/2 - -3)*2. Find the second derivative of 3*q**s + 3*q**3 - q - 5*q**w wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-64)\/(-14) - (-9 + (-25)\/((-525)\/294))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 876261 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3*t. Let k be (-3)\/(-6)*1*-6. Let g be (-1 + 1)\/(1\/1 + k). Let m be r(g). Solve -6 = -f - m*o + 3*o, -4*f + o = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l + 3*l = -k - 33, 5*l = -4*k + 18. Suppose -2*q - 2*o = l, -5*q - o + 5*o = -30. Calculate the common denominator of 31\/6 and (-101)\/q*3\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1058?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20.86 - 24. Let x = -3.14195 - u. What is x rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, a: 2, m: 2}. What is prob of sequence asam?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2 + 3495*c + 541979. Give x(-172).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 8*o + 134. Determine a(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49\/(-35) - 14559\/3165.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -38.56.\nAnswer: 154.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -34 - -32. Let w be u\/(-5 - (2 + -6)). Solve -19 = 5*v - w*a, 4*v - 5*v = -a + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 42047144 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n - 7. Let k be d(6). Let h be 18\/(-243) - (-168)\/81. Let p be h*((1 - k) + 6). Solve 10 = p*l + 3*s, -3*s - s = 4*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -3*s - 260, v + 236 = 3*v + 3*s. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/126 and 33\/2590.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 3*s**3 - 9 + 12.\nAnswer: -3*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k + 132. Let x(h) = 248459*h. What is x(w(y))?\nAnswer: -248459*y + 32796588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2186988 and 73036.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 + 5*r + 2. Calculate the least common multiple of 8 and h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 + 4*n + 1. Let a be w(3). Suppose -f = -r + 6, 5*r + 17 - 46 = a*f. Suppose 4*m - 45 - 45 = -o, r*o = -3*m + 416. Is o a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, h: 2, y: 1, z: 2, t: 1}. Give prob of sequence yh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -98100000 rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/85 and -89\/150.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve x - 153*v = -158*v - 18, -3*x = -3*v - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-3) - (3350\/(-15))\/5. Suppose -65 = -5*d - l. Solve 0*m + 13 = 5*n + m, -n + 14 = d*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + (5*(sqrt(1000) + sqrt(40)) - sqrt(40) - sqrt(40))\/(sqrt(512)*1) + -3)*3)**2.\nAnswer: 126*sqrt(5) + 2349\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -303411 - 1504*x + 303411 - 2*x + 2*x + 2*x - 4 + 4 - 2*x + (2*x + 3*x - 3*x)*(7 - 2 - 3) + x - 2*x - 2*x + (-x - 2 + 2)*(-1 + 0 + 0) + x - 4*x + 5*x.\nAnswer: -1500*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 18*n**2 - 21*n + 72. Let q be p(17). What is the remainder when 310 is divided by q\/3*(-7 + 212\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 + 0 = -3*a. Let i(z) = 3*z - a*z + 9*z + 14*z. Let l(s) = 3*s. Calculate l(i(g)).\nAnswer: 57*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1 + -5 - (77 + (-76 - -12))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add 317 and -58.3.\nAnswer: 258.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence you when three letters picked without replacement from oguuupyuyggyugoy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 566999 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -18.21 less than -1.1?\nAnswer: 17.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13192\/300 + (-238)\/(-8925)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41472 is divided by 1095?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*r - 38*r = 19920. Round r to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*sqrt(11)*4 + 5*(3 + sqrt(1584)))**2.\nAnswer: 360*sqrt(11) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjjjjzjjjj. Give prob of sequence jz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -6*z**3 - z**2. Let q be d(-1). Suppose -q*p = l + 8, -l - 3 = -3*p + l. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -17\/110 + -3\/110. Which is the nearest to -4? (a) -2\/9 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1b - -78a0?\nAnswer: 78bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 658?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/98049 and 32\/1421?\nAnswer: 98049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5502472?\nAnswer: 2, 687809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8421878 is divided by 677?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 4\/9, -0.07, 1\/11, -0.7, 115?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3362393\/880 - -19103\/5. Let y = a + 4\/11. Let k = y + 7\/16. Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.034108 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34321.\nAnswer: 7, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 3*d = 165, 5*i - 240 = -0*d + 3*d. Calculate the remainder when i is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 427, 2240, 6825, 15568, 29855, 51072?\n\"Answer: 231*c**3 + 196*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be -5 - (-2 + 0) - (0 - 3). Solve 2*i + 8 - 2 = s, 2*n + i = -11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**3 - 13*h**2 + 40*h + 11. What is q(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, 7, -4, -52, 4, -1\/5 in descending order.\nAnswer: 7, 4, 1\/8, -1\/5, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 8*n. Let y(d) = 0*d - 21*d**2 + 23*d**2 + 0*d. Calculate m(y(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 84981371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: 6631641 divided by 2\nAnswer: 6631641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f = 36 - 4. Suppose -f*u = 3*z - 356, 5*z + 137 = 2*u - 41. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*w - 11*w = -15*w + 60 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 18586440 divided by -6120?\nAnswer: -3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -56.9149 rounded to one decimal place?\nAnswer: -56.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.7 + 28.3. Let d = v - 30.4. Let k = 1.644 + d. Round k to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 - g + 2. Let j(u) = -u. Let d be 5 - (2 - 5 - -11) - -2. What is d*j(p) - a(p)?\nAnswer: p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5.12 - 5. Let j = a - 11.12. Let g = j - -7. What is the smallest value in g, 3, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 839.3928 nanometers in micrometers?\nAnswer: 0.8393928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -3 (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 3 + sqrt(17) - (sqrt(17) + -2)*4) + (sqrt(1700)*-3 - (sqrt(136)\/(-5*sqrt(8)))**2).\nAnswer: -33*sqrt(17) + 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 18 = -3*g, 4*x - 3*x = 2*g + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, 15049\/7, -4, -2\/49 in ascending order.\nAnswer: -4, -2\/5, -2\/49, 15049\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 47 - 30. Suppose -25 = -5*r, -2*r - t = -g + 33. Suppose -l = 4*i - 89, -2*l = -54*i + 55*i - 31. What is the remainder when g is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 4*p + 10. Let w be 12*(-824)\/(-36) + p\/6. Suppose 575 = 4*q - k, 2*q + 4*k - 7*k = w. Round q to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -40, -19, -5, 17, 0, 1, 6 in increasing order.\nAnswer: -40, -19, -5, 0, 1, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.0271017 kilometers?\nAnswer: 2710.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -5*i**5 + 378570*i**4 - 378555*i**3 - 757130*i**2 = 0. Calculate i.\nAnswer: -1, 0, 2, 75713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.5 - -2.5. Let q(i) = i**3 - i**2 - 53*i + 15. Let j be q(-7). Put -5, m, j in increasing order.\nAnswer: j, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/((-11)\/(33\/6)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*z**2 + z**2 + 0*z**2 + 1 - 1 + z**2 - 14*z**2 - 28*z**2 - 31*z**2 + (-3*z + 6*z - z)*(2*z + 3*z - 3*z).\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/66 and 7\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.055 - 0.145. Let i = -2778604 + 2778606.2000044. Let x = i + n. Round x to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -2*n**2 - 169*n + 135. What are the prime factors of y(-75)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**3 + 3*s**2 - 3*s - 2. Suppose -12 = -0*t - 3*t + 5*a, -15 = -t - 2*a. Suppose c + t = 5. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 540336103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1))**(-9))**(-20)*(((i*i**(-2\/7))\/i)**(6\/5))**(-32\/3) assuming i is positive.\nAnswer: i**(-6172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -43 divided by 17971\nAnswer: -43\/17971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27389661.\nAnswer: 3, 13, 89, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x + 8 = -5*x + n, -3*n = -3*x + 6. Let q(l) = 2*l**2 + 7*l - 2. Let b(r) = 6*r**2 + 22*r - 7. Give x*b(p) - 7*q(p).\nAnswer: -2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*r**2 - 36*r**2 - 2*r**2 + 3*r**2 + 2*r**2 + 34*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59354557?\nAnswer: 59354557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3*j**3 - 4*j**3 - j**3 + (5*j + 0*j - 3*j)*(-2*j**2 + 2*j**2 - j**2).\nAnswer: -4*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h**2 + 4*h - 4*h)*(-2*h**2 + h - h) - 11*h**4 - 44*h**4 + 36*h**4 - 149*h**4 to a*h**3 + c + n*h**2 + s*h**4 + t*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 41, -3, -1 in increasing order.\nAnswer: -3, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1324 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 72 and 982416?\nAnswer: 2947248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 185.174 decades?\nAnswer: 18.5174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/4 + 3\/6. Let r = 2 + w. Solve -9 = -b - r*q, -b - 2*b - 2*q + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17392178?\nAnswer: 2, 31, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 73 - 14977 = -25*m - 90*m - 69*m for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a*l**2*q**2 - a*l*q**2 - 1700*a*l*q*y + 2*a*q**3*y - 2*a*q*y - 45645797*l**2*q**3*y - 9*l**2*q**2*y - 15*l**2*q*y + 2 wrt q.\nAnswer: 12*a*y - 273874782*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -252 + 255. Suppose y*c + 2*c - 10 = -3*n, -3*n - 15 = 0. Let d(v) be the third derivative of v**5\/60 - v**4\/6 - v**3\/3 - v**2. Calculate d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17302368893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o = 6*o. Suppose 2*n + 0*n - 22 = o. Calculate the remainder when 19 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -45 + 2583\/58. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 238 = j + 236, -j + 4 = -4*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of 13\/6*s**2 - 1\/9*s**3 - 4*s + 20. Let v(i) = 0. What is i?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r such that 45*r**3 - 11105*r**2 + 8600*r + 2460 = 0.\nAnswer: -2\/9, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 1 - 1)*(-2 + 2 - 2) + (-1 + 1 + 1)*(9 - 6 - 21))*(-5 - 1 + 1)*(29*k + 127*k + 27*k)*(2*k**3 - 1 + 1).\nAnswer: 40260*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 632 and 7692072.\nAnswer: 7692072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1534? (a) 0.13 (b) 32 (c) -1\/8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**(1\/14))\/i*i*i*i*i*i*i*(i\/(i\/i**(2\/15)))\/i)\/(i**(-2))**(-1\/4) assuming i is positive.\nAnswer: i**(494\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9 - (3\/((-12)\/(-4)) + -2). Find the first derivative of t + 16*x**3 - 4*x**3 - 11 - 6 wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*g**4*s - 123184*g**3*s + 21*g**2*s + 22658*g*s + 321*s wrt g?\nAnswer: -24*g**2*s - 739104*g*s + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/52480 and 181\/826560.\nAnswer: 3306240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -569.9 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -2*f + 425. Let d(x) = 9896415 - 9896415 + 7*x**2. Determine d(h(g)).\nAnswer: 28*g**2 - 11900*g + 1264375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 90595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the first derivative of -1\/2*w**2 - 1\/6*w**4 - 2 + 0*w**3 + 0*w. Let j(y) be the second derivative of t(y). Let b(f) = 2*f. Calculate j(b(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10? (a) -1 (b) -2\/7 (c) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 5*p + 6. Let b(y) = 6*y + 6. Let f(t) = 5*a(t) - 4*b(t). Let j be f(-8). Let o = 18 + j. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -27, -5, 19, -4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-423)\/(-33) + (-2)\/(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = t. Let y be (-2)\/24*(2 + t). Let n be (-52)\/78 - 8\/6. Which is the third biggest value? (a) n (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12108835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 7.85623 to 2 decimal places.\nAnswer: 7.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -269*g = -261*g - 48 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 15\/(3 - 0) + 0 + 2. Suppose r*g - 69 = -13. Let x = -3 + g. Solve -3 = -5*l + 4*q + 2, x*l + 5*q = 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 136499 - p - 136499 - 13*p**3 in the form s*p**3 + n + w*p**2 + o*p and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + sqrt(5) + sqrt(5))*-6 + (sqrt(5) - (sqrt(60)\/sqrt(4))\/sqrt(3)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -17, -4, 75, 2, -790 in increasing order.\nAnswer: -790, -17, -4, 2, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 22456816 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, 4, -41339426 in ascending order.\nAnswer: -41339426, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 h when four letters picked without replacement from thtytyhthhthtkkhktth?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:19 PM and 9:46 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 3 (c) -1.7 (d) -3 (e) 69 (f) -4 (g) 1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -450.52 * 37.\nAnswer: -16669.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j. Let u(c) = -2*c**2 + c. Let t(h) = -h**2 - h. Let w be 3 - (-6)\/((-12)\/(-4)). Let i(d) = w*t(d) + 5*u(d). What is i(a(f))?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -8, 1, -5, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*s*x**2 - 23*s*x + s - 62247*x**2 - x - 17785102 with respect to x.\nAnswer: -6*s*x - 23*s - 124494*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -32 + 10 - 5*c + 16 as h*c + f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*x - 4*i = -164, 0 = -69501*x + 69503*x - 5*i + 37 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*n + 1863 = 23*n. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - i - 3*i + 32, -2*i = r - 10. Suppose -2*n = r + 4. Let a = 8 + n. Solve 2*k - a + 0 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 23 = -5*y + 1, y + 6 = -3*n. Let d = y - -17. Solve 3*r - 5*z = d, -3*r + 4 = z - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36147 is divided by 977?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6119340, -12238687, -18358034, -24477381, -30596728?\n\"Answer: -6119347*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51 - -85. Let a = 17 - 12. Suppose a*t = 2*t + 51. Calculate the highest common divisor of t and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w + 14. Let a be l(14). Suppose -2*y - 3*n + 89 - 37 = a, 3*n - 29 = -y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -9.1, -1\/7, 27?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**3 + 8*w**2 + 16*w + 2. Let x(a) = a**2 + a + 1. Let h(t) = -6*x(t) + y(t). Is h(4) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23530?\nAnswer: 2, 5, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 6*v**2 - 16*v + 10. Let u be m(10). Let s be 21\/28 + u\/8. Let x = -24 + s. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -602.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -39*b**2 + 6*b**2 + 32*b**2. Let l(v) = -2560*v. What is m(l(g))?\nAnswer: -6553600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 1016*k = -21*f + 1019*k - 93, 0 = 3*f - 3*k + 75 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4395?\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 + 1 - 11328*y - 29326*y + 10476*y.\nAnswer: -30178*y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -392, -1582, -3560, -6320, -9856, -14162?\nAnswer: -19232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -207 by -3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -19*h - 4*h - 3059. Suppose 4*j = -137 - 95. Let b = j - h. Calculate the highest common factor of 30 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 969, 952, 925, 888?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*f - 2*f - 2*f)*(-461 - 478 - 33).\nAnswer: -1944*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 e, and 1 r when three letters picked without replacement from {r: 3, k: 1, e: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 4558 greater than or equal to 4569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**2. Let u(i) = -62*i + 3. What is u(g(l))?\nAnswer: -62*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 2*m - 195. Is ((-586)\/5)\/(26\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 334423433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -362, -691, -1008, -1313, -1606?\nAnswer: -1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -244 + 248. Suppose 5*x + 41 = 3*r, -4*r + 40 = -r - k*x. Solve n - 6*n + 2*c = 13, 5*n - 3*c + r = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 - -45. Suppose -m = -3*k + 29. Solve -k = -5*v + 4*h, -5*h = 14 + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -3 (b) 3\/11 (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -15*o**2 + 4. Let w(q) = 30*q**2 - 7. What is 7*h(a) + 4*w(a)?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 842.584 decades in millennia?\nAnswer: 8.42584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 121*-1 + 0 + 0. Let y = 7701 - 7821. Let u = y - n. Sort -2, 3, u, -1 in increasing order.\nAnswer: -2, -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**2 + 5*u - 4. Let f be o(3). Suppose -58 = -6*t + 26. Let h = f + t. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of 2*s**2 - 1 + s - 1\/3*s**3. Let u be r(5). Sort -5, 2, u in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 89869 and 41924.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 110122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 2 + (2 + 2 - 5)*(-2 - 1 + 5) - 5 + 5 + 4 + (1 + 1 + 0)*(-20 + 8 + 16))*(2*m**2 - 3*m**2 + 2*m**2).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14931438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -2*i**2 + 3*i + 8. Let f(b) = b**2 - b - 4. Let h(l) = -2*d(l) - 5*f(l). Suppose -z + 6 = m + 1, 0 = -4*z + 20. Calculate h(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 57\/(-114)*(-5)\/30\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7404\/(-3085))\/((-308)\/10 + -2)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 864.7 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (13 + 2 + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*i - 51 = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -67 - -99. Let y = t - 16. Let r = y - -10. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 314020812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 15, 4*c - 7 = -4*t + c. Suppose t*x - o - 214 = 0, -3*o + 0*o = -x + 59. Suppose -2*k = -k - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-194*b**2 + 194*b**2 + 99*b**3)*(4*b + 3*b - 6*b)*(-10 - 13 - 17) + (b + 0*b + b)*(4*b**2 - 2*b**3 - 4*b**2).\nAnswer: -3964*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 49466600 by 17.\nAnswer: 2909800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 294 + 2221. Suppose 5*x = d + 2920. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4851157 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -1734*m + 12167. Calculate the remainder when 3955 is divided by f(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2286 and 630?\nAnswer: 80010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 116\/261*(65\/(-70))\/13.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -100*i + 3519. Determine u(35).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3*g**2 + 4*g - 4. Let y(n) = 56*n**2 + 77*n - 77. Let s(w) be the first derivative of 3*w**2\/2 + 194*w - 161. Let o be s(-39). Give o*h(d) - 4*y(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 9 and -61.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**3 - 9*h**2 + 12*h + 6. Determine o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 2*c - 30. Suppose -4*v = 3*k - c - 0, 2*k = -v. Suppose -2*q - x = -6789 + 1164, -v*q + 3*x = -11255. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one quarters of a year in months?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 7*t**2 + 2. Suppose -4*q + 5*s - 29 = 0, 121*q - 18 = 124*q - 3*s. What is u(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 399903224 a multiple of 2066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 8*p. Suppose -2*x = -2*k + 30, p = -4*k + 2*k + x + 35. Let b = 54 - k. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**2 + p + 4. Let j be k(0). Suppose 3*i = -a + 6*a - j, 0 = 4*i + a - 10. What is the units digit of ((i - 3)\/(-1))\/(1\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k = -k - t - 11, -2*t = 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.0219 + -3.6481. Let a = -1.43 - l. What is a rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9281525470?\nAnswer: 2, 5, 7, 41, 601, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 73005 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7252, 14502, 21748, 28990, 36228, 43462, 50692?\nAnswer: 57918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -17*z**5 - 63140*z**4 - 70515*z**3 + 118820*z**2 + 14852*z = 0.\nAnswer: -3713, -2, -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*w**2 - 59733 + 59733.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2752719 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6 + -5 + (-258)\/14. Let t = d - -18. Solve -t*f - 2*f**4 + 0 + 19\/7*f**3 + 3\/7*f**5 - 4\/7*f**2 = 0 for f.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 96 - 44. Suppose -78926*d + 3780 = -78911*d. What is the remainder when d is divided by j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3442, 5 in ascending order.\nAnswer: 0, 5, 3442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 c, 1 z, and 1 k when four letters picked without replacement from cdcdmmmznzkddczmddz?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:08 PM and 4:30 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -4*w**2 + 12*w - 19. Calculate j(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 6, n: 12}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -568235043*a**5 - 141456109*a**2 wrt a?\nAnswer: -34094102580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -171308 - 100832 = -19*c + 362650. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -45*z**2 - 105*z + 341. Calculate h(3).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of 1\/20*m**5 + 0 + 3\/2*m**2 + 0*m**4 + 10*m - 1\/3*m**3. Give y(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 56075\/7 + -8011. What is the nearest to -13 in -3\/5, -4\/3, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1397*x - 1398*x - 1402*x + 4195*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert b (base 16) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 6 (c) 0.4 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -13*q**3 + 3*q**2 + 30 + 12*q**3 + 5*q**2 + 0*q**2 - 11*q. Let i be d(7). Solve -o + i*o + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 5*k - 9 - 16, -2*k - g = -11. Let c = k - -3. Suppose -2 = l - c. Solve l*v - 6*v - 10 = -2*b, v = 2*b - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7900149.\nAnswer: 3, 347, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000242 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3453957 decades in millennia?\nAnswer: 0.003453957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5920756544.\nAnswer: 2, 167, 553963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2.4? (a) -0.5 (b) -3\/4 (c) -4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one fifths of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 390991 is divided by 1299.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/((-16)\/20) + 0. Let d be x*-8*(-18)\/4. Suppose 0 = -2*j + 7*j + 3*p - d, -4*j - 5*p = -131. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 10 + 2. Let n = -376 + 381. Suppose -q + 2 = w + w, 10 = -n*q. Which is the third smallest value? (a) j (b) 3 (c) -0.4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 252972376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -20*p**2 - 85*p - 35. Let w(u) = -3*u**2 - 12*u - 5. Let y(o) = -2*i(o) + 15*w(o). Factor y(z).\nAnswer: -5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(17) + 2)**2 + 2.\nAnswer: -4*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 93 - 91. Solve -f*n - j = -0*n - 7, 23 = 4*n + 5*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1010*i**2 + 209*i**3 + 0 + 4221*i**2 + 0.\nAnswer: 209*i**3 + 3211*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 570 - 1126 = 5*q, -1019 = 3*q - 2*d. Let z = 775\/2 + q. What is the common denominator of -2 + (-14)\/(-24) + -1 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 372670215 by 1.\nAnswer: 372670215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 d, and 2 m when four letters picked without replacement from tdhthdmhhhmthddhdtt.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000475708 to 6 dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/2, -2, -4\/3, 6643 in decreasing order.\nAnswer: 6643, -4\/3, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 0. Which is bigger: 10\/9 or q?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 451.1935 hours in nanoseconds?\nAnswer: 1624296600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-442)\/(-119) - (-4)\/14. What is the first derivative of 1 - 5*g**4 - 8 + 0*g**w - 3 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 5, s: 3, j: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u**(3\/4)*u**(-12) assuming u is positive.\nAnswer: u**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = 3*f, -13*x = 3*f - 8*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -55181 or -55572?\nAnswer: -55181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = j + 2*t - 26, 2*j - 5*t = 37. Suppose -9*v + 7*v - j = 0. Sort v, -6, 5 in increasing order.\nAnswer: -6, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (-3 + 6 - (-6 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -485, 1177, 3983, 7927, 13003, 19205, 26527, 34963?\n\"Answer: -q**3 + 578*q**2 - 65*q - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -37*u. Calculate i(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1.08*-0.5\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5430110.\nAnswer: 2, 5, 7, 77573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.37 in -0.16, -0.02, 1\/6, 0.3, -4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m = m - 32. Differentiate 4*c**m - 4 + 16 + 9 wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/(-25))\/(184\/(-115))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*y**4\/5 - 36*y**2\/5 + 16*y\/5 + 48\/5.\nAnswer: 4*(y - 2)**2*(y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2001 - 1011020?\nAnswer: -1003013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**4 + u**3 + 1. Let b(d) = 62*d**4 - 14*d**3 - 18*d - 14. Let k(o) = 2*b(o) + 28*l(o). What is the second derivative of k(t) wrt t?\nAnswer: 1152*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/(h**(-1\/7)\/h)*h*(h\/(h\/h**(1\/2)))\/h)**(-1\/8)*((h\/(h\/(h*h*h*h**8)))\/(h*h**(-7)\/h*h))**48 assuming h is positive.\nAnswer: h**(91341\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 + 1 - 2*y - y + y. Let k be g(3). Suppose -k*o = -5*o + 127. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/468 and 61\/91.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -196731\/20 - -9842. Find the common denominator of -23\/356 and b.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q - 4*q - 2*q)*(2 - 3 + 2)*(3*q + 3*q - 2*q + (-3*q - q + 5*q)*(-1 + 2 + 0))*(-3 - 6 + 0).\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 93738 divided by -6\nAnswer: -15623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55 is divided by (10\/25)\/(7\/35) - -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 558 + -558.00523. What is x rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 0, -52.80261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1138146264 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 15 - 6*k - 7*k + 13*k - 22*k**3 wrt k?\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 915 - 651. Let s = -263.861 + r. Let c = s - -1.671. What is c rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -5*z - 2. Suppose -360 = -4*g - 2*o, -69 = -g + o + 27. Let y(k) = -g - k + 92. What is y(d(t))?\nAnswer: 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5583727 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 217 and 4991.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 551927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes before 3:08 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, 2, -44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/23, -3, 5, -0.1, -4\/3 in increasing order.\nAnswer: -3, -4\/3, -0.1, 5\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*o = 4*d + 3*o - 3, -5*d - 4*o - 105306 = -105302 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 46 = 5*j. Suppose -d - j = 13. List the prime factors of 8\/d + (-1248)\/(-27).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 251738 divided by -27?\nAnswer: -251738\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 3*y = 2*y - 16, -3*t = 4*y - 5. Find the second derivative of 344*p + 34*p**2 - 31*p**2 - 290*p - 12*p**t wrt p.\nAnswer: -72*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3087 and 30211538?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -29, -4.5, -15, 1.22 in increasing order.\nAnswer: -29, -15, -4.5, -0.1, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, -74, -391, -1012, -2039, -3574?\nAnswer: -5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -c*i**5 + 3*c*i**2 - 40*c*i + i**5 - i**3 + 2*i wrt i?\nAnswer: -60*c*i**2 + 60*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 757*i - 5143*i + 1564*i**2 - 4091*i.\nAnswer: 1564*i**2 - 8477*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2150 is divided by 160?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 38187615, 76375236, 114562857, 152750478, 190938099, 229125720?\nAnswer: 267313341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56885 and 2015.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2808.284 weeks?\nAnswer: 1698450163.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-5)*x*x**(1\/8)*(x**1)**(1\/8) assuming x is positive.\nAnswer: x**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 3*v**3 + 2*v**2 - 3*v. Suppose -10*o + 50 = o + 17. Let f(z) = 4*z**3 + 2*z**2 - 2*z. Give o*f(h) - 2*b(h).\nAnswer: 6*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-88)\/48 + (-2)\/12. Let c be (1 - i) + -5 + 1. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i - 144 - 280 + i.\nAnswer: 2*i - 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of -9*j**4\/4 + 2*j**3\/3 + 5*j**2\/2 + 4*j - 2658. Let c(t) = -19*t**3 + 5*t**2 + 11*t + 9. Give -2*c(s) + 5*k(s).\nAnswer: -7*s**3 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/94 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4 - (-45 + (7 - 4)). Factor -p*d**3 + 0*d**5 - 8 - 33*d + 243*d**4 - 255*d**4 - d**5 - 52*d**2.\nAnswer: -(d + 1)**4*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, 2, 3, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 365212479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*g**4 - g**3*n + 9437*g**2 - 6*g*n + 6160*g - 11*n wrt g.\nAnswer: 48*g**2 - 6*g*n + 18874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 31067.11? (a) 0 (b) -3 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-598)\/(-5) - (-18)\/45. Let y be -3*-4*(-2)\/(-3). Calculate the greatest common factor of x and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4820? (a) -1\/6 (b) -1\/11 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 190470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/(-40) - 2\/8. Let t = -325 + 320. Let h = 2.02 - 0.02. Sort t, y, h in ascending order.\nAnswer: t, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -247, -499, -751, -1003?\n\"Answer: -252*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7.2? (a) -39 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*p - 144112 = -4*h - 19*p, 0 = 2*h - 11*p - 72056. What are the prime factors of h?\nAnswer: 2, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v - 3. Let i be t(-5). Let s be i\/9 + 6\/(-27). Let x = -8 - -13. Solve -6*l + x*l = s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -11*v - 18. Let l be -2 - (2 - 3 - 33). Let o = l + 70. What is the remainder when o is divided by z(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (336\/(-392)*77\/(-33))\/(1*(-3)\/33).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 23 in 0.4, 2, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -50 - -78. Suppose -o - 8 = -s. What is the smallest common multiple of 14 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 4 = 4*i, -m + 2*i = -3*i + 5. Let u be 0\/(4\/(-2) + m). Let a = 3 - u. Solve a*b + 3 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d - 27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 645, 1197, 1685, 2115, 2493, 2825, 3117?\n\"Answer: u**3 - 38*u**2 + 659*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -2001.81 and 840.\nAnswer: -1681520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3*g**2 + g - 8. Let q be h(-10). Let u(a) = -a + 7. Let x be u(0). Suppose 5*f + q = x*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -7*s + 4*s + 2*j, 8 = -2*s + 4*j. Suppose -5*z - 17 = -s*g, 0 = 3*g + g + 4*z - 44. Solve 0*b = -2*b + g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k - 2. Let v be i(2). Suppose l + 2*l - 3 = 0. Let u(z) = 4*z**3 + z**2 - 1. Let x be u(l). Solve 2*w - 4*w + x = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -22302023 - -10100?\nAnswer: -22231323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 8239.8644 to 0 dps.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*r - 5580 = 19*r + 16*r. Sort 0, 10, r.\nAnswer: 0, 10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1572581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r**3 + 3*r**2 + 2*r. Let q be (0 - 10\/(-8))*4. Suppose -7*m - 30 = -2*m - q*x, -6 = -m - 2*x. What is g(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 70.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4574 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 1137*w**2 + 7*w - 21. Let i be c(4). Let p = i - 12828. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x**3 + 57*x + x**3 + 40*x**2 - 73 - 14*x. Let c be f(41). Solve -3*l = j + 16, 0 = c*l - 4*l + 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 1888*s + 5. Let k(o) = 9*o**2 - 63*o. Determine k(b(p)).\nAnswer: 32080896*p**2 + 50976*p - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzzzzzoozozzzz. What is prob of picking 1 z and 3 o?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*h - 4*h - 4*h - 6*h - 82.\nAnswer: -2*h - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**2 - 5*d + 114. Calculate b(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 6. Let i = h + -1. Let u = -18 + 13. Which is the closest to 0? (a) 3 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004982649 to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 14137245, 14137260, 14137285, 14137326, 14137389, 14137480, 14137605?\n\"Answer: t**3 - t**2 + 11*t + 14137234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 29.7135 times -0.2\nAnswer: -5.9427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -1\/15, 10, -1\/2, 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19884091?\nAnswer: 733, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 10538060 by 6.\nAnswer: 5269030\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 9:33 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 2286.45 micrograms to nanograms.\nAnswer: 2286450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m - 42 - 25*m**2 - 2*m + 118*m**3 + 2*m + 0*m.\nAnswer: 118*m**3 - 25*m**2 + m - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 - 23. Let m be (84\/(-70))\/(3\/k). Let b = -8 + 11. Solve m*j - b*v - 3 = 7, -4*j = 4*v - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5452 + 25?\nAnswer: 5521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 148730 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(3\/14)*i*i*i*i\/(i*i\/i**21)*i)**(-34) assuming i is positive.\nAnswer: i**(-5763\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 57*y - 2255. Let s be b(40). Sort 5, s, 14 in descending order.\nAnswer: s, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2961784g in milligrams?\nAnswer: 296.1784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10 - (19 + -8)) + -120 + 10.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 25*y**2. Let c(m) = -24*m**2 - 15*m**2 + 90 - 14*m**2 + 50*m**2 - 94. Determine c(h(l)).\nAnswer: -1875*l**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p**(-19)\/p)\/p)*p\/(p*p*(p*p**9)\/p*p)*(p\/p**(-2))\/(p\/(p\/((p\/(p\/((p*p**14)\/p)))\/p))*p))**(-24\/11) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 147*p**5 - 25305*p**4 + 1090725*p**3 - 138315*p**2 - 727560*p - 199692 = 0.\nAnswer: -3\/7, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*n - 4*n + 3*n**2 + (-1 - n**2 + 1)*(1 + 0 + 0)*(2 + 0 + 0).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -884*p + 879*p = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -69*j - 316.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -4*s - 3, -3*l - 2*s + 8 = 15. Let v be 8\/16*(9 + l). Solve 2*f + 6 = j - 5*j, 0 = v*f - 2*j - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 169*n**2 + 8*n + 8. List the prime factors of z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -746*p + 1498*p + 4*p**3 - 752*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10934)\/(-9940))\/(2\/(660\/3)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 - 7*v**2 - 9*v - 7. Determine r(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**2 + h - 10. Let t be j(-9). Suppose 4*a - t - 98 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y**2\/5 + 206152996*y\/5 + 10624764439944004\/5 = 0. What is y?\nAnswer: -103076498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 3*m**3 - 3*m**2 - m. Let t be c(2). Suppose -p = -4*j + 148, 5*j = 5*p - 0*p + 740. Is 13 a factor of (-6)\/t + p\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000022372 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10096 - -50476\/5. What is the smallest value in -3, 11, -2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 277 = 5462*w - 5430*w - 203 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - 18*u**2 + 71*u - 64. Calculate r(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 3*v + 8 + 19 = 0, -5 = -5*v. Let a = -2 - p. Is 4 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 56*j**2 - 650*j + 484. Give i(11).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*a = -17*a + 1144. Calculate the remainder when a\/(-6) - (-16)\/(-48) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (5 + (-8876)\/1600)\/((-12)\/(-135)) - -6 and -5\/24.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - o + 5 = 0, -3*z + 3*o - 5*o = -12. Suppose -4*q + 28 + 39 = -l, z*q + 3*l = 37. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-21)\/(-42) - (-10)\/4. Suppose 32 = -b*y + n, -69 - 7 = 5*y + 4*n. List the prime factors of 147\/y*(-14 - 6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, i: 2, p: 2, r: 1, k: 1, q: 1}. What is prob of picking 1 k and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -238.878 + 238. Round l to two decimal places.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (88\/(-11))\/((-12)\/9). Solve -i*p + 26 = 3*h - 2*p, -1 = -3*h + p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 6, i: 1, h: 2, k: 4}. Give prob of picking 2 o and 1 i.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-318)\/(-4)*13\/(-117). Is -9 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*i**2*m**3 + 14659*i**2*m - 2*i*m**2 - 48723*m**3 wrt m?\nAnswer: -12*i**2 - 292338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 708878?\nAnswer: 2, 354439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 672182.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 162*s + 5323 = -3221 - 852 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -372*x - 154*x - 376*x + 1278*x - 372*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 3*s**2 - 22*s + 6. Let r be m(7). Let p = 0.25 - -0.05. Put p, r, 4 in decreasing order.\nAnswer: 4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17234*b - 2726*b - 2095*b + 3168*b + 13525*b.\nAnswer: 29106*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the third derivative of -a**5\/30 - a**4\/8 + a**3\/3 + 8*a**2. Let d be p(-3). Which is smaller: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 996 and 149649.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, 0.139, -2.2, 1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + 1 + 8240\/(-6 + 14). Calculate the highest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zokozztzzkzookzozo. What is prob of picking 3 z and 1 k?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2*q**2 + 60*q - 60. Let x be v(29). Which is bigger: x or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 46 + 56 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.003 + 2.903. Let f = m - 3. Let o = 3 - -2. Which is the closest to f? (a) -5 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -90 + 135. Let b = -42 + v. Suppose b*o + 1822 = a, 5*a - 9180 = 2*o - o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the second derivative of 0*q**4 + 0*q**5 + 0 + 1\/6*q**6 + 4*q - 1\/2*q**3 + 0*q**2. Find the second derivative of w(r) wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13325746 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (0*m**3 + 0*m**3 - m**3)*(-3 + 3 + 1) - 8*m**3 + 20*m**3 + 8*m**3 in the form i*m**2 + d*m**3 + p*m + l and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 414*s + 4320 = -1890 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -147*z + 2521 - 1051 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -40 - 475?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 + 28*r**2 - 4*r - 91. Let q be c(-28). Suppose -5*b - t = -q, -b + 5 = 2*t - 1. Solve -3*k - 2*k - b*j = -25, 2*j = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12857587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 27622560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - -2 - (22 - 18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 5925 + (2 - (6 - -1)). Let c be 3\/2*n\/60. Let b = -90 + c. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34.2 + 38. Let v = d - 3.8. Which is the closest to v? (a) -0.1 (b) 0.8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 35 - 75 = 0, -4*b = -4*k - 21 + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(2\/3)*c*c\/(c**2*c))\/(c*c**(3\/5)*(c*c*c**4)\/c*c) assuming c is positive.\nAnswer: c**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 447*d - 451*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**2 + i + 1. Give k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/4*2\/1. Let y be (h\/8)\/(8\/16). Let p = 76 + -686\/9. Which is the closest to 0? (a) -2\/7 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 11, 8475, 1.\nAnswer: 1, 5, 11, 8475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 191528 and 656464.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*d - 6*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 20 = 0, -4*o - h + 15 = 2. Let v be (o\/(-6))\/(1\/(-3)). Let b(g) = v + 0*g + g**2 - 5 - 3*g. Give b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.907538 to 4 decimal places.\nAnswer: 0.9075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 3*i + 1. Let r(h) = -h**3 + 5*h**2 + 2*h + 4. Let q be r(5). Let o be -4 + -2*q\/(-4). Sort 2, o, i in increasing order.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -0*m - 60. Suppose 0*y - 3*y = -m. Suppose q = -4*i + 21, 3 = q + 6. Calculate the highest common divisor of i and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1611302*y**2\/9 - 51154*y + 4\/9 = 0. Calculate y.\nAnswer: 1\/115093, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2 - 1. Let u be w(-2). Suppose 2*n = 4*g - 122, -2*g + n = u*g - 151. Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**5*p + 22*i**2*p - 35*i*p + 4*i wrt i.\nAnswer: -20*i**3*p + 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + b + 14 = 0, -4*m - 2*b + 36 + 44 = 0. Suppose -50 = -j - 15. Calculate the remainder when j is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 5:33 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -774 (base 12) in base 10?\nAnswer: -1096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-28))\/(1*9\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-692 - -701) + (-4 + 0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of k - 7. Let i = 3 - 5. Let w = i - -1. Let c(x) = -2*x - 5. Calculate w*c(l) - 4*m(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 + 8*t - 5. Calculate h(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - -1 - 3 - (5 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -122 divided by -931317?\nAnswer: 122\/931317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 94953222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -1825927*o**3 - 5*o**2 + 13*o + 55. Let m be p(-3). What is m rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 385*u + 672. Let y(g) = -4*g - 1. Let x(p) = -r(p) + 4*y(p). What is the derivative of x(w) wrt w?\nAnswer: -401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, t: 2, n: 1}. Give prob of picking 1 t and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.61 * 4447\nAnswer: 2712.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95\/285*(-6)\/(-10)*-1*(-35)\/126.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (11 - 5) + -14 - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 AM and 10:45 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a**3 - 13*a**2 - 5*a - 5. Let s = -100 + 98. Let f(z) = z**3 - 6*z**2 - 2*z - 2. Determine s*x(i) + 5*f(i).\nAnswer: i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3158, 25346, 85638, 203108, 396830?\nAnswer: 685878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002483313276 rounded to 5 dps?\nAnswer: 0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 505 - 505 - 8*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Do 12.54 and -1217 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 8) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*(-g - g + 5*g)*(0*g - 2*g - 2*g) + (3 - 1 - 5)*(0*g**2 + 5*g**2 - 3*g**2) + (3*g - 6*g + 5*g)*(-g + 3*g + 0*g).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-6)\/21)\/(8 + 565\/(-70)). Suppose -3*c + o*v - 5*v = -31, -3*v + 3 = -c. Solve c = -f - 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 3*d**2. Let b(u) = 10*u + 14. Let w(p) = 2*p + 3. Suppose -4*y + 3 + 9 = 0, -57 = -3*g - 5*y. Let k(r) = g*w(r) - 3*b(r). What is z(k(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 0 - 2)*(1 - 2 + 2)*(3 - 342 - 55)*(-3 + 0 - 2)*(0 + 1 - 2)*(y + 3*y - 2*y) in the form d + i*y and give i.\nAnswer: 3940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 8464 = -4*i + 14376, 4*b + 28550 = 5*i. What is the remainder when i is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 - 25*s - 141. Calculate v(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 2*l - 6 = -25, 0 = 4*v + 5*l + 13. Suppose -v*h + 0*y = 4*y - 5, 7 = h - 4*y. Solve -1 = -h*g - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 43*v**2 - 7*v - 308. Let r(m) = -14*m**2 + 2*m + 88. Let s(a) = -7*r(a) - 2*w(a). Let g(y) = -7 - 16*y**2 + 7. Determine s(g(d)).\nAnswer: 3072*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 642727094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**20\/w)\/w)\/w**(9\/5) assuming w is positive.\nAnswer: w**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-64)\/(-6) + 1)\/(309 + (-284282)\/921)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*(-2)\/16)\/((-12)\/12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssfl. Give prob of sequence lfs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 16856, 67526, 152012, 270314, 422432, 608366, 828116?\n\"Answer: 16908*f**2 - 54*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -11021111100 (base 3) to base 5.\nAnswer: -10143240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 5:42 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -3\/7, 4, -3\/16, -5, -126, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 25*b**3 + 6*b**2 - 6*b. Let r(t) = 76*t**3 + 17*t**2 - 17*t. Let l be 43\/((-258)\/12)*(21\/2 + -2). Calculate l*z(x) + 6*r(x).\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 149373907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1186 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -83 and -2.78.\nAnswer: -85.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2*((-23)\/2 - 0). Let p = l + -16. Suppose 2*a - p*a = -30. Solve 3*r + a = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -10447 times -3.8\nAnswer: 39698.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**19\/y)**(1\/95) assuming y is positive.\nAnswer: y**(18\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 118*f - 157 = -1219 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 257462508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 36306, 36308, 36310?\n\"Answer: 2*h + 36304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12102 - -2.\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4543.1 - 4543. Which is the nearest to 0.1? (a) 73 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 543\/34651 at least as big as 1\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2890?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gqqqqggq. Give prob of picking 1 g and 3 q.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*p**3 - 8*p**2 + 15*p**2 - 7*p**2 - 43*p**3.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f - 49*f**2 + 22*f**2 + 41*f**2 - 3*f.\nAnswer: 14*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -n + 0*n - 2*n + 4*n - 4*n + n + (3 + 2 - 4)*(-2*n - 4 + 4) - n + 4 - 4 - 1 + 14*n - 16*n + 0.\nAnswer: -7*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -25654*g - 51150 = -27304*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f + 2. Let o(v) = -2*v - 4. What is 6*o(q) + 10*x(q)?\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 2*m. Let f(p) = p**2 - 8*p + 1. What is -2*f(l) - 6*z(l)?\nAnswer: -2*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*d = -2*d + 2035. List the prime factors of (-25)\/(-5) - 5 - d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31017*t = 19*u + 31018*t + 93, u - 4*t + 13 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 213 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 + 306 = 3*j. Suppose h - 11 = j. Suppose -2*n - 2*n + h = 0. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -3*j**3 + 3*j**2 - 3*j + 5. Let d be w(-9). Let o = -1291 + d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a + 3*w - 201, 3*w - w = -4*a + 398. Suppose 2*p = -4*g + 52, -3*g + 4*p = 3*p - 29. Calculate the greatest common divisor of g and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 5 (b) 514 (c) 2\/11 (d) -0.041\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -5 - (39 - (-32 - -72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 + -375182.7\nAnswer: -375176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 19620 and 2900?\nAnswer: 2844900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 5*g - 8. Suppose 17*t - 18*t = -5. Let b(f) = 3*f - 5. Give t*d(y) - 8*b(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**2. Let a(v) = -493*v - 1. Let o(g) = -953*g - 2. Let y(h) = 13*a(h) - 6*o(h). Calculate m(y(u)).\nAnswer: -477481*u**2 - 1382*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35 divided by 42736.\nAnswer: 35\/42736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3684 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 81406 and 404.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -2 - 2) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 590.5 - 590.6. Which is the nearest to d? (a) -1 (b) 65 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.048 + 5.048. What is the nearest to -2 in c, -2\/13, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z + 8*z = 5*k - 14, 3*k - 2 = 4*z. Solve 0 = k*y + 20 - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-12)\/(-18)*(3 - (-1732)\/(-632)) and 56\/3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 + 112*d**2 - 107*d - 435. Let p be o(111). What is the closest to -0.2 in p, 3, 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -9*j + 6. Let x(h) = -h + 1. Calculate v(d) - 6*x(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the third derivative of -f**8\/1120 + f**7\/336 - f**6\/360 + f**3 + 4*f**2. Let m(z) be the first derivative of j(z). Factor m(w).\nAnswer: -w**2*(w - 1)*(3*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-9759.\nAnswer: -39036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -2*w + 180, 2*v - 4*w = -2*v + 344. Let d = v + -85. Solve -d*f - 6 = -9*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((2 - 2)*1)\/(35 - 37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k + 12, -3*b - 3*k - 13 = 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-12)\/((-1)\/((-1)\/2*-1)). Let m be (9 + -9)\/((-4)\/2). Solve 0*s - g*s + 30 = m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 3 n when four letters picked without replacement from yozolnznlolna?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 4 (b) -7.2 (c) 13 (d) -2\/9 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - -b78?\nAnswer: b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -223 = -2*v + 3821. Suppose -v = 2*c - 8*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 6*g**3 - g**2 - 4*g + 3. Suppose 5*l + 3*h + 9 = 17, 5*h - 1 = 4*l. What is r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z + 7*x, 0*z + 4*z = 2*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7171\/(-707) + 12 + -2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p + 18 = -10. Put p, 3, -2, 1 in increasing order.\nAnswer: p, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*l + 10. Suppose 5*r - 4*g = 19, -5*g - 18 + 4 = -l*r. Suppose 3*p = 4*a + 17, -r*p + 2*a + 13 = -0*p. Sort -1, 5, p in descending order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6131 - 22232 - 8001 = 309*n for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a + 420. What is the hundreds digit of g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 PM and 2:51 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 68354 and 11906024?\nAnswer: 130966264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (0*s - 2*s + s**2 + 0*s)*(-15 + 46 - 16)*(-3 + 4 + 1)*(-1 - 2 - 1) as b*s + o*s**2 + r and give b.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -1587*q. Let i(w) = 65*w - 273. Let p(d) = -43*d + 189. Let o(r) = -9*i(r) - 13*p(r). Give 184*o(b) - 3*z(b).\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v**3 + v**3 + 0*v**3 - 2 - 15*v**3 + 3*v**3 + 8*v**3 + (-5*v**3 + v**3 - v**3)*(4 + 0 - 2).\nAnswer: -15*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - f)*(4 - 6 + 9*f**2 + 0 + (0*f - f - f)*(4*f - 3*f - 3*f)).\nAnswer: -13*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8\/(-18) - (-8 + (-1272)\/(-54)). Which is smaller: -5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -8*(-1)\/(-6)*(-153)\/6. Solve -32*i = -w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((5 + sqrt(52)\/sqrt(4) + sqrt(13))*-6 - (-2 + sqrt(13) + -2 + (sqrt(13) - (4 + sqrt(13)*-2))))**2.\nAnswer: 704*sqrt(13) + 3810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2 - 7)\/((-2)\/6). Suppose 5*c - b = -2*y, -c + 8 = -y + 4. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*j**4 - 13*j**2 + 1 + 13*j**2 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4.1 + 0.1. Let s = 1.2 - 1. Which is the closest to s? (a) 0.4 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -163*b - 2. Let t(y) = 1140*y**2 - y. What is i(t(u))?\nAnswer: -185820*u**2 + 163*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(320) + 1 + sqrt(320) + 0)**2.\nAnswer: 32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -12292.91 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5276 or -5275?\nAnswer: -5276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 51*d**2*i**2 + 114*i**2 wrt d?\nAnswer: 102*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (1 + ((sqrt(972) + 2 - sqrt(972) - sqrt(972)) + sqrt(972))*-3 + sqrt(972) + -4*(1 + sqrt(972)))**2.\nAnswer: 972*sqrt(3) + 8827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 13) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 6, i: 7, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 + 12*s + 4. Let b(n) = 2*n**2 + 23*n + 8. Let l(q) = 3*b(q) - 5*j(q). What is l(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 104605253.\nAnswer: 31, 37, 91199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of 0*g**2 + 1\/120*g**5 - g + 0 + 0*g**3 + 1\/360*g**6 - 1\/4*g**4. Let s(y) be the third derivative of c(y). What is s(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (58 - 58 - 10*a)*(-2 - 2 + 3 + 2 + 2 - 2 + (0 - 4 + 2)*(2 + 1 - 4) + 3 + 1 - 2 + 9 + 6 - 6).\nAnswer: -140*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**3 - 4*v**2 + 2. Suppose 2*u + 5 = 3, -u = 5*l + 21. Let p be b(l). What is the first derivative of 172 - 73 - y**2 - 85 - 10*y**p wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03593 rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5637, -23618, -53573, -95496, -149381?\nAnswer: -215222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 389 - 393. Let b = -2 + 1.8. What is the nearest to -0.1 in -0.4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-1256)\/3)\/(-2) + (1116\/(-27) - -41) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1532.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 2*f + 4, -f = -4*l + 1576. Suppose -3*q - 84 = 4*v - l, -255 = -3*v + 5*q. Round v to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 0 - 1\/5*p**4 - 64\/5*p + 127\/5*p**2 - 62\/5*p**3 = 0. What is p?\nAnswer: -64, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a factor of 126158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r**2 - 12*r - 2. Let p be j(0). Let x = -0.3 - 0.1. Let u(g) = 2*g + 15. Let t be u(-9). What is the closest to t in x, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 7, y: 5}. What is prob of sequence ww?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 25774125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z**4 + 4*z - 4*z + (z - z + 2*z)*(z**2 + 2*z**3 - z**2))*(-1 + 0 + 3).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 + -18)*38\/95. Let c be (o\/(-28))\/(7\/539). Let y(f) = f**3 - 5*f**2 + 4*f + 2. Let j be y(4). What is the greatest common factor of j and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27 + 49. Let c = -20 + x. Which is smaller: 7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -22*x. Let k(o) = -13*o**2 - 44*o - 4. Let c(w) = 2*h(w) - k(w). Let z(b) = -612*b**2 - 187. What is -187*c(s) - 4*z(s)?\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 9*r**3 - 56*r**2 - 43*r - 15. Calculate the remainder when 216 is divided by f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/51 (b) 5\/2 (c) 47043 (d) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 138 - 27. Calculate the remainder when n is divided by 3 + 4 - (0 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 4*a, -5*a - 6 = 3*m - 146. What is the remainder when 287 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-2)*(-1)\/(-3)*-2. Determine d, given that 2\/3*d + 1\/3 + y*d**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 121 in 2\/11, -4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5)\/(-2)*36\/15. Suppose 0 = 2*b + 4*v + 4, 2*v - 32 = -5*b + j*v. Find the third derivative of -2*p**2 - 10*p**4 + 10*p**b + 2*p**5 wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000038652618 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 12:27 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 52 = 3*f. Suppose 15*r - 48 = -18. Solve f = -r*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j - 3. Let p be x(0). Let i = -2 + 0. Are p and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from azbzzbagzggaakkkagg.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -23 and 0.05.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 7, d: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -5 - 362\/(6\/(-9)*48\/64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 150.3601 decades?\nAnswer: 15.03601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 + 5*t**2 + 48*t - 5. Let y be v(10). Find the common denominator of 0\/(-2) - 206\/(-20) and (-5)\/15 + y\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -19 - 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 95972859 to the nearest integer?\nAnswer: 9797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -25 + -5 + -11 - (145 - 59)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**2 + 2*v - 2. Let m be z(1). Let q(g) be the second derivative of 0*g**m - 16*g - 1\/12*g**4 + 0 - 1\/2*g**3. Determine q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 4*w - 16 = 0. Let x(y) = 6*y - 10. Let b(j) = -7*j + 11. Let d(v) = w*b(v) - 5*x(v). Suppose 114*m - 113*m + 2*g = 19, -3*g = -18. Calculate d(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = 3*p + 5*l, 0 = -5*p - 96173*l + 96175*l + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:35 PM and 11:19 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 27*j**2 + 2*j - 119. Let w(l) = 79*l**2 + 7*l - 358. Let i(y) = -7*t(y) + 2*w(y). What is the derivative of i(d) wrt d?\nAnswer: -62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -39*k - 27 + 16*k + 23*k - 2*k**2 in the form j*k**2 + c*k + h and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -11 in 3\/5, 6.8, 0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 176815320 divided by -7192\nAnswer: -24585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*l - 241*l - 1395 - 1773 = 0 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 317178 is divided by 365?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/k**(-18))\/k)\/(k\/(k\/(k\/((k\/((k\/k**(-2\/51))\/k))\/k))*k))*(k\/(k\/k**18*k*k))**23 assuming k is positive.\nAnswer: k**(19735\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 24*r**2 + 26*r + 8. Let q be f(4). Suppose -20*j = -584 - q. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 156 = 20*o + 33*o. Let -10\/7*d - 2\/7*d**o - 4\/7 - 8\/7*d**2 = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 3:07 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(1\/19)*s**(-30)\/s)\/((s**14*s*s)\/s**(-6)))**17 assuming s is positive.\nAnswer: s**(-16813\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 75944 divided by -6.\nAnswer: -37972\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l + 1. Let w(b) = b + 8. Suppose -11*y + 14 = g + 7, -4 = g. Give y*w(q) + 2*z(q).\nAnswer: -q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-4)*12\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 2*o**2 - 5*o + 6. Suppose -f = -0*y - y + 9, 2*y - 3 = -3*f. Let c be a(y). Suppose 4*r = 3*k - 40, 6*k - k - 2*r = c. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 37883338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + g + 4 - 1 + 1 + g - 2 + g + 2 + 4*g + 2*g - 4*g + (-3 + 3 + 2)*(3*g - g + 0*g) + g - g + g + 2*g - g - 3*g - 17251907 - 7579*g + 17251907.\nAnswer: -7571*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -993*g + 76*g - 773*g = -125060 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1*(-3)\/(-36)*74\/74\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2902 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 26\/9 - 2\/9*f**2 - 8\/3*f.\nAnswer: -2*(f - 1)*(f + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 1)*(-j**3 - 5*j**3 + 2*j**3)*(0*j**2 - 2*j**2 + 4*j**2).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -47 + (4080\/144 - -16).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/(-18)*(-4)\/(120\/9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -191 + 101. Is (-2 + 4)*h\/(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 6 + 4)*(-12*p + 39*p + 6*p) + 0*p + p + 2*p + (1 - 1 + 2*p)*(-2 + 0 + 1) as i + t*p and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 1302360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8329\/3 - -2777. Put 8, 0.026, f in descending order.\nAnswer: 8, f, 0.026","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -3*x**3 - 69*x**2 - 60*x + 132 = 0.\nAnswer: -22, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5344 and 100518302.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vr when two letters picked without replacement from vvrvvvr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-42*x - 4*x + 8*x)*(-2*x**2 + 4*x**2 + x**2) to t + z*x + b*x**2 + j*x**3 and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -200*t - 37. Let n be s(-9). Let j = n + -252. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12565 + 132*w + 12565)*(-4 + 3 + 3) + 228 - 228 - 4*w + (4 + 2 - 5)*(w + 5*w - 3*w).\nAnswer: 263*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003953451 to 6 decimal places.\nAnswer: 0.000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -45, -42, -39, -36?\n\"Answer: 3*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.465818 micrograms to tonnes.\nAnswer: 0.000000000005465818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (92\/(37352\/(-522)))\/(3\/1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 + 123*k**2 - 2481*k - 204226. What is o(-130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3375735983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 301058747?\nAnswer: 11, 27368977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {t: 1, k: 1, o: 5, c: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((0 - 3)*9)\/(-283 - -280)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 6. Sort l, 2, -1 in descending order.\nAnswer: l, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*s**3 + 8*s**2 + 3*s**2 - 7*s**2 - s**2 as y*s**2 + h + c*s**3 + z*s and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 6*h - 2*h**2 - 6*h - 4 - h**3. Let s be m(-3). Solve 5 = -s*n - 5*g, -2*n - 4*g + 0 = 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4742 - 4382. What is the lowest common multiple of 480 and m?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/8*((-112)\/70)\/((-8)\/10). Which is the third biggest value? (a) 0 (b) 1\/104 (c) -2\/3 (d) m (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 131 - -9?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 363*p**3 - 12*p**4 + 408*p**3 + 2*p**2 + 12*p - 773*p**3 as c*p**3 + o + i*p**4 + t*p + s*p**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.12, 5, 0, -52662\/43?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/6)\/((-66)\/(85536\/180))*15\/(-6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 2 - 4)*(1 + 3 - 2)*(j + 3*j - 2*j) in the form y + f*j and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1286390823.\nAnswer: 3, 428796941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -1009 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 29226122 rounded to the nearest ten thousand?\nAnswer: 29230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 36*c. Let p(x) be the second derivative of -2*x**4\/3 - 203*x. Calculate m(p(w)).\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -8044, -16104, -24164, -32224, -40284, -48344?\n\"Answer: -8060*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -352 = 44*v - 132 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 28\/(-70)*-1*(-1 - 1). What is the second smallest value in -2, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3807 is divided by 169.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1943 is divided by 778.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 290\/1421*63 - (17 - 4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 - 6*s + 32. Let j be g(-9). Solve 4*x + 19 - 7 = 4*v, -2*x - 12 = -j*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2*j**2 + 3*j. Let g(v) = v**2 + 4*v. Determine -3*g(t) + 4*m(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 12 + 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.7 + 0.7. Put x, -0.3, 0.3 in descending order.\nAnswer: 0.3, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 24*m + 11. Let w(i) = 145*i + 65. Let n(y) = 25*r(y) - 4*w(y). Differentiate n(q) with respect to q.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 850885?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -63 + 25 - 4*a**2 + 27 + 11 - 28*a + 2*a**3 to the form u*a**3 + v*a**2 + x*a + k and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28925*h + 139 - 28925*h - 139 + 10*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q*q*q**(-1))\/q)\/q)**(1\/38)\/(q**1*(q**(2\/9)\/q*q)\/q))\/(((q\/(q\/(q*q**(2\/3))))\/q)**(-7)\/((q**(-2\/5)*q*q)\/q**(4\/3))) assuming q is positive.\nAnswer: q**(8011\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1050 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 46 + -45. Let y be -4*4\/(88\/i). Suppose 3*d + 4 = -2. What is the second biggest value in -1\/3, y, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 211*i - 34. Calculate the remainder when z(1) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 9*i**3 + i**2 - 2*i - 4. Let y be c(3). Calculate the common denominator of 1\/(-4)*y\/(-3) and 43\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2*f**2 + f. Let s be l(1). Let n be s + ((-48)\/(-3))\/(-2). Let d(z) = -2*z - 13. List the prime factors of d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-248)\/1364)\/(1\/11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1581 - -452. Let h = 1593 + k. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-84)\/(-35)*(-5)\/(-2). Let v = 12 - c. What is the remainder when 10 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3 = -6*a, -5*o + a + 1818 = 0. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 81.2192*-217.\nAnswer: -17624.5664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6\/307 - 21146\/390811. Find the common denominator of 27\/335 and m.\nAnswer: 6365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y**2 + 857219818214*y - 857219818214*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 3*m - 8. Find the third derivative of -3*t**6 + 2*t**m - t**2 + 2*t**6 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -135 + 135. Let o be (b\/(2 + -5 + 2))\/1. Factor o - 2\/3*m + m**4 + 1\/3*m**3 + 1\/3*m**5 - m**2.\nAnswer: m*(m - 1)*(m + 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -2*f + 2. Let t be j(0). Which is the smallest value? (a) t (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36\/378)\/((-16)\/(-216))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 + (-5 - 3))*1. Let j(v) = -6*v**2 - 3 + 3 - v. Let m(t) = -17*t**2 - 4*t. Let i(y) = w*j(y) + 2*m(y). Give i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of 2\/3*l**3 + 2 - l**2 - 4*l. Factor k(h).\nAnswer: 2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -206*n**2*r - 14*n**2 - 2*n wrt r?\nAnswer: -206*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 85401 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65 - 36*m + 71 - 136.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k - 3*k - 4*i = 101, 2*i = 5*k - 93. Solve k + 3 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 3*x + 4 = r, -4*r - 3*x - 20 = 0. Let y be 15\/r*(-4)\/(-3). Let u = y + 11. Solve z = -u - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-56)\/(-35) + (-2)\/(-5). Let q be t\/6 + (-4)\/(-6). Solve -5 + q = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.21868 greater than 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -3*o + 36. Suppose -2*k + 16 = -4*g, 3*g = 2*k + 7*g - 48. Suppose -11*n = -k*n + 50. Calculate the remainder when o is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -2, 11, -5 in ascending order.\nAnswer: -5, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 56925 + -38246. Suppose 0 = -2*h + a + 43251, -h + n = -3*a - 2959. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 AM and 11:42 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in fourty-five quarters of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145625073 is divided by 29125014.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 696677 is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**2 + 7*m**2 - m**3 - 9 + 10*m**2 - 4*m**2 + 17*m. What is s(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -69 - 21. Suppose -4*n - 2 = -g. Calculate the remainder when (12\/(-18))\/(2\/(-30)) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -78, -86, -110, -156, -230, -338, -486?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 983, 1157, 1331, 1505, 1679, 1853?\n\"Answer: 174*f + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 4:47 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/26 + -129 + 84984\/663?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28 - -48. Suppose 6*d - 4*d = 42. Let j = d + -16. Calculate the highest common divisor of l and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10247 + -10232. Sort 8, -1, c, -4 in descending order.\nAnswer: c, 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bibhjguj. What is prob of sequence bgh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 106334 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bqbb when four letters picked without replacement from bbbbqbbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1244330 (base 6) to base 5\nAnswer: 4142012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -0*j + 14. Let v(h) = 2*h**2 - 3*h + 10. Is v(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.49057 - 0.00943. What is the third smallest value in 0.3, -16, 3\/2, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5.10293 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/((-1548)\/(-60)*(-85)\/(-34)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g + 14. Let c be v(-10). Let o = -20 + c. Which is smaller: 16\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**6*l**(2\/7)*l*(l**(-1\/3))**(-21) assuming l is positive.\nAnswer: l**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 - -21. Find the first derivative of 4*j**3 - 10*j**k - 4*j**3 - 2*j**4 - 5 wrt j.\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 4*d**2 + 2*d + 1. Suppose 5*r = 2*r + 5*g - 232, -2*g + 355 = -5*r. Let l = r - -66. Let v(p) = 9*p**2 + 4*p + 3. What is l*v(o) + 7*f(o)?\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -488590*x**4 + 193630.\nAnswer: -1954360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 4.620542 to three decimal places.\nAnswer: 4.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 + 45 + 15 + -43.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 - 10*d + 3. Let m be h(1). Let n(v) = -1. Let b(y) = -2*y**2 + 4*y - 6. Give m*n(z) + b(z).\nAnswer: -2*z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (4340\/(-720)*20 - -32) + (-16)\/36?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u**3 + 2672*u**2 - 297740*u - 37530176 = 0. Calculate u.\nAnswer: -73, 277, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 43 - (-61 + 37 - -83)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 1, -3\/4, 26, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 3*a - 89 - 44, 4*o = 3*a - 143. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000094297884 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*z + 8*z - 7203 + 12*z.\nAnswer: 2*z - 7203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-16 - (-23 + 3) - 8) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 4)*(10657*k + 16563*k - 12602*k).\nAnswer: -58472*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 3, -0.1, 43, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add -2.41 and -89.\nAnswer: -91.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33.4 + 6.4. Let m = f + 26.79. Let g = m + 0.11. Which is the third biggest value? (a) g (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -4*v - 32 + 13 + 19. Let d(j) = -16*j**2. Determine l(d(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 24397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes after 8:50 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -45 + 42. Find the common denominator of 145\/18 and w\/(-300)*(904\/12 + 0).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(7) + sqrt(7) + 4)*2.\nAnswer: 4*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 20*f + 25*f - 7, -2*i + 7*f - 16 = 0. Let p = 4.6 - 1.6. Put -0.4, 7, p, i in decreasing order.\nAnswer: 7, p, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 5. Let s = 34.79 + -35. Let t = 2.79 - s. What is the closest to m in t, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30\/40*(-98740)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -906.8213 - 0.1787. Let v = f + 907.0421. Round v to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of t**3 - 61392234*t**2 - 1019342683*t wrt t.\nAnswer: 6*t - 122784468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes before 9:27 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -923, -1845, -2767?\nAnswer: -3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m - 4*m - m + 5*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes after 10:39 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the third derivative of 0 + 0*j**3 + 5\/12*j**4 - 7*j**2 + 0*j. Let f(q) = -7*q. Calculate c(f(h)).\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(-66)*4\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 10*g**2. Let a(b) = 104263*b**2. What is v(a(n))?\nAnswer: 108707731690*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together -222730 and -1099297.\nAnswer: -1322027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 - (-15)\/18)*6. Let k be (n + -4)*(3 - 3). Solve k = -4*t - 5*j - 0*j + 5, 0 = 4*t - 5*j + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91788659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, h: 3, q: 1, r: 1, i: 4}. Give prob of picking 3 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbgjttluttbu. Give prob of sequence ujt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 0*t - 26 = -2*t, -3*g = 4*t - 27. Find the second derivative of 3*z**g + 2*z**5 - 9*z**5 - 6*z wrt z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 23 + 428 = 38*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*x**2\/7 - 1846*x\/7 + 52664\/7.\nAnswer: 2*(x - 116)*(6*x - 227)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -834, -735, -636, -537, -438, -339?\n\"Answer: 99*u - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - g - 483 + 48, -5*k - 3*g = -415. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 730 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(0 + ((2*sqrt(110))\/sqrt(10)*-1 + sqrt(275) + 0 + -5)**2).\nAnswer: -248 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 134682820 at least as big as 134682820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 241849?\nAnswer: 73, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 + -2140?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 5412455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 70847.9ml?\nAnswer: 70.8479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (11\/2)\/((133\/(-14))\/(-19))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1.7 (b) 1\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is x in 139056*x**4\/5 + 47906904*x**3\/5 - 4650177*x**2 + 2634207*x\/5 + 9108 = 0?\nAnswer: -345, -44\/2897, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -3*a - 36. Let h be g(-15). Suppose 7*w - h*w = 0. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-4)*(-576)\/504. What is the second biggest value in -1, 6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c - 1. Let l(b) = 3*b + 3. Let a(t) = l(t) + 2*u(t). Suppose 5 + 13 = 3*s. Let f(k) = 6*k + k**2 - 2*k - k**3 + 0 + s. Give -6*a(r) + f(r).\nAnswer: -r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.04, -3\/193, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 139\/183, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) -5 (c) 12 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 928279691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-860)\/(-4214)*-1)\/((-8)\/(-14))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25\/20)\/(2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41116298, -82232598, -123348898?\nAnswer: -164465198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-851)\/888 - 12\/(-9)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-2))**(-31)\/(j**2*j)**(-29\/5)*j\/(j*j**(1\/4)*j)*j**(2\/15)*(j**(2\/3))**(-2\/33) assuming j is positive.\nAnswer: j**(154921\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 19 plus 4375339?\nAnswer: 4375358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -2*r. Let t be (4 - 10) + (-5415)\/(-900). Let i(u) be the third derivative of -t*u**5 + 0*u**4 + 2*u**2 + 0*u + 0 + 0*u**3. Determine b(i(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (872\/5668)\/(14\/13)*30?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 149 + 116 = 3*r, -4*t - 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 PM and 5:57 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 643897475?\nAnswer: 5, 13, 337, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 41 + -37 - (-1 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (55\/275)\/((-1)\/(-60035)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 0*h**3 + 11 - 2*h**3 + 14*h - 2*h**3. Let l(s) = -4*s + s**3 + 0*s**3 - 4 - s. Let k(q) = 3*b(q) + 8*l(q). Determine k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q + 0*q + 0*q)*((1 - 3 - 1)*(-5 + 1 + 1) + (-11 + 8 + 6)*(3 + 0 - 2)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.013717 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d + 3*d + 3*d)*(-2*d**3 + 4*d**3 - d**3) + d**4 + 4*d**4 - 3*d**4 + 10*d**4 - 2*d**4 + d**4.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*b + b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, l: 5, q: 4, u: 3, b: 5, m: 1}. Give prob of sequence ub.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(175) - (sqrt(28) + -3).\nAnswer: -12*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 14*y - 3. Let t(l) be the first derivative of -21*l**2 + 10*l + 1673. Calculate -7*m(o) - 2*t(o).\nAnswer: -14*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -166 + 162. What is the closest to 2 in -2\/11, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -1\/6*x**4 + 0*x + 3*x**2 + 1\/2*x**3 + 0 = 0. Calculate x.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 - 8*z + 4. Let s be l(4). Let c be (-22)\/(-8) - 3\/s. Suppose -c*a = -3*g + 3989988, 5*a = 16 + 4. Round g to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + -2 - (-14 - -4). Suppose -6*l = -16 - m. Suppose 4*y - 26 = -2*g + 10, 5*y = 25. Solve -6*u = -l*u + g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1544512132 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 6*a**2 + 5*a + 2. Let g be m(5). Suppose -g*o + 39 = o. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 72 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 57 (base 13) in base 15?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 5 + sqrt(76)\/sqrt(4)*3 + (2*sqrt(19))**2 + -3.\nAnswer: 3*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - 0*l + 12. Suppose l*r - 1 = -9. Is 14 a factor of r\/(-3) - 116\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5*(20472\/100)\/(24\/40)?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -404*g - 83774 = -409*g - 3*k, k - 50270 = -3*g. List the prime factors of g.\nAnswer: 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46370 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2729, -19843, -65723, -154751, -301309, -519779?\nAnswer: -824543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 276591769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 18 = 7*q. Let g be q\/45 + 84\/10. Let w be (-1)\/(-2)*2*4. Solve w*d = -4 + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (10 + 11 + 3)*(-20*m - 84 + 84) in the form v + l*m and give l.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 3072723 (base 9) to base 7.\nAnswer: 16650015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 5143891.\nAnswer: -514389.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/66*8\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 + 291 = 21*u. Let y = 19 - 10. What is the lowest common multiple of u and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -1 + (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 32544 divided by 1017?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 + 11*c - 12. Let i be s(9). Let b be 2 + i\/8*-2. Which is smaller: 2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*g - 3120 = 45*g. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z**2 - 5*z + 7. Suppose -4*o + 5 + 11 = 0. Suppose -3*t + 11 = o*p, -4*t - p - 3*p = -16. Is k(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9 - -23) + 24024\/(-1729)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/60 and -121\/1152?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 3*m = 2. Let s be (8 - 1) + (m - 2). Solve v - s*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -201 = -13*k - 58. Let i(y) = 2*y**2 - 3*y - 13. Let f(g) = -g**2 - 2*g + 14. Let o(x) = -3*f(x) - 2*i(x). Give o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -5303*t - 286376. Give x(-54).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.1 - -0.1. Let v be 2 + (-4)\/((-24)\/(-215)). Let c = v - -34. What is the second biggest value in -0.4, c, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -4*l**3 + 16*l**2 - 28*l + 138. Determine i(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9.847 - 202160?\nAnswer: -202150.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 0.148?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = a - 2, 4*a - a = -4*k - 4. Let r(u) = -u**3 - 5*u**2 - 6*u - 1. Give r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 4*i - 66. Suppose r = 2*p + 8, 0*r + 2*p + i = 5*r. Suppose -4*c = 5*a - 1399, -2*c + r*c = -5*a + 707. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 51 = 4*z - 5*p, 3*z - 15 = p. Solve -z*a - 16 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 716155200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 + 7*h**2 - 11*h - 2. Let w be t(-8). Let m = -8 + w. Suppose 3*c - 10 = m. What is the highest common divisor of c and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -203436 divided by -18?\nAnswer: 11302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -3*c**2. Let z(h) = -3059*h. Calculate z(u(k)).\nAnswer: 9177*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 - 10\/4)*-2. Let h(y) = -9*y**3 + y**2 + 2*y + 2. Let g be h(-1). Suppose z - g = -0. Solve -z = b - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*r + r = i - 8, -5*i - 16 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.92 + 2.08. Which is bigger: n or 0.21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2387291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + 19 = -4*p, -24 + 50 + 3 = p - 6*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 times -182?\nAnswer: 5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13530 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x - 6. Let b(f) = 7*f - 32. Let d be b(6). Let c(q) = 5*q**3 - q. Let t be c(1). Let j = d - t. Give k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10038188.\nAnswer: 2, 101, 24847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -147, -153, -147, -123, -75, 3, 117, 273?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/6 and -22\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5\/3 or -320893?\nAnswer: -320893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70925 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 6*w**3 + 6*w**2 + 5*w - 12. Let b(x) = 5*x**3 + 6*x**2 + 5*x - 11. Let i(j) = -5*b(j) + 4*p(j). Suppose -1126*r = -1042*r + 420. What is i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4\/7 - 8*t**3\/7 - 433*t**2\/7 - 2260*t\/7 + 2700\/7.\nAnswer: (t - 27)*(t - 1)*(t + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**2 + 2*t + 3. Let c be g(-3). Let h = c - 6. Suppose -2*d + 44 = -h*d. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50901*g - 9 = -50903*g + 3*y, -5*g + 13 = 2*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -6*a + 4. Let o(c) = -2*c**2 + 2*c - 10. Let i be o(0). List the prime factors of u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (39\/(-6))\/((-1)\/2). Suppose 5*k + 3*w = 13 + j, 23 = 5*k + 4*w. Calculate the highest common divisor of k and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 23330102 (base 4) to base 11.\nAnswer: 33828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 78 = 4*q - 3*q, 0 = -2*q + l + 120. Suppose 10*y - 4*p - 120 = 5*y, 4*y + p = 75. Calculate the remainder when q is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 881*i**3*t**2 + 13*i**2*t**3 - 25469*i*t**3 - 2*t wrt i.\nAnswer: 5286*i*t**2 + 26*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -61 = 2*t - 5*g, 743*t - 2*g - 26 = 745*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 - 74 = -4*w. Is w greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 - 16*f - 13. Let h be n(-15). What is the units digit of (374\/(-17))\/(h\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.8 + -3.4. Let l = 14 - 12. Are l and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 - 5*k**2 + k - 3. Let n be x(5). What is the third derivative of -7*f**6 + f**2 + 2*f**2 + 0*f**n wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - (2 + -2))\/((-8)\/16). Let q be 96\/(-120)*(-15)\/c. Let o(g) = g**3 - g**2 + g + 9. Let a be o(0). What is the greatest common divisor of a and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 442356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(-2)*4\/15. Let v = 31\/40 - 13\/120. Put v, -0.22, j in decreasing order.\nAnswer: v, j, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.17744 less than -3?\nAnswer: 0.17744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.063 times -4642?\nAnswer: 292.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -2*i**3 + 3*i**2 - 6*i - 116. Let u(h) = h**3 - h**2 + 3*h + 58. Let t(c) = 5*u(c) + 2*x(c). What is the units digit of t(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-788)\/2167*(-1 + -3).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum -173922 and -91832720.8.\nAnswer: -92006642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**2 + l - 6. Let p be 0 + 3 - (3 - 2). Let u(a) = -a**2 - a**p - 2*a + 5*a - 17 - a**2. Determine -17*s(f) + 6*u(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (40 - 53) + (0 - -24) + 39\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - -3.6. Let d = -7.8 + 8.1. Let q = d + v. What is the closest to -2 in -5, 4\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**12*g**(-1\/17)*g*(g\/g**(-14)*g)\/((g\/g**(-8))\/g))**(-10) assuming g is positive.\nAnswer: g**(350\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 67.1354 nanometers in meters?\nAnswer: 0.0000000671354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3453756393.\nAnswer: 3, 1151252131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(2 + 87\/(-6)). Does 4 divide ((-18)\/15)\/((-2)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24) - 3*(sqrt(864) - sqrt(24))) + sqrt(24))\/sqrt(12).\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*a**2*h**4 + 12749*a**2*h - 457*a*h**5 wrt h.\nAnswer: 96*a**2*h**2 - 9140*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*u + 3. Suppose i - u*i = -48. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 1:17 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7 (b) 2\/25 (c) -0.02 (d) 0.1 (e) -3 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 3) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**2 - 1. Let i(q) = -3*q**2 + 7*q - 12. Let k(y) = a(y) - i(y). What is the units digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and -10484.17?\nAnswer: -41936.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 304141717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/4 + 3 + 0. Solve -8*g = -3*d - 3*g - l, 0 = -d - 3*g + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(3) + -4 + (sqrt(54)\/sqrt(6))\/sqrt(3).\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1 + (7 - -21) + -12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0007686 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 4\/33 (b) 5 (c) 4 (d) 67 (e) 2\/5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/11, -1\/11, -0.4, 7, 27 in descending order.\nAnswer: 27, 7, -1\/11, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 3*z - 24 = 0. Let o(t) = -t**2 - 7*t - 3. Let a be o(z). Suppose 4*i - 22 = a*i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 - 15*j**2 + 15*j - 23. Let t be (-6)\/39 - (-2 - (-232)\/13). Give v(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 - -7. Let w(m) = -22*m + 10*m + 2 + m**n + 10*m. Let r(i) = -9*i**2 + 21*i - 21. Let z(k) = 2*r(k) + 21*w(k). Let y(c) = 5*c**2. Determine z(y(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide ((-3276)\/(-5)*4\/(-12))\/(124\/(-1240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 4*w. Solve 2*p = -w*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i + 10, -2*m - 2*i = -8 + 6. Solve 6 = 3*k + m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 88\/35259 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o - 31*o + 66 = 0. Solve 0 = -3*c + o, -5*v - 8*c + 3*c - 15 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 392 - 707 = 63*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-40)\/16)\/((-2)\/4). Differentiate -f*l - 5 + 11 + 1 with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the first derivative of t**4\/4 - 10*t**3\/3 + 3*t + 7. Let f be n(10). Solve -15 = -4*k - k - 5*a, f*a = 4*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 461 at least as big as -24414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 11 - 75\/(-35) - 2\/14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -19546 (base 11) to base 14\nAnswer: -9d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 - 17*p**2 + p + 10. Let s be y(10). Let q = s + 1417. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, 1\/284, 0.3?\nAnswer: 1\/284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 998486553?\nAnswer: 3, 1327, 250813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 13*c**2 + 797*c - 49. Is w(-159) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3696290 and 3370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -251 or -2004?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27582727, 27582721, 27582715, 27582709, 27582703, 27582697?\nAnswer: 27582691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5463 divided by 9?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1059617314 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes after 1:51 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 1 = -3. Let a(n) = -69*n**3 - n**2 - n - 1. Let p be a(k). Does 11 divide (-1)\/((-72)\/p - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 2.3259111 months?\nAnswer: 0.0193825925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 34840\/117 - (1 + 44\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 637*l**2 + 916 with respect to l.\nAnswer: 1274*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1.26519433 rounded to two decimal places?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -3*l**5 + 963*l**4 + 25923*l**3 - 376263*l**2 + 902880*l + 1304100 = 0.\nAnswer: -35, -1, 6, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1ac4475 - -5?\nAnswer: 1ac447a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = g + x + 84, x = -5*g + 16. Solve 2*j - 2*p = 8, 4*j - g*j + 5*p - 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*z - 3 = 321. Solve 11*n - z*n - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w = 205*l - 207*l - 7 + 15, 2*w = -l - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, c: 2, a: 7}. Give prob of picking 2 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -177, -220, -263, -306, -349?\n\"Answer: -43*w - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6159*i**2*v**3 - i**2*v - 6*i**2 + i*v + 142*i - 3*v**3 + v wrt v?\nAnswer: 36954*i**2*v - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -3*d. Let y(t) be the first derivative of -7*t**3 + 41. What is u(y(x))?\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 5:58 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 213414 by -106707.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -1. Let q = 2 + j. Suppose -100 = -5*r - q*r. Calculate the least common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -179*v**3 + 7*v**2 + 222*v - 468. Give k(2).\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (-10 + 5)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -15*f**2*v**2 - 2*f**2 + 2*f*v**2 - 92*v**2 - 74*v wrt v.\nAnswer: -30*f**2 + 4*f - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2304de (base 15) in base 2?\nAnswer: 110011000001000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5429 and 275293.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*m - 2*m**2 + m**2 + 16*m - 27*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - -18 - (-9 + -1 + 10 + 12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*g - 10*g = 48. Let d = 877\/104 + -108\/13. What is the nearest to g in -0.3, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -2, -4, -139, -5 in descending order.\nAnswer: 8, -2, -4, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 0*j + 18*j**2 - j**4 + 3*j - 4*j - 181 + 180 in the form p + l*j**2 + s*j**4 + y*j**3 + t*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 14) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 93 divided by 3\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (2 - (-4 - -12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-1\/3))\/(q*q**6*q)*q**(1\/3)*q*(q*q**(-1\/2)*q)\/q*((q\/(q*q**(-2\/27)*q))\/q**(-2\/11))\/(q**(-9)\/((q**(-9)*q*q)\/q)) assuming q is positive.\nAnswer: q**(-2719\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 424*k**3 + 709*k**2 - 709*k**2 + 4 + 2*k**3 - 4 + (3*k**2 - 4*k**2 + 3*k**2)*(4 + 2*k - 4) + 4*k**3 - 2*k**3 - k**3.\nAnswer: 431*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s + 4*z - 60, 3*z + z + 12 = 4*s. Suppose -4*t + s*u + 176 = 4*u, -5*t + 270 = 5*u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 207228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-3))\/(49\/(15288\/16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 685394, 685304, 685214, 685124, 685034, 684944?\n\"Answer: -90*q + 685484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4727? (a) -0.2 (b) 156 (c) 0.9 (d) 3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 103412, 103419, 103430, 103445, 103464?\n\"Answer: 2*g**2 + g + 103409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 118, 135, 152, 163, 162, 143, 100, 27?\n\"Answer: -h**3 + 6*h**2 + 6*h + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of 25*x**8\/336 + x**4 + 5*x**2 - 8*x. Let s(u) be the first derivative of q(u). What is the second derivative of s(d) wrt d?\nAnswer: 500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes after 3:01 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 189 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -14*i + 35. Let g(o) = -66*o - 40. Give t(g(c)).\nAnswer: 924*c + 595","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 70 and 69200.\nAnswer: 484400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/8, -70\/11, 0.1, -4, 0.5, 0.218?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/10 and 59\/89806?\nAnswer: 449030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -182.65 - -178.65. Let h = -4.3 - -4. Which is the nearest to 1\/2? (a) y (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/(-15) + -4 - ((-2532)\/(-36) - 29)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*p**3 - 11*p**3 + 6*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 41269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of -o**5\/20 + 13*o**4\/12 + 7*o**3\/3 - 9*o**2 + 40*o - 2. Calculate u(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2492.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1023232801 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 o be (-4)\/16 + (23\/(-4) - -1). Which is the second biggest value? (a) 1 (b) 6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 419230 is divided by 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 3*c - 2*c - 3, 2*c = 5*s + 6. Let h be 2\/c - 250\/(-3). Suppose b - 831 = -817. Calculate the highest common divisor of b and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25 is divided by (4\/3)\/(183\/(-63) + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.223492 to 4 dps.\nAnswer: -0.2235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 776346 and 30283.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.03 in 596, -3, 0.02, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 6:22 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hd when two letters picked without replacement from dhnd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5960592 divided by 3498.\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49, 42, 35, 28, 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 70 = -2*h, -r - 2*h - 9 = -41. Solve -104 = 33*f - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 2*w + 24. Suppose -112 - w = -5*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17 - 12. Suppose -669 = -3*c - 0*z - 3*z, -2*z + 1112 = s*c. What are the prime factors of c\/(-9)*3\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24251, -24244, -24225, -24188, -24127, -24036, -23909, -23740?\nAnswer: -23523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 259988 - 17387*m**3 + 261022 + 1711*m**3 - 5*m**2 - 519599 wrt m?\nAnswer: -94056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -90.9 + 91.2. Let w = -19 - -19.1. Which is the closest to w? (a) 4\/7 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/2222766 and -73\/398958?\nAnswer: 15559362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 120 and 12495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhwqqwhhqhw. Give prob of sequence hw.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13 - 9. Suppose t - 2*r + 3*r = m, r = 0. Suppose 3*k = 5*a - 34, 0 = 4*a - k + t*k - 11. Solve -15 = h - a*y + 2*y, 5*h + 5*y = 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 10 + 2 = 0. Suppose 0 = -t*l - 3*l - 50. Let p(z) = -27*z - 11. Is p(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -426 times 216?\nAnswer: -92016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*t + 21*t + 877 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 r, and 1 i when three letters picked without replacement from {i: 2, f: 2, r: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -199*i**2 - 3*i - 1. What is h(-1)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 4 = -12. Is 3 a factor of 0 + ((-126)\/j)\/7*-20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32*18\/84 - -7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 362 - 361. Let o = 0.5 - 0.4. What is the biggest value in o, -42, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 z when four letters picked without replacement from {g: 5, a: 4, z: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5613, 44958, 151765, 359766, 702693, 1214278?\nAnswer: 1928253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1105 is divided by 73?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the third derivative of -p**6\/12 + p**4\/24 + p**2. Let f be 1 - (2 - (3 - 1))\/(-1). Calculate r(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000002232 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 AM and 1:49 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3314, 6651, 9990, 13331, 16674, 20019?\nAnswer: 23366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 2*r = 4. Let w = r + -15. Let c = 51 + -65. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -3\/5, -0.1, 2\/9, -0.292 in ascending order.\nAnswer: -3\/5, -0.4, -0.292, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 418*h**2*x**2 + 2*h*x**2 - 9*h + 35*x**2 + 148*x - 1 wrt h.\nAnswer: 836*h*x**2 + 2*x**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 0.05, -70\/3049, -5 in decreasing order.\nAnswer: 0.4, 0.05, -70\/3049, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2577815 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1847998520 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 21.19 - 21. What is the nearest to -1 in 5, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*64\/(-21 + 37)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6761074.\nAnswer: 2, 19, 181, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/10 + (18\/(-10) - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -120 + 12. Let z = 27 - w. Suppose z*s = 2*f - 4*s - 32, 0 = -4*f + 2*s + 76. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 519000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6994\/39)\/(8\/(-12)). Let d = m - -353. What is the smallest common multiple of 6 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand i + i + 2*i + (263 + 31 + 209)*(i + 0*i - 3*i).\nAnswer: -1002*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 94640.19 tonnes to kilograms.\nAnswer: 94640190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 2\/13153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 10 + 17. Let l = 4 + q. What are the prime factors of 265 - (l + 1 + 7)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1679 + 1677. What is the nearest to 1 in 7\/2, 5, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 2*i**2 + 2*i - 417154. Let q(r) = 165*r - 1. Determine q(f(o)).\nAnswer: 330*o**2 + 330*o - 68830411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 2 = 2*t. Let w = 7 + t. Find the third derivative of 4*f**3 - 3*f**w + 3*f**2 + f**3 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, a: 1, l: 4, v: 1, d: 2}. Give prob of picking 1 d and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2516\/476 - (-3)\/(21\/(-2)). Suppose 2*l - 9 = -5*j + 101, q*l - 4*j - 209 = 0. Suppose f - 36 = -2*f. Calculate the remainder when l is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*v - 9*v = -36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/2827 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/11)*n**(2\/9)*n**(-2\/11)*n*n\/(n\/((n\/n**(1\/8))\/n)))**(-2\/23) assuming n is positive.\nAnswer: n**(-581\/9108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 40.30787t in milligrams?\nAnswer: 40307870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 113790 is divided by 3094?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 56338963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -70.56085 - -51.1638. Let l = -19.4 - r. Round l to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17 - 17. Let x(s) = 19*s + 10 + k + 19*s. Is x(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 + 13*j - 16. Let h be f(11). Suppose x - 9 = -3*c - 2*x, 2*c + h = x. Let b(g) = -g**3 - 6*g**2 + g + 6. Let w be b(-6). Is c at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -x**3\/4 + 9*x**2\/4 + 3*x - 5 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 24*425\/(-8250)*((-30)\/4)\/(-3)\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1923 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -4*z**3 - 15*z**2 - 14*z + 4. Let h(n) = n**3 + n**2 + n + 1. Let b(x) = -5*h(x) - m(x). List the prime factors of b(7).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -2*h - 17*h**2 + 19 + 6*h - 24. Let s(v) = -v**2 - v. Let z(k) = 4*s(k) + y(k). Differentiate z(l) wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -6*x + 21. Let z be q(4). Let i(r) = -6*r - 6. Let t be i(z). Solve -5*l = 13 + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 3*z. Let t(q) = -3447874*q**2. Determine t(h(i)).\nAnswer: -31030866*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17*i**4 + 119*i**4 + 3*i**3 - 2 - 22*i**4 + 49*i**4 + 58*i**2 - 3 wrt i?\nAnswer: 3096*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 5*d - 166 = -34, 165 = -5*n + d. Let s = n + 48. Let j = -23628 - -23631. Solve 5*l - j*v = -s, -3*l + 5*v = -0*v + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 897586 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 166*q - 48*q + 26*q**4 + 1 - 124*q - 2*q**4 - q**2 + 2*q**3 to a*q**2 + f + j*q**4 + l*q + y*q**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-5\/8)*u*u**(2\/25)\/u*u*u*(u*u*u\/(u\/(u\/u**(2\/9))))\/u**(-4\/15))**(-24) assuming u is positive.\nAnswer: u**(-9899\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 211 + -208. Suppose -v = -p + 229, v - 434 = -2*p - j*v. Is 61 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -14, 2.\nAnswer: -14, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/1152 and 233\/8190.\nAnswer: 524160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - a**2 + a - 2. Let z be r(0). Let i = z - -4. What is the second derivative of 2*c + 0*c - c**i + 0*c**2 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -79992 or -79970?\nAnswer: -79992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -137.64 + 143. Let j = 0.14 + g. Let v = j + -5. What is the smallest value in 4, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 310 by 5.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 - 60*d**2 - 101*d + 878. Give m(-58).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 90.4*-0.176.\nAnswer: -15.9104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 5119.04s to milliseconds.\nAnswer: 5119040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -14, -0.5, 3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*w - 1066939 = -183097. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 28 - 30.4. Let f = 2 + k. Let v = 79 - 78.6. Which is the second smallest value? (a) f (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 542211 (base 6) to base 8\nAnswer: 127037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 925965 is divided by 739?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1852 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3181, -1\/2, 3, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 5 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**5\/2 - 26*g**4 + 8999*g**3 + 654362*g**2 - 1326669*g\/2 = 0 for g.\nAnswer: -97, 0, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -394*s + 3373 = -961 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 14) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/4*-6 - -8. Let l = 40 + v. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 AM and 4:18 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*2*(-5)\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2194 + 2850. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -a**2*r - 329429*a**2 - 3*a*r - 2*a - 10*r - 43544 with respect to a.\nAnswer: -2*a*r - 658858*a - 3*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2 + (-8)\/2)*(-9)\/189. Determine i, given that 0 - w*i + 2\/7*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 393393070 to the nearest integer?\nAnswer: 19834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 99.0201ml in litres?\nAnswer: 0.0990201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 767700.6ng in milligrams?\nAnswer: 0.7677006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 537, 1061, 1583, 2103, 2621, 3137?\n\"Answer: -h**2 + 527*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 216 divided by -1?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -493959.00840756 + 493959. Let w = 0.0084 + n. Round w to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + 4430304421?\nAnswer: 4430304420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 4 = v + v, 2*k - v = -16. Calculate the common denominator of 15\/56 and 695\/60 - 4\/k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*1952943.\nAnswer: 195294.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10022201212202200011 + -12?\nAnswer: -10022201212202200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 - 18. Let n = 20 + f. Which is the closest to n? (a) 3 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -152 + 83*g + 70*g + 3*g wrt g.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1182*w - 120 = -1152*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 156126099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -143 (base 10) to base 5\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 18 = -0*s. What is the units digit of s - (0\/2)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 + 6*b**2 + 5. Let r be s(-6). Let k = -3 + r. Find h such that -4*h - 1 + 3 + h**2 + k = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 4, g: 5, r: 1, j: 1, y: 1}. What is prob of sequence gyr?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 456\/(-19)*(-222)\/(-592)*1*-3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 4*p = 15. Suppose 2468 = p*u + 4*m, -2*u = -4*u + m + 1660. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/26270844 and 107\/3226244.\nAnswer: 183895908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1422280000 rounded to the nearest 1000000?\nAnswer: -1422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 228*l. Let h(v) = -3*v**2 + 3*v. Calculate h(n(c)).\nAnswer: -155952*c**2 + 684*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 100\/60 - 124\/6. Is (q - -42)\/(1\/7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10503*m + 10709*m + 13003*m.\nAnswer: 34215*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -5178.4 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-26948)\/808440*(-30)\/(-17).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the third derivative of j**4\/8 - j**3\/3 + j**2. Let a(t) = 4*t - 3. Let r(c) = -c + 2. Let p be r(-2). Let m = -8 + p. Give m*a(g) + 6*u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f + 6 + 6*f - 5*f**2 + 4*f**2 + 0*f. What is a(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a. Let i = 4 - 7. Let o be j(i). Suppose -2*q - 5 = -o*q. Solve 4*d + 2 = 5*p - 3, q*d - 15 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j. Let s(t) = -24*t. Determine s(l(i)).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/3033 and 25\/807789?\nAnswer: 2423367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -17216*h + 1008 = -17279*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 14) + 2 + (1 + 2 - -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/14*((-1053)\/78)\/(-27).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-5*sqrt(153)*1)\/(sqrt(9) + (sqrt(9) - sqrt(243)\/sqrt(3))).\nAnswer: -4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z - 10 - 0. Suppose 11 + 15 = 5*h + 2*x, -2*h = z*x - 2. Find the common denominator of (9*h)\/(16\/(-6)) and -53\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 419*q**5 + 5*q**4 - 129*q**3 - 180977*q**2 + 12.\nAnswer: 25140*q**2 + 120*q - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/788 and 7\/16?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k\/(k*k**(-33)\/k)*((k*k\/(k*k**(1\/15)))\/k)\/k)\/(k*k\/k**(2\/71)*k**(1\/2)*k) assuming k is positive.\nAnswer: k**(64883\/2130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 117 - 114. Suppose 0 = -2*i + 7*i - 80. Solve -4*x + 2*x = -3*s - 2, 0 = -h*s - 5*x - i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = z - 7*z + 2*v, 6*z + 5*v = 27 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*r - 12*r = -72 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, m: 1, g: 7, t: 2, z: 4, f: 2}. Give prob of picking 1 f, 1 z, 1 t, and 1 g.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 48234 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60 + 51 - 66*y - 165 + 54.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 3*u - 12, 5*h - 8 = -0*h - u. Let l = 78\/7 - 11. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 2*i + 32. Let y(a) = 69*a**2 - 28*a + 14. Let n(p) = -20*p**2 + 8*p - 4. Let r(z) = 14*n(z) + 4*y(z). Determine r(h(g)).\nAnswer: -16*g**2 - 512*g - 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.67, 4, 26.2?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 43507.97 millennia to years.\nAnswer: 43507970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 268 (b) -5 (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 3 = -9*c. Put c, -4, 1, 2 in decreasing order.\nAnswer: 2, 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000675 rounded to 7 dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 4*s - 18*s - 18*s**2 + 5 - 3 - s + 9 + s**3. What is the remainder when 869 is divided by g(19)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 9 = 2*m - 3, -m - 3*u + 10 = 0. Let g = m - 2. Suppose v + v = 2. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -4*o - 3. Let n be y(-2). Let t(v) = -v - 1. Let f be t(-5). Suppose f*l = -19 - n. Let z(m) = -m**3 - 6*m**2 + 1. What is z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 50.16 + -50.10289. Round m to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 AM and 7:02 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 + 11*t**2 + 19*t + 2. Let q be h(-9). Let y be (-7)\/(q\/4)*(-5)\/(-10). Suppose -3*v - y = -35. What is the least common multiple of v and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 20236.\nAnswer: 5\/20236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 1683602*l**3 + l**2 - l. Let d be u(1). Suppose -3*w + d = -1496398. What is w rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(-2\/11))\/r)\/(r\/((r**(8\/7)\/r)\/r)))\/((r*r**(5\/4))\/r**13) assuming r is positive.\nAnswer: r**(2683\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 + 89*x**2 + 1171*x - 4074. Calculate v(-20).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(6)\/(sqrt(8)\/sqrt(4)) - ((sqrt(12)\/sqrt(4))**2 + sqrt(3))*-5).\nAnswer: 6*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 16 = 4. Suppose 4*a = -5*n + 6, -2*a + 7*a + 5*n = j. Let i(t) = 2*t - 8. Let f be i(a). Solve -u + 5 - 1 = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3 + 6*m**2 + 6*m + 8. Let o be j(7). Let h = -7\/20 + 1\/10. Let c = -40 + 36. What is the closest to -2 in o, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 77 = 2*f - 45, 0 = -3*b - 2*f + 43. What is the remainder when 281 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-28)\/(-8)*(-12)\/28)\/((-358)\/2864)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 143\/588 and -103\/42?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -2, -8*p + 3*p = 5*c - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l + 8. What is j(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 712 + -39158\/55. Let z(v) be the first derivative of 0*v + 0*v**4 - x*v**5 + 0*v**3 + 0*v**2 - 5. Suppose z(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 694*b**2*q**3 + 5*b**2*q**2 - 3654*b**2*q - 17*q**5 wrt q?\nAnswer: 4164*b**2 - 1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (26\/52)\/((15\/(-54))\/(-5)). Suppose 2*b = -4*x + 410, n*x + 2 = 8*x. What is the greatest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13472331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (742\/424 + (-1)\/4)*10\/3. Let y(s) = s**3 - 3 - 10*s**2 + 0*s**3 + 4*s**2 - 4 + 8*s. What is y(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 5*k + 17, -5*u + 2*u - 5*k + 18 = 0. Let f be u\/4 - 9\/(-12). Suppose -f = j + 3. Let x(c) = 3*c + 6. Determine x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -2*b**3\/3 - 196050*b**2 + 392102*b - 588154\/3 = 0.\nAnswer: -294077, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + x + 2 = c, -5*c + 2 = -x. Let q(h) = h**3 + 1. Let p be q(c). Suppose 4*u + 2 = 2*a, -3*a - 5*u + 21 = -2*u. Put 0, p, a in descending order.\nAnswer: a, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3015873 and 2835?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 550, 1096, 1618, 2110, 2566, 2980?\n\"Answer: -c**3 - 6*c**2 + 571*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 520 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -17, 5, -2941\/5, -1\/150?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 + 2*c - 3. Let g be f(-4). Suppose 2*t - g*b - 9 = 4*t, 3*b = -15. Suppose 20 = 4*w + t. Solve -4*r - j - 18 = -3*j, -w*j = r + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 24 (b) -0.9 (c) -55 (d) -1 (e) -0.3 (f) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Do 2202 and 6.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -925680761 + -22701\nAnswer: -925703462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -723 or -4?\nAnswer: -723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {a: 2, c: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 + 24*a - 27. Let p be t(23). Let d(o) = -6*o - 4. Let c(g) = -3*g - 2. Calculate p*d(r) + 7*c(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + -6. Let a(w) = -4*w + 6*w + w**3 - 2*w**3 + 3*w**2. Does 16 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**3 - 10*b**2 + 10*b - 4. Let a be r(9). Suppose -4*m - a*j = -8, -2*j + 5*j = -5*m + 10. Let o(z) = 7*z**2 + z + 2. Does 4 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwqw. What is prob of picking 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -440*g - 23. Let v(u) = -u + 12. Give -2*t(b) - 4*v(b).\nAnswer: 884*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 3281 = -5*o + 3275, 39 = 2*o - k + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 155166, 155119, 155072?\n\"Answer: -47*z + 155213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2. Let d(g) = -3*g - 410. Let k(u) = 70. Let c(y) = d(y) + 6*k(y). What is f(c(b))?\nAnswer: 9*b**2 - 60*b + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - 5*v - 3. Let a be j(-2). Suppose a*n = 2*w - 0*n - 46, 2*w + n = 30. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 + 12*z**2 + 11*z. Let l be n(-11). Suppose 8*j - 4*j - 156 = l. Let d = 31 + j. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**5\/5 + 1164*f**4\/5 + 940*f**3 - 7024*f**2\/5 - 4698*f\/5 + 1172 = 0. What is f?\nAnswer: -5, -1, 1, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, -3, 18, -0.14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 - 6. Let l be g(0). Let f(b) = -15*b + 443. Let u be f(30). Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q**2 - 3*q**2 - 2*q**2)*(0 + q + 0)*(50 - 50 + q).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - 0) + -2 + 5\/1. Suppose -12 = k*l - 7*l. Suppose 271 = l*y - 101. What is y rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3\/2, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 103 = -0*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15776672*o**2*z**3 + 59*o*z**3 - 2861205*o*z**2 wrt o?\nAnswer: -31553344*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 6*a - 15. Let h(s) = 2*s - 5. Let r(i) = 7*h(i) - 2*q(i). Let b be r(7). Let f be (-1)\/(-12) - 3\/b. Sort f, 3\/5, -5 in descending order.\nAnswer: 3\/5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (11 + -11)*(-1)\/2. Suppose -5*b + 5 = 0, 5*b + s = k + 3. What is the least common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -22\/15, 0.1, -2, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d + 1123*d**3 - 565*d**3 + 2*d - 562*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be (6\/9)\/((-2)\/(-9)). Let z = k - 19. Let m = 24 + z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k*k**(-21)*k)*(k\/k**(-2\/13))\/k assuming k is positive.\nAnswer: k**(262\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 6*k**3 + 773*k**2 + 1399*k + 210. Determine y(-127).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 111 + -118. Let l(w) be the second derivative of -w**5\/20 - 2*w**4\/3 - 7*w**3\/6 + 3*w**2\/2 + 320*w. Give l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2026125 rounded to the nearest one hundred?\nAnswer: 2026100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5138 - -5163. Solve -3*h + l = -5*i, 0 = 12*i - 9*i + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 157080 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*z + 5*i + 6, -i + 23 = -5*z. Let a be -5 - -5 - z - -7. Solve -3*u + 2*y - a = 4*y, -5*u = -3*y - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*b + 5*f - 3*f + 13, -5*b - 5*f - 25 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of -s**6\/540 + s**4\/108 + s**2 - 2. Let i(d) be the second derivative of g(d). Factor i(c).\nAnswer: -2*c*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - c - 6 = 0. Let b = c - 3. Suppose -a - 5*k + 44753 + 36222 = b, -2*k - 243010 = -3*a. Round a to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.027038253 to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 - 6 - 22\/(-6). Let q(d) = d**2 - 4*d - 12. Let l be q(6). Suppose 9*i = -l*i - 54. What is the nearest to 0.1 in w, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 - 0. Suppose -u + x*u = -5. Let f(s) = 2*s - 7. Let h be f(u). Solve -h*o - 9 = 0, -5*o + 7 = 3*w + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 789737 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 51, -222, -675, -1308, -2121?\nAnswer: -3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 5*i**4 - 30*i**3 - 260*i**2 - 210*i + 495 = 0. Calculate i.\nAnswer: -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5816540*k**3 + 490*k + 5816541*k**3 - 158*k.\nAnswer: k**3 + 332*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = -a + 25, 42*i + 2*a = 39*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-1)*(-2)\/(-6)*18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/241327 + 358129314\/5550521. Let y = q + -17669\/230. What is the common denominator of y and -11\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 79 - 1186\/15. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-9)*n*n**(-2)*n)**(3\/8))**(-19) assuming n is positive.\nAnswer: n**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/4 or -3607?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -0*m. Let c = 32 - 38. Let v be c\/20*8\/(-6). Does v = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 283 + -283.0836. Let y = a - -0.08. What is y rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 2*d**2 + 3 - 197*d**2 - 140*d**2 in the form i*d + k + f*d**2 and give f.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 249.106 and -0.5?\nAnswer: -124.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 21181 and 360077.\nAnswer: 360077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 17655 and 10.\nAnswer: 35310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 18? (a) -4 (b) -3 (c) -622 (d) -3\/7 (e) 1\/3 (f) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 52518863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4047489 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence npx when three letters picked without replacement from incciucixipniupxici.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (148\/(-36) - -4)\/((-2583)\/216 + 12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -71.70849 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-246)\/(-8) + (144 - 134) + (-43)\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91896 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*a**3 - 4*a + a - 5 - 24789*a**2 + 24790*a**2 to s*a**2 + g*a + m*a**3 + o and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1272499 (base 11) in base 2?\nAnswer: -1000011000111101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.86 - 2.1. Let g = 0.26 + -0.3. Let v = g - q. Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/7*(-497)\/(-213)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3454574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25469455 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {i: 1, b: 1, w: 2, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -39*q - 0*q + 36114. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 divided by 3.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3.09 in -0.1, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/1 + (-18)\/(-1). Suppose -5*g - 2*c - 2*c = -o, -4*g + 2*c - 10 = 0. What is the third biggest value in g, -0.2, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33361620 divided by -5?\nAnswer: -6672324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28131597*x**5 + 96843871*x wrt x.\nAnswer: -562631940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -74\/219 and -2\/38241.\nAnswer: 2791593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h**3 + 54900*h**2 - 150645585*h - 301510810 = 0. What is h?\nAnswer: -2, 5491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c1779b (base 13) to base 16.\nAnswer: -8e53d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/5, -1.3, 4, 2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttvtvrtttvvtt. Give prob of picking 2 v.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 3*c - 292296, 137*g - 194843 = -2*c + 132*g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - 8. Let a = b - -15. Find the common denominator of a and -16\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (35890\/(-210))\/(-37) - 56\/12?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 18\/93101, -5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -2*i - 613. Let v(t) be the third derivative of -t**4\/12 - 2*t**2 + 150. What is v(r(j))?\nAnswer: 4*j + 1226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*k + 4*k. Let j(f) = f + 12. Let t be j(-6). Suppose t*x + r = x + 18, 6 = x - r. Solve x*a = k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8604328 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (4 + -5*5*(1 + -1*sqrt(75)))**2.\nAnswer: -5250*sqrt(3) + 47312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 684 and 6.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p\/(p\/(p**(1\/7)\/p))))**(-5\/4)\/(p**(-7)*p**(-9)) assuming p is positive.\nAnswer: p**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2568, 2566, 2564, 2562, 2560, 2558?\n\"Answer: -2*x + 2570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-3 + 0 + 4)*(7 + 5 - 5) - 2 - 4 + 3 + (-3 + 1 + 4)*(0 - 4 + 3) - 78 - 15 + 5)*(3*i + 0*i - 5*i) to the form l + a*i and give a.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.3 - -0.3. Let f = -3048 + 3047. Put -7, f, h in descending order.\nAnswer: h, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from hyhhrxhryxyhxhh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 7349659 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:15 AM and 8:20 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5255651, 5255688, 5255725, 5255762, 5255799, 5255836?\nAnswer: 5255873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*t**2 - 27*t**2 - t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 402323421 + -4?\nAnswer: 402323413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1133 and 245256.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -17 - -3420427749.2?\nAnswer: 3420427732.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.4 - 3. Let z be ((-560)\/(-25))\/7 - (4 - 1). Let y be (4\/51)\/((-8)\/(-12)). Which is the third smallest value? (a) y (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4040 is divided by 91?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (64\/2)\/4*(-80)\/300*(-35)\/(-112).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*l = -5*l - 283 - 287. Calculate the remainder when 75 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*b - 692 + 644 = -9*b. Suppose 3*n = -43 + 421. What is the smallest common multiple of b and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 3*w. What is the units digit of q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -3976*k**3 + 14*k**2 + 7*k - 1285. Let x(y) = -1987*y**3 + 6*y**2 + 3*y - 642. Let h(s) = 3*t(s) - 7*x(s). What is the derivative of h(a) wrt a?\nAnswer: 5943*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 2*g**2 + 7*g - 3. What are the prime factors of x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171) - (sqrt(171) + sqrt(171)*-1 + sqrt(171))*6)\/sqrt(9).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -1) + (4 - 2) + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 8710.33 centuries?\nAnswer: 87103.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 95500.75ml to litres.\nAnswer: 95.50075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -36, -55, -78, -105?\n\"Answer: -2*a**2 - 13*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f + 781 = -36*f - 736 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -67*g - 305 - 231 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000047082 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of -47.02 and -2.266.\nAnswer: 106.54732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5818 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -89 - 87 - 3989*s + 176 - 11390*s to the form c*s + l and give c.\nAnswer: -15379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 2583505 * -44.\nAnswer: -113674220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 - -145?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 2. Let h be (7 + -9)\/(329\/(-94)). Which is the smallest value? (a) g (b) 12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -937941 divided by -30.\nAnswer: 312647\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 11297358 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, q: 7, f: 3, i: 2}. Give prob of sequence ff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 at least -961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 136 = 4*g, -5*g + h + 82 + 76 = 0. Calculate the remainder when 95 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 4, 0, -8912, -274 in decreasing order.\nAnswer: 4, 1, 0, -274, -8912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2*((28 - 57) + 23)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 2.2598?\nAnswer: 0.67794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-29141)\/(-21) + -14 + (-2)\/3?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-12)*(-5076)\/(-470)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/26*1378\/(-795).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23 + 44 + 1911*h - 1910*h + 41.\nAnswer: h + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/((2\/(-66))\/((-4)\/(-12))). Suppose -r*y = -18*y + 84. Calculate the highest common divisor of y and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7496647.7 minus -0.2?\nAnswer: 7496647.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 5, w: 7, f: 1, b: 6}. Give prob of sequence eeww.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lqq when three letters picked without replacement from {l: 1, q: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eieeieeeeiiiieieii. What is prob of sequence ei?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -65354 (base 11) to base 5.\nAnswer: -11014143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by -82?\nAnswer: 9\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 2 + (-6 - -2) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*v**5 + 139*v**3 + 3*v + 24 wrt v.\nAnswer: -40*v**3 + 834*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 20 = 0, -6 - 23 = 4*z - 5*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + -3. Let k be 1\/(-5) + 0\/n. Let r = -19.5 + 19.3. Is r smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 2*w + w + 10 = 0, -5*f - 30 = 5*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-7)*w*(w\/(w\/w**3*w))\/w)**(-1\/35)\/(((w**(2\/7)\/w)\/(((w**(-2\/9)*w)\/w)\/w))\/((w*w*w\/w**0*w*w)\/w)**(-42)) assuming w is positive.\nAnswer: w**(-10607\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**3 - 4*u**3 + u**3)*(4 + 6 + 0).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8143 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 113635.\nAnswer: 5, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22985 + -252833\/11. Determine o so that 0*o + 4\/11*o**5 + 0 + h*o**3 - 6\/11*o**4 + 0*o**2 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 841 + -836. Suppose 0 = q + u + 3 + 6, -q + 3 = -2*u. Sort d, 9, q in descending order.\nAnswer: 9, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -90 + 114. Let s = -55 + 91. Calculate the highest common factor of s and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00361377024 to seven decimal places.\nAnswer: 0.0036138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 127691*z. Let p(l) = 403*l**2. Give p(j(v)).\nAnswer: 6570911566843*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 67242 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w*(w*w*w**(-1\/4))\/w)**(-2\/83)\/((w*w**(-1\/11))\/(w\/w**(4\/3))) assuming w is positive.\nAnswer: w**(-7301\/5478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -48 - -40. Let r(m) = -m**3 - 7*m**2 + 2. Let s be r(w). Suppose -t - 2 = -s. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 + 21*p**2 + 23*p + 58. Let v be h(-20). Sort 0, 6, 5, v in descending order.\nAnswer: 6, 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 34921 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k\/((k*((k**(-1\/4)*k)\/k)\/k)\/k)*k))**(-41)*((k*k**(9\/2)\/k)\/k)\/(k\/((k*k*k\/(k\/(k*k\/k**(-9)))*k*k*k)\/k)) assuming k is positive.\nAnswer: k**(603\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + 4 = 5*t, -5*l - 24 = -373*t + 372*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 26*n. Let q(r) be the second derivative of -3*r**3\/2 - 203*r**2 + 145*r. Let k be q(-45). Give d(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 3*y = -2, -7*y = 2*r - 3*y - 32. Let h be (4\/(-6))\/((-5)\/90). Solve -r*f + h = 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than -63\/3917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 474 and 192297.\nAnswer: 30382926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 218*r**5 - 28*r**3 + 232*r**2 + 56*r + 28. Let m(z) = -z**3 + 2*z + 1. Let y(p) = 84*m(p) - 3*w(p). Find the third derivative of y(i) wrt i.\nAnswer: -39240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2092510 is divided by 689.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-165)\/(-275) + (-174)\/315\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 3 and -9822.73.\nAnswer: -9819.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 18 = g. Let k(z) = -18*z - 7. Let v be k(g). Calculate the remainder when 73 is divided by v\/(-6) - (-2)\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-1))\/((-14)\/(-175)). Let l = -29 - r. Let v be l + 5 - 1*-3. Solve -3*f + 3*b + 3 = 0, 3*f - 1 = b - v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -178 less than 0.1618178?\nAnswer: 178.1618178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32800 - -32839. Solve 385 = 38*f + h*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*s = 4286 - 634. Let y = s + -162. Solve 0*f - 4*f + 5 = -n, -f = -2*n + y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fwwwwbwwwbwwww. What is prob of picking 1 f, 1 w, and 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 13*v**2 + 25*v**2 + 25*v**2 + 1 - 5*v + 6*v + 6*v**3 - 96*v**2 + 34*v**2. Let k = 3 + -2. Let j(r) = -r**3 + r**2 + r + 1. Calculate k*j(t) - s(t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(245) - (1 + sqrt(245))) + -2 - sqrt(245))**2 + 5 + -1 + sqrt(245)) - (sqrt(245) + sqrt(245) + -2 + 0 + sqrt(245) + sqrt(245) + 3 + 5)**2.\nAnswer: -4214 - 385*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4854 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30133534, -30133536, -30133538, -30133540, -30133542, -30133544?\nAnswer: -30133546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83 - 59. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(-9)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cosxtycy. What is prob of sequence ys?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 3151 divided by 1\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 0*j - 37 - 18*j - j**2 + 41 - 4 = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/(-3) - 7\/21*9\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from klvvnkokoooo. What is prob of picking 1 l, 1 v, and 2 o?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8679427 decades in months?\nAnswer: 104.153124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(2\/3))**(-3\/26)*(i\/i**4)**(-2\/11) assuming i is positive.\nAnswer: i**(67\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8808.979 centuries in decades?\nAnswer: 88089.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/(8\/10) + 0\/4. Suppose -i*o = -4*y - 233 + 26, -3*o = -2*y - 123. What is the highest common divisor of 273 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20352\/11 + -1850. Let -2\/11*p - 4\/11*p**2 - v*p**3 + 0 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*(0 + (-5 - 4)). What is the units digit of (-1)\/(3 - (-24)\/f) - -362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 983960963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-2 - (-3 + 1)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*n + 38000 = 37*n - 51*n. What is the remainder when n is divided by 81?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-6)\/k)**(-44) assuming k is positive.\nAnswer: k**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1716 and 980408.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -73.384167 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -43*m**2 + 42557*m - 29668. Give v(989).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v + 10. Let x be l(8). Put -4\/5, x, -2 in increasing order.\nAnswer: -2, -4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 47 = 4*l - 103, -l + 44 = 4*n. Suppose 19*i = 15*i - l. Is -7 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 617 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: Let f(t) = -2*t**2. Let l(h) be the second derivative of 11*h**4\/12 + h. Give l(f(n)).\nAnswer: 44*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 143995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 255704797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 5*m + 6, 0 = -3*u + 7*u - 4*m. Suppose 4*n = 13 + 19. Put u, -2, 4, n in increasing order.\nAnswer: -2, u, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11934790 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 3*a = -17, -2*u - a + 4 = -u. Let k be -2 + 3 + -3 - 3. What is the least common multiple of (-43)\/k + (-6)\/(-15) and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -372, 3, -3\/4 in decreasing order.\nAnswer: 3, -3\/4, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**2 + 4*m - 4. Let z be r(2). Suppose 2*o + 2 = z. Suppose q = 5*q - o*t - 190, -4*q - 2*t + 176 = 0. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2371, -2547, -2723, -2899, -3075, -3251?\nAnswer: -3427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-21)\/(-28)*(-2 - 2). Let k be 1 - m\/(-3) - 1. Sort -2, 2, k in increasing order.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 798198 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1053, -3515, -7599, -13299, -20609, -29523, -40035, -52139?\n\"Answer: v**3 - 817*v**2 - 18*v - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 8, g: 6, u: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 16 (base 12) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9563 is divided by 302.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8274 + -8096. Which is bigger: 173 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, u: 4, o: 1, s: 1, f: 2, x: 7}. Give prob of picking 1 u, 1 o, and 1 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together 65439 and -28.3841.\nAnswer: 65410.6159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 8*s**3 + 9*s**2 + 10*s - 7. Let i(n) = -7*n**3 - 8*n**2 - 9*n + 6. Suppose 0 = -3*w + 7*w + 28. Let g(a) = w*i(a) - 6*j(a). What is g(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-4\/7)\/(p*p\/(p\/p**(-1\/10))))\/((p*p*p**(-5))\/p*(p**3\/p)\/p))**(8\/3) assuming p is positive.\nAnswer: p**(428\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -2*m**2 - 13*m + 4. Let y(z) = z**2 + 12*z - 3. Let i(l) = -3*k(l) - 4*y(l). Let d be (2\/5)\/(4\/60). What is the tens digit of i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of -y**6\/10 - 9*y**5\/20 - y**4\/2 + 2*y. Factor f(m).\nAnswer: -3*m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -5, -0.1, 0, 3, -0.03202, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 + 3*d + 3. Let m(a) = 2*a**3 - 3*a**2 - 3*a - 2. Let i be m(3). Suppose j + 4*c = i, -2*c + 3*c - 25 = 5*j. What is the units digit of l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k - 117 + 34 - 2*k.\nAnswer: -k - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11827709.00000025 - -11827712. Let f = 11 - 8. Let r = n - f. Round r to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 4*s + 15 = 0, 0 = 5*s + 14 + 1. Let y(w) = 9*w + 9. Let h be y(8). What is the highest common divisor of d and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6469 - -6469. Let x(h) be the second derivative of g - 64\/3*h**2 + 32*h - 1\/18*h**4 - 16\/9*h**3. Factor x(b).\nAnswer: -2*(b + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -133014123 (base 5) in base 2?\nAnswer: -10100100010100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1b54 + 590?\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c + c + c)*(-2 - 4 + 0).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5300\/7 bigger than 758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, c: 4, w: 1}. Give prob of sequence pc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4117547 and 26110.\nAnswer: 2611","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oee when three letters picked without replacement from oeeeoeeeeoooooeooeee?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**3 - 282*h**2 - 6567*h + 14238.\nAnswer: 3*(h - 113)*(h - 2)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 419984?\nAnswer: 2, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -178409.143 - -178335. Let k = 74 + g. Round k to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 493633 and 42166.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 105100 rounded to the nearest 1000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 + 15*a**2 + 4*a + 10. What is the tens digit of c(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -125*s - 2925. What is the remainder when z(-26) is divided by 97?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31889029?\nAnswer: 179, 178151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 176*t - 223*t - 4*p - 102, 4*t - p + 154 = 7*t + 162 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 368*m**3 - 1 - 220*m - 367*m**3 - 201*m - 213*m to the form r*m**2 + l*m**3 + t + a*m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -1. Let h be 1 - ((-3 - a) + -1). Is 8 a factor of 1 + (-3)\/(h\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**2 + 16*d - 20. Let x = -505 - -511. Let a be 51\/2*(32\/x)\/(-8). Calculate g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 + 2004*z + 513815. Determine m(-230).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34473, -69390, -104755, -140568, -176829?\nAnswer: -213538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 9243 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 + g**2 + 1. Let s(w) = -2*w**3 - 5*w**2 - 9. Let u(r) = -s(r) - 5*y(r). What is the derivative of u(q) wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 28 + 92. Let n(d) = 3*d**3 - 41*d**2 + 130*d + 18. Calculate the least common multiple of n(9) and t.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8786 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 19, 38, 63, 94?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3228.84378 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-10)\/4 + (-1)\/(-2). Let s = w - -11. Let v = -958 + 975. Calculate the remainder when v is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140301107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + 3 + 6\/(-1 - -4). Let f(k) = -k**3 + 8*k**2 - 2*k + 3. Give f(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9778952 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**2. Let b(h) = -111*h. Give z(b(k)).\nAnswer: -24642*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 5*d - 30 = 0, -d = 4*y + 10 - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, j: 5, k: 1, z: 6}. Give prob of picking 3 w and 1 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 230 - 169. Suppose -3*s = -2*b - 85, -u - 44 = -5*s - 4*b. Solve 5*w + s = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*f - 10 + 10 = 0. Sort 3, 5, 20, f in ascending order.\nAnswer: f, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 93484*b**2*q**2 - 35*q**2 + 33*q - 17 wrt b?\nAnswer: 186968*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (0 + 0 + -2) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 9:39 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 31695 and 8445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 102388836 and 20532?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5350.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (3 - (-6 - -9)) + (9 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22 - 4 + 6)*(-b + 3*b - b)*(3*b - 4*b + 2*b) - b**2 - 2*b + 2*b.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1280291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16424\/21 - 782. Let o = 1.6 + -1.4. Which is the closest to -1? (a) 3 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.45 and 0.30835?\nAnswer: 0.75835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 475 is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + (-147)\/(-56))*84\/18.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -5*i + 14. Let c(z) = -26*z + 69. Let j(h) = 2*c(h) - 11*n(h). Let u be j(12). Solve 2*p = -3*p + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 90030 and 530?\nAnswer: 4771590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*s**3 + 17*s**3 + 8*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 359 is divided by 56\/616 + (-1230)\/(-22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 8378*k + 590. Let a = -22 + -273. Let n(p) = -57*p - 4. Let y(t) = a*n(t) - 2*d(t). Let z(w) = 2*w**2. Give z(y(u)).\nAnswer: 6962*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zrzzzrr. What is prob of picking 3 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 3*i - 1 = 7*p, p + 7 = -3*i. Suppose -3*g - 4*z = -p*z - 141, 2*z - 92 = -2*g. What is the remainder when g is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4 and 209353.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 + 2. Let l be s(0). What is the third derivative of 3*k**2 + 2*k**l - 6*k**2 - 2*k**3 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1199851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 8 = 2*s, 6*i = 4*s + 4*i - 4. Let b = 0.4 - -0.1. Let j = -0.04 + -2.96. Put j, s, b in increasing order.\nAnswer: j, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(512))**2.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, i: 3, r: 3, t: 3, q: 4, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 65 + 73. Let z = -94 + v. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*u - u**5 + 10*u - 112*u**3 - 23 - 27*u wrt u?\nAnswer: -20*u**3 - 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -24866.59 * -0.68\nAnswer: 16909.2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (-9 + 1)*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 883 = -g, 0 = -4*g + 4 + 4. Suppose 2*x - 125 = -v, -3*x - 6*v = -v - j. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) -0.1 (c) -3 (d) -0.5 (e) 8 (f) -3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 42514728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -6*l**2 + 17686*l - 1005606. Calculate j(58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4115 a factor of 664133167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 166 a factor of 3369384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be 52\/(-12) + 2\/(-3). Suppose -2*y = -2*k + 16, -2*k + k + 7 = -2*y. Let i = k + p. Solve 4 + 4 = -i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 6*s + 43. Let b(p) = -p - 3. Let j be b(s). Determine n so that j*n**4 + n**2 + 2*n**2 + 8*n**2 - 2*n**2 - 12*n**3 + 12*n - 12 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -2*r + 6, 3*r - 11 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20270938 is divided by 2620.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 78*r - 5. Is a(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11072 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (11*(-657)\/(-803))\/((-1)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 3*v**5 - 396*v**4 + 11193*v**3 - 36444*v**2 - 775116*v - 1308480 = 0.\nAnswer: -5, -2, 16, 29, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 130 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + 2 + (1 - -1). Suppose 1 = t - v. Solve -2*w + 8 = -3*p - 4*w, -p + t = -w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 106 + 54113?\nAnswer: 54222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 110111101100010100100 (base 2) to base 9.\nAnswer: 3381302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 128*i**2 + 375*i - 18. Calculate y(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -59718288, -119436587, -179154886, -238873185, -298591484?\nAnswer: -358309783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 192\/11 at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -16*y + 851. What is b(62)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34 divided by -9761.\nAnswer: -34\/9761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 - ((21 + -25 - 19) + 0).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33978 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 75\/37481146 and 45\/1532.\nAnswer: 74962292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 28\/9 - 2\/18. Solve -2*w = -v*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2415 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 367200912.\nAnswer: 2, 3, 13, 588463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000012617 rounded to 7 decimal places?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 1227 divide 14674920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101101 - -1110000101?\nAnswer: 1101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is c in 6*c**5\/7 + 417*c**4\/7 + 207*c**3\/7 = 0?\nAnswer: -69, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -111\/380 and -41\/220.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/7)*(z\/((z**(-3\/2)\/z)\/z)*z*z*z)\/z*z)\/((z*z**17\/z)\/(z**3\/z)) assuming z is positive.\nAnswer: z**(-107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00063304 to five dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -m**2\/12 + 67759*m\/12 - 4530875\/6 = 0.\nAnswer: 134, 67625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 8 - 4 - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 + f**2 + f - 1. Let o(c) = c**2 + 13*c + 2. Let l be o(-13). Let r(k) = 5 - 4*k**3 - 13*k**2 + 25*k**l - 16*k**2. Calculate 5*a(z) + r(z).\nAnswer: z**3 + z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**3 - 4*x**2 - 8*x. Let z be g(6). Let r(m) = -34*m**2 - 19*m + 2. Let l be r(3). Let h = l + 417. Calculate the highest common factor of h and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (s**2 + 0*s**2 + 0*s**2)*(s**2 + 2*s**2 - 7*s**2).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -4*q - 2*f, -4*f - 11 = -4*q + 21. Suppose -w = -b - 17, 0 = q*b - b + 4. Calculate the least common multiple of 3 + 4\/(4\/7) and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 w when four letters picked without replacement from {a: 9, w: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132836 is divided by 66336.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n - 23. Let g be a(14). Suppose g = -5*x - o, 2*x = -2*x + 2*o + 10. Suppose x = -0*l + l + 3*h - 776, -2 = 2*h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-39)\/(-156)*(-4)\/(-3)*-57?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + (-1 + 2)*138. What is the tens digit of ((-8)\/10)\/((-6)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i. Let j(z) = 44*z + 6. Let k(g) = g - 1. Let y be 2 - (-6 - -7) - -3. Let q(u) = y*k(u) + j(u). Calculate q(r(f)).\nAnswer: 96*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 3:01 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -86 = 35*x + 54 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = t - 41. Which is the fourth biggest value? (a) -0.4 (b) 5\/3 (c) t (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -432144 (base 5) to base 11.\nAnswer: -10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5270 greater than or equal to 5415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*q + 4*l = 21*q + 22, 2*q + 2 = 2*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2205)*-3.\nAnswer: -63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 45755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 468 a factor of 2764376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -19*q**2 - 41*q - 11. Let y be m(-6). Let k = y - -607. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92064110 rounded to the nearest one million?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 33*z - 46*z - 57*z to the form o + b*z and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 95812224 and 4071?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -73, -125, -5, -1.\nAnswer: -125, -73, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 18*n - 15*n. Let c be 4 + n + 1 + 14. Let j be -5*(0 + -1 - 0). Calculate the greatest common divisor of j and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.015532569 to five decimal places.\nAnswer: 0.01553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11695206671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11419 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 41112010 + 52?\nAnswer: 41112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 - 3\/((-24)\/1552). Calculate the greatest common divisor of 28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 5 = -3*k, 0 = b - k - 3. Suppose -s - 2*s = -9. What is the third derivative of -z**3 + 6*z**3 - 2*z**b - s*z**3 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 8 = 3*b + 5*w, 3*w = -3. Let t(j) be the second derivative of j**5\/20 + j**4\/4 - j**2 - j. What are the prime factors of t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -9*(-4 - -6 - 3). Let d(n) = n**2 - n. Let c be d(2). Suppose 0 = 3*v - c*v. Solve 5*l + 11 + g = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 12) + 10 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 240*t**2 - 30*t - 52*t - 15*t**4 - 184*t**3 - 18*t - 4*t**5 + 63*t**4 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -2*p - 1. Let u(r) = 46*r - 2. Give 3*k(j) - u(j).\nAnswer: -52*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 - 8*g + 14. Let z be (12 - 3)*(4 + -3). List the prime factors of a(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 35797.0487 + -35795. Let x = -0.0487 + m. Which is the smallest value? (a) -0.1 (b) -0.2 (c) -4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-3))\/((-130)\/(-468)*68\/5)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (12 - 9)*6*-1. Let l = m - -35. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 4:34 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(11)*2 - (-1 + sqrt(11)*-1))**2 - ((sqrt(11) - sqrt(99)\/sqrt(9)*-1) + 5).\nAnswer: 16*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1928, -1921, -1902, -1865, -1804, -1713?\n\"Answer: m**3 - 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 14698486.8 to the nearest one hundred thousand.\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 2*s**2 - 43*s + 1. What is the remainder when y(8) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31634, -31826, -32048, -32312, -32630, -33014?\nAnswer: -33476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 - p**2 + 73*p - 130. Let s be d(2). Let k(o) = o**3 + o**2 - 9*o + 13. Calculate k(s).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 4*t - 152. Suppose 56 = 2*k - 5*l, 0*k + t = k - 4*l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 16 + 2 + 93268\/14. What is the highest common factor of b and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.2773 + 0.0343. Let q = 0.093 + k. What is q rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2271122 is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2184 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1519597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 1436*g + 107692. Calculate j(-75).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -10*g - 12. Let z be k(-5). Suppose -2*f - 4*m + 4 + z = 0, -3*m - 117 = -4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41925859?\nAnswer: 17, 467, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20862 is divided by 745.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 2*d**2 + 2*d + 1. Let h be p(2). Let y = 88.6437 - 88.7. Let i = -0.4563 - y. Sort 2, h, i, -2.\nAnswer: -2, i, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 220, 2491, -5, -1 in decreasing order.\nAnswer: 2491, 220, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**2 + 17814282*g + 26445720264627.\nAnswer: 3*(g + 2969047)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbcc when four letters picked without replacement from bcccbcccbccbcbcbcbc.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6*a*q**3*v**2 + 2*a*q*v**2 - 38*a - 41*q**3*v**2 + 3*q**3 with respect to a.\nAnswer: 6*q**3*v**2 + 2*q*v**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10642, 85008, 286872, 679984, 1328094, 2294952, 3644308?\nAnswer: 5439912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (11*21\/77)\/(3\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -14*r**2 + 28*r - 3. Let s(h) = -41*h**2 + 84*h - 8. Let n(p) = 11*i(p) - 4*s(p). What is the units digit of n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 539638609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1\/7 - (-15)\/42)*6. Let i(d) = -d + 1. Let a be i(-2). Let j be 0\/((-1)\/1)*-1. Solve j*t - a = -h*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43471892 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -2.9. Suppose -54*l + 30*l = -120. Let q = -0.07 + 0.37. Which is the nearest to h? (a) l (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 2, p: 3, o: 3}. Give prob of picking 2 p and 2 q.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 92, -1\/3, 2.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -83674680 divided by 34\nAnswer: -2461020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 3*p**3 + 21*p**2 + 63*p - 22. Let k(w) = 8*w**3 + 63*w**2 + 188*w - 78. Let a(i) = -7*f(i) + 2*k(i). What is the second derivative of a(h) wrt h?\nAnswer: -30*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.30351509 take away -0.49539?\nAnswer: 1.79890509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 6*n - 4 = 0. Suppose 3*y - 4*y + n = 3*v, 20 = -4*y. What is the greatest common divisor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1895 - 1895.3. Sort 1\/4, a, -2\/9, -4.4 in increasing order.\nAnswer: -4.4, a, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - -9 - (-3)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.28s to microseconds.\nAnswer: 8280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 18 (base 15) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-32))\/(6\/4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 2*c + 3. Let n(v) = v + 23 + 25 - 45. What is 2*h(m) - 3*n(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.44 and 5.02.\nAnswer: 6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 1 - 1)*(-6*w - 6*w - 62*w - 26*w)*(-8 - 10*w**2 + 8).\nAnswer: -7000*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -9. Suppose a = -3*i + 3*s - 7*s - 17, -4*i = 2*s + 6. Suppose -d + 2*d = i. Let k(c) = -c. Determine k(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -33*u**3 - 27*u**2 - 3*u + 1. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6571936817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 86329*m**4 + 431639*m**3 + 690602*m**2 + 345268*m - 24 = 0. What is m?\nAnswer: -2, -1, 6\/86329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 53412 - -21?\nAnswer: 53433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 243 - 240. Let a(r) = r**3 - 2*r**2 - r - 3. Let w be a(m). Solve w*c - 24 = -9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -c**4 + 17*c**3 + 338*c**2 + 1500*c + 1800 = 0. Calculate c.\nAnswer: -6, -5, -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 45252 + 45235 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 27.1 + -27.144. What is w rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/(-10))\/(2485\/(-825) - -3). Let n(h) = -4*h**3 - 64*h**2 + j*h**2 + 467 - 2*h + h + 3*h**3. Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*m + 192 + 138 = 0. Let y be (-2)\/4 - 7\/(-2). What is the third derivative of -m*n**2 - 64*n + 64*n - 4*n**y wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 27*v**3 + 4*v**2 + 4*v - 4. Let p be (1\/((-10)\/252))\/(28\/70). Let h(z) = 432*z**3 + 63*z**2 + 63*z - 63. Calculate p*q(f) + 4*h(f).\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4425649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + 4*c = 0. Let d be (-676)\/(-12) + 1\/(-3). Suppose -2*r - r + d = -4*v, c = -r + 2*v + 20. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2949, -2958, -2973, -2994, -3021, -3054, -3093?\nAnswer: -3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2, -1, -0.013, -3?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.95504 grams?\nAnswer: 955040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -8735.4 times 7\nAnswer: -61147.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*t - 37 - 8*t**2 - 7*t**2 + 5*t**4 + 47 + 5*t**3.\nAnswer: 5*(t - 1)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/249 and 28\/465.\nAnswer: 38595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 95703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from pjijiopoijiopp.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 - (1 - 253\/33)\/(10\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 5:39 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/237446 and -71\/44.\nAnswer: 474892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + (-11234)\/(-30620))*12. Let n = r + -4\/1531. Calculate the common denominator of (2 - -22)\/(49\/14) and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 92 divide 11437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**2. Let m(z) be the second derivative of -z**3\/6 + z**2\/2 - 25*z. Let q(j) = -24*j - 1. Let x(a) = 3*m(a) + 3*q(a). Give x(i(n)).\nAnswer: -150*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -35*z + 55*z - 31*z to m*z + a and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -5*t + 4*t - 1, -d - 7 = -2*t. Solve -c = -4, 5*c = -t*k + 2*k + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 40 by 232.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 2*s - 18, 5*i + 0*s = 3*s + 30. Let n be 0 - (-4)\/(3\/(9\/i)). Solve -n*c + 15 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -35 - -60. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + i + 18631 = 0, 0*x + 3*x = -3*i + 11193. Suppose 0 = 5*s + f + 4*f - 6205, 3*s + f = x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70*c - 1288 = 205 - 23. Let v = -22 - 2. Are v and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -45\/29071124 and 139\/3624.\nAnswer: 174426744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 12) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((224\/228)\/(-7))\/(216\/(-54)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.8 + -0.8. Let m = -0.2525 - 0.2475. What is the nearest to r in m, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -94938*c**2*g**2 + 257339*c**2 - 60*c*g**2 - 27*c wrt g.\nAnswer: -189876*c**2*g - 120*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12764*o + 32*o**3 - 70*o**3 + 37*o**3.\nAnswer: -o**3 + 12764*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - 27c9d?\nAnswer: -27ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 2*q = 3*q + 15, 0 = 4*q. What is the second smallest value in 0.22, v, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.06 + -0.36. Let d = 0.2 + i. Let b = 1.3 + 3.7. What is the nearest to d in 4\/3, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 2*d - 396. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -34*i + 2253. Let q be m(53). Calculate the highest common factor of 41 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-88)\/6)\/((15\/(-27))\/5). Suppose -d = -4*l + 4*o, 4*o + 50 = 2*l - 10. Calculate the smallest common multiple of l and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 5. Let c be l*((-2)\/5)\/1. Solve c*q + 10 = 0, -3*q + 0*q = g + 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3061458638*q + 3061458625*q - 6122917261*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 4463 (base 10) to base 2.\nAnswer: 1000101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes after 4:26 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 203 + 15 = -2*t. Let l = 144 + t. Let n = l + -13. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 4. Suppose m - 21 - 36 = 2*n, n + 26 = s*m. Let w = n + 55. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000072160286 to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 3*m. Let u(j) = 701*j - 263. Let b(f) = 2*f - 53. Let s(a) = -5*b(a) + u(a). Give s(g(h)).\nAnswer: 2073*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/(-4) - 1)*6 - 39. Let o be (7\/(l\/57))\/((-2)\/(-8)). Let a = -31 - o. What is the greatest common factor of 28 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - k + 4 = 0, -2*k = -3*s - 7 - 1. Suppose s = 5*g - 4 - 171. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -141, -216, -341, -516, -741, -1016, -1341?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12729 - -12729.00008297. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6055803 is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 427946 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: What is next in 1216, 4705, 10530, 18691?\nAnswer: 29188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -22*d + 23 - 23 in the form m*d + i and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 - 8*t + 4. Let r be z(-8). Let w(m) = m - r*m + 2*m. Let n(k) = -2*k. What is n(w(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4093668786?\nAnswer: 2, 3, 3119, 218749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -685062*b**3 + 3572632 wrt b.\nAnswer: -2055186*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -2*g + 5 + 1 - 3 + 21*g**2 - 2. Let t be m(1). Suppose 0 = -y + 5 + t. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f - 67 = 32*u - 30*u + 42, 2*u - 41 = 4*f + 39 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3*(-2)\/12*-8. Are -1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27560*w = -27560*w + 5*q + 20, -2*w + 190 = -45*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 484, -0.5, 2\/25, -1\/4?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 1334992?\nAnswer: -1\/1334992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-15)\/(-10)*(1 + 1). Suppose -2*b - o + 13 = 0. Let j be (b + -6)\/(1\/(-3)). Solve -2*s + j = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/(8\/(-268)))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9980.\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4098 divided by -683.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 21 = -4*m, t + 12 = 3*m + 2*t. Let w = m - -20. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 220131.\nAnswer: 3, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -20.691 + -2060788.57.\nAnswer: -2060809.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes before 1:15 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t - 4, u - 4*t + 0*t - 13 = 0. Suppose 0 = -3*q + j - 2, u*q + 0*j + 4 = 2*j. Sort 4, 1\/5, q in increasing order.\nAnswer: q, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, 1, 0.3, 1.1, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3480101 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -l**2\/2 - 436053*l\/2 - 436051 = 0.\nAnswer: -436051, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: -12888 divided by -3222\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -2*u**2\/11 - 72718376*u\/11 - 660995276009672\/11 = 0.\nAnswer: -18179594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 59*k*l**4 + 4*k + l**4 + 2*l**2 wrt l.\nAnswer: 1416*k*l + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 6*y - 3 + (-2*y + 0*y + 3*y)*(18 - 23 - 14).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zms when three letters picked without replacement from {s: 1, w: 1, b: 1, z: 2, m: 1, u: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -223 - -23035?\nAnswer: 22412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x**2 - 2*x**2 + 3*x**2)*(-4 + 1 - 10) + 2*x**2 + 2*x**2 - 2*x**2 + (4 + 9*x - 4)*(-8 + 8 + 3*x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 - -3. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1*(1 - (-20 + 2)). Let r be (-3)\/9 + k\/39. Let j = 496\/15 + -167\/5. Which is the nearest to 2\/7? (a) -0.3 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p*p**16)**(-5\/8)*(p*p*p**(3\/4)*p*p*p)**(15\/4) assuming p is positive.\nAnswer: p**(155\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 31, -1 in ascending order.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -86351 to the nearest one hundred.\nAnswer: -86400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 5\/4 + 17\/8*m + 3\/8*m**2 = 0.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*3\/12*-6 + 21. Suppose 9*w - 15*w + r = 0. Is (-290 - 1)*w\/(-12) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 1835?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3316611860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4110 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) 3 (c) 5.54 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 15 = 70. Let p(z) = b*z + 51*z - 110*z. Let i(t) = t**2. Give i(p(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3176)\/1485)\/(-4) - (-64)\/(-160). Let s = -16\/27 - f. Which is the nearest to -0.1? (a) 2\/11 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 157679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = w - 101, -3*d + 30 = w - 47. Suppose 9*i - d = 6*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*o = 123 + 141. List the prime factors of 8*(-1)\/(o\/927).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6189 (base 16) in base 11?\nAnswer: -1783a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = -5*d - r + 1, 0 = d + 2*r + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 113*c + 109*c - 18 + 108*c - 664 - 326*c.\nAnswer: 4*c - 682","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-11) + (-138)\/33. Let g(s) = -6*s**2 - 11*s - 5. Let x(r) = 5*r**2 + 10*r + 4. Give p*g(b) - 5*x(b).\nAnswer: -b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 3049, 5768, 8487?\n\"Answer: 2719*b + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12b22 (base 13) in base 10?\nAnswer: -34842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 AM and 5:37 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14\/5*(-1)\/(-2). Let o = k - 11\/15. What is the nearest to o in -4, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -7*k + 582. What is the hundreds digit of c(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39975, -81403, -122829, -164253?\nAnswer: -205675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -84741975*f**2*p**3 + f**2*p**2 - 111*f*p**2 + p**5 + 375*p + 267 wrt p.\nAnswer: -508451850*f**2 + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - t - 4 = t, 3*t = l - 6. Let b = l + 0. Suppose -7*g + 3*g + 12 = b. Solve g*n - 20 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*s - 10*s = -75. Let t = 86 + s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28942 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.053 and 56.8?\nAnswer: 3.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -22*q + 7*q + 7*q + 8*q + 11*q**2. Let f(m) = m + 2*m - 2*m**2 - 3*m. Determine t(f(r)).\nAnswer: 44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/4, -0.03281, -3\/10?\nAnswer: -0.03281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 - 4*s**2 - 4*s + 7. Let r be z(6). Suppose 2*g = -10, 0*i - g + r = 4*i. Suppose 0 = -x + 3 + 1. Solve w = 5*k - i, -x*w + 1 = -k + 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2750941.\nAnswer: 331, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*z + 58 = 32 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the second derivative of t**8\/1680 - t**6\/60 + t**5\/15 + 8*t**4\/3 - 29*t. Let f(h) be the third derivative of s(h). Solve f(b) = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**3 + 416*r**2 + 4*r - 416.\nAnswer: -4*(r - 104)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - -2. Is b\/5*(1 - -48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**2 - 9*a + 2. Let z be r(10). Let s be 1\/(0 + 3\/z). Factor -p**2 - p**3 - 2*p**2 + 3*p**2 + p**s.\nAnswer: p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -2. Calculate the remainder when (1*6 + -2)\/y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 18 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 + 2)*(-48 - 196 - 47)*(21 - 7*i - 21).\nAnswer: -4074*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3540.0224 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-282)\/(-329) - (-9)\/14. Determine h so that -3\/2 + 3\/2*h**2 - 3\/2*h**3 + l*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 20 = 6. Let s = c + 7. Suppose -s = -9*l + 76. Calculate the remainder when 27 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-2*sqrt(420))\/sqrt(12))\/((2*sqrt(70)*1)\/sqrt(10)) + 5.\nAnswer: -4*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 166993 is divided by 166841?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5950 - -109?\nAnswer: -5842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (57\/1140)\/(7\/10).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2478 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be -35*(-6)\/150 + 3\/5. Let y(w) be the third derivative of 0*w + 0 - t*w**2 + 3\/20*w**5 + 0*w**3 - 1\/12*w**4. Factor y(x).\nAnswer: x*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 44625780 and 28.\nAnswer: 312380460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3436, 3423, 3410, 3397, 3384, 3371?\nAnswer: 3358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -30 times 2.05?\nAnswer: -61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(2\/5)*t)**19*t**(2\/15)\/t*(t\/(t**3\/t)*t*t)\/t)**(-1\/11))**(-1\/59) assuming t is positive.\nAnswer: t**(386\/9735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1717346*h**2 + 18*h - 1717349*h**2 - 18*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -104.4 - -104.5. Which is the fourth smallest value? (a) 0.15 (b) l (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l**(-1\/2)*l)\/l)**(-11))**1*((l**(2\/11)*l)\/(l\/l**(-1)))\/((l**0\/l)\/l)**(4\/13) assuming l is positive.\nAnswer: l**(-1631\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -42583.71 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p**(-13\/4))**(-3\/2) assuming p is positive.\nAnswer: p**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26 and 420286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -21 + -26?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4.70336 years in centuries?\nAnswer: 0.0470336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.284765*-56\nAnswer: 15.94684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 723023068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:35 PM and 6:57 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3.10501394 - -0.1\nAnswer: -3.00501394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 8 = -d + 3*d, 0 = 5*d - 5. Let c be 21*1 - (n + -4). Let s = c + -15. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x + 3*x - 3*v + 1035, 3*x + 4*v = -1544. Let h be (-22)\/(-143) + x\/(-26). What is the tens digit of (-12)\/(-10)*650\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -11693\/6 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115*v + 10*v + 1523280 = 6576155. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 3*g - 2213. Let w(l) = 10*l**2. Give w(u(q)).\nAnswer: 90*q**2 - 132780*q + 48973690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -w**4 - 954*w**3 - 78*w**2 - 2150001*w + 1 wrt w.\nAnswer: -12*w**2 - 5724*w - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1730 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -73*h - 2784. Give w(-38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*k = -12*k - 180. Suppose 0 = -k*p + 2*p + 2940. Calculate the remainder when p is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -363*v + r = 2183, -5*r - 5 = -7*v + 4*v - 48 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 304796\/10*(10\/(-8) + 1). Suppose -j - 12508 = -4897. Let u = f - j. Calculate the common denominator of u and -44\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -67 - (8 - -17) - -58.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, q: 1, v: 1, p: 3, e: 1}. What is prob of sequence cp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-62 - -21 - (-16 - 8)) - 117\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 110 - (-52 - -194 - 10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 860*n**4 + 905*n**3 + 45*n**2.\nAnswer: 5*n**2*(n + 1)*(172*n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 221023113 (base 4) to base 2\nAnswer: 101001001011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -10 (b) 0.34 (c) -274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51566984?\nAnswer: 2, 7, 17, 54167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**2 - g. Let p(v) = 8*v**2 + 10*v. Give 40*i(q) + 4*p(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from syllslsllysyysyyyy. What is prob of sequence sl?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 1 - k - 11*k**2 - 6 as r*k**2 + x*k + g and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55 and 624825.\nAnswer: 6873075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.98 - 0.02. Let n = 3.699619 - -0.300381. Which is the biggest value? (a) -213 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, -2\/7, 11, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v + 3*i + 8, v = 4*i - 7 - 4. Suppose 0 = -g - 4*j + 21, 3*g - 3 + 25 = v*j. Which is the nearest to 27? (a) g (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2387)\/(-3410) - (-38)\/(-20) - (-466)\/5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 57403 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -2*m**2 + 4*m - 2. Suppose -12*t - 6 = -15*t. Calculate w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4113672\/1975 or 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = -3*x - 7*j - 5, 5*j = x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**7\/y*y*y*y*y**(-4)*y)**(-13\/6)\/((y*y**(1\/3)\/y*y)**(-2\/19)\/(y\/y**(1\/4))**(1\/37)) assuming y is positive.\nAnswer: y**(-108313\/8436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 374, 419, 464, 509?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 10:39 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*k*t**2*w**3 - 63693*k*t*w**3 + 6757*t**2 + 3*t*w**2 - 6*w**3 wrt k?\nAnswer: -2*t**2*w**3 - 63693*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 501078 (base 11) to base 15\nAnswer: 10e031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1 (b) -3 (c) -0.02 (d) 1\/8482 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3381\/(-345) - (-6 + -5)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5475 or 5712?\nAnswer: 5475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1399 - 387. Suppose -p = -l + 2321. Suppose 3*c - l + 582 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*a = 822 - 782 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12803 + 12803 - 13*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 e, 1 j, and 1 k when four letters picked without replacement from jukkeeumeuet?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 2*t + 1 + 27 + t**3 to the form s*t**2 + c + d*t**3 + k*t and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1153849.\nAnswer: 1153849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 + -0.2. Let m = -1254 - -2115. Let i = m - 861.1. What is the nearest to d in i, 0, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3043 - -3775. Calculate the highest common divisor of a and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 45.76 and 114.59172.\nAnswer: 160.35172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1265\/50)\/(-23)*-2)\/(((-9)\/(-15))\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-32)\/(-5))\/(16002\/(-5715)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -15 - 30.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -3*p**2. Let n(y) = -5*y + 6. Let z(c) = -9*c + 11. Let u(m) = 11*n(m) - 6*z(m). Determine u(a(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/2*(-16)\/(-228). Let l = -4.8 + 0.8. Let v = -32 - -33. Which is the third smallest value? (a) v (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1419357 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add -0.327 and -0.4.\nAnswer: -0.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 2*a + 40, 24 = 4*t + a - 118. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -2*i**2 + 13*i**2 + 0*i + 2*i - 5*i + 13. Let r(k) = -6*k**2 + 2*k - 7. Determine -4*m(t) - 7*r(t).\nAnswer: -2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 87\/4 of a kilogram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -451568, -901791, -1352014?\n\"Answer: -450223*w - 1345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -31*d**2 - 3. Let j(r) = -579*r + 1. Give j(k(x)).\nAnswer: 17949*x**2 + 1738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, n: 3, e: 8, i: 3, s: 2}. What is prob of sequence as?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - 0 - (15 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:41 PM and 11:58 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-27))\/(34\/(-51)*(-3)\/54).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 7514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 411 and 11?\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 5*j - 25 = 0, -20 - 14 = 2*u + 2*j. Let n = 17 + u. Suppose -n*h = -0*h - 16. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -691*v*w**2 - 5*v*w + 7849*v - 4*w**2 + 46*w - 35597 wrt w.\nAnswer: -1382*v*w - 5*v - 8*w + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -11, 3, -2\/418471?\nAnswer: -2\/418471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.06 + -0.061. Let x = 3.999 - k. Sort 0.4, 0, -3, x.\nAnswer: -3, 0, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 + (-8)\/6)\/(2\/(-6)). Solve -g + q*g = 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -7041, -14088, -21135, -28182, -35229?\n\"Answer: -7047*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -26*y**2 - 3*y + 3. Let w(s) = 108*s**2 + 13*s - 12. Give -9*a(g) - 2*w(g).\nAnswer: 18*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4058 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8330 - 688?\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*4\/(-2)*(-32)\/(-64).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 11640742 from 2.427626.\nAnswer: -11640739.572374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 1764*a**3 - 51492*a**2 + 9760*a - 464 = 0.\nAnswer: 2\/21, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from wiwywwwyyi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48\/360*135*2\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**3 - 6. Suppose -39 = -9*v + 6. Let w(i) = 5. What is v*n(h) + 6*w(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*x + 6 - 6 + (2*x + 3*x - 3*x)*(-3 + 1 + 1))*(-2 + 3 + 0).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 291410.\nAnswer: 2, 5, 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -4*f**3 + f**2 - 9*f + 13. Suppose -s - 2 = -2*r - 0, -3*s + 14 = 4*r. Let g(l) = -l**3 - 2*l + 3. Give s*p(y) - 9*g(y).\nAnswer: y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -1687840 by 274.\nAnswer: -6160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 25*d**3*h + 2*d**2*h*w - 7*d*w + 556*h*w + h - 1 with respect to d.\nAnswer: 75*d**2*h + 4*d*h*w - 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 + 4*v**2 + 5*v + 5. Let b = -127 + 59. Let i = -63 - b. Give o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2 + sqrt(17)) + 2 + 1*(1 + sqrt(68)).\nAnswer: 11 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(((sqrt(832) + sqrt(832)*3)*-6 + sqrt(832))*-4 - 6*(-1 + sqrt(832) + sqrt(832) - sqrt(832))*3))**2*6.\nAnswer: 1150848*sqrt(13) + 246043224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -33 - -65. Calculate the remainder when 125 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(25\/18))\/(2*2\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2055, 125 in increasing order.\nAnswer: -4, 125, 2055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 2*w**2 + w - 7. Let k(y) = -y**2 + 6. Let j be k(3). Let t be i(j). Let d = t + -150\/19. Which is the closest to d? (a) 1 (b) 1\/5 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1647 - -5a?\nAnswer: -15a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 239*z - 380*z + 619*z + 4*z**2 + 3.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 900 a factor of 135141866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 - 5. Let u be t\/(-6) - (-118)\/6. Suppose -4*b = -u, 0*s + 3*s - b - 34 = 0. Calculate the remainder when 24 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2633262373?\nAnswer: 7, 47, 1193, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2\/9, 30, 0.5 in ascending order.\nAnswer: 2\/9, 0.5, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 662298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add 1909856761 and 0.4.\nAnswer: 1909856761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/146280 and 11\/302312.\nAnswer: 4534680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-10)*w)\/w**(-17\/5) assuming w is positive.\nAnswer: w**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 205732099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*v**3 - 64663*v**2 - 11*v - 3953035?\nAnswer: -6*v**2 - 129326*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iillyilll. Give prob of sequence iy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 4*x = -x + 3641, 0 = 3*k + 3*x - 10935. Suppose k = d + d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 339 a factor of 5619603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2787 + -2787. Solve 3*h + 5*q - 28 = v, -4*h - 3*q - 21 = -8*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**2. Let u(i) = 133*i + 14306. Give u(l(r)).\nAnswer: -133*r**2 + 14306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 2350.807 millilitres?\nAnswer: 2.350807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 2*v + 4*s = 151, 4*v = 2*s + 126. What is the remainder when 122 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3170 + 3170.06. Let z be -1 - (0 - 0)\/2. Which is the third biggest value? (a) z (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 1436.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -0.06 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 3:25 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 4*d - 5*d. Calculate the greatest common divisor of 275 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (32\/(-40))\/(6\/(-45)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - 0.5. Let z = y - -0.49992. What is z rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 959*d - 335*d = -586*d + 9680 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 14 + 8 + 4 + -18\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - ((-24 - -2) + 13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 18787862\/7*n**3 + 54000\/7 + 1139400\/7*n + 8013780\/7*n**2.\nAnswer: 2*(211*n + 30)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 2*j + 2. Let q be w(-3). Let n(z) = 2*z - 1. Let v(c) = -2*c + 2. Let b = -512 + 509. Give b*v(y) + q*n(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -6304 divided by 8?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-6*(sqrt(396)*-4)\/sqrt(4).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 3*b = -9, -4*f - 4*b + 26 = -6*b. Let t(r) = -r**3 + 5*r**2 + 5*r + 4. Let u be t(f). Let h = 10 + -6. What is the nearest to 2 in h, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 50*g. Let s(d) = -10*d. Let n = -276 - -287. Give n*s(v) + 2*m(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n - 26 = 52. Let s(c) = c**3 + 59*c**2 - c - 2. Calculate the remainder when s(-59) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 68*o**2 - 10*o - 5. Let j(x) = 67*x**2 - 8*x - 4. What is -5*j(p) + 4*t(p)?\nAnswer: -63*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 295\/(-207) + -27*13\/2691?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (85\/55)\/((-33)\/(15246\/(-42)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4\/9, 0.8, 1, -24?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -5 + 0 - 13 + 4*z - 3*z. Let l be w(21). Suppose 2697 = l*x - 0*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 24244238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 111 - 107. What is the units digit of -2 + (3 - -4) + l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 14 = 4*l. Let h = -20 - l. Let k = h + 17. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 4, -348, -0.5, 2\/11, -1\/3 in ascending order.\nAnswer: -348, -0.5, -1\/3, 2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -64, -132, -200, -268?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.02 - -0.32. Let r = -376 - -1129\/3. Let i = -11 - -7. Which is the nearest to r? (a) g (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7764*l - 7758*l = 516. Calculate the remainder when 999 is divided by l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - y**2 - 4 - y - y**2 + y + (-y + 3*y + 0*y)*(-2*y - 2*y + 3*y) + 0 - y**2 + 0 + (-1 - 2*y**2 + 1)*(3 + 1 - 5) - 2*y**2 + y - y + 0*y - y**2 + 0*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -21327.6362 minus -0.149?\nAnswer: -21327.4872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 897 a factor of 173454319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wow when three letters picked without replacement from hototvwhhwft?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*s = -328*s - s + 3070 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/51*14\/(-6174)*-49.\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -8 + 2 - 4 - g. Let h(o) = o + 9. Suppose 99*m + 73 + 316 = -205. Suppose -7*b - 38 = -3. Determine b*a(w) + m*h(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, -3, 11866, -1?\nAnswer: 11866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-38)*-2*(-684)\/(-144).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-11)\/(-6)*444\/74\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 924612 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do -906011 and -906007 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -5*19865654\nAnswer: -99328270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssisiiiiisiisiii. Give prob of sequence ss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - 2. Suppose -4*d = m + 5, 0*m - m - 3*d - 4 = p. Is m greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*h**4\/7 - 918*h**3\/7 + 404*h**2 - 2448*h\/7 + 512\/7 = 0.\nAnswer: 4\/13, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 180*m - 24. Let j(b) = -36*b + 5. Calculate -14*j(a) - 3*n(a).\nAnswer: -36*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express ((3*u + 0*u - u)*(-3 + 0 + 0) - 4*u - 5 + 5)*(1 + 2 - 6) as t*u + x and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f - 8. Let r(k) = -6*k + 40. Let w(t) = -16*m(t) - 3*r(t). Let c(o) = -o - 5. Let h(b) = -5*c(b) - 2*w(b). What is h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + (3*44)\/2. Let s = -3 + 29. What is the greatest common factor of s and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = -7 + 37. Let u(j) = -j**2. Let f(o) = 8*o**2. Let v(m) = b*u(m) + f(m). Let t(y) = 14*y**2. Determine v(t(s)).\nAnswer: -392*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*w**3 + 83*w**3 - 26*w**3 - 26*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.05 + 8.05. Let w = f - 7.3. Let x = 0.536 + -0.236. Which is the nearest to w? (a) 1\/4 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2778, 22243, 75070, 177939, 347530, 600523, 953598, 1423435?\n\"Answer: 2780*q**3 + q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.04 in 0.55, 1\/4, -4, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (10\/(-175)*-2)\/(6\/(-7)). Sort -0.1, x, 1, -0.3 in descending order.\nAnswer: 1, -0.1, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:15 PM and 11:52 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**2\/3 + 1404675*p + 21070000\/3.\nAnswer: 5*(p + 5)*(p + 842800)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.4 - -3.9. Let p(k) = k + 2. Let z be p(0). What is the nearest to -1 in 0, o, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17618204?\nAnswer: 2, 4404551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5135 - 14?\nAnswer: -5152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 1326*t - 1370*t - 176 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -3.091317711 to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 127294*8736\nAnswer: 1112040384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -249924 + 249924 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d + 12 - 259 = -25*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -7078.9836 to the nearest ten.\nAnswer: -7080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*z + 2. Let s be (-3)\/(-2)*(0 + z). Suppose b - s - 8 = 0. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88314637.\nAnswer: 691, 127807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 1324567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/2*8\/(-6). Let l(k) = 2*k**2 + 2*k + 2. Let m(w) = -10*w**2 - 11*w - 11. Let g(s) = i*m(s) - 11*l(s). Let x(a) = -a. Determine g(x(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 108, 537, 1232, 2325, 3948, 6233, 9312?\n\"Answer: 22*s**3 + s**2 + 272*s - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -924*s - 20 = -920*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 - -0.1. Let g = -0.1 - p. Let a = 855\/4 + -214. What is the nearest to g in 2, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-1)\/l*l)**(3\/17))**19 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-34)\/(-119))\/((-30)\/(-14)). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.7365 less than -5?\nAnswer: -2.2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -63 - -59. Let o be (-2 - -2) + 3\/6*y. Let v(f) = -6*f**3 + 2*f**2 + 2*f. Let i(m) = m**3 + m**2 + m. What is o*i(l) + v(l)?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 - (1 + 1)) + (77 - 109 - -79).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the first derivative of 2*z**3\/3 + 3*z**2\/2 - 3*z - 2. Let l = -23 - -25. Give b(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -17 and -0.4?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from {a: 3, l: 10, h: 2, v: 4}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 63 + -10432?\nAnswer: -10336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 6*g - 23. Let c(y) = -2*y**3 - 11*y**2 - 6*y - 1. Let d be c(-5). Suppose -2*l + 4*l - 2 = d*p, -4*p = -3*l + g. Solve -l + 18 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 144 - 108. Calculate the least common multiple of 28 and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = 4*g - 10, -11*g + 6*g + 5*l + 35 = 0. Which is the third smallest value? (a) g (b) 2\/3 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31962607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 476*o + 680 = 991*o - 481*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -201*g**3 - g**2 + 18*g - 6. Let j(i) = -200*i**3 + 15*i - 5. What is -6*j(m) + 5*q(m)?\nAnswer: 195*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 8571 (base 9) to base 8.\nAnswer: 14235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w*w**(-8)*w**(-5)*(w\/((w*(w**1*w)\/w)\/w))**(1\/9) assuming w is positive.\nAnswer: w**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 - 9*a**2 - 8*a + 10. Let q be t(-7). Is q\/(-16) + (155 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/15*3\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -24 (c) 12\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 + 18 + -37 + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (7\/3 + 2\/(-6))*124. Let r = -61 + i. Calculate the highest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(350)*-2*6)\/(sqrt(175)*-1))\/(sqrt(10) + sqrt(10) + 2*sqrt(10)*-1 - (sqrt(10) - sqrt(30)\/sqrt(147))))**2.\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m**2 + 804*m - 16874. Calculate l(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 25, -l = -x + 2*x + 3. Suppose 6*r - 32 = -h + 2*r, 3*h - x*r - 40 = 0. What is the highest common factor of 56 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**2 + 7*u - 4. Let x be v(5). Let b be (-1230)\/(-2255) + ((-16)\/(-11) - 0). Suppose 2*q - 13 = -3*m, m - x = b*q + 1. Solve m*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m = 755 - 516. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -5*l - 3*b, 3*b = 3*l + 5*b. Suppose 0 = 2*y + l*y - 8. What is the third derivative of -12*h**4 - 13*h**2 + y*h**2 - 5*h**2 wrt h?\nAnswer: -288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two fifths of a decade in months?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -226 + 162. What is the greatest common factor of 1152 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32867, -65633, -98399, -131165, -163931?\nAnswer: -196697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 173*t + 40 = 74*t + 79*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*h + 81 = 21. Let n be 1 + (-2)\/h*6. Suppose 2*a = -m + 88, 5*a - 398 = -n*m - 49. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 29.2086 - 29.74. Let i = 0.49 + h. What is i rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of v**7\/735 + 89*v**6\/420 + 129*v**5\/14 - 675*v**4\/28 - 298*v**2. Factor n(w).\nAnswer: 2*w*(w - 1)*(w + 45)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 5*o - 5*q + 13, q = -4*o. Suppose 3*w + 1 = 4. Let c = o + w. Is c < -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*q - 5*b, 4*b - 5*b = 5*q - 6. Let z(a) = 0*a + 2*a**q + 3 + 7*a + a - 2*a. What are the prime factors of z(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + ((sqrt(405) + 2)*-3 + 1)*-6*5)**2.\nAnswer: 239760*sqrt(5) + 3302404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4408\/(-190))\/58)\/((-680)\/(-25)).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14429\/8 - -1814. Calculate the common denominator of (-74)\/16 + (-2)\/(-8) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2171*q + 34842. Suppose o + u + 12 = 32, -3*o = 2*u - 59. Suppose 0 = 3*m - 62 - o. What is the remainder when d(-16) is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + (7 - (4 + -7 - -11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2726 - 2332. Sort 1, 0, -4, f in ascending order.\nAnswer: -4, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -79 less than -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 68317, 273312, 614969, 1093288, 1708269, 2459912, 3348217?\nAnswer: 4373184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 4 = a. Suppose -3*g + 3*f + 54 - 3 = 0, 0 = 3*g + 3*f - 21. Let k be g\/(-60)*(-5)\/(-2). What is the closest to -2\/9 in 4, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = t + 32. Let r = t + 119. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/1842 and -19\/1609191?\nAnswer: 988043274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 23*k + 18 - 163 - 16 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -114207 to the nearest one hundred.\nAnswer: -114200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168541 is divided by 5952.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 2*r - 128, 3*z + 3*r = 4*r + 180. Let h be 523\/(-9) - 1*3\/(-27). Let g = h + z. Solve -g*x + 6 = -6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 574410 or 574412?\nAnswer: 574410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 + 7*m**2 - 7*m + 10. Let z be d(6). Which is the third smallest value? (a) z (b) -2.9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 28, -408, -844, -1280, -1716, -2152?\n\"Answer: -436*s + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/9? (a) -16 (b) 3\/5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*r + 4977406 = 0, 2*x - 5*r - 9954810 = -2*x. Let n(d) = 3644350*d. Let h be n(2). Let z = x - h. What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -3455404.87 and 62.179.\nAnswer: -3455342.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 3 = p. Suppose 5*s + p*h + 1104 = 0, 822 = -4*s - h - 63. Is (-6)\/(-4)*s\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(7\/2)\/v)\/(v**22*v*v) assuming v is positive.\nAnswer: v**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-19968)\/(-18928)*754\/87?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.19, 1\/8, -4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d + 2. Let o be (-4 - (0 + -4))*1 - -1. Let i(r) = -r - 2. Let l(n) = -9*n - 12. Let f(x) = o*l(x) - 3*i(x). Determine -2*f(w) - 7*s(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 140669 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/9 - (-475)\/(-17). Let j be 3 + (-650)\/21 - (-6)\/21. Let u = x - j. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3837, 1\/4, -2, -1\/2 in increasing order.\nAnswer: -3837, -2, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -15672 + 5?\nAnswer: -15667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 plus -68045?\nAnswer: -68044.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5046889.\nAnswer: 349, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 5*t + 44. Let d be j(-8). Suppose 910 = 11*m - d*m. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the third derivative of -f**4\/24 + 9*f**3\/2 + 9*f**2. What is the remainder when h(-13) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/5 and 107\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**3 - 36*d**2 + 312*d + 24. Give v(20).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of -z**2 - 10*z + 2. Let l be o(-7). Let 0*b**3 + 0*b**3 + 2*b**2 + 2*b**l - 4*b**3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.63 in 3, 2\/9, -3, -148?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 3*k - 540 = 0. Suppose -g = 2*g - k. Let a be 25\/20 - 67*(-2)\/8. What is the greatest common factor of a and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-55)\/(-330))\/((-3)\/6*3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2\/5, 0.4, 5, -16, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*t - 15 = -d, 0 = 3*d + 5*t + 24 + 19 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 17*q + 2019. Let b be o(0). Suppose 7*j - b = 2013. What is the highest common divisor of 72 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 52 = -23*d + 24*d, -3*d + 3*n = -102. Solve d*g + 16 = 44*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 4*h - 478 = 0. Suppose -h - 1882 = -5*x. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2762223599?\nAnswer: 8941, 308939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 - 4\/(-3))*(-1116)\/992. Put f, -0.8, 8 in descending order.\nAnswer: 8, -0.8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -6 - -4 - (3 + 1). Let u(r) = -2*r**3 - 17*r**2 + 12*r - 9. Let t(q) = q**3 + 9*q**2 - 6*q + 5. Let s(i) = 7*t(i) + 4*u(i). Determine s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 10}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 127\/20232 and -37\/45522?\nAnswer: 182088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2405 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -478ba (base 13) in base 7?\nAnswer: -1054204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/1389 and -43\/356250.\nAnswer: 164943750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-1\/18)*f**16)\/((f*f**(-5\/2))\/f**(-6)))**(-48) assuming f is positive.\nAnswer: f**(-1648\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 28700722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -29 + 31. Let l(c) = 9 + 51*c**2 - 26*c**r - 24*c**2 + 6*c. Is l(-11) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, -4, -22456, 2, 0 in descending order.\nAnswer: 2, 1, 0, -1, -4, -22456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -12001*r - 4. Let o be z(-4). What is o rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 195 + -295. Let i be (-9)\/(-21) - j\/28. Let v(o) = -o**3 + 5*o**2 - o + 2. What is v(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 1 - (-1 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -6*h**2 - 16 + 18*h + 1\/2*h**3 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*c = 28*c + 19*c + 80 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -158343*r**4 - 138204.\nAnswer: -633372*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 420\/56*(-4)\/(-10). Let u(g) = -g**3 + 3*g**2 + 4*g - 8. Let q be u(o). What is the closest to 1 in q, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -56 - -60. Suppose -4*r - 1 = -5*r. Sort -1, r, -3, x.\nAnswer: -3, -1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26 - 17. Suppose -2*o = o + d - q, 2*d = -5*o + 14. Suppose -48 = v - o*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 784.1372 millilitres to litres.\nAnswer: 0.7841372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2559, -2556, -2553, -2550, -2547, -2544?\n\"Answer: 3*t - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 85 = -k - 30*l, -365 = -k - 4*l - 372 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide (-17)\/((-4 - -6)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 i, 1 e, and 1 h when four letters picked without replacement from {o: 3, u: 2, h: 3, e: 7, i: 4}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11021 - -11076. What is the greatest common divisor of x and 4015?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2791*a + 33 = -3*o + 2800*a, -2*a = -5*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -8073?\nAnswer: -4\/8073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5 - -67) + (-1 + -2 - 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 4*q - 0*q + 92, 5*q - 29 = -m. Calculate the remainder when m is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 15489600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 114254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9126 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 978 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -182*j**2 + 71*j**2 + 102*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -737.85 to the nearest integer.\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 7437976 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 4514 (base 7) to base 10.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 - -15. Suppose -f + 505 = r*f. Suppose 2*h = 3*n - f, 0*h + h = n - 32. Calculate the common denominator of n and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 357 - 357. Is (n - 3)*24950\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 62 - 19. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of c**6\/480 + 169*c**5\/20 + 28561*c**4\/2 + 38614472*c**3\/3 + 977*c**2. Determine b so that h(b) = 0.\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - t - 909, -5*t = 2*a + 2*a - 3600. Let d = -1333 + a. Is (-6)\/15 - d\/20 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-780344)\/975430)\/((-3)\/(-5)*2\/(-162))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(833) + -3 + sqrt(17)).\nAnswer: -9 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.00124119 - 0.09274813. Let p = y + 0.094. What is p rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1419777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 0*v + 24 = -3*f, 14 = 2*f - 4*v. Suppose -462 = -4*q - 2*h, 6*q = 7*q + 3*h - 113. What are the prime factors of q\/8 + f\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*n*s**4 + n*s**2 - 2*n*s - 188*s**5 - 142*s**2 + 29*s wrt s?\nAnswer: 72*n*s - 11280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 10*t**2 + 145*t - 71. What is a(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 139635311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 4*k**2 + 12*k + 16. Let q(r) = 21*r**2 + 60*r + 80. Let j(x) = -11*d(x) + 2*q(x). Factor j(a).\nAnswer: -2*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 7 + 5256*m + 202*m**2 + 5254*m - 10510*m.\nAnswer: 202*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1038910 + 1521561. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176220 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1ded (base 15) in base 14?\nAnswer: 253d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001998187598 rounded to 7 decimal places?\nAnswer: -0.0001998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*a - 181 = 78 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -608*m - 31*m**2 + 102*m**2 + 608*m.\nAnswer: 71*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -61518 and -61519 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (41 - (918\/51 + 84)) + 0 + 12?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 + q**2 - 2*q + 39. Let g(b) = -b**3 + b**2 - b. What is c(t) - 2*g(t)?\nAnswer: 3*t**3 - t**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 70 + -71 + (-1 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of -n**4\/12 + n**3 + 3*n**2\/2 + 2*n. What is the remainder when 31 is divided by t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -731*90\/(-20655)*27?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 5*a - 20 = 0. Find the first derivative of 18 + a*o - o - 24 wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ajaaaaaajjjaaaajaj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 36 - 52. Let p = 129 - a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y**2 - 11*y + 3. Does 12 divide h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35847)\/(-10242)*(-4)\/(-2282).\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2732 + -15611?\nAnswer: -12657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 7, 10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + i = -0*i - 1, -i + 5 = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9880985 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12808784 to the nearest integer?\nAnswer: 3579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -6 * 34594\nAnswer: -207564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 12:46 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 86400 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: -188*-146229\nAnswer: 27491052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -557695, -557767, -557949, -558295, -558859, -559695?\n\"Answer: -9*w**3 - w**2 - 6*w - 557679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 10, 2\/5, 8, -1\/7, -3\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**2 - 10*i + 1. Let u be a(-7). Suppose 5*z = r + 333, z + 5*r - u = 29. Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 38*z**2 + 36*z - 18 - z**3 + 0*z**3 + 2*z**3 + 0. Let x be r(-37). Solve 5*g + 14 = x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 925118128 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 2 d when four letters picked without replacement from dmmdmdgddmgggddd?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/432)\/(4\/(-24)*3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 2:48 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 24769, 49535, 74269, 98947, 123545, 148039, 172405?\n\"Answer: -4*d**3 + 8*d**2 + 24770*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122 + 83 + 867 + 6*n**2.\nAnswer: 6*n**2 + 1072","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27839, -27836, -27823, -27794, -27743, -27664, -27551, -27398?\nAnswer: -27199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.60188 minus 132.37?\nAnswer: -132.97188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 - 5. Let b be 1\/(-4) - s\/(-8). Solve 3*f = -0*n + n + 15, b = 5*f + 3*n - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 8:21 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -716 + 716. Suppose 2*o - 7*o + 4*y + 1246 = c, 5*o + 4*y - 1254 = 0. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 129577488 divided by -12?\nAnswer: -10798124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4256897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -50871840*b**2 + 48479991*b?\nAnswer: -101743680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9211 is divided by 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1725665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9178 + 9181. Solve 4*q + 11 = 5*s + 2, y*s - 4*q - 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -11417*f**3*r**2 - 4*f**3 + 37162*f**2*r**2 - r**2 wrt f?\nAnswer: -68502*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 42, -40, 0.1, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - v - 1)*(v**3 - 2*v**3 + 2*v**3) + (6*v - 5*v - 2 + 0*v)*(2*v**3 - 3*v**3 + 0*v**3).\nAnswer: -2*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -2 - 10. Let d be (-3 + 1)*-1 + (-3 - p). What is the second derivative of 8*j - 23*j - 63*j**2 + 76*j**d wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1051069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 422771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*l + 8. Suppose 132 = l*t + t. Is (-3*t)\/(-1 - 0) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -4. Let w(n) = n + 1. Let f be w(-3). Is z*(-3)\/f - -16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 15, v: 5}. Give prob of picking 2 v and 1 t.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1406011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6354217.\nAnswer: 6354217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*h, 0*q + 5*q + 3*h - 58 = 0. Suppose -4*f - 5 - q = 0. Let m be f\/10*(-5)\/(-6). Sort -3, m, 0.5 in increasing order.\nAnswer: -3, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 8*q**2 + 11*q + 58. Let v(w) = 113*w - 22*w - 45*w - 3*w**2 - 50*w - 19. Determine -4*d(p) - 11*v(p).\nAnswer: p**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 2*x - 29 = 0, -2*l + 2*x + 42 = 6. Calculate the greatest common factor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -7*r**2 - 146*r + 3. Let l(c) = -20*c**2 - 417*c + 9. Let b(a) = -6*l(a) + 17*q(a). Let k(f) = -2*f**2 - 59*f + 8. Determine 8*b(j) + 3*k(j).\nAnswer: 2*j**2 - 17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.47 (b) -0.4 (c) 2 (d) -28.9 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1299, 2350, 3399, 4446, 5491, 6534, 7575?\nAnswer: 8614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000002879672 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67 - 62 + 129 - 5*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be 40192\/2355*(81\/(-12))\/(-3). Which is the biggest value? (a) y (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -2*j**3\/3 - 16*j**2\/3 - 14*j - 12 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-50) + (-16)\/30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.56020732 rounded to 1 dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the third derivative of -v**4\/24 - 25*v**3\/6 - 31*v**2 - 7. Determine x(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*o + 1. Let d be (2 + o + 247)*2360. What is d rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14314 at least as big as 12611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 8*u + 306 = 0. Let m = -40 + u. Suppose -5*g - 25 - m = -o, -g = -o + 91. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, d: 3, m: 3}. What is prob of picking 1 m, 1 d, and 1 q?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 9:00 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + 2523*s + 11 = 2519*s, 0 = -2*l + 2*s + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 195213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 29 = 5*k, -69*k + 74*k - 28 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -420230230 (base 5) in base 4?\nAnswer: -12211213130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6.66 + -6.1. Let p = q - 0.42. Let h = -0.24 + p. What is the closest to h in 1, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 15 = -7*z. Suppose -4*w = 4*b - 52, -z*w - 22 = -2*b - 4*w. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 4*t - t = -7, 0 = 5*h - t - 11. Let p = 43\/77 + -3\/11. What is the second biggest value in h, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 99.01164 from -185.\nAnswer: -284.01164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -33 + 77. Suppose k = 5*n + w - 2*w, 3*n - 4*w = 23. Solve -2*v - r + n = -0*r, 0 = v - 3*r - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 - 9*t**2 - 2*t - 15. Give i(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13320 and 4995.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -146.066 + 0.066. Let m = 193.8 + n. Let o = m + -25. What is o rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**2 + 3*c + 1. Let w be m(3). Let h = -0.22 + -0.08. Let y = -40 + 40. What is the closest to y in -4\/3, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 + 13*w - 6. Let r be c(3). Suppose -111*b - r = -115*b. Let x = 29 + -23. What is the greatest common factor of x and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-581)\/(-45899) + (-16824)\/(-237).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.22124292 * 7\nAnswer: -1.54870044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) -0.132 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 + 2*b - 1. Let s be q(-3). Suppose 2*h - 229 + 899 = 4*f, 4*f + s*h = 690. Suppose -5*j - l = -0*l - f, 2*j = -l + 68. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**2 + y**2 + 3*y**2)*(15 + 312*y - 13 + 130*y).\nAnswer: 884*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -3*b - 65, 3*n - 5*b + 10*b = 107. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 - 62046259617.\nAnswer: -62046259616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -2*b**3 - 10*b**2 + 16*b + 24 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + 3\/((-6)\/(-10)). Suppose d - 9 = -l. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -42.011 + 42. Let w = -0.037 - x. What is w rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -51 divided by 31\nAnswer: -51\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(308)\/sqrt(7))\/sqrt(4) + 1).\nAnswer: -3*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-4 - (3 + -10)) - (-18 + -10 + -27)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -18*q**4 - 3*q**2 - 3*q + 10. Let t(i) = 125*i**4 + 20*i**2 + 20*i - 70. Let u(o) = 20*d(o) + 3*t(o). Find the first derivative of u(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -46.2 - -45.819. Let m = 0.38459 + p. Round m to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 3*s**2 - 32*s - 92. What is u(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/6*3\/(-1). Let q be 6\/(-2) - 1*c. Let h be ((-4)\/(-8))\/(q\/(-8)). Solve -m = -3*m + 4*t - 2, m - 17 = -h*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 - 3. Let a = -7 - c. Suppose -k + 3*b - 14 = 0, -3*b + 4 + a = -4*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnhrhxqn. What is prob of sequence xrq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1 - 0 - (1 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2 + 5*p - 2. Let x be z(-5). Let f = -21 + 33. What is the least common multiple of 102\/9 + x\/(-3) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 9*h + 12. Let y(c) = -c**2 - 6*c - 5. Let x be y(-4). Is 8 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 37.61.\nAnswer: -15.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 665739334.\nAnswer: 2, 13, 127, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12\/81)\/(704\/864). Let h*f**4 + 0 + 0*f**3 + 2\/11*f**5 + 0*f**2 + 0*f = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.0274 - 0.1106. Let z = -0.137573 - i. What is z rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.32 + 69613\nAnswer: 69610.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -117, -168, -215, -258, -297, -332, -363?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 733*k + 595. Determine b(-2).\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2 + 6*x**2 + x**3 - 4 + 0*x**3 - 2*x**3. Let r be c(4). Let d = 209 + -101. Calculate the greatest common divisor of r and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 500 or -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 30*h**3 - 3908*h**2 - 30*h**3 - 3534*h**6 + 1054*h**2 wrt h.\nAnswer: -424080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 138*b**3 - 37*b**2 + 155*b**3 + 123*b**3 - 529*b**3 wrt b.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -106*l + 684. Give k(8).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (26\/4)\/(3\/30). Let l(k) = 27*k**2 - 2*k + 1. Let s = -3 - -4. Let y be l(s). What is the greatest common factor of y and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-five eighths of a meter in millimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 + 5*w + 2*w**2 + 4 - 1. What is r(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-10)\/(40\/(-6)))\/((-1)\/(-34)). Let n = -99.3 + 99. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t**3 - 2*t**3 + 3*t**3)*(-5*t**2 + 3*t**2 - 6*t**2) + t**3 - 3*t**5 - t**3 - 2 - 2*t**5 + 2.\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 5, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9336 divided by 2334.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (0*1\/(-2)*-2)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -2.25, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 86 + 30 + 24*d**3 - 24*d**3 + 607*d**4 + 58 wrt d.\nAnswer: 2428*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes before 12:40 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 24 = -h - 3*g, 0 = -h - 2*g + 14. Let k(t) = -2*t - 7*t + 8*t**2 + 6 + t**3 + 16*t + h. What is k(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -0.153645\nAnswer: -0.030729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-8)\/10)\/((-16)\/(-80)). Let g be (-2 - c - 0) + 1. Let z(x) = 5 - 12 + 2 - g*x + 6. What is z(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + (sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84) - (sqrt(84) + sqrt(84)*-1)) + sqrt(84))))\/sqrt(12) + (sqrt(28)\/sqrt(4) + -3)**2.\nAnswer: -2*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 10201110 (base 3) to base 13\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0, -1.9, 4\/7, 2, -55\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 + r**2 + 2*r - 8. Let y be x(0). Let h = -7 - -15. Let b be -1*(-38)\/h + (-2)\/y. Solve 4*n + u = -b, 5 + 1 = 3*n + 4*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -775 + 774.5. Let r be 312\/(-169) + 2\/(-13). Which is the smallest value? (a) y (b) r (c) 31 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17*y - 3 + 3 + (-y + 1 - 1)*(1 + 0 + 1))*(0 + 3 + 1)*(-y**3 + 0*y**3 + 0*y**3) to v*y**3 + o*y**4 + i + w*y**2 + j*y and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3229412157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 48\/5 of a minute?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 15221271*s**2 + 294234403?\nAnswer: 30442542*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of 37*i**6\/120 + i**5\/60 + i**4\/24 + 28*i**2 + 5*i. Let l(t) be the first derivative of b(t). Determine l(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2102055200 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**3 - 2*t**2 - 29*t + 32. Is x(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8, 53, 150, 317, 572, 933, 1418, 2045?\nAnswer: 2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -204.7613762 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (4 - 5)\/((-4)\/1172)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 4, g: 4, n: 1, e: 1}. Give prob of picking 1 g, 1 e, and 2 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1235881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 123543 (base 7) to base 5.\nAnswer: 1213124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -105 - -741\/7. Put w, 0.2, 17 in decreasing order.\nAnswer: 17, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -9 + 9*p**3 + 2*p**2 - 8*p**3 - 7*p**2 - 7*p. What is v(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 < 193940\/6479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y**5\/7 + 134*y**4\/7 - y**3 - 944*y**2\/7 - 804*y\/7 = 0. What is y?\nAnswer: -134, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h - 5. Let x be o(8). Suppose 0 = -x*z + 4*z - 2. Suppose 71*b = 297 + 58. Solve 5*d + 5*u - 5 = 0, -b*d = -z*d - 5*u - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -67*i**2. Suppose -4*z = -18 + 6. Let a(r) = -22*r**2 - z*r + 19*r**2 - r + 4*r. Give h(a(y)).\nAnswer: -603*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 180 and 78.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(4 - 4 + 5*d) + 14 - 18 + d - 39.\nAnswer: -4*d - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -66\/5*i**2 - 6\/5 - 42\/5*i - 6*i**3.\nAnswer: -6*(i + 1)**2*(5*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes before 2:54 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -245 - -259. Solve -4*m = -2*a + h, 4*a - 26 = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zkzjtkzzzzzjtzmtu. What is prob of picking 1 u, 1 j, and 1 m?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 134567*g - 134563*g - 84 = 0 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11 + 15. Let r be -6*x\/(36\/(-15)). Let u(o) = -2*o + 17. Let t be u(7). Solve 0 = t*p + 3*n + 9, -4*p + 4*n + r = -10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-68)\/16 + (-6)\/(-24) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -602 (b) -0.43 (c) -4\/7 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7*j*l**3 + j*l**2 - 562*l**3 - 3*l**2 wrt l?\nAnswer: 42*j - 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -66*z + 3. Let a(c) = -23*c + 5. Give 17*a(j) - 6*u(j).\nAnswer: 5*j + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 637875 is divided by 57501.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 19451254 to the power of 1\/2, to the nearest integer?\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -3*g**2 - 2*g**2 - 320*g + 0*g**2 + 2*g**2 + g**2 in the form q*g + p + u*g**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -30 + 31. Let w be (1 + 1)*((-6)\/12 + g). Which is bigger: -1\/39 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -3*u**2 + 16*u + 13. Let h(t) = t**2 - 5*t - 4. Let b(k) = -4*k**3 + 3*k**2. Let g be b(-1). Determine g*h(a) + 2*n(a).\nAnswer: a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 21. Let u = -13 + g. Suppose 5*i = 3*v, -8*v = 5*i - 7*v. Solve u = -i*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 16 = 4*d + 9, -d + 25 = 5*a. Suppose 4*v + 4*m - 24 = d, 0 = -4*v - 0*v + 4*m. Solve -3*u = v*r - u, u = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20106014\/9 + -2236506. Is a less than or equal to -2504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes after 7:16 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7630 + 15010. Is b less than or equal to 7379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -140.2 + 25.2. Let m = -2.633 - -117.233. Let i = m + w. What is the third biggest value in -1\/6, i, -3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 121 divide 16123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 100 = 2*n + 4*q, -4*n = 11709*q - 11710*q + 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 250 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 17 - 15 = -2*t, 5*l + 64 = 4*t. What is the smallest common multiple of (-1)\/(-4) + (-236)\/(-16) - 3 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (-1 + 0)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 113, 91, 65, 35, 1, -37, -79?\n\"Answer: -2*z**2 - 16*z + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 23*j + 149 - 103 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 5602*m + 12*m**2 + 112 + 16*m**2 - 5202*m.\nAnswer: 4*(m + 14)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -198 + 2?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 7370884 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - 212012?\nAnswer: -212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 8:50 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 77*i - 212729998 = -78*i, 2*i + 4 = 0. Round a to the nearest 100000.\nAnswer: 42500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25262417, 25262414, 25262411, 25262408?\nAnswer: 25262405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 5 = 2*q - 4*q, 5*q = -t + 8. Let b(s) be the second derivative of 0 - 2*s + 1\/12*s**4 + 0*s**2 + 0*s**t. Let d(r) = 3*r**2. Determine b(d(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201112122 - 222?\nAnswer: 201111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 34b155 (base 12) in base 8?\nAnswer: 3171421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2505 + -2505. Solve w = -3*k + 4*s - 17, 2*k + 5 = -k - 2*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3190787307?\nAnswer: 3, 17, 467, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1214437063 to the power of 1\/2, to the nearest integer?\nAnswer: 34849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -1389*j = -1205*j - 1656 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 639.6178ml in litres?\nAnswer: 0.6396178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -121299, -120652, -120007, -119364, -118723?\n\"Answer: -o**2 + 650*o - 121948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 PM and 9:04 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 19, 16, -13, -80, -197, -376, -629, -968?\n\"Answer: -2*t**3 - t**2 + 14*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((60 + 38 - 18)*(0 - 2*w + 0) + 5 - 5 - 4*w)*(-2 - 2 - 1).\nAnswer: 820*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t + 43. Let x be l(-21). Let g = 16.61 + -3.61. What is the nearest to -0.6 in x, -2, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(931) - (2 + sqrt(931) + 0)) + sqrt(931))**2 + -4.\nAnswer: -28*sqrt(19) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0, 2, -0.1, -4.8, 6\/55, 1.3, -1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 9 + 18bc?\nAnswer: 18c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6758 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/((-15)\/(-75) - 28\/150) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 523, 522, 521, 520?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 31941615 a multiple of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -24701 = 4*u + 3*f - 24661, -f = u + 11 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 389, 382, 373, 362, 349?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22441643?\nAnswer: 7, 3205949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 146581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-40))\/(70\/56 + -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 18*s. Let n(w) = 11*w. Let z(d) = 38*d - 74*d - 64*d. Let t(v) = 55*n(v) + 6*z(v). Give t(b(y)).\nAnswer: 90*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = -3*d - 3*j, -2*j = -d - 2*d + 136. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(99)*-1 + -1*2*sqrt(11) + 2 - 6*(1*sqrt(396) + sqrt(396))\/sqrt(4).\nAnswer: -41*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 128268967 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 288 and 936.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.5565 + -0.3115. Sort -4, 4\/5, d, 3\/7, -0.5 in descending order.\nAnswer: 4\/5, 3\/7, -0.5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23663362 (base 7) in base 12?\nAnswer: -8609b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/14*1)\/(-299 + 305)*-2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 14 - (4 - ((-18 - -9) + -19))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -18*z + 1. Let y(p) = -p. What is g(r) - 5*y(r)?\nAnswer: -13*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.08 (b) -0.9 (c) -5 (d) -6 (e) -0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0 * -69\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m**5 - 3*m**5 - m**5 - 6*m**5 + 6*m**3 - 6*m**3 + (-5*m**2 + 5*m**2 + 18*m**4)*(4*m + m - 2*m).\nAnswer: 44*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 608082 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4\/17, -90, 5, 2\/3, 0.1, 0?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 31\/21 - 9\/14. Suppose -4*s - 398 = -402. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.04444 to 2 decimal places.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*o - 186 - 86 = 172 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 3) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.0512 + 2.7812. Let c = a - -0.27. Is 1\/8 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 48.685 - 2.015. What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 7 - 7 - 3*y + 4*y - y - 5*y + (4 - 5 - 1)*(-2*y - 2 + 2) + (-5 + 4 + 12)*(3*y - 2*y - 2*y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15480.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 34 + 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of a**4\/12 + 4*a**3\/3 - 3*a. Let r be q(-8). Let v = 2 + -3. Sort v, r, -3 in descending order.\nAnswer: r, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - -11 - (2 - 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 1039*j**2 - 1661*j**2 + 992*j**2 - 1 in the form v*j + y*j**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6955985.\nAnswer: 5, 53, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -9921 at most as big as -9916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85 divided by -210.\nAnswer: -17\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 70431, 140672, 210827, 280902, 350903, 420836?\n\"Answer: v**3 - 49*v**2 + 70381*v + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 78 * -1145.9.\nAnswer: -89380.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -2147, -20, 0.5, -2\/5.\nAnswer: -2147, -20, -2, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -20 + 4. Let p be z\/((-12)\/(-9)) - 5. Let b(c) = -c**3 + c**2 + c - 1. Calculate b(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -125141 (base 8) in base 13?\nAnswer: -16b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 31*c**4 - 5*c**3 - 9*c - 3. Let f(q) = -15*q**4 + 3*q**3 + 5*q + 2. Let a(h) = 7*f(h) + 4*g(h). Find the second derivative of a(y) wrt y.\nAnswer: 228*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 8 (b) 2 (c) -1\/2 (d) -1985548 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2, 5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -89595, -87902, -86209?\n\"Answer: 1693*y - 91288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5781 - 4102. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 11:53 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(-20) - (-138)\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -501.2.\nAnswer: -200.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 2*h**2 - 3*h - 2. Calculate j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 7*l**2 + 10*l + 16. Let o be v(-4). Let q be (-1)\/(1 - 2) - -10. Calculate the highest common factor of q and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 671092 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 9981.348 years to months.\nAnswer: 119776.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.3*-297909\nAnswer: 89372.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -10*((-6)\/(-14) - (-864)\/630)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2139703 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 7605375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17667.\nAnswer: 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -2*d**3 - 10*d**2 + 4*d - 60. Let l be k(-6). Put -1, l, -3, -4 in decreasing order.\nAnswer: -1, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 17497242 - 1997242. Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + k - 1337 = 0, 5*d - 3581 - 3064 = 3*k. Suppose 2*a = -4*z + 410 + d, -3*z - a = -1306. List the prime factors of z.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 306 and 176169402?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 1196 = -1193 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**0\/k)**(-3\/5) assuming k is positive.\nAnswer: k**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 40\/(-420) - (-2860)\/42. Suppose -2*p + 14 = 3*v - 10, 4*p - d = -v. Solve -p = 5*m - 43 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1100 is divided by 208.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5050469 divided by 5.\nAnswer: -5050469\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -352 + 116. Let f be (-3 - j\/84)*-3. What is s in 0 + f*s + 2\/7*s**2 - 2\/7*s**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.75 - -8.94. Let k = a - 3.489965. Let r = 0.3 + k. Round r to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(540)*5)\/(sqrt(5) - ((sqrt(5) + sqrt(45))*6 - sqrt(5))).\nAnswer: -15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 2*h = -f + 4, 0 = 5*f + 3*h - 13. Suppose 0 = f*v + 5451091 - 15851091. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-2 + 1)\/(-1)). Let p(f) = 3*f. Let u(l) = -56*l. Let c(o) = -77*p(o) - 4*u(o). What is c(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v + 10 = 227. Sort -0.5, 5, v in decreasing order.\nAnswer: v, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68060.\nAnswer: 2, 5, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from whwhwwwwwwwhwhwwwwh.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -26090\/3 at least 51\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(220\/(-55)*4\/(-40))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 64 + -61. Suppose -3 + d = 3*t. Suppose 3*o + 37 = 4*z, t*z + 5*z - 60 = o. What is the remainder when 114 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -195 = 2*a - 221. Suppose -a*b = 1156 - 11062. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -5371.4104 and -18.7?\nAnswer: 5352.7104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14984 is divided by 577.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -2*i**3 + 5*i**2 - 9*i + 13. Let x be c(5). Let z = 157 + x. Suppose 4*o = 16 + 4. Solve 5*s = -5*v - 20, o*s - v + 16 + 10 = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(3\/(-36)*-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*k**2*u**2 - 5*k**2*u*w + 4353*k**2*u - k**2 + 2*k*u**2*w + 2*k*u - 174*u**2*w + 18*w wrt k?\nAnswer: -6*u**2 - 10*u*w + 8706*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 22*x**2 - x + 1. What is the remainder when p(1) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 8*o. Let d(h) = -4*h + 3*h + 5*h - 3*h - 8. Let m be d(8). Let q(p) = p + m*p - 2*p. Calculate q(r(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 480 = -5*r, -r - 11*g + 7*g = -119. What is the remainder when r is divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oeoa when four letters picked without replacement from {o: 8, a: 3, e: 6}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -3*z + 26, -z - z - 1 = u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 6\/4*(10\/2 - (-113 + 114))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -18*x**2 + 2*x + 1. Let p be (18\/36)\/(1\/10). Suppose 186*m = 181*m - p. Calculate y(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 1\/4*u**5 + 2399\/2*u**2 + 81\/4*u**4 + 1521\/4 + 4641\/4*u + 879\/2*u**3 = 0. Calculate u.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -123\/10 and -65\/193248.\nAnswer: 966240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 132623?\nAnswer: 132623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4289635*v**2 - 4289605*v**2 + 8579235*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 724255.\nAnswer: 5, 7, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*u - 4397721 = -23*u + 49*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m**3 - m**2 + m - 7. Let a be q(2). Let f be (-602)\/(-210) + (-2)\/(-15). Let v be 2277\/121 + 2\/11. Solve 0 = -f*o + a - v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10458 and 201026?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1417929, -1417590, -1417251, -1416912, -1416573?\nAnswer: -1416234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*k**2 - 2*k**2 + 2*k**2 - 110 + 18*k**2 + 2*k.\nAnswer: 46*k**2 + 2*k - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -388, -2, 1 in decreasing order.\nAnswer: 1, -2, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 12\/5*r**3 + 0*r - 2\/5*r**4 - 16\/5*r**2 + 0.\nAnswer: -2*r**2*(r - 4)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 - 3*y + 2. Let g(u) = -u**2 - 6*u - 3. Let w be g(-5). Calculate l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 155 + -155. Suppose -2 = 2*n + 12. Let r be ((-1)\/3)\/(n\/(-3)). What is the closest to z in r, 4\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -33*v**3 + 4*v**2 - 4*v + 36. Let i(s) = -s**3 - s**2 + s. Let n(l) = h(l) + 4*i(l). Find the first derivative of n(m) wrt m.\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 3*z - 6 = 4*z, -2*p = 2*z. Let g(w) = -65*w**2 + 8*w - 2 + 58*w**2 - 3 - w**p. What is g(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.3 + -0.3. Let f = -18 + 18.4. What is the nearest to 1\/3 in -3\/5, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 - (-39 - -15 - -23).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 81 = -633. Suppose 2295 = y*u - 133*u. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 129, 258, 387, 516, 645?\n\"Answer: 129*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6.8 - 6. Let u = -0.3 + w. Let f = 474 + -3324\/7. Sort f, 5, u.\nAnswer: f, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3 - 8*m**2 + 5*m - 13. Let q be j(-10). Let l = q + -4. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1.3 (c) -17418 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of -y**5\/90 - y**4\/18 - 21*y**2. Suppose s(v) = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 2 = 0, g - 6*g + 1528 = -4*z. Let f(n) = -5*n**2 - 303*n - 1284. What is the least common multiple of g and f(-56)?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001607 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -x + 2*x**6 - 32*x**2 - 47*x**2 + 59*x**2 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -326*w - 150*w + 627*w - 152*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 397.787 + 1.713. Let i = -314 + d. Let s = -92 + i. Round s to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) -36 (c) 1 (d) 4 (e) -0.02 (f) 35\/136 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 3*d - 1. Let j(v) = -2*v + v - 4 + 1. Let b be j(-7). Suppose -p - 12 = 4*i, 0*i + b*p + 6 = 5*i. Determine s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 17627\/3 + -5876. Are 1.754 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.2 - -0.2. Let d be (-2)\/(-3)*(-1)\/2. Which is the third biggest value? (a) t (b) -2\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/1625487 and 18\/2709145.\nAnswer: 8127435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t. Let v(q) be the second derivative of 1 + 0*q**3 - 91\/12*q**4 + 4*q + 0*q**2. Calculate v(p(c)).\nAnswer: -91*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6635 a factor of 1068022680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -1089304.67 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 0)*(-8*l**4 + 7*l**4 - 2*l**4 + 1).\nAnswer: -6*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1636 + 0.112. Let y = -4.9484 + l. What is the third smallest value in 3\/7, y, 3\/97?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**3\/10 - 77*l**2\/2 + 192*l\/5 = 0. Calculate l.\nAnswer: 0, 1, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -52 + 46 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 - 289 - (-6)\/2. Let j = 409 + s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -2\/625 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the third derivative of y**5\/60 - y**4\/4 + 3*y**3\/2 - 14*y**2. What is the units digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*3*sqrt(77))\/(sqrt(448)*-2)*5.\nAnswer: -15*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-1032)\/40 - (-134 - -113)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 4 (b) -5 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 155 - -24?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2936, 2622, 1770, 110, -2628, -6714, -12418, -20010?\n\"Answer: -45*z**3 + z**2 - 2*z + 2982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**2\/8 - 13058529*g\/8 - 3264633\/2.\nAnswer: 3*(g - 4352844)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 566302 - 133914 + 682404 = 28*r. List the prime factors of r.\nAnswer: 2, 17, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the first derivative of 2*o**3\/3 - o**2 + 2*o + 21. Let c be f(2). Suppose 6 = 5*r + c. Solve r = -t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -341*r - 7327 = 90*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2450 - 2391. What is the remainder when 193 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-46*101\/4646)\/((-69)\/(-18)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 78 and 1014.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - 5. Let s = w + 29. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/206130 and -38\/721455.\nAnswer: 1442910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a**2 + 73*a + 150 = 0. Calculate a.\nAnswer: -2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 16*f + 1667. Let y be g(-85). Suppose -o = 4*i - 59, 0 = o - 3*o - 3*i + 103. Suppose -6*w + o = -y. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k**3\/3 - 972980*k**2\/3 - 9729650*k\/3 - 8108000 = 0 for k.\nAnswer: -486480, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1681577, -3363147, -5044717?\nAnswer: -6726287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -228 = -4*g + g. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(243) + sqrt(243) + 3 + sqrt(243) + 4 + sqrt(243) - sqrt(243))**2 + 5*sqrt(3)*2 + sqrt(3) + ((-2*sqrt(27))\/sqrt(9))**2.\nAnswer: 389*sqrt(3) + 2248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 11, p: 2, r: 1}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -4*v**2 + 39*v + 213. Calculate g(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 3*x**2 - x - 2. Let z(q) = 16*q**2 - 5*q - 11. What is 33*m(a) - 6*z(a)?\nAnswer: 3*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((5280\/(-800))\/((-2)\/(40\/(-4))))\/((-2)\/(-4)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 19*y**3. Let r(l) = 57*l**3. Determine -11*p(o) + 4*r(o).\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -18.44 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-62)\/465*475\/(-285)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2700931836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*i + 34*i**3 - 2*i**3 - 13*i**3 + 120*i**3.\nAnswer: 139*i**3 - 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c + 14*c - 891. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22032 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: Let l(x) = -7*x + 125. Let v be l(18). Sort v, -6, -4, -2 in ascending order.\nAnswer: -6, -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78796.69 rounded to the nearest one hundred?\nAnswer: 78800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**3 - 47*d - 16. What is t(-8)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 559336 is divided by 69917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 112 + -34. Let v = l + -126. Let u = v + 60. Put 0, 0.3, u in ascending order.\nAnswer: 0, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -952669307*b**4 - 238555131*b**2 wrt b?\nAnswer: -22864063368*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/4*348\/(-261).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -4*m**2 - 122*m + 8382. Determine o(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3174.78801 rounded to the nearest ten?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*b + 2*w + 39, -b - 4*w = 0. Suppose 0 = -0*a - 4*a + 20. Suppose a*v = 43 - b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.0402 - 0.0042. Round i to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7 + 14*s + 14*s - 11 - s**4 + 12*s - 44*s - 5*s**3 in the form i + o*s**3 + w*s**2 + a*s**4 + c*s and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -727.46 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1110110010110101001 (base 2) in base 5?\nAnswer: -111003102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -4*j + 2*i - 13144, 0 = -j - i - 6568. Let s be (4\/(-6))\/(12\/j). Suppose 0 = -6*m + m + s. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 4*p**2 + 3*p - 2. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4763 + -4692. Calculate the remainder when 850 is divided by x.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 131580043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 - 7*h**2 - 9. Let a(y) = 2*y**2 + 3. Determine 7*a(x) + 2*t(x).\nAnswer: 2*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 711785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -126 - -185. Suppose -4*f + 6*p + t = 5*p, -2*f + 22 = -2*p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.93783 + -5.\nAnswer: -5.93783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 173591*c**4 + 3*c**2 + c - 23766442 wrt c?\nAnswer: 4166184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 21 = 5*d. Suppose -b - 3*b = -d*s + 8, -20 = -5*s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 252996180 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 792 + 6?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - 131310?\nAnswer: -131301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 40\/(-18) - (-4116)\/(-5292). Let w = 7 - 10. Let r = w - -2.6. Sort r, s, 0.4, -1 in descending order.\nAnswer: 0.4, r, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 284\/18 - (-4)\/18. Let j(h) = 5*h**2 - 83*h + 110. Let n be j(17). Calculate the greatest common factor of n and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d**3*y**4 + 82239*d**3 - 2*d*y**2 + 3992*y with respect to y.\nAnswer: 4*d**3*y**3 - 4*d*y + 3992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = -8*q + 335. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = a - 224. Let i = -33 + a. Suppose 2*y - 257 - 111 = 0. Calculate the highest common factor of i and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 + (-15)\/(-6))\/(7\/336). Let f = 76 - t. Sort -5, f, 0, 3 in increasing order.\nAnswer: -5, 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 17324.87 + -0.2\nAnswer: 17324.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*z + 1 - 1)*(z + 0*z + z) + 3254*z**2 + 396*z**2 + 1790*z**2 - 18446*z**2 - 42744*z**2 - 27101*z**2 to t*z**2 + c*z + d and give t.\nAnswer: -82847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -25 (b) -56\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -6*s**2. Let v(c) = c**2. Suppose 26 = -5*l + 6. Suppose 0 = -0*n - 4*n - 4. Let u(k) = l*v(k) + n*f(k). Let h(w) = -3*w**2. Give h(u(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 48*j - 65. Let m be f(-7). Let a be m\/(-11) - 60\/(-110). Solve a = -2*s + 33 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence boxl when four letters picked without replacement from gbxoblb?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 69*b - 21*b - 36*b. Suppose q - 167 = -173. Let t(g) = g**2 + 6*g - 6. Let w(k) = -k + 1. Let i(o) = q*w(o) - t(o). What is i(n(u))?\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4572 and 1061720?\nAnswer: 9555480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 4\/177709?\nAnswer: 4\/177709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 789*w - 794*w = -75. Solve -4*m = -9*m - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -a*z + 6556*a + 341840*z**2 - 4116 wrt z?\nAnswer: -a + 683680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 4*b + 4. Suppose 0 = b*h - 102 - 282. Suppose g - 4*g = -h. Calculate the greatest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 139 = 296. Suppose -3*j = w - 402. Let q = 175 + -133. Calculate the highest common divisor of q and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 + l**2 + l + 2. Suppose 10*s - 3*s - 49 = 0. Suppose -12 = s*y - y. Give k(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11675761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -28, -4, -64 in ascending order.\nAnswer: -64, -28, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/21, -7599, -34\/25, 1\/3 in increasing order.\nAnswer: -7599, -34\/25, 1\/21, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lbl. What is prob of sequence lbl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10*(-11)\/(-770))\/(1\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 9:54 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(((sqrt(68)\/sqrt(4)*2 - -3*sqrt(68)) + 4)**2 - (((sqrt(102)*-2)\/sqrt(2))\/(sqrt(3) + (sqrt(27) + sqrt(3))*3))**2).\nAnswer: -1119048\/169 - 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + 4*w**2 - 4*w - 5. Let q be t(-2). Suppose -q*f + 32 = -3*f. Suppose 2*l**3 + 2*l**f - 2*l**2 - 3*l**3 + l**3 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -4*f - 7, 0 = 2*u - 3*f - 2*f - 7. Let k(q) = 1 + 11*q - u. Let a(r) = 13*r. Let j(h) = -53*h. Let d(m) = 4*a(m) + j(m). What is k(d(w))?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the first derivative of o - o**2 - 9\/4*o**4 - 4\/3*o**3 + 10. Is j(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 4*p - 707. What is the remainder when p is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -88379, -353420, -795127, -1413494, -2208515?\n\"Answer: r**3 - 88339*r**2 - 31*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 150 + -100. Let b = q + -27. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(343) - ((sqrt(343) + 1)**2 + -1)) + sqrt(343) + -1 + -1.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 19366 = 5*b + 8533, -2*b + 46550 = 5*r. List the prime factors of r.\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*c + 94 + 863 = -1443 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k + 2 - 2)*(k**2 - 2*k**2 + 0*k**2) - k**3 - 4*k**3 + 3*k**3 - 3*k**3 + 0*k**3 + k**3 + (2*k**2 - 5*k**2 + 4*k**2)*(0 - 2*k + 0) + 2*k + k**3 - 2*k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61058*v - 3 - 61040*v + 3 + 122100*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -5230 != -5271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-4\/11)\/(j*j*j*j*(j*(j\/(j\/j**(-8)))\/j)\/j))\/((j\/(j\/(j*j\/((j*j**(-1\/13))\/j))*j*j)*j)\/j*j**(-16)) assuming j is positive.\nAnswer: j**(2940\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the second derivative of 163*g**6\/15 + 13*g**4\/3 - 9*g - 36. What is the third derivative of r(z) wrt z?\nAnswer: 7824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 26.07 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -8. Suppose 0 = -z - v*z. Solve 5*a = -f + 11, z = 3*a - 4*f - 4 + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 + -11. Let p = -43473\/63280 - 2\/3955. Let u = 3\/16 + p. What is the smallest value in -1, u, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/17)\/(q\/q**26))**(5\/4) assuming q is positive.\nAnswer: q**(2135\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 365314\/413 + -6192\/7. What is the nearest to 2\/5 in 5, p, 1\/2, -25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - k - 474 = 48, -4*c = 5*k - 406. Let u be (c\/6)\/((-1)\/3). Let b = 31 - u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*f = -29*f - 385 + 119, 2*n - 6*f + 8 + 72 = -12*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -152649163206.\nAnswer: -152649163211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 13013 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vhnyhvmvvhyhhhhnnnh. What is prob of picking 1 y, 1 m, and 2 n?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - -18. What is the greatest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -58\/7 - 8*x + 2\/7*x**2.\nAnswer: 2*(x - 29)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1657246033 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 0, -48.8, 0.4, -0.36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-372)\/54 + 4 - (-5)\/(360\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9 - -13. Let z(j) = -j. Let v be z(-1). Let q = v - 1. Put 3, p, q in ascending order.\nAnswer: q, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*c - 4*r - 16, -2*c + 370*r + 4 = 369*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1110 and 1360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 53*f + 13. Let i be n(19). Let g(w) = -w**3 + 4*w**2 - 2*w + 3. Let q be g(3). Calculate the least common multiple of 12 and q\/8 - i\/(-48).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 5*d. Let y = -23417 - -23417. Let o(i) be the second derivative of 0 + 1\/4*i**4 - 37*i + 0*i**2 + y*i**3. What is o(h(k))?\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 6785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 17017 and 539?\nAnswer: 119119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + 4b9583?\nAnswer: 4b9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/27, 2\/3, -2369.55.\nAnswer: -2369.55, 1\/27, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 6, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2086297280.\nAnswer: 2, 5, 19, 343141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (13 - -13) + -30 + (0 - -1)*4. Suppose 5*f - 5*a - 60 = 0, f - 2*a - 12 = a. Suppose 2*u - f = -u. Sort -4, i, u, 5 in decreasing order.\nAnswer: 5, u, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -3 (b) -5.2 (c) 91\/318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 11318700\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 144474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -359, -617, -643, -323, 457, 1811, 3853, 6697?\n\"Answer: 19*q**3 + 2*q**2 - 397*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-385*l**2 - 297*l**2 - 319*l**2 + 308*l**2)*(-1 + 1 - 3).\nAnswer: 2079*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - 0. Let k = -2 - g. What is the closest to -0.2 in 0.1, 1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (48\/28)\/(4\/(-5)*(-485)\/(-9506))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - -22. Let r be (-70)\/2*a\/(-15). Is (-2)\/(2 + (-64)\/r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -179\/2226 and -89\/226.\nAnswer: 251538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 8, -1614 in increasing order.\nAnswer: -1614, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 21*d - 7*d + 5*d in the form w + u*d and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -4, -6, -108 in decreasing order.\nAnswer: -1, -4, -6, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from dwbwdb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*z = -63*z - 8. Let o(n) = 2*n**3 + 6*n**2 - 4*n - 2. Let i be o(-3). Suppose i*b = 2*b + 32. Solve -5*c + 8 = -b*f - 2*c, -10 = -z*f - 2*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25258 - -25258. Solve 28\/3*t**3 + 6*t**4 + 4\/3*t**5 + 6*t**2 + 4\/3*t + y = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 - 3*u**2)*(u + 22 + 2301 - 388) to the form d*u**3 + a*u + c*u**2 + m and give c.\nAnswer: -5805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/o**(-6))*o**(3\/2)*o*o*o)**8 assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 6 = a. Suppose 6*y = a*y. Suppose 4*p - 9 - 7 = y. Is 4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 3:39 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -991, -2022, -3055, -4090, -5127, -6166?\nAnswer: -7207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 104 = 7*d - 33*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 647\/1078 + 2\/(-11). Let q = y + 1\/98. Let i = -5 + 5.4. What is the smallest value in 1, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1788075260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 PM and 10:07 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -4.061 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7347593, -7347586, -7347579, -7347572, -7347565, -7347558?\nAnswer: -7347551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 10:24 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the second derivative of 3*y**5\/20 - y**4\/12 - 32*y. Determine d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 8bbb + 1591?\nAnswer: a47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**2 - 84*s + 165. Let f be u(2). Let d(j) = j**3 + 7*j**2 - j - 25. Give d(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**3\/3 - 826*r**2\/3 + 3280*r\/3 - 3272\/3.\nAnswer: 2*(r - 409)*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3663 and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -246*l. Let i(w) = 35*w**2. Give i(a(g)).\nAnswer: 2118060*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-63)*(154\/12)\/(-11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 29900 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.766853 nanograms to micrograms.\nAnswer: 0.007766853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10704 = -t + w, -t + 678 = -4*w - 10008. Does 63 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4551 is divided by 147?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) 313 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75 is divided by 2\/(-8) - 486\/(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -23*y**2. Let k(z) = -6*z + 4749 - 4749. Give f(k(l)).\nAnswer: -828*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2.04 in 1\/4, -2\/207, 4, -1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 224, 372, 522, 674, 828, 984?\n\"Answer: v**2 + 145*v + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1517521587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 4, v: 4, j: 4, k: 2}. What is prob of sequence jjv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 54504 by 757.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 567675 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 - -51. Let r be (-2)\/9 + (-28)\/s. What is the units digit of 10*1\/(-2)*r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -586796 - 675780 - d**2 - 879*d - 1067*d + 315847 = 0. Calculate d.\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3061\/210 - 556\/21. Calculate the common denominator of t and -59\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 - k + k)*((-4 + 2 + 4)*(-3*k + k + 0*k) - 3 - k + 3 + k - 4*k + 4*k - 2*k + 4*k - 4*k + 0 + 912*k - 914*k - 5).\nAnswer: 8*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -652179033 divided by 3.\nAnswer: -217393011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 + 42*w + 84. Suppose 418*q + 240 = 412*q. Let r be y(q). Sort -4, -2, -8, r in descending order.\nAnswer: r, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 + 2*v + 1. Let t(k) = 5*k**2 - 217*k - 604. Let z(w) = 4*a(w) + t(w). Find the first derivative of z(x) wrt x.\nAnswer: 2*x - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 3833231639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 5*h - 217 = 220, 5*m = 4*h + 1076. What is the highest common factor of 81 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5722 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -2*i**3 - i**3 - 5 - 5*i**2 + 4*i**3 + i. Let s be c(5). Suppose -5*h = -s*h + 20. Sort h, -2, 1 in descending order.\nAnswer: 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 7868*g + 39343. What is c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of v**4\/4 + 4*v**3\/3 - v + 13. Let k be p(-2). Let w be (-1)\/((10\/(-16))\/5). Which is bigger: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -7*i**3 - i**2 - i + 9. Let a(j) = 11*j**3 + 2*j**2 + 2*j - 13. Determine 5*a(d) + 8*r(d).\nAnswer: -d**3 + 2*d**2 + 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2\/19, 6.4, 1, 66?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 137*-1*(6 + -5). Let z = -132 - k. Sort 3, z, -3 in ascending order.\nAnswer: -3, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-396)\/(240\/(-270) - 2\/(-9)). What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -521*d**2 + 1583*d**2 - 513*d**2 + 2*d**3 - 523*d**2.\nAnswer: 2*d**3 + 26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.5 - -1.6. Let k = -5.1 + j. What is the third biggest value in 0.4, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**5 + 228*y**4 + 942*y**3 + 1428*y**2 + 957*y + 240.\nAnswer: -3*(y - 80)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 21890*b**4 - 131325*b**3 + 262590*b**2 - 174940*b - 120.\nAnswer: 5*(b - 2)**3*(4378*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - a + 0*a - 9 = 0, -5*a + 43 = 3*x. Suppose -4*p + 2*m - x = p, 5*m - 5 = 5*p. What is the tens digit of 34 - (p - -2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from mddmmdmodmod.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**3*m**(1\/5)\/m)**(-10) assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -5*w + 2. Let x(g) = 11*g - 5. Suppose -92*c - 18 = -89*c. Give c*x(r) - 14*j(r).\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24 - -24. Let u = -48 + a. What is the third biggest value in -2, u, 3\/10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5115648701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 852*a**4 - 2461*a**3 + 2700*a**2 + 162 - 994*a**3 - 1080*a + 455*a**3 + 398*a**4.\nAnswer: 2*(5*a - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d + 2*m + 36, 9*m - 119 = -3*d + 4*m. Let c be 3\/(-2)*(-1)\/3*d. Suppose -4*w = 2*i + 4, 4*i = 2*w - 6 + 18. Is w less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 - 3*b - 3*b + 83 - 65. Let c be v(-8). Suppose -7*i + 9415 = -c*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 156.6708 - -0.3.\nAnswer: 156.9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 + -11*9\/(-3). Suppose x = q + 2. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**2 + 1. Let l be y(-1). Suppose -5*g = -g - l. Let u = 1.8 - -0.2. Which is the third smallest value? (a) g (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r*r**1\/r)**(1\/4)*(r**1)**(2\/3))**(-3\/8) assuming r is positive.\nAnswer: r**(-7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -23*a**3 + 988*a**2 - 1344*a + 59674. What is u(43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -311*w**3 + 8300*w**2 - 8300*w**2.\nAnswer: -311*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*f**2 + 3*f**2 - f**2 to m*f**2 + u*f + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5 minus 400.162?\nAnswer: -395.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 120\/(-8) + 34 - -6. Suppose 3*l = -3*o, -22 - 14 = -4*l + 5*o. Solve i - x = -l*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -265*f + 268*f - 49474, -5*f + 9886 = g. What are the prime factors of g?\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 1) + 43 + -49 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -71987000 to the nearest one hundred thousand.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -214 (base 5) in base 7?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2*a - 1. Let s be (-5 - -3)*1*-1. Give f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/(sqrt(22)\/sqrt(2)*-1))\/(-1*1*sqrt(72)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 42 + -40. Calculate the least common multiple of 33 and 16 - (y + 1 + 1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 4, -c + 5 = f + c. Suppose -k = 2*a - 4, -6*a + f*a = -2*k - 13. Suppose 4*n = -q + 166 + 59, -a = -3*n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72624 + 175128 = 27*t. List the prime factors of t.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-81)*36\/(-16).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/17, -5, -459, -73 in descending order.\nAnswer: -4\/17, -5, -73, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 + 9008*x - 9004.\nAnswer: -4*(x - 2251)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does -0.1 = 12027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**4 - 24*a**2 - 32*a - 12.\nAnswer: 4*(a - 3)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zezrzzezzererrez.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1936, 1935, 1934?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 25 = -q. Suppose a = -m + 10, -m - q = -0*m - 2*a. Factor 2*d**2 - 3*d**2 - m*d + 3*d.\nAnswer: -d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*o**2 + 26 - 26.\nAnswer: 31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u + 406 = u. What is the tens digit of 3 - (u\/2 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 7. Let a = w + -5. Solve -2 = -2*x - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1881, 4, -5, -2, -8 in increasing order.\nAnswer: -1881, -8, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 510598351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 16862, 16863, 16864?\n\"Answer: y + 16861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**2 - 3*x - 2. Let f be t(4). Suppose 2*i + 17 = 5*m, -3*i - 3*m = -6 - 21. Solve 2*g + f = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-56)\/21)\/(2\/(-6)). Suppose 11*n - v*n = 36. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2 + 13*u - 22. Calculate p(14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/3)*v**(-2\/43))**(-46) assuming v is positive.\nAnswer: v**(2254\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1751 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/888 and -107\/222?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 0*a + 8 = -4*a, 5*a = 5*d - 10. Suppose d = -4*j + 12, -3*l - 2*j = j - 9. Suppose 4*r - 12 = l, -2*r = 4*q - 37 - 5. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x**4 + x**3 + 2*x**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-71)\/(-133) + 39\/(-91). Let p = 0.03 + 11.97. Let m = -12.05 + p. What is the second smallest value in y, 0.4, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*r**2 - 1503*r - 33*r - 4 - 1483*r.\nAnswer: -8*r**2 - 3019*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be -3 + 3 + 2*-23. Let t be -78 + -1 + (0 - (0 + -3)). Let v = m - t. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of 10*b**3\/3 - 1. Let t(n) = 32*n. Let i(o) = 18*o. Let m(x) = -7*i(x) + 4*t(x). Determine m(r(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*l**2 + 1878*l - 5714*l + 3836*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.2105969 micrograms?\nAnswer: 0.0000000000002105969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2 smaller than -33\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 20 = -14*m, 3*m - 27 = 6*m - 5*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 4*v - 78 = -50, -3*v = 3*c + 9. Let d(q) = 6*q**3 - 23*q**2 - 8*q + 8. Let l(t) = 4*t**3 - 15*t**2 - 5*t + 5. Determine c*l(m) + 5*d(m).\nAnswer: -2*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wukuju. Give prob of sequence uwu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is 2996013033 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 287731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -11*n**4 - 6 - 2*n**3 + 3 + 9*n**4 - 1629*n + 1666*n - 28*n**2 in the form h*n**3 + i*n + g + l*n**2 + d*n**4 and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3*a. Let q(y) = -y + 3. Let f be q(a). Sort 2, -2, f in ascending order.\nAnswer: -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, -20576, 29, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**2 - 4*k + 2. Let b be n(4). Let y(h) = 2*h + b*h - 7 + 7. Let a be y(1). Solve -5*d = -2*t + 7*t - 25, 0 = a*t - 2*d - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-54) + 9877\/(-747)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5\/((-5)\/2))\/(-1). Suppose o*y - 3*y + 37 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 12:12 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -286548012 or -286548009?\nAnswer: -286548009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes after 4:41 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*g = 1004 + 4 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 24510 and 4750.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1890\/420)\/(-2*(-2)\/216). Calculate the highest common divisor of v and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/22 and 115\/219296.\nAnswer: 219296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 343, 697, 1051, 1405?\n\"Answer: 354*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 396*r**2 + 169. Let l(o) = 2*o. Give n(l(z)).\nAnswer: 1584*z**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes after 7:58 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -152*z - 1949. Determine o(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2399768\/5293275 + 2\/70577. Let v = s - 1069\/50. What is the common denominator of (16\/(-4) + 3)*47 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g = -4*y + 8, 2*g - 3 - 4 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*g + 12*g - 127*g + 6*g + 64*g + 6*g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 6*k**2 - 52*k**2 + 10*k**2 + 32*k**2 + 7*k**2. Let g(h) = -h - 1. Calculate n(g(t)).\nAnswer: 3*t**2 + 6*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -311, -1252, -3081, -6008, -10243, -15996?\n\"Answer: -35*d**3 - 234*d**2 + 6*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 + 5*v**2 + 6*v + 4. Let o be w(-4). Let r(a) = -2*a - 3. Let f be r(o). Suppose 3*b = 8*b - 5. Put f, -1, b in decreasing order.\nAnswer: f, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -54830 by -24.\nAnswer: 27415\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -820 = -4*a - 336. Let i = 16 + a. Let k = 244 - i. Is 54 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75572617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 76 + -72. Let t be 15\/10 - (-534)\/c. What is the units digit of 1*-10*t\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 184*-1.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.05 - 0.45. Let y be 15\/(-27) - (13 - (-40)\/(-3)). Let p be 5*-4*(-8)\/70. What is the second biggest value in p, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*c + 4 - 4 + (3 - 1 - 3)*(-14 - 7 + 1)*(-c - 3*c + 2*c) in the form r*c + b and give r.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30333248?\nAnswer: 2, 11, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1, -0.1, -2, 9, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2.9 in 3, 0.2, -68?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -9.4 (c) -5 (d) 92 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11 and 5995?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 + 5. Suppose 0 = 3*m + 11*r - 9*r + 10, 0 = -3*m + 4*r + 2. Is k > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 7*c + 3. Let l be w(0). Let d(a) = -92 - 6*a - l*a + 103. Let m(n) = 11 - 5 - 2*n - 3*n. Give -4*d(h) + 7*m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -307805*q**2 - 615625*q - 30 = 0. Calculate q.\nAnswer: -2, -3\/61561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08 plus 0.016781?\nAnswer: 0.096781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**3 + 150*q**2 - 5600*q - 1528. Give t(73).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -6 - 3*o**2 + 0*o**2 + 1 - o**3. Calculate the remainder when 31 is divided by q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.011321 and 0.5.\nAnswer: 0.488679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 7*r**5\/5 + 6536*r**4\/5 + 69308*r**3\/5 + 15278*r**2 - 202083*r\/5 + 49842\/5 = 0. Calculate r.\nAnswer: -923, -9, -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 28084.82 decades?\nAnswer: 2808.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 30, -1, 22, 2, -78, 0, -4 in ascending order.\nAnswer: -78, -4, -1, 0, 2, 22, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**2 + 76*m + 206. What is h(-73)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 209866 is divided by 7770?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 362491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 4*m - 2 = 9, m - 16 = -5*l. Suppose 4*x + x + 5*p = 10, -l*p = -2*x - 6. Suppose -3*g + 7*g = x. Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 + 17*n - 44. What is o(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 126 divided by -2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -306*c**3 - 1 + 1 + (-22*c - 3 + 3)*(-3*c**2 - 5*c + 5*c) as g*c**3 + z*c**2 + h + b*c and give g.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/(u\/(u**(9\/5)*u)))\/u)**(-2\/3)*((u\/((u**(-3\/2)*u)\/u)*u)\/u)\/(u*u\/(u*u\/(u\/u**4*u))))**17 assuming u is positive.\nAnswer: u**(561\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 + -3)*(-6 + 5). Suppose 2*g = i - 85, -4*i - 4*g + 0*g + 328 = z. Suppose -q + 36 = -i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 2*f**2 + 381*f + 7262. What is c(-169)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 262 + -262 - ((1 - 1) + 17) - 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from qbubuqubbubq?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94 = -2*g + 22. Suppose g = 2*r + 12. Suppose 0 = 4*n - 151 + r. What is the greatest common divisor of 80 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2292561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 + -23. Let y be 2\/(-12) + (-146)\/p. Suppose -2*l = -u - y - 1, -2*l = 5*u + 29. Let h(o) = o + 1. What is h(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1458329145 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -32.41 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -14791, -58640, -131723, -234040, -365591, -526376?\n\"Answer: -14617*a**2 + 2*a - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2*o**2 + 12*o + 1. Let f(n) = -n**3 + 3*n**2 + 19*n + 1. Calculate 3*c(v) - 2*f(v).\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 AM and 10:48 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(384) - (sqrt(384) + sqrt(384) + sqrt(384)*2 + sqrt(384)))*2 - sqrt(384))\/sqrt(8)*-2)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 12 = 3. Let z = 29 + -14. Let y = z + x. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 4*k**3 - 3*k - 5. Suppose -3 = 4*s - 5*s. Suppose -s*u = -7 - 2. Let q(n) = 1 + 5 - 3 + 2*n - 3*n**u + 1. Determine -4*j(r) - 5*q(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 32, -5, 7, 4, -4.\nAnswer: -5, -4, 4, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - (7 - 11) - -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 948\/(-237)*-21*((-42)\/9)\/(-7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 918827546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 36150721001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-6))\/(14\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*h + 4*h + 381 = -39. Solve -3 = -w + 5*c - 15, 4*w - h = -c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -2\/21, 14\/15, -43, 3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 342897 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: Expand (3 - 2*k - 3)*(-2*k - 3*k - 3*k) + (-k + 0*k + 0*k)*(k + 2*k + 2*k)*(1 + 0 + 1)*(-9 - 1 - 2).\nAnswer: 136*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 248774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 194112947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (83 - 0) + (-96 - -36 - -84 - 12)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 + 20. Suppose w - r = -0*w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**3 - 25*i**2 - 306*i.\nAnswer: i*(i - 34)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3851928860 + -3851935553.184029. Let d = -6761.18402893 - r. Let f = d - -68. Round f to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (11\/(-429)*-60)\/(21\/((-273)\/26))\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 5856836490 to the nearest one million.\nAnswer: 5857000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.09 in 15, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -14*p - 54. Let b be f(-4). What is the greatest common factor of b and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 82016 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.005925 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/18 - 230\/(-12). Let a = 19 - d. Suppose 0 = -5*r + 3*o + 525, a = -r + 4*r + 3*o - 291. Calculate the remainder when r is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, f: 2, t: 2}. Give prob of sequence fd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 + 7*x**2 - 3*x - 10. Let s be w(-7). Suppose 19 = 3*y - s. Suppose l - y = -l. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 345613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19 - 20. Let m be v + 0 + (-13 - -12). List the prime factors of (60\/42)\/(m\/(-28)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 10*q**2 + 16*q + 16. Let y(k) = 2*k**2 + 3*k + 3. Suppose u = 4*l - 10, 4*u - 5*u = -2*l + 6. Determine l*j(d) - 11*y(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/27 in -1, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 7 + 3)*(-5*f + 2*f + 4*f)*(3 - 3 + 3*f)*(-1 - 1 + 4) + (0*f - f + 0*f)*(4*f + f - 6*f) + 9*f**2 - 15*f + 15*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -144*z - 2 + 2*z**3 + 2.\nAnswer: 2*z**3 - 144*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {r: 1, v: 1, w: 3, f: 1, t: 3, z: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-44)\/216*-12 + (-4)\/9. Solve 0 = -f*s + 5*q + 5, s - q = -2 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2639 is divided by 84?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*c**3 - 5*c - 11*c**3 - 9*c + 27*c**3 to the form j*c**3 + w + n*c + s*c**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-2)\/216*(-861)\/(-462)*-6 and -143\/432?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 30\/9317 and 49\/44?\nAnswer: 37268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1265246 less than -0.16?\nAnswer: -1265246.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 9295531, 18591070, 27886609?\n\"Answer: 9295539*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -188 * -0.1.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -180 + 903\/5. Let r = 7 + -6. Let y be (0 + 0)\/(2\/1). Sort y, u, r in decreasing order.\nAnswer: r, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*a**3*j**3 + 10308*a**3 + 1443*j**3 wrt j?\nAnswer: -9*a**3*j**2 + 4329*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 - u - 1. Let x(z) = z**3 + 4*z**2 + 4*z + 14. Calculate 6*g(m) + x(m).\nAnswer: m**3 - 2*m**2 - 2*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.85 - -2.04. Let c = q + 0.81. What is the third smallest value in -2, -0.2, 2\/11, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1 + 0)*(-182)\/13?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 9*f**2 + 22*f - 7. What is the tens digit of n(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.6 * -12313013.\nAnswer: 19700820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -131 + 873*b + 74 + 65 to h + f*b and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6221015?\nAnswer: 5, 1244203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -8*i**2 + 1. Suppose 22*o + 21 + 1 = 0. Give f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*k + 64*k - 6291 - 55*k - 7666.\nAnswer: 2*k - 13957","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1717629 is divided by 5453.\nAnswer: 5387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 207377 (base 15) to base 3\nAnswer: 2220101211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 46622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-88236)\/3483*1\/(-4)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the second derivative of 11*z**3\/6 + 4*z**2 + 3*z. Let l(x) = -6*x - 4. Let q(n) = 3*i(n) + 5*l(n). Is q(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -28, -0.2, -14\/11, -5, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*w + 22 - 25 + 113. Solve -w*l - 15 = 0, d + 8*l - 5*l + 11 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20334 (base 11) to base 10.\nAnswer: -29682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -23553 smaller than -22829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - 101?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 4 = -5*m - 17, 2*r + 16 = -4*m. Let v be r + (-7)\/5 - -3. Which is the biggest value? (a) v (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -8, 1.2, -18, -0.1, 1\/4, -2\/11?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.1684 - -1.16847991. Round j to six dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 62, 1, 0.4, 0.03, -0.2, 6, -2\/261?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of -12*k**5\/5 - 136*k**4 - 532*k**3\/3 - 2445. Solve m(u) = 0.\nAnswer: -133\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 20 = -5*b. Calculate the lowest common multiple of 48 and ((-2164)\/40)\/(-1) - b\/(-40).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -31742, -0.07, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g = 7*b + 32, 5*b + 17 + 10 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 861 a factor of 658469553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k + 1. Let o be l(1). Suppose -3*p - p - n + 5 = 0, 0 = -4*p - 5*n + 9. Suppose o = 2*g - p - 3. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*b - 2 = -13*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 11 = -9. Let n be 0*-2*3\/12. Suppose n = 2*d, -k*d = 2*u + 3*u - 185. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 4 = 0, -55*d + 58*d + w = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -13*h + 2. Let a be d(3). Let n = 0 - a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2211110011211 (base 3) to base 5\nAnswer: 341123121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/(j\/(((j\/j**(-1\/3))\/j)\/j)*j)*j)\/j*j)\/j)**(-26)*j**(-1)*j**(-3) assuming j is positive.\nAnswer: j**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*l + 0*l + 19*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12710095 divided by -5.\nAnswer: 2542019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 7746\/(-4)*(-8)\/6*2. Let b = 11969 - m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1221633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (0*l**2 + 4*l**2 - 5*l**2 - 5*l)*(-235*l + 152*l + 120*l - 2) as k*l**2 + m*l + q + h*l**3 and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 25*k**2 - 57*k - 291. What is the hundreds digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1216694 is divided by 63.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 84 - 37. Differentiate 27*j - a*j + 84 + 22*j - 22*j**3 with respect to j.\nAnswer: -66*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - l = 213, 4*o - 114 = 2*o + 2*l. Suppose 3*k - o - 8 = 0. Calculate the remainder when 37 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of p**4\/12 - p**3\/6 - 19*p**2\/2 - 24*p + 24. Let a(b) be the first derivative of l(b). Determine a(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21667 is divided by 301?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/798 and 59\/353096.\nAnswer: 7415016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(1\/9)*s*s)**(-15)*s*s\/(s**16\/s)*s*s**(-5\/4)*s*s)**(1\/79) assuming s is positive.\nAnswer: s**(-695\/948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -172\/21 - -227\/42. Suppose 3*n = 2*g + 5, -g + 2*n = -6*g - 3. What is the common denominator of s and 9*27\/(-60) - g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(5\/(-12)))\/((-7)\/(49\/(-14)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 AM and 5:35 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 5, -1, 1787, 2, -9\/8, 13 in descending order.\nAnswer: 1787, 13, 6, 5, 2, -1, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 10 = 4*h, -5 = -3*a - 4*h - 0. Let x = a + 10. What is the second derivative of 2*k - x*k**4 + 11*k**4 - k wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a + 2*a**2 - 16 - 9*a + 0*a + 23*a. Is f(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**11*n\/n**(3\/4))\/(n**(-2\/11)\/(n*n\/n**(8\/7))) assuming n is positive.\nAnswer: n**(3785\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-17)\/(v*v*v*v*v**20\/v))**15 assuming v is positive.\nAnswer: v**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -5*w + 14. Suppose 182 + 172 = 5*i - g, -5*i = g - 346. Suppose -51*v - i = -61*v. Calculate m(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 3\/4 (b) 0 (c) 6\/11 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17.8 + -17.6. Which is the third biggest value? (a) -1\/3 (b) -14 (c) 1\/23 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/8 - 9\/24 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 64*k**3 + 3*k**2 + 2. Let b be u(3). Let w be (-2)\/13 - 4\/((-52)\/b). Calculate the highest common factor of w and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1\/9)\/o*o*(o*o**(-1\/36)\/o*o)\/o)\/(o**10\/(o**(-1\/3)\/o)) assuming o is positive.\nAnswer: o**(-413\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/14 - 4\/63. Let f = 3.64 + -4.3. Let t = 0.34 - f. Which is the third smallest value? (a) t (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*m - 41*m + 65 = 0. Let c(x) = -41*x - 17. Let j(g) = 81*g + 35. Let r(n) = m*c(n) + 6*j(n). Differentiate r(o) with respect to o.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 45446588 and 77891.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 13396 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2389678, -2389697, -2389726, -2389771, -2389838, -2389933, -2390062?\nAnswer: -2390231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppyppyp. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.62479 + 3.37521. Let c = -0.37 + 0.07. Sort c, -33\/4, v in decreasing order.\nAnswer: v, c, -33\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -y + 35, y + 3*y + 5*t - 90 = 0. Let i = 811 - 536. Calculate the greatest common factor of i and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 + -1 + (-5 - -2). Let x be (3\/2)\/(3\/6). Calculate the least common multiple of (l\/7)\/(x\/21) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -58005608, -116011219, -174016830, -232022441, -290028052, -348033663?\nAnswer: -406039274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 186\/(-30) - (-10)\/2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70.98*5.37.\nAnswer: -381.1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/(-6))\/((-9)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-3)\/(-18))\/((-84)\/3793272)*-3*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cs when two letters picked without replacement from bsctxzs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, h: 1, u: 1, a: 1, k: 1, j: 1}. Give prob of sequence gaj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/124*322\/(4991\/(-31)).\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 189826 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s + 1280. Let v be u(0). Let t = v - 1810. What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 54*o**2 - 4 - 24*o**2 + 34*o**2 - 6 wrt o?\nAnswer: 128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 44 + 32 = 0. Let m = 52 + t. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**2 + 13*j - 19. Suppose 3*c + 3*g + 63 = 0, 0 = c + 3*g - 5*g + 24. Is s(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.025134 rounded to four dps?\nAnswer: 0.0251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24 and 474341610.\nAnswer: 1897366440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 42305.304 to the nearest 100.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19926 - 19916. What is the nearest to -0.1 in o, -3, 33, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/173, 1\/3, -5, -3, -2\/5 in decreasing order.\nAnswer: 1\/3, 4\/173, -2\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1015)\/(-406)*12\/310*(-6)\/9.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**3 - 5*m**2 + 2*m - 5. Let i be z(5). Let n(h) = h - 3. Let q be n(i). Factor 2 + 6*p**2 - 4*p - 4*p**3 + q*p**3 - 2*p.\nAnswer: -2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31330316 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + 13 + -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - 8*l**2 - 9*l + 5. Determine a(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -448, -428, -396, -346, -272, -168?\n\"Answer: u**3 + 13*u - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 5*m**2 + 49*m + 28. Let r be g(5). Solve 0 = -r*f - 34 + 34 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = x + 3*x - d, -5*x + 3*d = -30. Let p(i) = 69*i - 9. Let z(y) = 34*y - 5. Calculate x*p(b) - 11*z(b).\nAnswer: 40*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -56? (a) -0.3 (b) -333 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 1, -0.3, -569, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 54984 * 0.11\nAnswer: 6048.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 21 - (-22 - -19) - (-9 + 5 + 4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + (-3 - 2) + 192. Let b = d + -214. Suppose 5*k = 3 + 7. Is k equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1100000000000100100 (base 2) in base 16?\nAnswer: -60024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 - -3 - (-1 - 24). Suppose f - 108 = -2*f - 2*n, -f + 2*n = -w. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/5727 and 19\/996.\nAnswer: 22908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 - 3*f**2 + 4*f + 2. Let h be v(-4). Let y be (96\/(-27))\/h + (-6)\/27. Is 27 a factor of y - ((-3)\/3 + -55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by ((-13)\/4)\/((-6)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1234*q - 7 = 4*z + 1233*q, 2*z - 14 = 4*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3598744687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of d**3*l*y - d**3*y**3 - 3*d**3 - 16*d**2*l - d**2*y**2 - 18*d*l*y**3 - 7*d*y**3 wrt y?\nAnswer: -6*d**3 - 108*d*l - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 69321*b**3*u**2 - 5*b**3 + 6*b**2*u**2 + 7*b - 7301*u**2 - 2*u wrt b?\nAnswer: 415926*b*u**2 - 30*b + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -60 - -49.8. Let x = -282 - -271.03. Let m = x - b. Round m to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 + 4)*(118*y**4 - 42*y**4 + 49*y**4) + (-y**3 + 5*y**3 - 6*y**3)*(-2*y + 3*y + y).\nAnswer: 246*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 244574848 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 57006900 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 3776 = 28*h - 3*h - 86*h for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 5, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 32*n**2 - 24*n**2 + n**3 + 1606*n**5 - 1591*n**5 - n + n - 2*n**5 + (0 + 2 - 1)*(3*n**5 - 3*n**5 - n**5) + 4*n + 0*n - 3*n - 2*n**5.\nAnswer: 10*n**5 + n**3 + 8*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -521\/4 + 131. Let j(i) = -2*i - 7. Let q be j(-5). Solve -3\/4*h**q + 0 + 0*h - 1\/4*h**5 - s*h**4 - 1\/4*h**2 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14240929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/(-5))\/(-1*(-60)\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2700 and 19548.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-19) + (-936)\/(-4104). Determine d, given that -1\/6*d - 1\/6*d**3 + u*d**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1281*o**2 + 2555*o**2 - 3*o**3 - 1274*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 938267 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -84*h**3 + 143900*h**2 + 1288128*h - 123984 = 0.\nAnswer: -9, 2\/21, 1722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 m, and 2 z when four letters picked without replacement from zztzzmttz?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, u: 1, c: 3}. Give prob of sequence cu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 109 - 108.6. Let f be -60*(-4 + 33\/9). Suppose x - f = -45. Put 0.2, m, x in ascending order.\nAnswer: x, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 - 8*h + 10. Let s be w(-9). Let l(f) = 3*f**2 + 15 - 6*f - 3 - 2 - s. Let t(m) = -m**2. Let o(u) = -l(u) - 2*t(u). Find a, given that o(a) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.01*0.0121\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*f**2 - 19*f**3 + 68*f**3 + 13*f**2.\nAnswer: 49*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - j + 29 = 2*h, -2*h - 4*j + 34 = 0. Suppose -4*u + l + 9 = -16, 5*l = u - 11. Calculate the least common multiple of u and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w**5\/7 - 2040*w**4\/7 + 2828*w**3 + 101728*w**2\/7 + 135888*w\/7 + 8000 = 0. What is w?\nAnswer: -2, -1, 14, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 1773970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wsnh when four letters picked without replacement from {n: 1, w: 2, s: 7, q: 4, y: 1, h: 5}.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160 = -3*g - g. Calculate the remainder when g is divided by (-2)\/(-10) - (-108)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(144) - -2*sqrt(144)*4) + 1*(sqrt(144)*2 - sqrt(144)))\/(-5*1*sqrt(128)).\nAnswer: -4 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -77 + 109. Suppose -4*q - 18*i + v = -22*i, 0 = -4*q - 5*i + 14. Calculate the least common multiple of q and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 356, 1362, 3046, 5414, 8472, 12226, 16682?\n\"Answer: i**3 + 333*i**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 2*q + 9 = 2, 0 = q + 4. Sort p, 3, 49.\nAnswer: p, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43702 is divided by 43697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + -1. Let q = -2.1 - c. Let z = -0.1 - q. Do z and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -0*z - 4*l - 924, 3*z - 4*l = -665. Suppose 0 = -5*q - 112 - 388. Let o = q - z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*o - 24372*r + 12186*r + 12181*r = 423, 0 = -r + 2*r + 82 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 3*w - 4402 = -55108, -5*d + 3*w = -84558. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -3099718, -3099999, -3100474, -3101149, -3102030, -3103123, -3104434?\n\"Answer: -b**3 - 91*b**2 - b - 3099625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 - 6*s + 33. Let d be w(-12). Let r be ((-130)\/d)\/((-2)\/(-3)). Calculate the highest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -65 - (6 - 24 - 1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*l - 45 = 11. Solve -5*m + 3*m = -4*f + l, 5*m = f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -136*b + 26062. What is l(195)?\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -31*b**4 + 6*b**3 - 69*b**2 + 4*b - 4. Let w(h) = -h**4 + h**3 + h - 1. Let y(j) = -c(j) + 4*w(j). Find the third derivative of y(a) wrt a.\nAnswer: 648*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - -8. Let w(s) = -s**2 - s - 6. Let z be w(5). Calculate the remainder when n is divided by z\/(-15) + 4\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -1611 and -4.539.\nAnswer: -1615.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 + 13*r**2 + 2*r - 17. Let i be x(13). Solve -d = -4*d - i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*u = 3 + 90 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 835 + 121 = -5*p, -2*c + 2*p = -366. Let v = c - 180. Solve -5*h + 36 = 5*f + v, -25 = -5*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0 (b) -0.2 (c) -9 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-12)\/x**27*(x**(2\/13))**(-40) assuming x is positive.\nAnswer: x**(-587\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.34*-342\nAnswer: 116.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1550, -0.2, 13, -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 107*t = 195*t - 193*t + 1890 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(13))*3 - sqrt(117)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 62\/(-48)*(-40)\/(-246) and 17\/126.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -728*u**2 + 1404*u**2 + 5*u**3 - 676*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 + 9*z**2 - 11*z - 10. Suppose -1 = -q - 11. Let w be a(q). Suppose r = -w*r + 17. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -24*u + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 + 43*h**2 - 2*h + 84. Let i be m(43). Sort i, -1, 4875, -3.\nAnswer: -3, i, -1, 4875","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -246907*k**2 - 45832*k - 2.\nAnswer: -493814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 2*y. Let g be (221\/(-52) - -5)\/(1\/(-4)). Let s(o) = -o. Suppose -5*d = -4*x - 27, -5*d = -5*x - 2*d - 24. Calculate g*n(a) + x*s(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 61988 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(-2\/3))**(-38)\/(f*f*f**0*f)**(3\/8))\/((f**(-1))**(-25)\/(f**2*f\/(f**(3\/4)\/f))) assuming f is positive.\nAnswer: f**(-853\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 39.55, -8, 4, 129?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -778, -785, -806, -847, -914?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5355478?\nAnswer: 2, 43, 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 + 28)\/(-17 - -19). Suppose -3*w - j + z = 0, -w + 3*j = -6*w + 22. Solve w*c = 1 - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20375 and 2125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pipcciijjipvzip. Give prob of sequence zjc.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 9551 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 68*d**3*z**3 - 27*d**3*z**2 + 4*d**2*z**3 - d*z**2 wrt z.\nAnswer: 408*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**3*(p**(3\/10)\/p)\/p)**(-1\/4))**(19\/6) assuming p is positive.\nAnswer: p**(-247\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**2 - 17*m + 24. Let n be z(16). Solve n = -8*w + 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29714685.\nAnswer: 3, 5, 7, 11, 13, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 8) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 3*p + 1, -9*s + 14*s - 2*p = 1. Let i(t) be the first derivative of -8*t + s + 7\/2*t**2. Find the first derivative of i(r) wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 4*j + 68. Let r(w) = -32*w - 226. Let t be r(-7). List the prime factors of m(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -67*-10.\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23 - -38. Suppose -4*m + 5 = -n. Factor 39*r**2 + 60*r**3 + m*r + r + 0*r.\nAnswer: 3*r*(4*r + 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/((h*h**(-3\/7))\/h)*h*h**(-2\/7) assuming h is positive.\nAnswer: h**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1777 - 5\/(-5)*0. What is the second derivative of -n + 1777 - 22*t - 11*t**5 wrt t?\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**2 - 3*h - 1. Let q = -29 + 23. Determine j(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 2*i - 23. Let p(w) = -w + 12. What is -5*p(b) - 2*u(b)?\nAnswer: b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/702)\/((-44)\/1584*-24).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 105347819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**4\/t)**49*(t**(-11)*t)\/((t*t**(-7\/2))\/t) assuming t is positive.\nAnswer: t**(281\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of 0*g + 0*g**3 - 5*g**2 + 0 - 2\/15*g**5 + 3\/8*g**4. Find the second derivative of d(j) wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.13 - 0.51. Let z = b + 38.38. Let o = 38.99982 - z. What is o rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 66 - 104. Let n = 22 + g. Is ((-1358)\/(-4))\/((-8)\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -20*f**2 - 13824*f - 71340. What is v(-686)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/12 - 147\/(-4). Suppose -7*t + y = -9*t. Let a(k) = -k - 26. Let z be a(-9). Is t != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.09, -4, -2\/15, 3\/58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(3\/13)\/((s*(s*s**(-17)*s)\/s)\/s*s) assuming s is positive.\nAnswer: s**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-6 + 1)*(-4 + -216)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -166, -2, -10992, -3, 0 in decreasing order.\nAnswer: 0, -2, -3, -166, -10992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 - v - 83. Let x be z(10). Let s(j) = -8*j + 62. Let y be s(x). Solve -12 - 12 = -y*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 27 = 4*g + 33, 0 = 4*a + 3*g - 164. Suppose 3*y - a = 2*q, -56 = -3*y - 3*q + 8*q. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.3 in 4, -801, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 155123255 + -55?\nAnswer: 155123200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1324234 (base 5) to base 10\nAnswer: 26819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i, 1 p, and 1 x when four letters picked without replacement from ipxipiip.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 25*o**3 - 4*o**2. Let v(c) = -1449*c**3 + 231*c**2. Determine -231*f(a) - 4*v(a).\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 23216 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0122471 to 4 dps.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(288) + 3*sqrt(288)) - (sqrt(288)*-3 + 0)) + -5 + -3.\nAnswer: -8 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the third derivative of -5*w**6\/24 + w**5\/60 - 5*w**4\/24 - 5*w**3\/6 + 163*w**2 - 1. Is x(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -21*w**2 + 344*w + 6902. Give l(28).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 - 9*l**2 + 8*l + 3. Let c be b(8). Suppose 5*t**2 + 7*t**5 - 6*t**3 + 13*t**5 - 9*t**c = 0. Calculate t.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence id when two letters picked without replacement from {d: 2, s: 8, i: 1, m: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 134732 and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*x - 2*x**4 + 300 + 318*x**2 + 97*x + 446*x + 6*x**3 = 0 for x.\nAnswer: -10, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 448 = -16619*y + 16591*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 2*s = 6, -10 = -z - 5*s - 1. Sort z, 3, 1029.\nAnswer: z, 3, 1029","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153) + (sqrt(153) - -1*sqrt(153)*1))\/((3*sqrt(90))\/sqrt(10)) + 0 + ((sqrt(17) - (-3*sqrt(187))\/sqrt(11))**2 - (-2 + sqrt(17))*2).\nAnswer: -sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 plus 50575.5983?\nAnswer: 50575.8983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 3299*a + 2827277. Calculate i(-857).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 1 = -a - 0, -4*g = 45350*a - 45352*a + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 850 divided by 5?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the second derivative of -x**6\/15 - x**5\/10 + x**4\/3 + 6*x. Factor n(t).\nAnswer: -2*t**2*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-3)*(-42)\/7. Solve -6 + 2 = -a*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 4*o = -34, -745 + 760 = 3*o for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -33 + 37 - (8 + (2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -4404682 greater than -39642125\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from clfjkqlf. What is prob of picking 1 k and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 6. Let v = 27.1 + -30. Let z = v - -3. Sort z, 5, u in ascending order.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.3, -0.4, 8\/7, 3, -128483.\nAnswer: -128483, -0.4, 8\/7, 1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 48513 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47780 is divided by 15746?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-10)\/270*-6 - (-115660)\/36?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-10)\/(-4)*310\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9839 = 2*f - 3*b + 9855, 0 = 2*f - 2*b + 8. Factor -2\/7*t**5 - 24\/7*t**f - 144\/7 - 114\/7*t**3 - 268\/7*t**2 - 312\/7*t.\nAnswer: -2*(t + 2)**3*(t + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 496847.5 tonnes?\nAnswer: 496847500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -184, -435, -736, -1081, -1464, -1879?\n\"Answer: k**3 - 31*k**2 - 165*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**2 + 3*c + 12. Let s be a(5). Suppose k = s*k. Solve k*u = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7970 and 100?\nAnswer: 79700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 6*w = 4*w - 6, 2*h - 12 = 4*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes after 2:49 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 30\/51971 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -256 - -261. Let p be -24*(0 + -1) - 0. Find the third derivative of -p*a**2 - 14*a**2 + a**2 - 2*a**t - 5*a**5 wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 155 - 150. Suppose -252 = c*l + 2*j - 802, 0 = -2*j - 10. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-8)\/(-90))\/((-760)\/5700). Let n be (-1)\/(-2) + (-2)\/36. What is the closest to w in n, 0.2, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 970*i**2 - 487*i**2 - 5*i - 482*i**2 - 4. Let z = -16 - -23. Calculate the lowest common multiple of m(z) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2111435.\nAnswer: 5, 422287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3275 + -5667255\nAnswer: -5670530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 - (-1 + -2)*1. Suppose 4*n + 20 = a*j, 3*n + 2*n + 22 = 2*j. Let f = j - 0. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 11 = 3*g. Let u be (6\/4)\/((-21)\/(-56)). List the prime factors of 3*u\/((-12)\/g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/57)\/((-132)\/(-88)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -7. Is (-70)\/(-2) - f\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 158b06 - -18?\nAnswer: 158b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84*u**2 - 354*u**2 - 753*u**2.\nAnswer: -1023*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - ((-6)\/2)\/((-3)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.006 less than -49036182?\nAnswer: -49036182.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/((w*w*w\/w**2)\/w)*w*(w*w**6)\/w*w)\/(w**0)**(-19) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.241319684 + 8?\nAnswer: 8.241319684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(500) - (-3 + 2*sqrt(500))).\nAnswer: -10*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ufqgudufugfqfffdudu. What is prob of sequence uu?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -103\/222 - 4\/111. What is the biggest value in -1\/22, -0.3, a?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from qqeqeeqq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 AM and 6:18 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 43083 or 50777?\nAnswer: 50777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 274567 or -3?\nAnswer: 274567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 812\/14*16\/(32\/4)*3\/(-3).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/74 and -45\/2416.\nAnswer: 89392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 95.8?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -6864*d - 10032*d - 1362545 = 1769*d for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1536453 + -161?\nAnswer: 1536262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 2*i - 160, -5*i = 5*m - 464 + 69. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 43 - 41. What is the third smallest value in l, 0.4, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1015256 and 88?\nAnswer: 1015256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 658 = -3*z, z + 10*l - 5*l = 210. Calculate the greatest common factor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*p + 14*p + 4*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -2*v - 1001 - 525, 0 = q - 3*v + 312. Let b = -117 - q. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 3*b = 57 - 10, -3*o = -2*b - 73. Let f be 3\/(5*5\/o). What is the nearest to 1 in 0.3, f, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8) - -1*sqrt(288))\/(sqrt(4) + 2*sqrt(12)\/sqrt(3)) + 0.\nAnswer: 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 8) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16 - 13. Suppose -1 = 2*q + n, 4*q - n = 1 - 6. Calculate the remainder when v is divided by (-4)\/2 - 10\/(-1 + q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 194\/22 - (0 + 4\/(-22)). Let c be 12\/x*6\/4. Let j = 57 - c. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + r = -238, -r - 218 = -3*o - 5*r. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -16*g + 3*g - 2*g**4 + 3*g + 3*g**3 + 8*g in the form n*g**2 + r + o*g**3 + s*g**4 + b*g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 + 0)*110\/(-66). Suppose 9*v - 176 = q*v. What is the greatest common divisor of 88 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -12*k + 16. Let h(c) = 36*c - 49. Let r(j) = 11*a(j) + 4*h(j). Is r(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 6 + 78470?\nAnswer: 78476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2))**(-7\/3))**(-48) assuming u is positive.\nAnswer: u**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes after 11:02 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (-3 - (-4 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101111100011 + 1110100000?\nAnswer: -1100001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*u**3 - 22*u**2 + 270*u + 464088 with respect to u.\nAnswer: -48*u**2 - 44*u + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -9, -4, 5 in descending order.\nAnswer: 12, 5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1130 and 35.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125548 is divided by 62748.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q - 2. Let n be d(6). Suppose -3*h + 1228 = -4*g, -3*h - 396 = -n*h - 2*g. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 3 - 1 - 7 - 3*d.\nAnswer: -3*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -4*j**2 + 13*j + 10. Let q(p) = p**2 + 21*p + 22. Let z be q(-20). Let c(u) = -11 + 3 + u**z + 5 - 4*u + 0. Give 7*c(o) + 2*g(o).\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-1 + sqrt(1280))*1)**2*5.\nAnswer: -2560*sqrt(5) + 102480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -17c822 (base 13) to base 16.\nAnswer: -923b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.3 - 16.3. Let o = 17.2 + v. Let x = o + -3. What is x rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3358416197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -5*z**3 - z**2 - z + 1. Let m be k(1). Let n = -6 - m. Suppose g + g - 8 = n. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 1026*f - 55346. Determine g(54).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract -251053548519 from -850.\nAnswer: 251053547669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 4*d + 3. Let r be g(-2). Is 13 a factor of 12 - 0 - r\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 17 = 2*c, 0 = -2*p - 133*c + 131*c - 64. Put 2, -1, -3, p in descending order.\nAnswer: 2, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 25*z + 88. Let i(u) = -33*u - 88. Calculate -3*i(q) - 4*n(q).\nAnswer: -q - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*u - 22*u + 25 = 0. Solve d - u*t = -0*t + 1, 4 = 4*d + 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 302088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 59075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49089?\nAnswer: 3, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 27545247 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7 and 659580712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 131731 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 518? (a) 5 (b) -8 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -2*r**3 - 36*r**2 + 14*r + 44. What is the units digit of y(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes before 5:49 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -40298*u + 81721*u - 40403*u to the form f*u + i and give f.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -23*n + 19. Let m(x) = 26*x - 20. Determine -3*m(r) - 4*t(r).\nAnswer: 14*r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = 5*d + 2*f, 956*d - 960*d = 5*f + 59 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 - 13*l**2 - 9*l + 111. Let s be u(13). Which is the closest to 0? (a) -2 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 164346289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4*q + 2)*(-1 + 4 - 1) + 0 - 9*q + 1 - 5*q.\nAnswer: -6*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 317 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -515532, -515492, -515432, -515352, -515252?\nAnswer: -515132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 357 is divided by 76?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 1. Let l(p) = 95*p**2 - 5. Determine 2*i(k) + l(k).\nAnswer: 95*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, l: 5, v: 4, w: 5, b: 1}. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (0*c + 8*c - 3*c)*(-536 + 884 - 1804 - 870 - 1259) as t*c + n and give t.\nAnswer: -17925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21) - (sqrt(525) + sqrt(525)*-3) - (sqrt(21) - sqrt(105)\/sqrt(5)*-5))\/((sqrt(108) - (sqrt(108)*-2 - sqrt(108)))\/(2*sqrt(81))))**2.\nAnswer: 1575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/(-9)*(0 - -3). Suppose 2*h + 802313 = w - 2*h, -u*h = 2*w - 1604666. Suppose -j - 917671 = w. Round j to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 - 3*y**2 + 3*y. Let r be l(2). Suppose n = -r*n + 63. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120 = 5*i + 70. Let a = 71 + i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*m + 112*m = 3552. Solve 631*n + m = 625*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -4, 163\/153, 3\/5, 3\/7, -2\/5, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 14780719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*(n\/(n**8*n))\/n)\/n)\/(n\/(n**(-5)*n)*n)*(n\/(n*n\/(n*n\/(n*n\/(n\/(((n**(1\/8)*n*n)\/n)\/n))*n))))\/(n\/(n*n\/n**5)) assuming n is positive.\nAnswer: n**(-161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -209.2 - -209. Let g = 2.7 + -3. Which is the closest to 0? (a) n (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, 2\/11, 439, -11\/3?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -1635*l + 1631*l. Find the third derivative of 14*b + 10*b + 77*b**5 + b**2 - l*b + b wrt b.\nAnswer: 4620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 AM and 2:01 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (156 + -171)*-2*6\/20. Suppose 3*q - z = -0. Solve -c + 2*c = q*p - 10, -2*c - 14 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36259 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16196 and 52637?\nAnswer: 210548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-4))\/(2\/(4\/(4\/(-4))))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 16*u - 62. Let j(p) = -p + 2. Let a(b) = i(b) + j(b). Let z be a(4). Factor 0*d + z - 1\/3*d**2 + 1\/3*d**3.\nAnswer: d**2*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*c**2 - 8*c**2 - 12*c**4)*(-6 + 14 + 3).\nAnswer: -132*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 45 at least 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 196 and 1.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.03 and 2.\nAnswer: -2.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**2 + 146*r + 4935. Let y be t(-100). Solve -347 + y = -2*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from {s: 7, v: 7, x: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 33*n - 389. Calculate the least common multiple of r(12) and 152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/99)\/((-14)\/(-42)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4 = -2*p. Let k = 3 + p. Let d be 3\/k*20\/6. Sort -4, d, 2 in decreasing order.\nAnswer: d, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -40974b2 - -84?\nAnswer: -409742a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 + 3*u**2 - 3*u + 5. Let v be p(-4). Suppose -r = -v - 1. Suppose -r*m + 5*t + 30 = 6, -4*m - 4*t = 8. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 117*f - 119*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the first derivative of 2 + 0*n - 1\/2*n**2 - 1\/4*n**4 - 2\/3*n**3. Let v be p(-2). Solve -v*o + 3*s + 6 = 0, -5*s = 5*o + 1 - 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 5687, 5688, 5689, 5690?\n\"Answer: x + 5686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6724786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -t + 120 + 222 - 6*t - 7 - 111.\nAnswer: -7*t + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77336 is divided by 3973?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2.59718718 take away -0.3?\nAnswer: 2.89718718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j**3 - 98*j**4 + j**3 + 128*j**4 + (-6*j**2 - 5*j**2 + 0*j**2)*(-2*j**2 + 5*j**2 - j**2) to r*j**4 + c*j**3 + f + v*j**2 + x*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13\/188 + 15\/47. What is the nearest to 1\/6 in -22, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -2*c**7\/21 - c**6\/60 - 12*c**5\/5 - 2*c**2 + 33*c. What is the third derivative of o(v) wrt v?\nAnswer: -480*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 7) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * -2833.9\nAnswer: 566.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 24*z**2. Let o(q) = 2*q**2 - 127*q + 51. What is o(t(g))?\nAnswer: 1152*g**4 - 3048*g**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1739, -1988, -2221, -2432, -2615, -2764?\nAnswer: -2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.232 - -1.197. Let g = 3.767 + j. What is g rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2*t**2. Let x(k) be the first derivative of k**2 + 5. Determine x(u(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 1767.077ml to litres.\nAnswer: 1.767077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -20628, -20189, -19458, -18435, -17120?\n\"Answer: 146*o**2 + o - 20775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1433 less than -10?\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -5*o**5 + o**4 - 11*o**3 + 3*o**2 + 8*o - 8. Let s(j) = -14*j**5 + 4*j**4 - 32*j**3 + 8*j**2 + 24*j - 23. Let u(f) = 11*n(f) - 4*s(f). Factor u(r).\nAnswer: (r - 2)**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**2 - 5*c + 7. Let h(m) = m - 7. Let s be h(9). Let i(r) = -r**3 - 6*r**2 - 3*r + 7. Let p be i(-5). Let t = p - s. Determine v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*s**2 + 1103*s - 1103*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2484735 to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4188704.\nAnswer: 2, 13, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/r**(4\/9))\/((r\/((r**(-3\/8)*r)\/r))\/r)*(r**0)**(-2\/21)*(r\/(r*r\/(r*r**(-2\/7)\/r)*r)*r**4\/r)\/(r**(2\/13)*r**(-1\/2)) assuming r is positive.\nAnswer: r**(14683\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 102\/7 + -2747\/189. Let l = x + -59\/135. What is the closest to -2\/3 in 1\/6, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 4*d - 8*d = 21768, 3*i - 16331 = 2*d. List the prime factors of i.\nAnswer: 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w = -16 + 19. Suppose -w*m = -2*p + 16, 2*m + 21 = -2*m + 3*p. Is (354\/8)\/(m\/(-16)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -22*i**3 - 2*i**2 - 7*i - 7. Let j(c) = c**3 - 4*c**2 + c - 1. Let d(r) = 3*j(r) - s(r). Is d(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -161 - -165. Suppose 4*c + y - 1 = 0, 3*y = -5*c + 7*y - v. Solve c = -b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1772 - 19504\/11. Let f = -1789603 + 17935579\/10. Let r = -3962 + f. Find the common denominator of w and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-27)\/18*16\/(-6). Suppose -y + 0 + 4 = 0. Let u be ((-6)\/y)\/(27\/(-72)). Solve 3*i + u*f + 16 = -10, -28 = 4*i + s*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 181 - 58100*j**3 + 187 + 831*j**4 + 140*j**3 + 57132*j**2 - 3*j**5 - 368.\nAnswer: -3*j**2*(j - 138)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = -8, -3*l + 54*u - 101*u + 48*u + 13 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 6*y + 3. Let l(i) be the first derivative of 3*i**2 + 4*i - 4. Suppose -1048*f - 3*z = -1050*f + 8, 0 = -f + 2*z + 4. Determine f*g(u) - 3*l(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 19 = -5*f - 0*f, -4*f + 20 = 0. What is the first derivative of 22*k**d - 13*k - 129 + 26*k - 15*k wrt k?\nAnswer: 44*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*s**2 + 3*s**2 - s**2 - 2*s**3 - s**4 - 3*s**4 as y*s + a + k*s**3 + q*s**2 + t*s**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*a - 17*a + 13*a)*(1 - 2 + 2).\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 76 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2c13 - -104?\nAnswer: 3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -7*v - 222. Let i be w(-32). Solve -11*s - i = -13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-90)\/27*132\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 8336.2, 0.4, 5.\nAnswer: 0.4, 5, 8336.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 14. Calculate v(10).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -125 - -121. What is the biggest value in 1\/4, 5, n, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 67 - 24. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 623672 divided by 14504.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 2*k**2. Let n(g) = -g**2 - 6*g + 4. Let f be n(-6). Let o(b) = -f - 4*b + 2 + 2. Calculate o(m(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -15146, -58.2 in increasing order.\nAnswer: -15146, -58.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-202)\/18 - (-52895)\/(-190422)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, y: 13}. Give prob of picking 3 n.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (156\/(-8) - 6)\/(3\/(-4)). Let d = c - 32. Solve 3*x - 4*t = -26, -x = -4*x + d*t - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppppgopbgnnigon. Give prob of picking 1 i, 1 g, and 1 b.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 9 = 1. Determine n so that -y*n**2 + 8*n**2 + 4*n**2 + 8 - 8*n = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11.57 - 0.57. Let t = -13888\/11 - -1260. Let z = -342\/143 - t. What is the third smallest value in i, z, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/(-9))\/(-4)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the third derivative of -2*l**7\/21 - 29*l**6\/8 + 11*l**5\/6 - 98*l**2. Find d such that z(d) = 0.\nAnswer: -22, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -888\/2195 + 2\/439. Is 6 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11\/((-44)\/(-8)) + -2. Solve 0 = 4*c - n*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1273296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001 (base 2) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*g*h**4 - 79*g*h**3 - 13250*g - 15*h - 1 wrt h?\nAnswer: 16*g*h**3 - 237*g*h**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*k + 9*k - 12*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*r**3 - 244321*r**2 + 3869*r - 11.\nAnswer: 12*r - 488642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -13*j**3 - 4*j**2 + 5*j + 1. Let a(q) = -7*q**3 - 2*q**2 + 3*q + 1. Let p(y) = -y**2 + 340*y - 15678. Let f be p(55). Determine f*v(h) + 5*a(h).\nAnswer: 4*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -3*b**2 + 9. Let s(u) be the third derivative of 0*u**3 + 0*u - 31*u**2 - 1\/8*u**4 + 0. Calculate y(s(h)).\nAnswer: -27*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -226 + 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 2, x + p - 22 = 5*x. What is the common denominator of 31\/10 and (-302)\/(-6)*(-1)\/x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1765 - -3295. Is 5 a factor of (2 - 1)\/(3\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s + 6. Let x(q) be the first derivative of 3\/2*q**2 + 6 - 7*q. Give 5*g(d) + 4*x(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 3*g - 3844, -g - 3852 = 2*v - 6*v. Let z = -600 + v. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -360\/41 + -4\/205. Let x(g) = -8*g**3 - g**2 + g. Let a be x(1). Is a < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 23, -5, 0, 261\/226?\nAnswer: 261\/226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -4.74248 rounded to 1 dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be (15\/(-10) + 1)*0. Let j = 4622 - -1866. Suppose -2*h + 13004 = v, -h - v + 4*v + j = c. What is h rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -3*b**2 + 6*b + 5. Let w(l) = l**2 + l. Give -n(j) - 2*w(j).\nAnswer: j**2 - 8*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.015 + 0.015. Let t be (-45)\/(-39)*(-136)\/(-942). Let l = 2\/157 - t. Which is the closest to 0.2? (a) q (b) -4\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 136436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - t = 5*x - 10, 20 = 4*t + 4*x. Suppose 124 = 4*h + 2*n, t*n = h + 25 - 78. Solve h = -4*k + 45 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2 + -0.2. Let h be (368\/644)\/(6\/(-7)). What is the nearest to -3\/11 in 0.4, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, -2660.\nAnswer: -2660, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 12 and -0.15.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 168 and 292278?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -4*v**3 - 7*v**2 - 44*v - 82. Let r be j(-4). Solve 211 - r = -9*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((2 + sqrt(5))*-4*-5 + sqrt(45)\/(sqrt(450)\/sqrt(2) + sqrt(9))).\nAnswer: 240 + 121*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -196490 divided by -28070.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3.86 times 5\nAnswer: -19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 483 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/14 + (-219)\/(-21). Suppose z - 3*f = -k, -6 - 1 = z - 2*f. Solve 0 = -2*o - 5 + z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53079478?\nAnswer: 2, 26539739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 612695599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -267989\/3 + 88391. Let h = 939 + a. Determine g, given that 2*g**3 - 4*g**2 - h*g**4 + 10\/3*g - 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 5*r + 35, 0 = -5*h + 10*r - 11*r + 17. Let v(o) = 4*o. Give v(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109 a factor of 47189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together 26963505972 and 36.\nAnswer: 26963506008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -116, -472, -1066, -1898, -2968, -4276, -5822?\nAnswer: -7606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2617.5 decades in millennia?\nAnswer: 26.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -143*m**3 - 3*m**2 - 7*m. Let f(y) = 48*y**3 + y**2 + 2*y. Let k(b) = 8*f(b) + 3*n(b). Find the third derivative of k(h) wrt h.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence papb when four letters picked without replacement from puabbpbuaaa?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 145 and 1661260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.1 (b) 6 (c) 10 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j**4\/7 + 2664*j**3\/7 + 896254*j**2\/7 - 2664*j\/7 - 896255\/7 = 0. Calculate j.\nAnswer: -2269, -395, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 67474973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2\/9, 0, 0.0579?\nAnswer: 0.0579","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 7, u: 7, w: 5}. Give prob of sequence uywu.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -79 - (8 - 25 - -61 - 29)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4765 = -4*b + 5*a, -5*b - a + 5960 = -6*a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**3 + 2*u**2 + 2*u. Let h be d(-2). Let c = 0 - h. Calculate the remainder when (-18)\/(-12) + 18\/c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 979394 is divided by 10419.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(12\/5)*k\/(k\/(k**10*k))*((k**(-2\/27)\/k*k)\/k)**(3\/5) assuming k is positive.\nAnswer: k**(574\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + -433?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -19 (c) 3 (d) 2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*g - 4. Suppose -30 = -g*n + 3*z, -z = -2*n - 3*n + 88. Suppose 0 = -13*t - 2 + 678. Calculate the remainder when t is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 PM and 11:43 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 140613 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 4*r + 1. Suppose 0*f + 15 = -3*f. Let i be (-20)\/(-8)*(3 + 13\/f). What is a(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 44682892 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 2*c**2. Let i(w) = 15*w + 2. Give d(i(x)).\nAnswer: 450*x**2 + 120*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 963 - 963 = -8*z. Solve 55 + z = 11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3296 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 4 = 4*b. Let v = -4 - b. Suppose d - 3*d + 2 = 2*l, v = 3*l + d - 11. Solve l - 20 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -60\/59 + 195121\/472. Let s = 408 - r. Calculate the common denominator of s and 3\/(-6) - (-18)\/(-44).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*k - 28*k = 352. Suppose -m + 79 = 2*v, m - v = 4*v + k. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v**3\/17 + 2113532*v**2\/17 + 21135170*v\/17 + 52837800\/17 = 0. What is v?\nAnswer: -1056756, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-14) + (-21)\/49. Let v be 0\/(1 - (11 - 7)). Solve 2*h + j - 8 = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(1\/2)\/d))\/(d\/((d*d\/d**(-4\/11))\/d)))\/(d**(-1\/24)*d*d\/d**17) assuming d is positive.\nAnswer: d**(4463\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12 - 8. Let n be ((-112503)\/(-2))\/(1\/p). Let g be n\/(-15) - 2\/(-5). What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 176*n**3 - 33*n + 33. Let c(m) be the first derivative of -27*m**4\/4 + 5*m**2\/2 - 5*m + 342. Determine 33*c(l) + 5*i(l).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*w + 1054895 = 1602*w - 10687*w for w.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c + 5*c - 4*c)*(4 - 4 - c) + 1 - 2*c**2 - 1 + 38*c**2 + 15*c**2 + 11*c**2.\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -45, -103, 35, -3, -10 in decreasing order.\nAnswer: 35, -3, -10, -45, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 c when three letters picked without replacement from iaiearceieiaiaeeeaaz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -363.02706 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w = 21 + 3. Let g = -257\/4 - -64. Sort -0.3, g, w.\nAnswer: w, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15710.65 kilometers to meters.\nAnswer: 15710650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1440756, -2881625, -4322604, -5763693?\nAnswer: -7204892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 112 (b) -9 (c) 0.17749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108*g - 579*g - 640*g + 219*g.\nAnswer: -892*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((88\/80)\/(-11))\/((-4)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 5, 11, -5 in decreasing order.\nAnswer: 11, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5078 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5172 = -442*l - 752 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6572451*b + 6572451*b + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23257.9 + 23258. Which is the fourth smallest value? (a) l (b) -8 (c) -109 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -116*u + 62. What is the units digit of a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(-6)*(-8)\/(-35) + (-9)\/(-54).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in -0.017, -0.3, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.2 - 0.6. Let t = f + 0.5. Suppose 0*r + 1 = r. Which is the closest to t? (a) -5 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - 3221021?\nAnswer: -3221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 24*i**2 + 2*i - 89. Let q(p) = -p - 2. Let j(h) = -o(h) - 2*q(h). What is the first derivative of j(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.4 + 0.66. Let u = 0.46 - g. Which is the nearest to u? (a) 3\/7 (b) -2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 13\/156*(-20)\/55\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5625622, 5625624, 5625626, 5625628, 5625630?\n\"Answer: 2*f + 5625620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -71361*d + 285377. What is j(4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 = 3*g + 4*v, 4*g - 9*v - 91 = -4*v. Suppose m = -3*m + 4*l + 84, -l = 5. Suppose -m*w + g*w - 276 = 0. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - 2. Let k = 42 - u. Let l be (-30)\/k*(1 + -57). Calculate the highest common divisor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 186179 is divided by 62059.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 + 14. Let q = u + -3. Suppose -w + 1 + 8 = q. Solve -4*i = w + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 4.275319 millennia?\nAnswer: 42.75319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -16eeb2 (base 15) to base 10\nAnswer: -1113692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 17*j**3 - 9*j**2 + 9*j + 11. Let n(z) = z**2 - 118*z - 871. Let a be n(-7). Let u(m) = 9*m**3 - 4*m**2 + 4*m + 5. Determine a*g(k) - 9*u(k).\nAnswer: -13*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6\/(-9)*159)\/(-2). Suppose 2*o = -47 + a. Find the third derivative of -20*j**2 + 17*j**4 - 8*j**4 + o - 3 wrt j.\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 249119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1300 - 130?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*a**3*f**3 - 2*a**3*f**2*h + 84*a**3*h + 319*a**2*f**3*h + 2*a**2*f**2 - f**4 wrt f.\nAnswer: -12*a**3 + 1914*a**2*h - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5096 and -3.\nAnswer: -1.5288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4403\/8 - -552. Calculate the common denominator of -3 + 357\/150*1 and l.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 3*x - 16. Let k be c(6). Suppose -5*h = 4*y - 9599990, 3*y - 3542993 - 3657003 = -k*h. What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 + 10*q**2 + q + 11. Let z = 4 + -2. Suppose -10 = 2*a, -3*o = -z*o + 3*a + 25. Let s be i(o). Calculate the greatest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3763\/1278 - 5\/2. Let u(r) be the first derivative of 2\/27*r**3 - c*r - 1\/9*r**2 + 24. Let u(q) = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1078\/(-455) + 4 + (-2)\/5. Factor -56\/13*s - u + 196\/13*s**2 + 686\/13*s**3.\nAnswer: 2*(7*s - 2)*(7*s + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 12:56 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times -1220?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1243283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.046 - -35.046. Let k = u + -36. Which is the third biggest value? (a) 0.3 (b) k (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 5*x = 3, -1 = 3*w - 0*x + 4*x. Let j be (9 + 1)*2\/4. Suppose r = 2*s - 0*s + 11, 2*s + j*r = 7. Sort w, s, 2 in increasing order.\nAnswer: s, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 207162355 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 721373849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2669290666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 5*n - 20, 3*n - 13 = 4*d - 1. Suppose 0 = 5*h + n*z - 20 - 16, -4*h - 3*z + 29 = 0. Calculate the greatest common factor of h and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*f - 10*f + 72. Suppose -22 - 23 = 5*o + 3*b, -o = -5*b - 19. Sort -7, o, f in decreasing order.\nAnswer: f, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 6*b + 8 + b**2 - 3 - 2. Let q be x(-6). Solve -2*u = q*y - u - 8, -5*u = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u = -505 - 90. Let j = -83 + u. Suppose -5*v + 2*v = -4*o - 428, 4*o - 252 = -j*v. What is the greatest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 936*d - 2308*d - 31992 - 140322 = 1819*d for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n + 1470 = 5*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 + 6*w - 3. Let d(a) = -a**2 + 5*a - 2. Calculate -5*d(i) + 4*m(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -9, 0.4, 3\/1048, 1\/3, 1, 4?\nAnswer: 3\/1048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 628 divide 43360231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 619947.3g to milligrams.\nAnswer: 619947300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 + 120. Suppose -2*q = 2, 0*y = 2*y + q - m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 420664.5ug to grams.\nAnswer: 0.4206645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 16132 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is u in -2*u**2\/7 - 6192*u\/7 - 4792608\/7 = 0?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2597*(1065\/21 + -7). What are the prime factors of 6\/(-4) - (o\/12)\/(-17)?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 19 - 6. Suppose p = 5*s - 12. Solve w - 14 = -3*g, 5*g + 5 - 35 = s*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -131740 (base 16) to base 3\nAnswer: -2100120020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5053, 4, 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 6 + -2.49\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 203 in 0.0527, 0.4, 4\/7, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -155 (c) 6\/5 (d) 0.11 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 436325549 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.030813229 - 3489\nAnswer: -3488.969186771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 0)*(-u + 3*u + u)*(-1 + 1 - 1).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**3 - 6*m**2 - 8*m + 12. Suppose -12*s = -3*s - 63. Let d be z(s). Suppose -5*o = 3*q - 752, d*q + o = -0*q + 1224. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*t**3 - 102*t**3 + 32*t**3 + 35*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 18212 + -18217. What is the second smallest value in 5\/2, 5, -5.15, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(330)\/(sqrt(10)*-3))\/(3*sqrt(12)\/sqrt(4)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 116169194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l - 8. Let o(j) = 7. Let u(y) = -7*o(y) - 6*r(y). What is the derivative of u(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*i**2 + 50 - 25 + 2*i**3 + 56*i - i**3 + 15*i + 10 = 0 for i.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*o - 1 - 7*o**2 - 4 + 5.\nAnswer: -7*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -570 + 1553*y + 572 - 246*y as j*y + r and give j.\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*q**2*z**3 + 4331*q**2 + 50*q*z - z**3 wrt z.\nAnswer: 12*q**2*z**2 + 50*q - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes before 12:54 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 15 - 57 = 0. Let x = 36 + z. Is (x - (-596)\/(-16))*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92787215 times -0.2?\nAnswer: -18557443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -240 in 2, 5\/3, -11, -0.4, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 94*(2 + 15) - -1. Let z = p + -357. Suppose 5*f + 4*f - z = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 357954873.\nAnswer: 3, 17, 1933, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of m**4\/4 - m**3 - m**2\/2 + 6. Give d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (130\/455)\/((-8)\/420).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 s when three letters picked without replacement from gsudgdogssut?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(5*(-1*1*sqrt(1700)*2 + 2 + (sqrt(1700)*-1 - sqrt(1700)) + (-1 + sqrt(1700))*5))**2.\nAnswer: -128175 + 4500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 0.02, 3, -5.324 in increasing order.\nAnswer: -5.324, 0.02, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 43315355287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22036 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1008)*1 + (-3 + sqrt(28))**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 - 18. Let r = 18 - s. Let i = -11827\/3 + 3942. What is the third biggest value in r, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/(-6))\/((-2)\/4). Let h = v - -2. Let k be (-16)\/(-24)*3\/(-5). Is h < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 - 115*p + 2029. Calculate u(88).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (3 - 5) + (32 - 36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15 - -17.4. Let c = 3 - d. Let t = c - 0.5. Put t, 0, -3\/5 in increasing order.\nAnswer: -3\/5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5797006 is divided by 550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = -2*w - 11, -441*g = 3*w - 440*g - 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/1*8118\/2214.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c - 3 = -7*c + 2*y, 2*c - 5*y - 9 = 0. Put -4, c, -985 in ascending order.\nAnswer: -985, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p - 26. Let m be j(-7). Suppose 15 = -5*a + 3*o, -a + 5 = 2*o - o. Put -3, a, m in ascending order.\nAnswer: m, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 10*n**2. Let v(o) = 773*o + 3*o**2 - 773*o. What is v(b(j))?\nAnswer: 300*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 183, 240, 297, 354, 411?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 51554461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -26829000 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4568*v**3 + 3159*v**3 + 1371*v**3 + 14.\nAnswer: -38*v**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -17 - 3. Let a(d) = -2*d**3 - d**2 - d + 3. Let q(s) = 2*s**3 + 4*s - 4 - 3*s + 8*s**2 - 7*s**2. Calculate y*a(i) + 3*q(i).\nAnswer: -2*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 3381 divide 79345308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 + -1. Let w be 2\/z*(0 - -3). Solve 4*k + 2*s - 5*s = 1, s = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*k = -3 - 43 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -2031?\nAnswer: -4\/2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 9176 = 2*n - 239036. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + (10 - 1) + (-44814)\/5529. Which is the second smallest value? (a) 0.04 (b) v (c) 0.49 (d) -0.5 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x - 37*h + 38*h = -7, 3*h - 42 = 4*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**2 - 49*u + 158. Let i be a(3). Solve -1 = 3*t + f, 3*t + i*f + 3*f = 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/15)\/(2\/(-6)*33\/(-6435)*-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 61, 229, 503, 883, 1369, 1961, 2659?\nAnswer: 3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-20 - 0) + 127 + -116\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2433\/9 - (0 + (-4)\/(-3)). Suppose j = y - 332. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13608 is divided by 366.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 21*k**3 - 310*k**2 - 27986 wrt k.\nAnswer: 63*k**2 - 620*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -242 or -1575?\nAnswer: -1575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - (-1 + 7)) + -11 + (1 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -183 + 182.999899. What is x rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.1 - 0.7. Sort -0.3, l, -4\/7.\nAnswer: -4\/7, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 109*x**2 + 3*x - 18. Let s(j) = -27*j**2 - j + 5. Let c(a) = -2*b(a) - 9*s(a). Is c(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:03 AM and 1:18 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -37 + (-6 - (2 - 0)) + (-76 - -88).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177*d**2 + 160*d**2 - 339*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r**3 + r**2 - 2*r + 1. Suppose -2*n - 2*n = -64. Suppose n + 2 = -9*v. What is the units digit of d(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 5:00 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -23001211 (base 4) in base 3?\nAnswer: -2021221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-204)\/3024 - 50\/(-60)*(-4)\/(-35).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 12729 greater than or equal to 12731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4*sqrt(12)\/sqrt(4) + -2*sqrt(48))**2 + 2 + ((sqrt(3)*3)**2 - sqrt(3)) + sqrt(21)\/sqrt(700).\nAnswer: -89*sqrt(3)\/10 + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*g = -14*g + 8577. Let q = -516 - g. Is 37 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 13) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 5 = -3*g - 0*o, 5*o + 7 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -10 (b) -2\/17 (c) -4 (d) -19.261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 901*v - 134242. Determine l(149).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 36 = 2*k + 3*o, 0 = -k + 3*o + 3. Suppose -z - 2*h = -0*z - k, 3*h = -z + 7. Calculate the smallest common multiple of 16 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3641.1 + 641.9. Let s = -4283.002959 + w. What is s rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 22 = -42 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7224\/600 - (13 + -1))\/((6\/2)\/(-15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 93829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -4 + l + 0*l + 3. Let c(p) = -p. Suppose 0 = 4*b - g + 5, 19 - 1 = -3*b - 4*g. Give b*c(x) - h(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 552035 and -0.0145.\nAnswer: 552034.9855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3235, -6541, -9847, -13153, -16459, -19765?\nAnswer: -23071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -2\/19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*m + 22*m - p - 101 = 0, -12*p + 26*p = -m - 39 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 698 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**4 - x. Suppose 0*a = 3*a + 3. Let k(s) = -7*s**4 - 5*s + 1. Let c(q) = a*k(q) + 5*u(q). Differentiate c(i) with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9\/(-18) + (0 - (-11036)\/(-43856)*-2). Are r and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 63, -23313, 4 in increasing order.\nAnswer: -23313, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - 1) + (-113 - -106) - (2 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f + 9. Let g(h) = 2. Suppose -9 = -0*c - c. Let u be c\/((-3 + 4)*-1). Determine u*g(r) + 2*k(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10681 is divided by 218?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l + 5*o - 9133, 9*o + 31853 = 7*l + 4*o. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -8 - (-16 - (-218 - 13)\/11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/(-38))\/((-5)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -1\/9, -4, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -7, -2, 0, 5, -3421, 2 in descending order.\nAnswer: 5, 2, 0, -2, -3, -7, -3421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.4 + -0.5. Let n be (6\/(-9)*3)\/2. Let k be -1*n\/(1 + 1). Which is the closest to t? (a) 4 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.038 and 7.4.\nAnswer: 0.2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 2*d**2 + 4*d**3 - 3*d**4 + 2*d**4 + 3*d**4 - 3*d**4 - 2*d in the form y*d**2 + n*d + a*d**3 + z + l*d**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 391 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2322 + 2?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, v: 3, j: 1, h: 3, c: 3, y: 8}. What is prob of picking 1 j and 1 v?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/14*-2*(-28)\/(-40). Which is the nearest to 3? (a) w (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of -n**4\/4 + 7*n + 6. Let t(h) be the first derivative of r(h). Let g(b) = 4*b. What is t(g(u))?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -20, -42, -70, -104, -144?\n\"Answer: -3*i**2 - 13*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 73, 75, 85, 103?\n\"Answer: 4*i**2 - 10*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, 736, -7?\nAnswer: 736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 329 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*u**3*z**3 - u**3*z**2 - 10*u**2*z**3 - 1147119*u**2*z - 2*u - 3399*z**3 - z**2 wrt z.\nAnswer: -24*u**3 - 60*u**2 - 20394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.14 + 0.1411. Round c to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 14259, 8020, -8909, -41874, -96221?\n\"Answer: -891*x**3 + x**2 - 5*x + 15154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 - 6*g - 5. Let r be n(-4). What is the second derivative of c + r*c - 6*c - 3*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2821248?\nAnswer: 2, 3, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, c: 1, g: 3, v: 4}. Give prob of sequence ce.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -29*n - 37. Let q(u) = -10*u - 12. Let y(w) = 3*a(w) - 8*q(w). Is y(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from yooeeuomrrommreommo.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -79*a - 45. Let f(m) = m**3 + 25*m**2 - 53*m + 7. Let x be f(-27). Is j(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.88 + 0.12. Let d = -0.02 - -0.02. Which is the nearest to 1? (a) -0.3 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 0.238 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, x: 4, h: 5}. What is prob of picking 3 h and 1 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -474?\nAnswer: 1\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4201196 - 2?\nAnswer: -4201198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5753 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.0736 in -0.4, 2, 1.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 180 = -c. Let a = c + -20. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22\/4*20*12714\/(-17930).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6264\/2958*((-51)\/2)\/(-3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 - (4 - (-5 - -14)) - -8 - 26\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -123343 (base 5) to base 8\nAnswer: -11360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.06508 to three decimal places.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.04 (b) 0.4 (c) -5 (d) 6 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15293046.\nAnswer: 2, 3, 601, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -2*c**2 + 103*c + 11. Is 11 a factor of y(46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -48 + 45. Let j(t) = t**2 + 3*t - t**2 + t**2. Let m be j(q). Solve m = 3*l, 1 = -5*k + 2*l - 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 5*k = -23, k + 35 = 2*d + 37. Solve -5*p = -4*z - 21, -p = -2*z - d - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - 9. Let n = k + 8. Let t(b) = -b**2 - 9*b - 7. What are the prime factors of t(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes after 7:55 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -155207270, -155207275, -155207280, -155207285?\n\"Answer: -5*g - 155207265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*j**2*t**3 - 2*j**2*t + 93*j*t**4 + 822*j - 3*t**4 - 6*t**3 + 2*t**2 - 3*t wrt t.\nAnswer: 12*j**2 + 2232*j*t - 72*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzgr when four letters picked without replacement from {g: 6, r: 1, z: 10}.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:12 AM and 2:58 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50807 is divided by 16670.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.0843957 - -430.1046043. Let j = -428.2 + p. Let y = 0.011 + j. Put 0, -0.2, y in descending order.\nAnswer: y, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from pppllp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -41555*t**2 + 336*t + 22376700?\nAnswer: -83110*t + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 207 divide 10268720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*r + 237 = -99 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*s - 20*s = 6*s - 768 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 2*s - 4, 3*s + u = -0*s - 5. Suppose 2*h + 2*h = 0. Sort s, h, 2 in descending order.\nAnswer: 2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-217)\/42 + (-1)\/(-6))*-1. Suppose 2*f + c = -4*r - 5, 10 = -2*r. Suppose 0*g + 4*g = -a + 506, 3*a = f*g - 641. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 79603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1985 - -86.2985. Let i = l - 86. Which is greater: i or 0.051?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 0, 7*s - 30 = 2*s + 3*i. Is s > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (7\/3 + -1)\/((-2)\/(-3)). Solve a = -f - 2*j, 2*j - 25 = 5*f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*f**3 - 5*f**3 + 3*f**3 - 80*f**4 + 136*f wrt f?\nAnswer: -960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 31\/78 - -4\/39. Is -12 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1320, -2600, -3848, -5058, -6224?\nAnswer: -7340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 2*l + 20, 4*y - 5*l - 20 = 6. Let m = -7 - -11. Factor 2*x**2 - x**4 - 1 + y*x**m - 4*x**4.\nAnswer: -(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**5\/((i*(i**(1\/4)\/i*i)\/i*i)\/i*i)*(i*i**2*i*i)**(4\/7) assuming i is positive.\nAnswer: i**(185\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.044 times 30\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.6 - 7. Let u = 8124.4 + -8124. Which is the nearest to 1\/3? (a) u (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Put -4, 70721, -3 in increasing order.\nAnswer: -4, -3, 70721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u - 7. Let b be r(5). Let x be ((-10)\/15)\/(b\/36). What is the second derivative of 4*a**3 + 6*a**3 - x*a**3 - 12*a wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2919, -5826, -8721, -11598, -14451?\n\"Answer: u**3 - 2914*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 11:22 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -9*t**2 - 5*t - 7. Suppose -12*z - 8 - 2 = 26. Suppose -2*b - 8 = -6*b. Let n(s) = 5*s**2 + 2 + b + 3*s - 2*s**2 + 2*s**2. Give z*p(q) - 5*n(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 + 2*o - 21. Let q be z(4). What is the third derivative of 38*n**2 + 15*n**2 + 33*n**q - 3*n**3 + 26*n**3 wrt n?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*f + 130 + 116 - 244 + 2*f**2 - 384*f**3 - 2*f in the form i*f + l*f**3 + z*f**2 + k and give l.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -f2f - -4?\nAnswer: -f2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(4 + sqrt(2))*-4)**2.\nAnswer: 4608*sqrt(2) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 3 - 6*f + f**2 - 1 + 2 - 3*f. Let b be t(9). Find the common denominator of 418\/(-36) + b\/(-18) and 61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/(14892\/2979 + -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3519 by 18335.\nAnswer: 3519\/18335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4266, -8310, -12336, -16338, -20310, -24246, -28140?\nAnswer: -31986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(187))\/sqrt(11) + (sqrt(17) - (sqrt(17)*2 + 2))**2.\nAnswer: 21 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 - 11*k**2 + 11*k. Let o(x) = -x**3 + 4*x**2 - 4*x + 2. Let w(i) = i**3 + i**2 - i - 1. Let b(t) = o(t) + 2*w(t). Give -11*b(h) - 6*y(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -10*l**3 + l**2 + l - 1. Determine m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aammmwzaawas. Give prob of picking 1 s and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**1)**(2\/21)\/(x**(-2\/13)*x*x\/(x\/x**(4\/9))*x*x))**(-20) assuming x is positive.\nAnswer: x**(52340\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -46, -2, 1281, 6 in descending order.\nAnswer: 1281, 6, 1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 7*f**2 - 3*f + 4. Let i be g(-4). Let d be -7 - (-13 + -20 + 10). What is the highest common divisor of d and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -167\/114030 and -121\/112944.\nAnswer: 11859120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**2 - 7*l**2 + l**2)*(6*l**3 - 2*l**3 - 2 - 3*l**3).\nAnswer: -4*l**5 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11594, -1063, 9470, 20005, 30542?\nAnswer: 41081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k**2 + 3*k**2 - 2*k**2)*(k**2 - 1 + 1) + (-2*k - 3*k + 2*k)*(-5*k**3 + 5*k**3 - k**3) - 2*k**4 + 4*k**4 - 3*k**4 + 2*k**2 + 2*k**4 - 2*k**2.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59676 is divided by 19859?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7885, 7860, 7827, 7780, 7713?\nAnswer: 7620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**3 + 2*r**2 - r + 20. What are the prime factors of u(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26884083 greater than 26884084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together 2254 and -38273.5.\nAnswer: -36019.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 - 2. Let w(y) = 14*y + 1. Let d be w(u). Let h be (-4)\/d*(-5)\/2. Which is greater: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*6\/(-27) + (-70)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 106*y = -64012 + 54684 for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 3*f - 1. Suppose -9*a + 4 = -5*a. Let k be j(a). Suppose -4 = -3*t + 11. Solve -t - 5 = -k*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 + (-135)\/(-10))*2. Calculate the greatest common factor of i and 44747.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000040872 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 14847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 74, -1, 5 in ascending order.\nAnswer: -5, -1, 4, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 52172*t**3 + 109110*t**2 wrt t.\nAnswer: 313032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*h + 21*h + 18 = -4*g, -17 = h + 5*g. Sort h, 3, -65, -5 in increasing order.\nAnswer: -65, -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 327292, 657004, 986716?\nAnswer: 1316428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -33*r**3 + r**4 + r**4 + 2*r**2 + 5870*r - 5871*r in the form h*r**3 + y*r**4 + p*r**2 + f + j*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12020445, 12020432, 12020405, 12020358, 12020285?\nAnswer: 12020180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of o**2\/2 + 607. Let d(r) = -101*r**2 - 40*r. Determine d(q(i)).\nAnswer: -101*i**2 - 40*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, d: 2, x: 6, a: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 113330717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l - l - 3*l. Suppose 0*g + 4*g - 12 = 0. Let t(h) = 4*h - 3. Let f(y) = -5*y + 4. Let o(u) = g*f(u) + 4*t(u). Give s(o(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -102303200 + 0?\nAnswer: -102303200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -997018, -1993922, -2990812, -3987682, -4984526, -5981338, -6978112, -7974842?\n\"Answer: q**3 + q**2 - 996914*q - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-50*n + 17*n - 217*n)*(-2 + 3 + 0).\nAnswer: -250*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put together 2221087 and 10755.8.\nAnswer: 2231842.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together -106837649 and 9.\nAnswer: -106837640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 3\/125145094?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1\/5)*k)\/k**(-2\/3))**46 assuming k is positive.\nAnswer: k**(1012\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 753321.\nAnswer: 3, 17, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4435 is divided by 371.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 10, y: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -2*q**3 - q**2 - q. Suppose 0*c = -3*c + 15. Suppose 1 = -c*u + 6, -4*b - 3*u = 1. Let p be x(b). Solve -4*y - p = -6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-18)*(-6)\/(-38)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1245 - 365. Calculate the common denominator of 2\/(-5) - ((-7924)\/a)\/7 and 35\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -123984176, -123984173, -123984168, -123984161, -123984152, -123984141?\nAnswer: -123984128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 5*s - 45 = 0, 0 = -98*g + 101*g - s + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -148710*b**4 - 71501.\nAnswer: -594840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36480395*n - 2 + 2 + 36480395*n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eezz when four letters picked without replacement from zenzznenzl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1573) + 2 + -4)**2*1*2*6 + 2 + 2.\nAnswer: -528*sqrt(13) + 18928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y + 18. Let i be b(-16). Suppose -i*n - 76 = -35*n. Suppose -4*d - 4*v = -d - n, -d - 5*v = -18. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/7 (b) 12\/43 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41199066?\nAnswer: 2, 3, 107, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5021 is divided by 501.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 5, 13, 23, 35, 49, 65, 83?\n\"Answer: r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 172693452 and 81471?\nAnswer: 6267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 14, v: 4}. Give prob of sequence vvss.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 101307291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (22\/(-44))\/(2\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-15)\/(-315) + (-314260)\/(-105). What is the highest common divisor of g and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 AM and 6:48 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 80190? (a) 0.4 (b) -1\/9 (c) 1\/4 (d) 6 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7897 + -7887. Which is the closest to q? (a) -1\/3 (b) 5 (c) 0.2 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 385 + -168.9. Let l = -4.1 + b. Let h = l - 235.6. Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 139 = 289. Let l be (b\/15)\/1 + (-2)\/(-6). Sort 93, l, 0.\nAnswer: l, 0, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10100010 - -1001001100000?\nAnswer: 1000110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**4 - 108*f**3 + 204*f**2.\nAnswer: 3*f**2*(f - 34)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -6*a + 15. Calculate x(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -4, -3, -200, -2, 4 in ascending order.\nAnswer: -200, -6, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14720 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14312*z + 14221*z - 8918 for z.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**5*c*c**(-3\/8)\/c)\/(((c**(-5\/4)\/c)\/c)\/c**3))**(6\/13) assuming c is positive.\nAnswer: c**(261\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -6*q**2 + 6*q**2 - 1 + 5*q**3. Let a(t) be the first derivative of -t**4\/4 + t**3 - 3*t**2 + 7*t + 32. Let z be a(2). Determine u(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -5*x + 1. Let t(c) = -c**2 - 4*c + 3. Let n be t(-3). Suppose n*w - 4*w - 6 = 0. Suppose w*b = 7*b - 4. What is p(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u - 1894*u**2 - 3*u - 5 + 0*u + 2.\nAnswer: -1894*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 845854 is divided by 396?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6 + 7)*9*-1. Let j = 11 + v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90 + (37 + -5 - 45) - (2 - (-3 + 3)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be -7 + 5 - (-4)\/2. Let s = 0.8 - 0.3. Let x = 14.5 + -14.6. Which is the closest to x? (a) s (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of 0*s**2 + 2\/9*s**3 + 1\/15*s**5 + 0*s - 2 + 1\/4*s**4. Solve y(l) = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -4*n + 8, -3*d = 4*n + d + 4. Suppose -739 = -n*g - 2*p, -g + 95 = 2*p - 154. Does 35 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 99897 and 11289.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -6*c. Let n(m) = -34*m + 2. Give n(h(r)).\nAnswer: 204*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/3*150\/(-30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -58 - -63. Find the second derivative of -8*j**5 + j + 14*j**d - 2*j + 4*j wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27 + -22. Solve -n = 5*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/24209065 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(36\/423)*2\/(-1). Let c = -1539 + 1516. Is c at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -431616662, -431616666, -431616670, -431616674, -431616678?\n\"Answer: -4*p - 431616658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express n**3 - 34*n**3 + 8*n**3 + 8 as l*n**3 + z*n + m*n**2 + g and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*-1*sqrt(1088).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 11680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r + 15, 33*r + 3 = -4*c - 36*r + 70*r - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(539))*-5)**2*5 - ((sqrt(110)*-2 - sqrt(110))*-5)\/(-2*sqrt(250)).\nAnswer: -6997*sqrt(11)\/2 + 67875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -7*n**2. Let l(r) = -4*r + 3*r + 2*r - 2*r. Let y(k) = -2*k. Let v(b) = 4*l(b) - y(b). Calculate v(t(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -2*u. Let z(y) = 141*y. Give z(k(x)).\nAnswer: -282*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:45 PM and 11:07 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19451815 to the nearest integer?\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 42 and 2086651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 2 m when four letters picked without replacement from vvmvmbmmvvbvm?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the third derivative of 17\/24*d**4 + 11*d**2 + 8\/3*d**3 + 1\/30*d**5 + 0 + 0*d. What is the units digit of h(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 77464 + -143939. Let f(w) = 98474*w + 1. Let p be f(1). Let z = x + p. Round z to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c. Let v(h) be the first derivative of h**4\/6 + 13*h - 10. Let w(o) be the first derivative of v(o). Give r(w(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 211 + -204. What is the remainder when ((-32)\/(-3) + -2)*3 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**2 + 676*l. Let i(c) = 16*c. What is i(s(y))?\nAnswer: -16*y**2 + 10816*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2523 - 276 = -99*g + 4111 + 1208 for g.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16 and 49419206.\nAnswer: 395353648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does -4236 = -4237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 298 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 - 4*s**2 + 667*s + 3960. Give p(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27 is divided by 66\/12 - (-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - v + 0)*(-3*v + 5*v - 3*v - 2*v + 5*v - 2*v + (-2 - 2*v + 2)*(0 - 1 - 1))*(2 - 3 + 3) as q + b*v + x*v**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v**3 - 22*v**2 + 59*v + 522. Is l(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/13)*w)\/w**(1\/4)*(w**3)**(3\/5) assuming w is positive.\nAnswer: w**(703\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-29)\/(-21) - 8\/(-28). Which is the biggest value? (a) -2\/9 (b) 3\/13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -398 - -650. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1a8a (base 12) in base 5?\nAnswer: -101044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yye when three letters picked without replacement from {g: 2, r: 3, e: 2, y: 3, j: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 + 38*k**2 + 301*k - 291. What is p(-26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.9953891 months to years.\nAnswer: 0.166282425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 581162 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 126 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0, 1, 11 in ascending order.\nAnswer: 0, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5041 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -3*115797710\nAnswer: -347393130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 1)*(-4 + 4 - w)*(3 - 3 - 2)*(1 + 2 - 4).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2202102121020 (base 3) in base 15?\nAnswer: -1de119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -88353913.52 rounded to the nearest 1000?\nAnswer: -88354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 174 divide 149617647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**2 - v**2 - 3*v**2 + 25*v**2 - 735*v + 735*v + (0*v - 3*v + 4*v)*(0*v + 0*v + v).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 58649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000998155 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((sqrt(425)*1 - sqrt(425))*-4*2 - -4*3*sqrt(425)*-2)*-4)**2.\nAnswer: 62668800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**2 - 3426*y - 970011.\nAnswer: -3*(y + 519)*(y + 623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 456 = 15*d. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1971\/45*(0\/(-46) - (2 - (-44)\/(-12)))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1348492720 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 222 and 25197?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 11032439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l - 9. Let v be d(10). What is the first derivative of 3 - v + 0 - 6*r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*t**2 + 63*t**2 - 43*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p**2 - 3*p**2 + 4*p**2)*(-2*p - 6*p + 3*p) + (-4 - p**3 + 4)*(-1 + 2 + 0).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 33431830423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 13531345 (base 7) to base 2.\nAnswer: 100110101101000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -30 - (-48 - -10) - -59\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -1378*b**3 + 11*b**2 - 10. Let w(a) = -689*a**3 + 6*a**2 - 6. Determine 3*j(f) - 5*w(f).\nAnswer: -689*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-36)*9*16\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1076, 4317, 9726, 17303, 27048, 38961?\n\"Answer: 1084*l**2 - 11*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1639007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*o + 2*o + 0*o)*(-2*o - 2*o + 2*o) + (6*o - 3*o + 0*o)*(o - 2*o + 0*o + (1 - 3*o - 1)*(0 + 0 + 3)) to s*o**2 + l*o + a and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of -3*y**4\/28 - 2*y**3\/7 + 18. Factor n(l).\nAnswer: -3*l**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2 + 102*p + 288.\nAnswer: 2*(p + 3)*(p + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 681919.2nm to kilometers.\nAnswer: 0.0000006819192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -2*t**3 + t - 1. Let d be a(2). Let b be ((-12)\/15)\/(0 + 1\/(-5)). Let k be (-40)\/d - b\/6. Solve 4*f - 8*f = -8, 5*f = k*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g - 4. Let h be d(-6). Suppose -h*j + 5 = 1. Solve j*s = -0*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 17737.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 13) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*b**4 - 157*b**3 + 6*b**2 + 6*b - 605?\nAnswer: 24*b**2 - 942*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {a: 3, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1565 + 796. Let t = 772 + j. Solve -3*s = -i + 3 - 13, t*i = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10366751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the first derivative of 3*p**4\/16 - 119*p**3\/4 - 375*p**2 - 1524*p + 5341. Factor h(w).\nAnswer: 3*(w - 127)*(w + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*a**2 + 7291 - 3644 - 3647 + 24*a**2 + 4*a**2.\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**2 - 26*x - 6. Let v(i) = i**2 - i - 1. Suppose 2 = 2*k, -k = -5*p + 2*k - 33. Let j(l) = p*v(l) + t(l). Let j(c) = 0. What is c?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16917.2798 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10852, 21677, 32500, 43321, 54140, 64957?\nAnswer: 75772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (148239\/(-362))\/(-273)*4\/(-54)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5349791 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w = -0*w + 49. Let s(z) = 30*z - 26. What are the prime factors of s(w)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.3 + 0.7. Sort j, 1\/11, -2.\nAnswer: -2, 1\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes after 10:25 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2 * -0.017\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2*y**3 - 58*y**2 - 52*y - 663. Calculate the least common multiple of 145 and t(-29).\nAnswer: 24505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1256232, 1256234, 1256236, 1256238, 1256240, 1256242?\nAnswer: 1256244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {k: 1, j: 3, p: 3, g: 2, u: 1, s: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gsub when four letters picked without replacement from {s: 1, g: 2, b: 4, u: 1, i: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5c (base 13) in base 2?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 200, 414, 640, 884, 1152, 1450, 1784, 2160?\nAnswer: 2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.05 in -1, 3, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 261365365*x**3 - 206775186 wrt x.\nAnswer: 784096095*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 645 = 4*q - 0*q - 5*i, 0 = -2*q - 2*i + 300. Let h(y) = -4*y**3 + 10*y**2 + 6*y - 16. Let s be h(4). Let r = s + q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ck when two letters picked without replacement from zqkzqzzczzvqqcvqvq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -438*k + 433*k + 2495 = 0. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1103799315?\nAnswer: 3, 5, 73586621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + (2\/1)\/(34\/5066*-22) + 3.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001954 to six decimal places.\nAnswer: -0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 + 2*b + 1. Let h be ((-3)\/(-5))\/((-11)\/55). Let k be t(h). Find the third derivative of 6*y**2 - 5*y**k - 3*y**2 + 3*y**2 wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 12*m**3 - 14*m + 18. Is 37 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3611 - -7034. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -3390*q - 14138. Determine z(-6).\nAnswer: 6202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-5)*-1*(-6)\/81?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 9 times 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/27, 5\/4, -0.2, 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l - 10. Calculate w(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 382 at least 383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 5*s - 10 = -s, -s = -4*v + 22. Let d be ((-105)\/(-20) - v)\/((-2)\/168). What is the greatest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 4\/161681801 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1356, -5446, -12270, -21834, -34144, -49206?\n\"Answer: -u**3 - 1361*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -305 = -2*p + 11. Let v be (-4)\/(-18) + p\/18. Suppose 0 = 5*g - 2*f - 352, 3*f = 4*g - 2*f - 268. What is the highest common divisor of v and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2485*r**5*u + 4*r**5 + 37*r**2*u + 2*r - u + 64 wrt r?\nAnswer: 149100*r**2*u + 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 1 + 3 = 0. Suppose o - x*o + 72 = 0. Solve q - 6*q - 2*h = o, 2*h = 5*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71940167?\nAnswer: 13, 61, 83, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 256 >= 4872\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 50.92 - 39.966. Let r = z - 11. Round r to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -1. Let x(v) = -4*v + 5. Let c(r) = -2*q(r) - x(r). Suppose 4*n - 14 + 2 = 0. Let j be c(n). Calculate the greatest common divisor of j and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1251679 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: Calculate the remainder when 5128 is divided by 68.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-14))\/(((-352)\/6)\/44).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 5 + -2 + (0 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 70747?\nAnswer: -70751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 5 = -3*p, -p - 5*v = -4*p + 29. Solve 2*w - p*w - 10 = 2*t, -w = 5*t + 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-392)\/441 - 2710\/90.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 28 + -7. Suppose -5*l = 1 - j, -4*l = 5*i - 51. Suppose -i = -p + 2. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 4*z)*(2*z + 0*z + 0*z) + (-2 + 1 - 1)*(5*z**2 - 2*z**2 - z**2).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 967470 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 417*t**2 + 35*t + 34. Let p be z(-1). Suppose v - 1574 = 5*l - p, 0 = -4*v + 4*l + 4584. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 1020000 = -3*r. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) + (1 + sqrt(7))**2 + 0 + 1)*5.\nAnswer: 15*sqrt(7) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26 - -37. Let d = 58 + -48. Solve d = -16*o + c*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 118*n**2 + 15850*n - 26927. Give s(-136).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 2*d - 1. What is n(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 51 - 33. Calculate the remainder when 20 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 271 + -267 + (-4 - (-2 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.4 and 16.521.\nAnswer: 16.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 8*z**2 - 65*z + 2. Let d be k(5). Suppose 5*o = 2*l + 351, -2*l - o = -2*o + 371. Let q = d - l. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (117 + 9 + 341 - 55)*(-2*f + 4*f - f).\nAnswer: 412*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 PM and 1:12 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 45 - 47. Does 27 divide -1 + -10*(60\/(-8) - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 2) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -469*z - 480*z = -7592 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + 13*w**2 + w - 9. Suppose -3*s - 4*q = 2*s - 40, -12 = 2*s - 4*q. Let t = 17 - s. Let d be h(t). Solve n + 10 = -d*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1024 or 1016?\nAnswer: 1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/12 and -29\/204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 4163524604*d - 4163524606*d + 1.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 401*x**3 + 10*x**2 + 9*x - 3. What is b(-1)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + -1 + sqrt(20) + sqrt(5))*1.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -47*k - 1. Determine b(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 13067, 46, -5 in decreasing order.\nAnswer: 13067, 46, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.34 - 0.04. Let x = -18 - -13. Let i be (-1254)\/(-323) + -5 + 1. Sort v, x, i in decreasing order.\nAnswer: v, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 123 + 3103?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - (-9 + 5) - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -9*y - 107. Let o(w) = -w**3 - 13*w**2 + 13*w - 19. Let v be o(y). Put v, -4, 1 in increasing order.\nAnswer: v, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2913037609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 249*x - 248*x + 32 + 21 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/641620 and -97\/5774580.\nAnswer: 5774580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - (-14 - -21 - (-10 - -3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 5*m - 25, -1 = 4*m + 5*i - 21. Let s be -1*(-4)\/8 + 0. Sort m, s, -5\/6.\nAnswer: -5\/6, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2, -1, -0.1, -259\/9, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 960*w**2 - 365*w - 32366. What is y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(343) - (sqrt(343) - (2 + sqrt(343)))*2)*-2 + 4 - (sqrt(343)*-3*6 - (-5*sqrt(343) + -1)))**2.\nAnswer: -770*sqrt(7) + 41528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -1589*f - 5131. What are the prime factors of x(-12)?\nAnswer: 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -256 - -555. Let k = t - 298.96035. What is k rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3*((-3 + (sqrt(13) - (1 + sqrt(13)) - sqrt(13)) + 3)**2 - (1*(sqrt(130) - (sqrt(130) + -2*sqrt(130))))\/sqrt(10)) + 2).\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 168*l + 47. Let n(t) = -43*t + 2. What is -m(v) - 3*n(v)?\nAnswer: -39*v - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -7*c + 16. Let i be s(3). Let v(w) = 8*w + 5. Let t(f) = 52*f + 32. What is i*t(y) + 32*v(y)?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -188\/3 + 63. Which is the nearest to -4\/3? (a) 2 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of -148\/3*s**3 - 1\/3*s**4 - 107*s - 2738*s**2 + 0. Factor b(h).\nAnswer: -4*(h + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 6:32 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1069821*t**3 - 534940*t**3 - 534890*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1)\/p)**(-1\/38)*(p**(-1\/4)\/p)\/(p\/(p*p\/p**(2\/7)*p))*(p*p**(-3\/5)\/p*p*p*p*(p*p**8\/p)\/p)**(2\/3) assuming p is positive.\nAnswer: p**(54133\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 30397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 9:05 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1245 + -767. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-k - 2*k**4 + k + (-3*k**2 + 4*k**2 - 2*k**2)*(0*k + 0*k + k**2))*(-5 - 4 + 4) as s*k**2 + g*k + z + a*k**4 + i*k**3 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - w - 22, 0 = 2*j + w + w + 26. Let c(p) = -2*p - 13. Let g be c(j). Solve 9*m - g*m = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t\/(t*t**(2\/21)\/t))\/((t\/(t*t**(-14)\/t))\/t) assuming t is positive.\nAnswer: t**(-233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -74, -118, -162, -206, -250?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -110*d - 7051. Calculate k(-64).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the second derivative of -m**4\/48 + 15*m**3\/8 - 5*m - 4. Factor a(t).\nAnswer: -t*(t - 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -383085*b**3 + 190856*b wrt b?\nAnswer: -2298510*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -5*w, -l + 4*l = -w. Let b = l + 4. Sort b, 1, 3 in increasing order.\nAnswer: 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 32d (base 14) in base 16?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-4)*(-7)\/(-14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 7:48 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -20.1224 and 4643?\nAnswer: 4663.1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -33 + 49. Let z(c) = -10*c + 6. Let r be z(6). Let n = r - -94. What is the highest common factor of x and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1371, 805, 239, -327, -893, -1459?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(165)\/sqrt(3)*5 - sqrt(55)) + (sqrt(5500) - -3*sqrt(5500)))\/(sqrt(11) + (sqrt(385)\/sqrt(7) - sqrt(55))\/sqrt(5) + sqrt(275)*-2)*-1.\nAnswer: 44*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m**(1\/6))**(-6\/7))**(2\/53))**(-6\/5) assuming m is positive.\nAnswer: m**(12\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, 310258, -0.1, -4.\nAnswer: -4, -0.1, 1\/4, 310258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 - -54. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -756, -759, -762, -765, -768?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(-1)*k)\/k**(2\/5))\/((k\/(k*k**(-3)))\/k**(4\/3)) assuming k is positive.\nAnswer: k**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -671 + 681. Solve 5*i - 7*i + 4*b = -z, b = i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -109 - -114. Solve c - 5 = n*m, 1 = 4*m - 5*m - 3*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + 1)\/((-3)\/15). Let s(k) = -2*k - 1. Let d be s(-8). Let o be 5\/d*6\/(-8). Which is the biggest value? (a) o (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*v + 3*v - 4. Let l be (-48)\/(-9)*57 + v. Does 17 divide l\/6 - (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 24\/(-42)*21\/(-6). Let z be 1\/(-2)*(-32 + t). What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -76 + 125. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-5)*(b*b*b**(-2\/9))\/b)\/(b\/b**(1\/2))**21*((b*b**1)**43)**(32\/3) assuming b is positive.\nAnswer: b**(16247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14 - -19. Suppose o*s = 10*s - 165. Let v = 18 + s. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 9*p - 52246 = 67*p - 50421 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17.151 + -0.151. Let u = 18 - d. What is the nearest to u in 3, -3\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 44*w**2 + 3*w - 2. Let s be t(-4). Suppose 5*i = s - 95. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 84, 159, 264, 411, 612?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/24 + q**3\/3 - 2*q**2. Let a be m(0). Suppose -a*t = 4 - 10. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1820399*t**3 + 767894*t**2 wrt t.\nAnswer: 10922394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -806, -1626, -2446?\n\"Answer: -820*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31 = -4*v + b, -2*v = -v - 3*b - 16. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2291, -3054, -3817, -4580, -5343, -6106?\n\"Answer: -763*c - 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*((-96)\/40)\/(-6)*20\/(-2000).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -58002 (b) -3 (c) -4\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 280 and 5040?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*f - 160 - 12*f + 160.\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 3 + 4)*(225 + 75 + 134)*(-l - 2*l + 3*l**5 + 2*l).\nAnswer: -2604*l**5 + 868*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 654403 (base 8) to base 14\nAnswer: 59d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32806227?\nAnswer: 3, 61, 179269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 326044379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -10*j + 135. Let k(x) = 31*x - 195. What is the tens digit of k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*h + 3*h + 3*h)*((0 + 0 + 4*h)*(9 - 1 - 1) + 5*h - 4*h + 0*h).\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 137296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:13 PM and 1:16 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 - 3*q**2 + 4*q + 4. Let d = 4 + -2. Let z be ((-3 - 0) + d)*4. Let k be n(z). Solve -k*f = -2*s + f + 22, -f = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 440 and 352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 39 = -4*h. Suppose -4*r + 71 = w, 4*r - 4*w + 2*w = 74. Suppose 0*i = 2*i - 3*q - h, 2*q = 4*i - r. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 AM and 7:53 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -74\/62163 and 23\/158.\nAnswer: 9821754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 154 (base 7) in base 12?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -1162*o + 1631. What is x(0)?\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.3 - -23190122.7859\nAnswer: 23190123.0859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-420)\/(-660)*2\/7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(5) - (sqrt(180) + 1 + sqrt(180))).\nAnswer: -11*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 50 in 0, -51, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbttaababa. What is prob of sequence bt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mnmpyiuymiyy. What is prob of sequence nu?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/7 less than or equal to 2283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -119 - -1026. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86185287 divided by 222701.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -46 + 6. Suppose 3*f - f = m. Let i(o) = -o + 2. Let s(j) be the second derivative of j**3\/6 - j**2 + 2*j. What is f*i(t) + 3*s(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Expand 3*v**2 - 6*v**2 + 4*v**2 + 0*v**2 + 5*v**2 - 2*v**2 + (1 - 1 + 2)*(-v**2 - 2 + 2) + 0 + 0 - v**2 + 2*v**2 - 2*v**2 + v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, -7, -3, -23 in descending order.\nAnswer: 0, -3, -4, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3\/2 or -171?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -3, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrrrrridrrrrrdrr. Give prob of sequence rd.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.33223 rounded to three dps?\nAnswer: 0.332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 6 = -3*p, y + 2*p + 9 = -0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 0*h - 78. Calculate the remainder when (-23)\/((-483)\/1204)*66\/44 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 524, 814, 1098, 1376, 1648?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the first derivative of -5 + 0*d**4 + 1\/7*d**7 + 0*d**6 - 1\/3*d**3 + 0*d**5 + 0*d + 0*d**2. What is the third derivative of c(u) wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 282 + -273. Solve 16 - y = 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73587499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 18*f - 16*f - 6. Let r be (-1)\/3 + 73\/3. Suppose s + 86 = 4*x, -r = 2*x - f*x - s. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -35328784*s**2 + 1774*s + 4553?\nAnswer: -70657568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -2*w**3 + 6*w**2 - w + 4. What is m(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 123, 2 in increasing order.\nAnswer: 2, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00701405 rounded to four dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 - -110.3913007505.\nAnswer: 113.3913007505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2 + 3974*r - 59404. Calculate n(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79*q - 2*q**2 - 489 - 163*q + 83*q.\nAnswer: -2*q**2 - q - 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-35))\/((-3096)\/(-90) + -34)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1527, -3053, -4579, -6105, -7631?\n\"Answer: -1526*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 310538709 by 103512903.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 2 = -12*g. Let c(a) = -a**3 + 2. Let b be c(g). Find the third derivative of -20*h**2 + 8*h**b + 5*h**5 + 2*h**5 wrt h.\nAnswer: 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 253825800 to the nearest one million.\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49289210?\nAnswer: 2, 5, 331, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -u + 3 - 3*u**4 + u**2 + 4*u**3 - 3 in the form p*u + i*u**3 + z*u**4 + x + o*u**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -62 - -66. Suppose 274 = 2*x - 4*t, -6*t = l*x - 2*t - 524. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 9}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 57*a + 23*a + 12*a + 92. Which is bigger: a or -1\/627?\nAnswer: -1\/627","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2736 and 54?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1798622505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 13637411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 64632947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 0*q - 3*l - 76 = 0, 79 = 5*q - 2*l. Let g = 21 - q. Calculate the least common multiple of (-2 - g)*(-33)\/18 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 28\/(-2) - (-27)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1204015 + -4?\nAnswer: -1204022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3*c + 503 = c, 2*j - c - 202 = 0. Suppose 2*v + v = -3. Let t(d) = 10*d**2 + d. Let l be t(v). What is the highest common factor of l and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1553 a factor of 117398917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1012 and 300817?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) -6 (b) -0.035 (c) -8\/5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-41*405\/139482)\/((-3)\/(-72))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**2 + 0*n + 0*n + 5*n**2 + 0*n**2 - 2*n**2 + (3 - 3 - 2)*(4*n**2 + 5*n - 5*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 5:16 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from szzzzzszszzzzszzzzzz. What is prob of picking 3 s?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -9*f + 15. Let k(s) = -13*s + 22. Let q be 0 + 0 - (-1 - 4). Let a = 25 + -32. Let g(p) = a*v(p) + q*k(p). Determine g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 464646 and 5824?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.2 + -2.6. Sort c, -0.5, 4 in ascending order.\nAnswer: -0.5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.26 - 0.78. Let l = f - -0.4. Let v = l + -1.68. Round v to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and 0.6149?\nAnswer: -0.12298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 11:22 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1911 - 1355. Let d be h\/(-46)*(-2 + 1 + -1). Is -142 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -12*t**2 - 238*t - 1659. Give y(-7).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6618330 divided by -2?\nAnswer: -3309165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 10\/7, -5, 2\/67, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2574 - -2574.000002094. Round l to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 + -175911?\nAnswer: -175910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 570 + 572 + 0*d - 1814 + 670 - 6*d.\nAnswer: -6*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify m*(m**0\/m*m)\/m*m**(-5)*m*(m\/m**(-10\/7)*m)\/m**(-4\/5) assuming m is positive.\nAnswer: m**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2253 - -11?\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2070353.\nAnswer: 73, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 128 - 133 = -5*a. Suppose -4*p = g - 21, p + a = 5. Solve 0 = x - 0*x + g, 2*x + 13 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1 less than -55568596299?\nAnswer: -55568596300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, o: 7, a: 1, q: 7, r: 3}. What is prob of sequence oqqo?\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 13*v**3 - 9*v**2 + 5. Let f(l) be the third derivative of -l**6\/40 + l**5\/30 - l**3\/6 + 12*l**2. Determine -9*f(s) - 2*y(s).\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the third derivative of 2*t**2 + 1\/840*t**7 + 0 - 1\/160*t**6 + 0*t**3 + 1\/448*t**8 + 0*t**4 + 0*t - 1\/240*t**5. Find h, given that a(h) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*k**2 - 24*k**2 - 4*k**2 + 7*k**2.\nAnswer: -41*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - -4. Suppose 0*v = -4*v - 5*l + 45, -v + j*l = -27. Let x = 63 + -34. What is the remainder when x is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -466? (a) 0.5 (b) -5 (c) -3 (d) -0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.90213um to kilometers.\nAnswer: 0.00000000790213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9409445*z**2 - 50*z + 103277 wrt z?\nAnswer: 18818890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6\/470*4\/48. Let u = k + -30083\/2820. Calculate the common denominator of u and -19\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.23 + 0.03. Let q = 2.8 - g. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 0*c - 4\/5*c**3 - 192\/5*c**2 + 65536\/5 = 0.\nAnswer: -32, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 3 = -3*x, -x = 4*f - f + 1. Let h(y) = -7*y + 36. Let g be h(f). Which is greater: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 604841 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 PM and 5:24 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 - -79b64?\nAnswer: 79b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/(-1))\/((-1056)\/99 - -10). Which is smaller: l or -77\/37?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 6:05 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, t: 2, f: 4}. Give prob of sequence jtft.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve k = -2*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 13 (c) 28 (d) 1\/6 (e) 11798 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 18 = 6. Solve -5*t = 4*g - u, -3*t - g - 2*g = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 + 17*i + 12. Determine m(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 147, 136, 113, 72, 7, -88, -219?\n\"Answer: -v**3 - 4*v + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -18, -4\/5, 30?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (40\/14)\/((-2)\/7*-1). Let f = g - 4. Suppose 8*n - f*n - 2 = 0. Solve q = 2*q + n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 AM and 9:22 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}