{"text":"Question: Expand (33*h - 13 - 16*h - 15*h)*(-h + 1 - 1) - h - 2*h**2 - 6 + h.\nAnswer: -4*h**2 + 13*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**3 + 3*k**2 + 4*k + 10. Let c be g(-7). Let u = c - -486. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hph when three letters picked without replacement from {f: 1, p: 3, h: 5, s: 1, j: 4}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12116 - 5497. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 2*d**2 + 1 + 1 - d**2. Let m be h(2). What is the units digit of (m\/(-1))\/((-6)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/3 != 4677987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -384662 (base 12) to base 11.\nAnswer: -579427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s + 1. Let p(o) = -5*o**3 - o**2 + o. Let l be p(-1). Suppose 7 = y + c, -l*c - 9 = -4*y + y. Let q(i) = 4*i + 1. What is y*r(m) + q(m)?\nAnswer: -m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 76b2 - 6?\nAnswer: 76aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes before 6:51 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 389939*x**2 - 389939*x**2 + 10*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 1354*d + 1358*d - 49 = 0, -5*l + 2*d + 99 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-18)\/12*10\/(-3). Let d = 3 - -9. Solve -c = -n*c - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -382*q + 51964. Determine s(136).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-3\/7)*i*i**(-5)\/i)**(-33\/7) assuming i is positive.\nAnswer: i**(1254\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1983511*m**2 + 32*m - 115943689 with respect to m.\nAnswer: -3967022*m + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -8 + 859 + -874.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83596.\nAnswer: 2, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 659.99998964 + -660. Round p to seven decimal places.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-574128 - 6*g + 573380 + 4*g)*(2*g**2 - 3*g + 3*g + (3*g**2 - 2 + 2)*(3 + 0 - 2)) in the form j + n*g**2 + w*g + i*g**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(6\/7)*i\/(i**(1\/50)*i)*i assuming i is positive.\nAnswer: i**(643\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 4:46 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -345 - 41 + 91 = 42*s + 503 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 18 (b) -18\/11 (c) -2 (d) 4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11056*x**2 - 15302*x**2 + 26360*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m. Let i(v) = 4*v**2 + 2*v + 2. Let x(s) = -20*s**2 - 11*s - 11. Let b(d) = -11*i(d) - 2*x(d). Calculate l(b(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 1 = 2*r, 4 = r - 2*r + 3*p. Suppose 562 = r*m - 733. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61542585.\nAnswer: 3, 5, 13, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/18*9*12\/12*(-75)\/10.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -2*z + 20. List the prime factors of q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/14*1)\/(63\/(-24)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -2*s**2 - 3622*s + 3457762. What is k(691)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 + 34*x**2 - x - 29. Let k be v(-34). Solve f + f + 10 = 0, 4*m = -3*f + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 y, and 2 m when four letters picked without replacement from {v: 1, s: 2, m: 3, o: 1, y: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 AM and 10:49 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o*o**8*o*o)\/o)\/(o**(-1\/7)*o)*(o*o**4\/o)\/(o\/(o\/o**(3\/8))))**(-31) assuming o is positive.\nAnswer: o**(-23901\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = l - 44, 2*h + 4*l + 102 - 78 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -367, 0, -0.07, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -279*-305\nAnswer: 85095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 + 9*f**2 + 6*f - 8. Let y be d(-8). Let r = -3 + y. Suppose -4*l - 26 = -10. Sort r, l, -5.\nAnswer: -5, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + (-4 - -3) + (126 - 137).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**2 + 11*r + 5. Suppose 2*o + 5*a - 15 = 12, 3*o + 2*a - 24 = 0. Is z(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 41, 1.2, 2\/9 in decreasing order.\nAnswer: 41, 4, 1.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1373513600 to the power of 1\/2, to the nearest integer?\nAnswer: 37061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 0.04, 0.2, -3, -1.48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 2*a + 22, -4*a + 2*a + 26 = 4*x. What is the third derivative of -4*j**6 - 14*j**2 + 0*j**6 - 4*j**x wrt j?\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q - 4. Let d(i) = -2*i - 5. Let f(l) = -3*d(l) + 4*j(l). Let z(m) = m + 1. Calculate -3*f(x) - 5*z(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 4*k - 54 = -70, j - 6*k = 34 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p**4\/9 - 110*p**3 - 329*p**2 = 0. What is p?\nAnswer: -987, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 22859 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-36)\/(-15)*(-47580)\/2196)\/(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = n - 2. Let j be (18\/(-4) - -4)\/(2\/n). Find p, given that -8*p - 729*p**3 - j + 0*p - 19*p - 380*p**2 + 137*p**2 = 0.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(243) + (sqrt(243) + -1 + 4 - sqrt(243)) - -1*sqrt(243)*5)*-1)**2*2 + -2.\nAnswer: 648*sqrt(3) + 17512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 212 (b) 256\/9 (c) 3\/8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c + 3. Suppose 5*k = a - 15, 10 = -a - 5*k - 5. Let q be b(a). Suppose 0*y - 177 = -q*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*l - 8. Let s = 1 + l. Suppose -s*n = 3*y - 62, 3*y + 20 = 3*n + 2. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from gllzz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 4*y**2. Let s(o) = -628*o. Calculate a(s(l)).\nAnswer: 1577536*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 1791 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j + 9 - 2 - 9 + 2.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000003917588 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5 - 5)\/(0 - -2). Suppose c = -4*v - v - 10, 4*v + 138 = 5*m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15218.28293 rounded to the nearest one hundred?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6058203202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 - -7. Let s = 1 + i. Suppose 3*a - 7 = 5*x + 22, -2*a + 5*x = -26. Put a, -5, s in increasing order.\nAnswer: -5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1305\/(-29)*(-24)\/(-60)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -4*c - 22. Calculate the remainder when x(-9) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.23, -295, -1 in descending order.\nAnswer: -0.23, -1, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (37 - 27 - (19 - 2)) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 10617410479707 - -5.\nAnswer: 10617410479712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/8*46 + 990185\/43181.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 191580 and 1277200?\nAnswer: 3831600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 4*b = 0. Suppose -4*v + 0*v = -5*h + 33, -3*h - v + 30 = b. What is the lowest common multiple of 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + sqrt(220)\/(sqrt(22)\/sqrt(2)) + sqrt(60)\/sqrt(3)*-5)\/((sqrt(100)*-5*-4)\/sqrt(10)).\nAnswer: -3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 17 (b) -0.15 (c) -0.1 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1258651 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 - -45. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -436400 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*r - 45*r + 135*r - 47*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 - -2) + 3 + -12 + 10 - 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11111100011 (base 2) in base 11?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -32*u**4 - 2*u**2 - 1714*u + 2. Let p(d) = d**4 + d**3 - d**2 - 2*d + 1. Let a(i) = b(i) - 2*p(i). What is the second derivative of a(s) wrt s?\nAnswer: -408*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g**2 + 35*g**3 - g**2 - 24*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6193683523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.16 + 6.16. Let d = 1 + w. Let y = -7 + d. Is y at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 187 - 286. Let f = u + 153. Calculate the remainder when f is divided by (-120)\/(-16) + 1\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 4*b - 2*b)*(12*b - 5*b + 15*b).\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be -4*(-6)\/8*2. Suppose -225 = -q*c + c. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12.461 - 0.161. Let q = 12 - w. Let i = -0.2 - -0.2. What is the nearest to 0 in i, q, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 0.01, -0.1, -3990077?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1029 and 1044477.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2*s**2. Let r(a) = 1225*a**2. Let d(h) = 72*h**2. Let f(o) = -105*d(o) + 6*r(o). What is p(f(v))?\nAnswer: 88200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = -2*m + 9. Let p be ((-3)\/(-7))\/(8\/m). Sort -2, -1\/10, p.\nAnswer: -2, p, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m*m\/(m\/(m**(-16)*m)))\/m)\/m)**(-1\/3)*m*m\/(m\/(m\/m**14))*m**(-3\/4))**(-43) assuming m is positive.\nAnswer: m**(3827\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20? (a) -1 (b) 2\/11 (c) 0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2944196, 5888385, 8832574, 11776763?\n\"Answer: 2944189*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -4*i**4 + 20*i**3 + 32*i**2 - 48*i = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 10035286 <= -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -322 + 2851. What is the remainder when q is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 891 = -3*z, 2*w - 3*z = -6*z + 599. Suppose 3*j = -s + 103, -2*j + 94 = 4*s - w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2096\/31 or -67?\nAnswer: -2096\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0.34, -1\/6, 5, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -16827 + 8091 + 8092 + m**2 as s*m**2 + w + c*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, -19, -0.27, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -396\/25 + 31\/2. Is y > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18 + -13. Suppose 837 = 5*x - 2*q, -4*x + 374 + 299 = -j*q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t - 4 = -20*t + 22. Let d(x) = -x**3 + 5*x**2 - 4*x. Let f be d(4). Put t, -21, f in decreasing order.\nAnswer: t, f, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 23889 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 203886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -1341*p + 8074. Let z be d(6). Solve 13*s + 10*l - z = 15*l, 0 = -2*s + 5*l + 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001799901389 rounded to 7 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11639137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 449.8726 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be -14 - 1*(-3)\/1. Let d = -12 - l. What is the units digit of -5 + (d - -2) + 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**1\/x)**(-11\/3)\/((x*x\/(x\/x**4))\/(x**(1\/8)*x)))**(16\/7) assuming x is positive.\nAnswer: x**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.1 + 8.9. Let n = b + -11. Let a = 1 + 0. What is the closest to n in -4, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*d - 4*d. Suppose 9 = -3*q + 6*q. Factor 5*m**3 - 7*m**4 - m**4 - q*m**d.\nAnswer: -2*m**3*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -368 = 4*s - 404 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 56760\/(-1806) - 50\/(-35)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5738?\nAnswer: 2, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkab when four letters picked without replacement from {a: 8, b: 3, k: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34472, -34476, -34482, -34490, -34500, -34512, -34526?\nAnswer: -34542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 70\/160*(-10)\/35\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 68383?\nAnswer: 7, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(-2)*x\/(x*x\/x**7)*x)\/(x**3\/x*x**(-8\/3)) assuming x is positive.\nAnswer: x**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 + -1 - 3) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 108 and 4434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 AM and 2:39 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 4 = -4, -3*m + 8 = -4*j. Let b be ((-88)\/(-24))\/j - (-2)\/(-3). Solve b*p + 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 104 and 4277.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*a + 3 = -6. Let f be ((-6)\/(-4))\/(3\/4). Let s = -68\/33 + f. Which is bigger: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -682*o**4 + 1615*o**4 - 789*o**4 + (1 - 1 + 3*o)*(-3*o**3 - 3*o**3 + 5*o**3).\nAnswer: 141*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, g: 4, l: 6, p: 5}. What is prob of sequence pppp?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1848.09 - 1693.9596?\nAnswer: -3542.0496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-64)\/(-96)*(-6)\/(-4). Let i = 2209 + -2208.93. What is the second smallest value in -0.4, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 3*w = 3071 - 3072, 0 = -2*w - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 396, 308, 98, -288, -904?\n\"Answer: -9*f**3 - 7*f**2 - 4*f + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 - 3*u + 3. Let b be f(-4). Calculate the common denominator of -79\/12 and (-546)\/72 - (0 - b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 + -23. Let j = 19 + g. Factor -7*n**2 - 27*n**5 + 24*n**5 + 3*n + n**2 + 6*n**j.\nAnswer: -3*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -6 + 17 + 13 + -5 + -3. Solve 0 = 2*v + 2*q + t, -2*v = 4*q + 17 + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 377.691158 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 + 16*f**2 - 12*f - 25. Give b(-15).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 59*q**2 - 233 + 233 to u*q**2 + k + n*q and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the third derivative of y**5\/12 - 3*y**2. What is the smallest common multiple of l(1) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(-54) + (-2)\/84.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2))**(2\/13)\/(t**(-2)*t*t**(-1\/8)\/t))\/(t**(-1\/6)*t\/(t**2*t))**(-19) assuming t is positive.\nAnswer: t**(-12277\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/99, -0.58, 2, -0.11?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 6:13 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -t**2 + t + 66. Give c(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 851 - 18727\/22. What is the common denominator of s and (-3)\/(84\/10)*-5?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -215405, -215970, -216535, -217100, -217665?\nAnswer: -218230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*w - 28 + 40. Suppose 2*y = 3*j + 11, -2*y = -y + 3*j - w. What is p in 4\/5*p + 2*p**2 + 2\/5*p**y + 0 + 8\/5*p**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 15*k**2 - 1. Give c(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 - 5*j**2 + 14*j + 9. Calculate i(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-20)\/8 + 1 + (-100)\/(-56). What is the smallest value in -0.041, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 637.2139 nanograms in tonnes?\nAnswer: 0.0000000000006372139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (5*(sqrt(180) + sqrt(180)*-2) - (sqrt(5)*-1*3 + sqrt(20)\/(sqrt(4)*-1))**2) + -2.\nAnswer: -86 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 11177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.8 - -9.2. Let p = 1 - b. Let h = 8.94 + p. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25 + 322\/(-23))\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(847)*-2 + sqrt(847) + -2)**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 708 + -705. Let q(l) = 19*l**3 + 6*l - 12. What is the remainder when q(m) is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12.91 - 0.09. Let f = 17 + p. Sort 0.2, 3\/2, f in ascending order.\nAnswer: 0.2, 3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42136 (base 7) in base 6?\nAnswer: -115554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.9? (a) 1 (b) 0 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*d*n**3 + 139305*d + 2*n**3 + 1705*n with respect to n.\nAnswer: 15*d*n**2 + 6*n**2 + 1705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 34189 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/158 and (-1743)\/(-28)*(11 - 6)\/4740.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 + 4. Suppose p - u = -4*u + 16, -3*p + i = -u. Suppose -p = l, 2*l - 6 = r + 6. What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (((-21)\/(-2))\/1)\/((-940)\/(-1880)). Which is the fifth smallest value? (a) -1 (b) -0.2 (c) f (d) 1\/9 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y. Let k(z) = -3521*z. What is n(k(c))?\nAnswer: -3521*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (139*x**2 - 139*x**2 - 14*x**3)*(-9*x - 3*x + x)*(0 - 3 + 0)*(3 + 4 - 4).\nAnswer: -1386*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.02 - -0.98. What is the nearest to 0 in 2, i, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-59)\/413)\/((2\/364)\/(13\/(2340\/(-15))))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0*2\/8 + 63. Let w = 128 - z. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 6122*u - 18646*u.\nAnswer: -12524*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -s - 2*w, -36*s + 39*s = w + 8. What is the closest to 142 in s, -0.11, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/28 and ((-67)\/96)\/(260\/(-156)).\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q + 3. Let w = 4 + -7. Give v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 936.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1*(-10)\/9*108\/(-72)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2447091304 a multiple of 3997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 135, 68, -3, -78, -157, -240?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*c**2\/11 + 576348*c\/11 + 13840709046\/11.\nAnswer: 6*(c + 48029)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 736616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1725 by 75.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-2\/15))**(7\/3))**18\/(z**(-1)*z**(1\/14)*(z**(-1\/6)\/z)\/(z\/(z*z**5))) assuming z is positive.\nAnswer: z**(3517\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3\/5, -0.1, -237.\nAnswer: -237, -5, -3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 3*h - 5. Is w(5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 - t - 1. Let n(i) = 2*i**2 + 4*i - 44. What is -4*g(o) - n(o)?\nAnswer: 2*o**2 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zfzz when four letters picked without replacement from zzzzfzzfzzfzfzzzzzfz.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2724?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 240 - 244. Which is the closest to -3? (a) -3\/4 (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3716655 and 76200?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeeeeyeeeeeeeeeeee. Give prob of sequence ey.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 23790*r - 666110. Calculate g(28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 16558.588 rounded to the nearest 100?\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-1)*1140\/38190?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 2 = 2*r, -1 = f - 3*r + 12. Let w = f + 30. Let k = w + -14. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 453743534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -7416.37 - 0.6?\nAnswer: -7416.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6 and 100032.\nAnswer: 100032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 69*y - 11. Let g be i(6). Suppose -86 = -v + w, 0*w + g = 5*v + 4*w. Let a = v + -57. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66922?\nAnswer: 2, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b**2 - 4*b**2 + b**2)*(1 + 2*b**2 - 1 + (0*b + 3*b - 4*b)*(2*b - 2*b + b)).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 3.8, 2, 0.4, 1, -11\/13, 0?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 5*h - 90, -4*h + 72 = 3*y - 2*y. Let g(b) = -b**2 - 5*b + 4. Let m be g(-6). Let l = m + h. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 6452 = 4*n, -3*n + n - 3226 = 5*w. Let u = n - -4786\/3. Let g = -18 - u. What is the nearest to 1\/3 in 5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -159*h = 2*h + 1932 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of -t**4\/6 + t**2. Let h(o) be the first derivative of 32*o**3\/3 - 1064. What is i(h(u))?\nAnswer: -128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 35545 and 365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 4\/5, -0.12, 8, 0?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 53.38 and 14.\nAnswer: 747.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 5117, 4811, 4501, 4187, 3869?\n\"Answer: -2*r**2 - 300*r + 5419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -338 = -97*q - 5*b, 3*q + 3*b + 522 - 1030 + 516 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 3*s - 48. Let a be z(17). Suppose -5*v + a = -277. Calculate the remainder when v is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from kgilkgiligkjjkgijkg.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/9352 and 71\/82394.\nAnswer: 385274344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(343) + -2 + sqrt(7))**2 + (-4*sqrt(112) - sqrt(7))**2.\nAnswer: -32*sqrt(7) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 33726160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 43478370 a multiple of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -5 - (-7 + (-1 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 211 + 381 = 4*i - 4*r, -3*r + 321 = 2*i. Suppose 36 - i = -w. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4 + (-2)\/2)\/(3\/3). Suppose -5*l = -p*w + 53, -w = l + 15 + 2. Let i = -1 - l. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43523 + 561662 = 9*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 279*u**2 + 3*u**5 - 20*u + 14*u**4 - 10*u**4 + 20*u wrt u?\nAnswer: 180*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 10*z. Suppose -3*t - 4 + 13 = 0. Let i(j) = 4*j. Let a(o) be the second derivative of o**3\/2 - o. Let l(r) = t*a(r) - 2*i(r). Calculate l(b(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/33 + 1*(-8)\/44. Let c be (-3)\/(15\/(-760)) + o. What is the highest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 + 3*q - 1. Let b be z(2). Let f = -4 + b. Suppose -f*w + 49 = -31. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(29\/5))**(4\/7) assuming q is positive.\nAnswer: q**(116\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 1 + 13 = 0. Let g be t\/(-3 + 4 - 2). Solve g*b + 16 = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 3*k - 231 = -7*q, k + 47 = q. Let y be (-6 - -3)*10\/(-6). What is the greatest common divisor of y and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10562917*w**4 - 72*w - 5886.\nAnswer: 126755004*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + k + 22 + 32, 5*h = -4*k + 135. Suppose 2*v - 4*q + 36 = -16, -4*v - q = 122. Is 20 a factor of 126\/h*v\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 + -25 + 8 - (0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -78806*p*y**3 + 2*p*y**2 - 7*p + 38*y - 20 wrt y?\nAnswer: -472836*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 42c (base 13) to base 5.\nAnswer: 10324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 37 + 21 = 0. Solve -5*m = -6*m - w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -6*j + 15. Suppose 0 = -j*m + m - 8. Put 5, m, 0 in decreasing order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 - -41303.693456?\nAnswer: 41279.693456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -27633*s**3*x**2 + 5958*x**2 - x wrt s.\nAnswer: -82899*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2922786402 is divided by 16533.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 12) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -4*g + 11953. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 4*b**2 + 12*b + 5. Let j be h(-4). Solve -j = 3*f - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 809266 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 738*x**3 + 2110.\nAnswer: 2214*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/33 and -82\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 11*q + 2. Let y be k(-1). Let d be 350\/2475 - 2\/y. Suppose -d*n**2 + 4\/11 - 10\/11*n + 10\/11*n**3 = 0. What is n?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(700) + (sqrt(700) - (sqrt(700) + -1 + sqrt(700))) - (sqrt(140)\/sqrt(5))**2*-4) + ((-3 + sqrt(7) + sqrt(7) + 1)*-6)**2*-3.\nAnswer: -3343 + 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l\/(l**(2\/13)\/l))\/l*l)**(-27)\/((l*l**0)\/l)**(-1\/76))**20 assuming l is positive.\nAnswer: l**(-19980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.1563 * -118\nAnswer: -18.4434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that g**4\/3 + 460*g**3 - 3242*g**2 - 23588*g\/3 - 4161 = 0.\nAnswer: -1387, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**3 - 12*c**2 + 26*c - 52. Let f be o(10). Suppose 0 = -2*k - 5*g + 360, -f*k + 4*g = -13*k + 917. What are the prime factors of k?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 2.558131 micrometers?\nAnswer: 0.000000002558131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.492 - 400.508. Let f = h - -403. What is the third biggest value in 43, f, 0.2, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 100010011110110010 (base 2) in base 15?\nAnswer: 2bca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/((-224)\/(-4)))\/(1\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 46\/3*58066743\/(-14). Let m = f - -44496909. Round m to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.96 * 0.1.\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (6 - 2 - (21 + -15 + -10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 13 + (0 - (-2 + -2)). Suppose 14*j + 9 = i*j. Determine s, given that -2\/5 + 2\/5*s + 2\/5*s**2 - 2\/5*s**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 125*a + 92. Determine n(0).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64189 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, k: 4, h: 6, q: 6}. Give prob of sequence mq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -18882174*u**4 + 11249251?\nAnswer: -75528696*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 != -1289\/21152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -121.2271 minus 661.6?\nAnswer: -782.8271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1.545 times 0.5?\nAnswer: -0.7725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 7704779 to the power of 1\/2, to the nearest integer?\nAnswer: 2776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ryiiggggiy. What is prob of sequence ri?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is w in -4071*w**4 - 630513*w**3 - 24374178*w**2 + 2953092*w - 72072 = 0?\nAnswer: -78, -77, 2\/59, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.7599364807715 - -0.4.\nAnswer: 1.1599364807715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1380489 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 35 - 32. Which is greater: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4*d + d - 3*d)*(0 + 3 + 1) - 2*d - 2 + 2)*((-4*d + 2*d + 3*d)*(-3 + 2 + 5) - 3*d + 3*d - 2*d) + 6*d**2 - 2*d**2 - 3*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are -574 and 1478 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-75)\/(-100)*(-92)\/(-3))\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*d + 3*d - 45 + 8*d + 6*d to the form y + b*d and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 215, 54, -365, -1168, -2481, -4430, -7141, -10740?\n\"Answer: -21*q**3 - 3*q**2 - 5*q + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -4. Suppose 3*h = -f - 2, -2*f = -5*h - 3*f. Differentiate 6 - 2*o**u + 0 - 2*o**2 - h with respect to o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of -y**5\/60 + y**4\/4 - y**3\/6 - y**2. Let b = 2854 + -1647. Let s = 1210 - b. What is n(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1003223100 (base 6) in base 13?\nAnswer: 21753c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -80*b + 35*b**2 + 80*b in the form j*b + i*b**2 + z and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 429 and 15213.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -35 - -76. Suppose v + 39 = 4*h. Let i(z) = -z**3 + 8*z**2 - z + 12. Let y be i(8). Solve 4*b + y*k = k + h, -3*k = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (42\/140)\/((-2625)\/20). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 0.1 (c) -259\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 + -17.8. What is the third biggest value in l, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 98 + -110. Let o(t) = -2*t**2 - 51*t - 1. Is o(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**4 + 91594*t**3 + 2096998785*t**2 - 16781852808*t = 0. Calculate t.\nAnswer: -45801, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -3*n - 25, -p - 2*p + 4*n = -35. Suppose -p*k + 29 = -a - a, -k = a - 3. Suppose k*h - 57 - 128 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 7453 + 7454 - 14907 + 4*v. Let y(r) = 2*r + 5*r - r. What is y(a(w))?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 2:27 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -4. Suppose -1 = -3*l + a. Let 1\/2 - 1\/2*n**l + 0*n = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vpp when three letters picked without replacement from {v: 2, p: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 10 - 31 = 0. What is the remainder when 36 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) -30 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4200 divided by 40.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13.6 + -10.6. Let x = -7 + 1. Let b(y) = -y**2 - 5*y - 4. Let j be b(x). Put j, -3\/5, w in decreasing order.\nAnswer: w, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*4*((-1 + sqrt(304) + 0 - (-1 + sqrt(304) + 5))**2*-6 + 1).\nAnswer: -2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from hohhobhoohohooooo.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -7334, -14679, -22036, -29405, -36786, -44179?\n\"Answer: -6*p**2 - 7327*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve h**2 - h**2 + 4*h + 2*h**2 = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 7439.932 decades?\nAnswer: 74.39932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-184)\/(-4))\/(1 + -3). Let b = 27 - n. What is the remainder when b is divided by (-302)\/(-18) - (-2)\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -5, -19, -51, -107, -193?\n\"Answer: -u**3 - 3*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/5 + (-584)\/(-40). What is the fourth biggest value in q, 3, 1\/6, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**2 + 30*c - 204. Let n be z(11). Solve -a = 4*a - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 10524 (base 13) to base 16\nAnswer: 72fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17 + 16.9. Which is the nearest to z? (a) 3 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1287 < 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**2 - 13*w - 47. Let y(u) = 3*u**2 - 26*u - 96. What is -5*y(g) + 11*z(g)?\nAnswer: -4*g**2 - 13*g - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 2 - 4 + 5*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.926216 centuries to decades.\nAnswer: 79.26216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 5*h = 5, b = h - 5*h - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 - 9. Suppose 0 = -z + 2 + 7. Let h be (2\/9)\/(z\/27). Which is the closest to h? (a) -1 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 12*u + 104. Solve -3*l = -u + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = y - 11*y. Suppose 6 = -3*q - 3. Let r be ((-1)\/q)\/((-2)\/y). Which is the smallest value? (a) 0 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3*sqrt(440) + sqrt(440))*5)\/(sqrt(10) + (3*sqrt(10)*5 - sqrt(10))))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 + 23*t + 10. Let q be z(0). Solve -5*m - 11 = 4*l, -2*m - 3*m = 5*l + q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 5*q - 0*s - 1, 4 = 5*q + 4*s. Suppose -y - 2*y + 12 = q. Solve 0 = -0*w + y*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*y**2 - 68316*y - 583384482 = 0. What is y?\nAnswer: -17079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 5*v + 15 = -2, 5*v - 23 = t. Let u = -5 + 9. Let z be 4*2\/u + -9. Which is bigger: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -8*m + 3*m - 536894, m + 1073842 = 8*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that o**5\/6 - 68893*o**4\/3 + 4740316769*o**3\/6 + 204228617638*o**2\/3 + 1318913883840*o - 6415432329600 = 0.\nAnswer: -45, 4, 68936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.668 - 5470739?\nAnswer: -5470739.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 158*m**2 - 5 - 4*m - 1 - 145*m**2. Let s(o) be the third derivative of o**5\/15 - o**4\/24 - o**3\/3 - o**2. Determine 7*s(t) - 2*y(t).\nAnswer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -0.5, 13571, -0.3, 1\/6.\nAnswer: -0.5, -0.3, 1\/6, 10, 13571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 311 - 1?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -49*y + 18. List the prime factors of n(-17).\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 4*i - 32, 3*i + 5 = -l - 5. Let c(b) = -87*b + 0 + 88*b + 10. List the prime factors of c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 11) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -36301 - 74?\nAnswer: -36375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28906 and 1164.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6.01 + -6. Is y at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57122395.\nAnswer: 5, 11, 1038589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -16, -17, -16, -13, -8, -1, 8?\n\"Answer: z**2 - 4*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*f + 38*f + 47*f - 72*f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 7) to base 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2981 + -0.0376\nAnswer: 2980.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.003 and -53761.\nAnswer: -53761.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -431*s + 593*s - 810 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*g + g, -5*f + 3*g + 18 = 0. Find the second derivative of 18*c - 13*c**3 + 9*c - 5*c**f wrt c.\nAnswer: -108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 + -1.4. Let y = -1 + 2. Sort x, -1\/4, y in increasing order.\nAnswer: x, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the first derivative of -c**2 + 33. Let u(m) = 6*m**2. Calculate b(u(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -16*o - 10*o + 11 + 0 + 15*o. Determine l(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -21*m*w**4 + m*w**2 + 45871*m*w - 13*w**5 wrt w?\nAnswer: -252*m*w**2 + 2*m - 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 652118538?\nAnswer: 2, 3, 17, 6393319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes after 2:27 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 2 - 1 + (-5 + 5 - 1)*(-3 - 4 + 5) - 3 + 2 + 3)*(-i + 3*i + 0*i) to y + t*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(13\/4)*q)\/q*q**(-12)*q*q\/(q\/(q\/(q\/(q*(((q\/(q**1*q*q))\/q)\/q)\/q))*q)*q)*q*q**(10\/3) assuming q is positive.\nAnswer: q**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 187 - 167. Let r be 8\/(-10) - (-4336)\/s. Calculate the greatest common divisor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1113*f + 282*f - 9330 - 2531 - 2089 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.5, -0.2, -6335?\nAnswer: -6335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13.400429 + -13.4. Round w to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -665 + 664.98774. What is c rounded to four dps?\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -3.182 and -0.04807.\nAnswer: 0.15295874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 + -10. What is the units digit of (-7)\/(45\/24 - o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2395, 2108, 1607, 886, -61, -1240, -2657?\n\"Answer: -d**3 - 101*d**2 + 23*d + 2474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 + 13*n**2 - 10*n - 21. What is l(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 84 - 79. Suppose -201*q + 21254 = -27991. Calculate the greatest common factor of q and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-6)*(16761\/(-518) + 33)\/(6\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, 7, 26, 53, 88?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-345)\/20*(-71)\/((-11076)\/416)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91937 is divided by 5744?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5146 - -15439\/3. Put 5, f, 13, -4, -1 in ascending order.\nAnswer: -4, -1, f, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*h + 8*h**2 - 15*h**4 - 36*h - 11*h**3 + 0*h**3 = 0. Calculate h.\nAnswer: -1, -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(95)*1 + sqrt(95) + (sqrt(95) + -1*sqrt(95) - sqrt(95))*-4)\/((sqrt(1080)*-2)\/sqrt(6)*2).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 16898175 to the power of 1\/2, to the nearest integer?\nAnswer: 4111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -294603, -589203, -883803, -1178403, -1473003?\n\"Answer: -294600*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.022 in 10\/13, -2, 0, -8, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 7867204031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1407 and 54069?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 68335792 to the power of 1\/2, to the nearest integer?\nAnswer: 8267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*3*(sqrt(7) + -1 + -1 - sqrt(7)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16588 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**3 - 14*z**2 - 41*z - 39. Let r be o(-12). Suppose -59 - r = -4*y. What is the greatest common divisor of y and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-108)\/(-51) + (-4)\/34. Is (-11)\/(-22) - (-27)\/p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 45\/(-6)*(-36)\/5. Let r(v) = 2*v**2 + 5*v - 6. Let c be r(-6). Calculate the highest common factor of b and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 4*u - 2*a - 1, 5*a - 25 = -5*u. Suppose g - 4 = -3*p - u*p, 4*g - 2*p - 16 = 0. Solve g*k = 7 + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32758094.5 + -611?\nAnswer: 32757483.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 22.516218 microseconds?\nAnswer: 0.0000003752703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (46\/(552\/180))\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, 7, 10, 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 255088409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g + 19. Suppose -877 = -2*n - 889. What is m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + 13. What is the smallest common multiple of i and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 2326 + 11400 = 5*f, 0 = -4*f + 2*c + 7264. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66 is divided by (-3 + 51\/(-6))*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*l**5 - 79955*l**4 - 3576090*l**3 - 4365145*l**2 - 869030*l = 0. What is l?\nAnswer: -43, -1, -1\/4, 0, 4042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**4)**(-29))**24*(d**(-2)\/d)**(-2\/45)\/((d\/((d\/d**(-1\/10))\/d*d)*d)\/d**(-1\/3)) assuming d is positive.\nAnswer: d**(-27851\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1743 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 192 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -519 = -y + c, -13*c = -4*y - 8*c + 2073. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001393 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-3 + (-544)\/(-6))\/(1\/3) is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3*p = -2. Suppose 234 = 2*b + p*u, 8*b - 5*b = -2*u + 346. Suppose -7690 = b*q - 114*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1258.755ml to litres.\nAnswer: 1.258755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1874, 4089, 6616, 9455, 12606, 16069?\n\"Answer: 156*b**2 + 1747*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 + -15. Let c = 1023.063 + -1023. What is the nearest to -2\/5 in c, -4\/7, g?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18247?\nAnswer: 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22095501 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - 0. Suppose -5*l + 25 = -5*o, -2*l - 3*l + 37 = o. Calculate the remainder when l is divided by (-1 - -2 - p)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c - 4. Let w be (-9)\/(-4)*32\/(-12). Suppose 0*l - 2*l = -4*r - 28, 0 = -r - 5*l + 15. Let g(q) = -q + 3. Give r*d(p) + w*g(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2199014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -1\/6 (b) 135 (c) -492\/35 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 23 = -2. Find w, given that 221 + d*w**4 + 10*w**5 + 10*w**3 - 104 - 117 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-15\/2)*q)\/q**(-9))\/(q**(-12)\/q*q**(1\/4)) assuming q is positive.\nAnswer: q**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {t: 1, m: 3, b: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 28\/98 - (-8306)\/(-14). Let p = -565 - w. What is the greatest common factor of p and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b - 1328 + 1292 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34071347?\nAnswer: 97, 197, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -ef?\nAnswer: f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -6*(-48)\/(-180)*5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(44) + 0)*-1)**2.\nAnswer: 16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7232)\/288 - -24) + (-17)\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2 (b) -306.2 (c) -347\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -111000000000000111 (base 2) to base 16\nAnswer: -38007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 5*v - 277 = -413, 0 = 16*p + 5*v - 108 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4214445 divided by -5?\nAnswer: -842889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + (9\/12 - 1))\/((-21)\/336)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.24807691924 plus 8?\nAnswer: 6.75192308076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 26638, 53052, 79466, 105880, 132294?\nAnswer: 158708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 10e - -9?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 26 (b) 3 (c) -3 (d) 14.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -115*z**2 + z. Let o be r(5). Let x = -1611 - o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {m: 5, w: 1, x: 1, d: 3, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21962577.\nAnswer: 3, 7, 13, 80449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3.676257 and -6?\nAnswer: 22.057542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 5*j + 12 = 0, -284*c + 288*c + 6 = 11*j - 10*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5794, 5, 1, -4 in ascending order.\nAnswer: -4, 1, 5, 5794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)*2*2)\/(2*sqrt(48)\/sqrt(4)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3 + 1)\/(4\/14). Let m be 3\/(-10) - (2465\/50)\/29. Put h, 4, m, -5 in descending order.\nAnswer: 4, m, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6683 - 661640\/99. Calculate the common denominator of y and 49\/369.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of -s**6\/72 - s**3\/3 - 5*s**2. Let p(b) be the first derivative of q(b). Let n(o) = -4*o**2. What is p(n(c))?\nAnswer: -80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 + t + 0*t**3 - t**3 + t**2 - 2 + 0*t**3. Let j be i(2). Suppose 5*n + 5 = -j*n. Is 2\/31 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0402 - -828.9598. Let h = -846 + g. Let w be (-2)\/18 - (-1)\/3. Which is the fourth smallest value? (a) w (b) -0.5 (c) h (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76) - (-4 + -1 + sqrt(76)) - 1*(3 + 0 + sqrt(19)).\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 108 = -d. Suppose d*n = 19*n - 2. Suppose 2*b + n*y = 26, -3*b + 2*y + 14 = -b. What is the smallest common multiple of 1 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9*((-153)\/(-68) + -2 - 14\/48). What is the biggest value in -0.06, 61, o, -0.3?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -704993\/5 - -140507. Let t = 523169\/1065 + h. Let m = t - -2\/71. Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 57736 and 24?\nAnswer: 173208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 + -8. Solve -q*h - 8 = -23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*b + 7*b**4 - 13*b**4 - 2*b**3 - 3*b**2 + 10*b**4 to i*b**2 + r + w*b**3 + g*b**4 + d*b and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the second derivative of -w**4\/12 + w**3 + 4*w**2 - 2*w. Calculate the lowest common multiple of d(7) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23407417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 - 0 - (1 - -1). Let m(z) = -5*z**3 + 2*z**2 + 2*z + 1. Let b be m(x). Suppose 20 = -w + b*w. Solve w*d = -n - 4*n - 1, -2*d - n + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*w - 8*w + 17*w = 0. Suppose -10*b + 2214012 = 3*g - 7*b, w = 2*g + 5*b - 1476020. Round g to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -125 and -121.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/3690 and 68\/1824705.\nAnswer: 3649410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 498 + -495. What is the fourth smallest value in 1\/3, 0.07, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11184370 take away -0.9?\nAnswer: 11184370.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/(-3))\/((-38)\/(-19))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -6. Let d be (2 + h + 3)\/1. Suppose d*p + 0*w = 3*w + 9, -2*p + 6 = 2*w. Solve 0 = p*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from fvvnvmnfvvfn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be 31 + 0 + -9 + 30. Solve 7*m + 6*m + d = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -6*l**2. Let k(v) = -v**3 + 12*v**2 - 13*v + 25. Let n be k(11). Let a(o) = 0*o + n*o - 14*o. Give a(u(j)).\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/30)\/(6\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17866, -19973, -23484, -28399?\nAnswer: -34718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + k - 1740 = 0. Suppose 6*o - 2*o = k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 900*f**2 - 900*f**2 + 109*f**3.\nAnswer: 109*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 50, 22, 4, -4, -2 in descending order.\nAnswer: 50, 22, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 70 (base 9) in base 5?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12399107.\nAnswer: 7, 37, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*g - 7*g + 0*g)*(-46*g**2 - 73*g**2 - 15*g**2)*(g + 0 + 0 + g + 1 - 1 + (0*g + 0*g + g)*(-2 - 3 + 4) + 4*g - 4*g + 2*g + 3*g - 4*g + 2*g).\nAnswer: 1608*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 2*x**3 + 47*x**2 + 218*x - 10. What is y(-6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1107, 1661, 2215?\nAnswer: 2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 4. Suppose -4*g - 64 = -p*g. Find the common denominator of 2\/g*12\/2 and 5\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((54\/6)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2039160261 to the power of 1\/2, to the nearest integer?\nAnswer: 45157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -6*(-4 + (-1 + sqrt(147) + 3 + 2*(sqrt(147) + 1*sqrt(147)) + 2)**2)*-3.\nAnswer: 5040*sqrt(3) + 66363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**2 - 187*f - 4210. Determine t(-161).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -734 = 49*j - 391. Let r(g) = -7*g + 11. Give r(j).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 86? (a) -2\/15 (b) -5 (c) -2\/19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*g + 132 = -148 + 93. Let l(m) = 7*m - 59. Calculate l(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 PM and 1:45 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20579589 and 11745.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 619*k**4 + 95*k**3 + 77*k**2 - k - 109743153.\nAnswer: 7428*k**2 + 570*k + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/4 + (-63)\/(-6). Suppose -3*b + 2 = -a. Suppose b*p - 12 = -0*p. Solve -7*r = -p*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 696260 is divided by 232069?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3\/19 - 32*t**2\/19 + 8*t - 160\/19.\nAnswer: -2*(t - 2)**2*(t + 20)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/((-2)\/(-3)) + 7. Solve b + 1 = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 39 - 39. Let c(f) = -f**3 - 7*f**2 - 8*f - 8. Let l be c(-6). Put -1, b, l in decreasing order.\nAnswer: l, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 792\/2772 + (-1 + 0 - ((-962)\/(-770) + -2))\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from idi. Give prob of sequence idi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1147537 (base 10) to base 14\nAnswer: 21c2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 2*q + 90. Let a be o(-42). Solve f - a = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvqqvvq. Give prob of picking 3 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l*u**4 + 362*l*u**2 - 2*l*u + 1567*u**4 + 2*u**3 + u**2 wrt u?\nAnswer: 48*l*u + 37608*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-8) + 57\/18 + -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 90 and 21402.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -0 + 10. Let l be (2 + -5 - -5) + n. Solve -v = b + 3, 4*v + l*v + b = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 69.09433 millilitres?\nAnswer: 0.06909433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 23*t - 22*t - 242. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17 - 28. Let n = 13 + u. Find the third derivative of -2*a**n + 5*a**2 + 0*a**2 - 58*a**5 + 66*a**5 wrt a.\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12 + 12. Solve 0 = -g - k*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -13 and 1.5439.\nAnswer: -20.0707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*r = 6*r - 1092. What is the remainder when 971 is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3802, -3867, -3982, -4147, -4362?\nAnswer: -4627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6.174583 - 0.093283. Round w to 1 dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -3*k - 9. Let n(y) = y**2. Give n(g(z)).\nAnswer: 9*z**2 + 54*z + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (173*j**2 - 2435 + 2435)*((2 - 2 + 2*j)*(-1 - 2 + 2) - j - 226 + 226) in the form t*j**3 + h*j + f*j**2 + b and give t.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -0.14 (b) -59 (c) 3252 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**9*x**10*((x**(-2)\/x)\/x)\/(x\/x**(-6\/13)) assuming x is positive.\nAnswer: x**(176\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 552 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f - 5. Let q be j(47). Let i = q - -5. Let l = 36 + -12. What is the remainder when i is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-24)\/(-6) - (2 - 1)) + -3. Let n be (-2)\/(-6) - a\/1. What is the nearest to -1 in n, -5, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*n + 5*n**3 + 0*n**3 + 2*n**3 - 2*n**3 to the form c*n**3 + a*n**2 + x + m*n and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 3236403 by 56779.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 131932744 divided by -8\nAnswer: -16491593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 2 j when four letters picked without replacement from {z: 4, p: 1, j: 2, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add 68899 and 5.\nAnswer: 68904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**2 + 2*g - 5. Determine n(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-810)\/(-675)*30\/(-28)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 24976 - 14757. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tp when two letters picked without replacement from {m: 1, g: 4, t: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 71*q - 220. Let x = 810 + -787. List the prime factors of h(x).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -1687.\nAnswer: 1\/1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 = -0*x - x - 4*c, -3*x + c + 8 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 21719 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from foffffffffffoooro. What is prob of sequence frf?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 + 8. Suppose -8*n - 13*n = -36*n + 8*n. Solve 0 = s*m - 6 - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6248 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 16*w**3 + 3*w**2 - 3*w - 1. Suppose 0 = 6*n - 275*n + 573 - 35. What is m(n)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2\/21 (b) 37 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of -z**7\/168 - z**6\/360 - 35*z**3\/6 - 3*z**2 - 2*z. Let y(n) be the first derivative of k(n). Let y(r) = 0. Calculate r.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 4*g + 3*s, 5*g - 1 = -s + 14. What is the remainder when 7 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 686471 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*g)*(-220 + 281 + 423).\nAnswer: 968*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r - 5*i - 5, r + i + 4 = -3*i. Let k(o) = o + 10300. Let s be k(r). Round s to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1499649400 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -5*r + 3*p - 0, 0 = r - 5*p - 18. Suppose r = u - 21. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 154626113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {g: 7, k: 2, s: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -543*w**2 - 26*w - 20*w - 25*w + 71*w as a*w**2 + k + t*w and give a.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -135 - -543\/4. Which is greater: -0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9859276.\nAnswer: 2, 7, 223, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(170)*1*6 - sqrt(170)))\/(sqrt(80)\/(sqrt(72)*-1)))**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 4438.87l to millilitres.\nAnswer: 4438870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {p: 5, f: 8, r: 7}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*n + 10*n = -12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-53592)\/(-8624) + (-26)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 4110198020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -i - 3*a - 0, -5*a - 17 = 3*i. Let f(u) be the third derivative of u**4\/3 + u**3\/6 + 2*u**2. Determine f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*o = -31*o - 16, 2*g + 30 = 5*o. Let u(a) = -9*a - 5 - 18 - a. What is the units digit of u(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7148 + 15284. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 AM and 5:54 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 19080*n - 1545478. Calculate m(81).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2421 + 4605. Suppose 5*j - h = 8*j - 2180, t = 3*j + 3*h. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(-3\/4))**3)**48)**(-18) assuming h is positive.\nAnswer: h**1944","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 73*o - 2 + 1 - 171*o + 1. Let d(h) be the second derivative of -h**4\/6 - 5*h. Determine d(l(m)).\nAnswer: -19208*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*j - 2*r + 4, 9011*r + 24 = -18*j + 9013*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*l**5 - 55*l**4 - 305*l**3 + 115*l**2 + 260*l - 60 = 0. Calculate l.\nAnswer: -2, -1, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 392547503?\nAnswer: 149, 277, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c + 30*c - 18170 = 0. Suppose -2*i = 3*o - 385, -c = i - 5*i - 2*o. Calculate the remainder when i is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8099\/23 + -352. Let x = 35\/92 - w. Factor -x*y**4 - y + 0*y**2 + 0 + 3\/4*y**3.\nAnswer: -y*(y - 2)**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(-3)*14\/(-2). Suppose x - s = 11. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2. Let y(q) = 970*q**2. Calculate a(y(k)).\nAnswer: 940900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 40*u**2 + 7*u - 4. Determine f(3).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4538220 divided by -1512740?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/5)*o\/o**15)\/((o\/(((o\/o**11)\/o)\/o))\/o**(-9)) assuming o is positive.\nAnswer: o**(-182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*b*p**3 + 12*b*p + 156971*b + 43*p**3 with respect to p.\nAnswer: -6*b*p**2 + 12*b + 129*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-14)\/(-4))\/((-9)\/(-54)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 7 + 40bbb?\nAnswer: 40bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 682*a - 8562. Is j(52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/42*539\/10010)\/(12\/10)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -57, -92, -93, -42, 79?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 551.0048 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*p**3 + 3*p**3 + 5*p**3 - 4 + 4*p**2 - 2*p**2 to the form d*p**2 + w*p + f*p**3 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -62 + 63. Let y(m) = -4*m**3 - 7*m**2 - 4*m + 5. Suppose p - 3 = -8. Let t(b) = -b**3 - b**2 - b + 1. What is h*y(v) + p*t(v)?\nAnswer: v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -30485*o + 30509*o + 120. Let j be 2 - 11\/(1 - 2). Sort j, -1, o in decreasing order.\nAnswer: j, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*-1 + (-15 - (-2 - -4)). Let k be 16\/t*(-1 - 17\/(-22)). Let u = 7 - 3. Which is the closest to -2\/5? (a) k (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**25*l**(3\/10)*l**8\/(l*l\/(l\/(l*l**(-6\/19)))) assuming l is positive.\nAnswer: l**(6007\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 3 + (sqrt(252)*1 + 2 - (2*sqrt(252)*-3)**2).\nAnswer: -9062 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 - 7*q**2 + 12*q + 5. Suppose 5*w - 14 = 6. Let h be y(w). Solve -h*c + 6 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-128)\/48)\/(3\/9))\/1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42938975 and 7282?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 278\/5 - 56. Which is the third biggest value? (a) k (b) 0.1 (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 11*h + 32. Does 17 divide o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*p + 4*u + 16 = 2*p, 4*p + 2*u = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (2*sqrt(2541)*-2)\/(sqrt(363) - (sqrt(363) - (sqrt(363) + sqrt(363) + (sqrt(363) - sqrt(363)*-3)*6)))*-3)**2.\nAnswer: 60*sqrt(7)\/13 + 4477\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 16*a + 3. Let v be s(3). Let b(z) = -24*z + 145. Let o be b(6). Let d = v + o. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yhch when four letters picked without replacement from nnnnhcnynnhynnnn.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/167 (b) 1 (c) 112.6 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 1371*j. Let i(f) be the third derivative of -f**4\/24 + 19*f**2 + f + 22. Give i(c(t)).\nAnswer: -1371*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3.127879 kilometers in centimeters?\nAnswer: 312787.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -22*c + 5. Let l be s(-2). Let x = -46 + l. Suppose -x*i + 101 = 5*d + 31, 0 = d - 3*i - 32. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a. Let w(r) = 2*r - 1. Let g(p) = -5*k(p) - 2*w(p). Let x be g(-14). Is 1*(-4)\/x*201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 21 = -9. Suppose o*c - 249 = -f, -7*c + 981 = 4*f - 4*c. Let b = -40 - -67. What is the greatest common factor of f and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 228947377 to the power of 1\/2, to the nearest integer?\nAnswer: 15131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of v**5\/10 + v**4\/2 + 2*v**3\/3 + 41*v. Determine u so that s(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -4.2, -0.2, -77\/9?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.1 + -0.4. Let c = 759.1 + -759. Sort -1, c, o.\nAnswer: -1, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(187))\/sqrt(11) - (sqrt(17) + 1)*-6)**2.\nAnswer: 48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 89*m - 35. Let q(t) = 180*t - 64. Determine -6*q(y) + 11*v(y).\nAnswer: -101*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve o = 2*h + 1, 3*h + 3*o + 18 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -17*z + 570. Determine r(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5*sqrt(2736)*-1 + 0).\nAnswer: -300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -25139302 equal to -25139324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 3 + c**2 + 4*c + 2*c + 0*c. Let a(z) = z**3 - 7*z**2 + 15*z - 60. Let u be a(6). Give s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -88*m**2 + 200*m**2 + 1421*m**2 + 5*m**2 + 0*m**2 - 2*m**2 - 1 + 2*m**2 + 1 + (5*m - 4*m + 0*m)*(-1 + 1 + 2*m) in the form l + f*m**2 + v*m and give f.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 52\/69 and -47\/7.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1607 - -2746. What are the prime factors of b?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 257350 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: Rearrange (9 - 20 - 2)*(-134*g + 557*g - 1 + 263*g) to the form s + o*g and give o.\nAnswer: -8918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 467957 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4984000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g**4 - 72705*g**3 - 1091325*g**2 - 5457875*g - 9097500 = 0 for g.\nAnswer: -5, 14556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 + 9*j**2 + 2*j + 6. Let b be y(5). Does 10 divide 218\/12 - (b\/(-24) - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*s + 0*s + s + 0 + 2*s + 0 + (-4 - s + 4)*(-3 + 0 + 1))*(s + 0*s - 3*s) in the form j + o*s**2 + l*s and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 29 + -26. Is c > 13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 282*k**3 + 10*k**2 - k - 20. Let q(c) = -94*c**3 - 3*c**2 + 6. What is -2*n(y) - 7*q(y)?\nAnswer: 94*y**3 + y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2729 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1528609 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 192d24 (base 15) in base 8?\nAnswer: 4530005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1790 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 32140.282 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -358*k**2\/5 - 71707044*k\/5 - 400598\/5.\nAnswer: -2*(k + 200299)*(179*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**5*m**5*m)**(3\/46) assuming m is positive.\nAnswer: m**(18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 14\/3 (b) 6.7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.81 times 0.08?\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 624, 2043, 3748, 5745, 8040?\nAnswer: 10639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 59286459523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b - 24 = -13*b - 2*h, 2*h - 12 = 0. Sort 3, -43, b, 0 in increasing order.\nAnswer: -43, 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-5))**21\/(((t*t**(-11)\/t*t)\/t*t*t)\/t**3) assuming t is positive.\nAnswer: t**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1087271*d**2 + 7*d + 8*d + 1087264*d**2 - 15*d.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -13, -7, 17, 65, 143, 257, 413?\n\"Answer: b**3 + 3*b**2 - 10*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -44, -94, -176, -290, -436?\n\"Answer: -16*z**2 - 2*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116 is divided by 71?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -162 - -369. What is the remainder when h is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (3*2)\/((-2)\/(-3)) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-172800)\/4406400*(0 - (5\/2 - -2))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 + 337 = 67*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-31 + 42 - (-8 - 0)) + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 - -28. Let u be 8*(4 + q\/(-2)). Suppose 0 = 4*v - 5*v - 3, u*h - 13 = 3*v. Calculate the remainder when 3 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*v - 2*v**3 + v**4 - 2*v**2 - 4*v + 3*v + 4*v to the form l + j*v**3 + i*v**4 + p*v**2 + o*v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 153898, 307926, 461916, 615850, 769710?\nAnswer: 923478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74479, 74416, 74353, 74290, 74227?\nAnswer: 74164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.36 - -0.57. Let n = r - 1.21. Suppose 2*t = 4*w + 8, -5*t + 4*t + 8 = -3*w. What is the closest to 1\/4 in 4\/3, n, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m**3\/2 - 21*m**2 - 147*m\/2 = 0 for m.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, w: 7, h: 3, p: 4, m: 1}. What is prob of sequence wwp?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.09 * 69426.47.\nAnswer: 6248.3823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-6)*-2*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -2*b**2. Let x(i) = -i**2 + 25. Let w(a) = 1264*a**2 + 100. Let g(d) = -w(d) + 4*x(d). Determine s(g(z)).\nAnswer: -3215648*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 + 3*c + 2. Let k be i(3). Solve 5*s + 3 = 5*b - 2, -4*s = -k*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of 2*l**2 + 2. Let u(z) = z**2 - z - 1. Let h(i) = -5*i**2 + 6*i + 6. Let r(t) = h(t) + 6*u(t). Calculate n(r(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/((sqrt(168)\/sqrt(7))\/sqrt(3)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1026 - 2138986788.\nAnswer: -2138985762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/32 - (-45)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least -2\/1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o + 2. Let z(v) = 305*v - 732. Calculate 1830*k(w) + 5*z(w).\nAnswer: -305*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2440 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/6)\/((-2)\/(-6)). Let l(y) = y**3 - 5*y - 2. Let a(r) be the first derivative of 0*r - 1\/2*r**2 + 3. Give i*l(n) - 3*a(n).\nAnswer: n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 56 = 5*d, 2*d = 2*h + 8 - 40. Let z = h - 11. What is the highest common divisor of z and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.04 (b) 2.6 (c) 1 (d) 190536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43961 is divided by 43956.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10813 - 6050. Suppose c + 0*c - 943 = 3*k, 5*c = -k + o. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:01 AM and 7:25 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 2*c**3 + 32*c**2 - 43*c - 132. Let h be s(-17). Solve -254*k + 257*k = -h for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*l**4 + 5*l**4 - 4*l**4 + 1 - 1 + l**4 + (0*l**2 + 0*l**2 + 2*l**3)*(4*l + 3*l - 5*l) + 3*l + l**4 - 17 + 17 - l**3.\nAnswer: 4*l**4 - l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00685266 to five decimal places.\nAnswer: -0.00685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 240 and 232720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(171)*-1)\/sqrt(3))\/(-2*(sqrt(3) + sqrt(9)\/sqrt(3))))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve g = -g - 3*f + 12, -g - f + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 + 2 + (-1 - -1). Suppose z + 14 = 4*j, -z - 4*j = z + q. Let g = -5 - z. Solve w = g + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02848802 rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8971.\nAnswer: 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1010*w**5 - 3073*w**2 wrt w?\nAnswer: -60600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**3 - 15*n**4 - 22*n**4 + 44*n**4)*(7 - 2 - 3).\nAnswer: 14*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-504)\/12 - (-17440)\/160.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - 3)\/((-10)\/((-4300)\/(-15))). What is the greatest common factor of u and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -464 = -2365*x - 2349*x + 4660*x + 2398 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 0 + -1 - 18*(-13)\/28 and 63\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (45\/(-350))\/((-162)\/378).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -352 - -352.341. Let t = 0.22 - x. Round t to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -5*l**2 - 8265*l - 41200 = 0.\nAnswer: -1648, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -498*r**4 + 28911*r**2 + 1471*r**4 - 34 - 28911*r**2 - 6*r - 1 wrt r?\nAnswer: 11676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-3))\/((676\/(-741))\/26).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 2064327?\nAnswer: -4\/2064327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 360\/(-17680)*-17*7\/(-42)*16?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -3*y**2 + 59*y - 152. Let n(t) = -2*t**2 + 39*t - 101. Let a(r) = 5*l(r) - 7*n(r). What are the prime factors of a(11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31 - -24) + (-988 - 4)\/(-16)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.09*104.\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -65 + 142. Suppose -a = -5*g - 134, -3*g + 81 + q = a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -235*w. Let z(g) = 9*g**2. What is j(z(f))?\nAnswer: -2115*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/(-16)*(-2)\/(-3). Let h = -4.99 + -0.01. Is a > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6010\/87 <= 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29 + -29. Suppose 0 = -4*y - 3*v + 345, 3*y + 2*y - 4*v - 439 = z. List the prime factors of y.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3106 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*c + 4*b + 39 - 10, b = -4*c - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 14548 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -15076057 to the nearest one hundred thousand.\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 - 2)*(495 + c + 0*c - 490 - 2*c**3).\nAnswer: -2*c**3 + c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times 273092\nAnswer: 109236.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*a**2 - 4256*a + 4256*a.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*f**2 + 3039705*f.\nAnswer: -5*f*(f - 607941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8 is divided by ((-6)\/(-1))\/((-12)\/6 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 1, d: 1, z: 1, h: 2, q: 1, x: 1}. What is prob of sequence qxhz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -422*t - 394*t + 294*t - 4*t**2 + 15*t**3 - 3*t**4 wrt t.\nAnswer: -72*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 - 11*f**2 + 11*f - 4. Let h be w(10). Let m(s) = 5*s - 5. What is the units digit of m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 7, -4 in increasing order.\nAnswer: -10, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c + 19*c = 104. Let q(w) be the second derivative of -5\/2*w**2 - 6*w + 1\/6*w**3 + 0. Determine q(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 5*a**2 + 25105*a - 5*a**2 + 227 - 25044*a + a**2. Determine q(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 9*m - 8*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 309 a factor of 3250062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 14 divided by 499639?\nAnswer: 2\/71377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2448, 2436, 2410, 2364, 2292, 2188, 2046?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 351037*x**4 + 901*x**2 + 127*x wrt x?\nAnswer: 8424888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/2478 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*q + 1151 = 204*q - 2643 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23 - -33. Let w = 58 - z. Solve 0 = w*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3386*w - 244*w + 552*w + 612*w + 825*w.\nAnswer: -1641*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 304 = -k + 316. What is the remainder when 49 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192038.\nAnswer: 2, 7, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**2\/17 - 174*l\/17 + 906116\/17 = 0. What is l?\nAnswer: -718, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30232, 120920, 272068, 483676, 755744, 1088272, 1481260?\nAnswer: 1934708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 288*t**3 + 13*t**2 - 173260 wrt t?\nAnswer: 864*t**2 + 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -6 divided by -5297?\nAnswer: 6\/5297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 59156399453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y - 3 = -5*y. Let j(v) = -v**3 + v**2 - 3*v + 1. Let z(g) = g**3 - g**2 + 5*g - 3. Determine y*z(w) - 5*j(w).\nAnswer: 2*w**3 - 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2*b - 1 + 1)*(-2 - 2 + 2) + 3*b + b - 2*b)*(-3 + 0 - 2) + (-1 - 2 + 5)*(3*b + 0*b - b) in the form c*b + y and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -0.09, -3, -2 in descending order.\nAnswer: -0.09, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 2869 = -279. Let o = z - 356. Is o\/(-9) - (0 - -1) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5271*b + f - 122 = -5275*b, 0 = 63*b + 3*f - 1947 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -19*y - 299 - 803. What is the units digit of (-1 - 1)\/(y\/29261)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -43*z - 7. Let q(i) = -22*i - 4. Calculate -3*f(g) + 5*q(g).\nAnswer: 19*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from azza. What is prob of sequence zaaz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 1216800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 35 (base 7) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 - 44*t**2 - 72*t + 507. Let u be r(-42). Solve -6 = -2*n + 4*y, -3*n + 2*n = -u*y - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (-22 + (14 - -36)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 14\/(-5)*(-260)\/104. Let x(z) be the third derivative of 2*z**2 - 1\/280*z**u + 0 + 0*z**3 + 1\/96*z**6 + 0*z - 1\/96*z**4 - 1\/240*z**5. Factor x(h).\nAnswer: -h*(h - 1)**2*(3*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28524.\nAnswer: 2, 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1450.746 nanoseconds in seconds?\nAnswer: 0.000001450746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.024? (a) -121 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.2 (b) 193.5 (c) 1\/2 (d) -2\/11 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1235*j**2 - 1276*j**2 + 3 - 3.\nAnswer: -41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + t - 20 = 0. Solve -2*m + i + 15 = 0, t*m = -3*i + 9 + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6909.3 - -6909.437266. Let f = p + 59.860634. Let g = 60 - f. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**4 - 8*j**3 + 8*j - 4.\nAnswer: 4*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 2*a - 2*a + 82*a**2 + 97*a**2 + 462*a**2 as q + s*a + h*a**2 and give h.\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((45\/(-5))\/9)\/(-33))\/((-253)\/759).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k**3 + 12*k**2 + 0*k**3 + 4*k - 37*k**2 to b*k + p*k**3 + n + q*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6358404 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(112)\/sqrt(4) - sqrt(28)) - (sqrt(1372)*1 + sqrt(1372)))\/(-4*(3*sqrt(256) + sqrt(256) + sqrt(256))).\nAnswer: 7*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1282759229 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-33)\/387*30\/(-110)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -5*g + 2. Let j(w) = w**2 - w - 4. Let a be j(0). Let d(v) = 51*v - 21. Let q(f) = a*d(f) - 42*c(f). Let o(x) = 5 + x + 2 - 7. Calculate o(q(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/2 and -77\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*x**3 + 471*x**2 - 2*x + 5286.\nAnswer: 42*x + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6 + 230?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -796, -1569, -2324, -3049, -3732, -4361, -4924?\nAnswer: -5409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 6215 divide 44716925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(3) + (sqrt(189)\/sqrt(7))**2).\nAnswer: 4*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.04, 1\/4, -1\/4, 0.1 in ascending order.\nAnswer: -1\/4, -0.04, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 135 less than -226817?\nAnswer: -226952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 9*g = 5*g + 15, -2*m = 2*g - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -6*l**3 + 21*l**2 + 10*l - 15. What is k(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 140 and 4144.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 30 * -4505180\nAnswer: -135155400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -91 + 233 - 36?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -4*y**2 + 569564*y - 569560 = 0. Calculate y.\nAnswer: 1, 142390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -6465000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**5\/7 + 22*v**4\/7 - 10*v**3 + 50*v**2\/7.\nAnswer: -2*v**2*(v - 5)**2*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.008 (b) 4\/3 (c) -9 (d) -2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/(-9))\/((-6)\/27). Suppose v*r - 4*r = -66. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -53 - -53.00016. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4 + -30268)\/(-12)*1. Suppose -8 = -4*o + 40. Suppose o*f - 10*f = t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -12*y + 14. Let x be t(4). Let d = -30 - x. Suppose 0 = -d*m - 56 + 256. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 254626.\nAnswer: 2, 17, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11734854 - -35861718409\/3056. Let k = l - 1\/3056. Let 3*q**3 + 0*q - k*q**2 + 0 = 0. What is q?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -120 divided by 93.\nAnswer: -40\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the first derivative of 0*f + 0*f**3 + 6 - 2*f**2 - 1\/8*f**4 + 1\/20*f**5. Let d(a) be the second derivative of v(a). Suppose d(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2411*h = 2472*h + 976 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 659638098 to the nearest 1000000.\nAnswer: 660000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -65*d**3 + 86*d + 18 - 240*d**2 + 49*d - 56 + 38 + 10*d**4 = 0.\nAnswer: -3, 0, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*j**4 + 162*j**2 + 10*j**4 - j - 61634*j**3 + 61637*j**3 as s*j + h*j**4 + m + r*j**3 + z*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and -0.109.\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -3916.\nAnswer: 1\/3916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -21 - -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -5*g + 3 + 1 - 4. Let m be v(-1). Suppose m*l - 60 = 5*u, 0 = -2*l - 0*u + u + 28. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q = 5*c + 6, 5*c + 34 - 32 = 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -11103401233 + -10?\nAnswer: -11103401243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/(-120))\/((48\/(-15))\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (61 - 56) + 2*(3\/4 - 2). Factor -5\/2*u**2 + 0 + 0*u + l*u**3.\nAnswer: 5*u**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 16 = -4*u, 5*n + 4*u - 752 = -732. Solve -9*q + 12*q - n*s = 22, 0 = 5*q + 2*s - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5134 - 5130. Solve -k + c = w, k - 13 = -46*w + 42*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.093 + -0.026. Let x = -0.011 - r. What is x rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1011111100110100000 (base 2) to base 7\nAnswer: -3220434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 6. Let a = -159\/4 - -40. Let z = 13\/254 + 417\/1778. What is the second biggest value in a, g, 0.2, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0817 - 0.08. Round v to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -257*l**3 + l + 258*l**3 + 3*l - 5 to b*l**3 + y*l**2 + z*l + a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 316628 is divided by 3911.\nAnswer: 3748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/4 + 19177\/(-1812). Which is greater: d or -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 17*y**5 - 6*y**4 - 6*y**3 - 11*y. Let r(u) = u**4 + u**3 + u. Let h(p) = -k(p) - 6*r(p). What is the second derivative of h(s) wrt s?\nAnswer: -340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -36113175*y**2 + 108*y - 284487.\nAnswer: -72226350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10.2 in 1, -647, -4, 2, 9\/4, -1\/3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.03+19439522900081\nAnswer: 19439522900081.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -2\/7, 0.4, 0, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p - 11*p**2 + 16*p**2 - 6*p**2 to the form a*p + x + f*p**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15? (a) 4 (b) -0.1437 (c) 0.2 (d) -0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-18)\/(-2) - (9 + 11 + -12). Suppose 0 = -5*p - 30 - 0. Let s be ((-14)\/p)\/(4\/6). What is the second smallest value in 3, c, s, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/14, 89106, -1\/3 in decreasing order.\nAnswer: 89106, 3\/14, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.04 in 0.118, 66, -4?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -262*d**3 - 17*d**2 + 137*d. Let b(s) = -87*s**3 - 6*s**2 + 45*s. Let i(h) = 17*b(h) - 6*u(h). What is the second derivative of i(j) wrt j?\nAnswer: 558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -33111230032 - 12?\nAnswer: -33111230110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1778.1219 months?\nAnswer: 148.176825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0832 - 0.05.\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -17 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207 is divided by 55.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40497?\nAnswer: 3, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6708309526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7)\/2*(-540)\/315. Solve -i = -2*f - v, i + 0 = -3*f - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, g: 5, b: 7, u: 2}. What is prob of picking 2 g and 1 u?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -165*s**2 + 136830*s + 8621096 wrt s.\nAnswer: -330*s + 136830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4, n: 1, t: 1, o: 4, c: 1}. What is prob of picking 1 t, 1 n, and 1 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1325 - 1283. Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the second derivative of 2*g**6\/15 + g**3\/2 + 10*g. Find the second derivative of o(w) wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**3 + 9*v**2 + 5*v + 6. Let i be m(-7). Suppose -3*j - 3*r + 3 = 0, r + 0*r = -4*j + 13. Suppose j*k - 19 = i. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0010936 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/(-4)*(9\/12)\/(12\/(-24))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.005 - 247576440.26744.\nAnswer: -247576440.26244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*q\/q**4))**(-1\/3)*q**(3\/5)\/(q\/((q\/(q*q*q**(-2\/103)))\/q)*q) assuming q is positive.\nAnswer: q**(-2256\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s + 6. Let l(u) = u - 3. Let o(v) = -2*g(v) - 6*l(v). Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 2\/7, -1, -3, 7\/4, -3\/7, -134\/77, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*b**3 - 283*b + 70*b**3 + 143*b - 9 + 138*b to j*b**2 + n*b + y*b**3 + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3 + (1 + -1 - (2 + -31)). Let q = s - 9. Let x = -1 + q. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*t - 48 - 146 - 40 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47772 is divided by 186.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -731*g = -722*g - 27. Solve 12 = g*x, 3*x = n + x + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of -p**6\/360 - 7*p**5\/120 + p**4\/12 - p**3\/2 - 2*p**2. Let l(c) be the first derivative of h(c). Does 3 divide l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/6)\/((-22)\/102 - 184\/1564).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 0, 6 in decreasing order.\nAnswer: 7, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o - 207. Let x(q) = -11*q. Determine x(b(z)).\nAnswer: 11*z + 2277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2214 and 4096548.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -76, -86, -96, -106?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**3 + 5*l**3 + 1 - 1 + 16*l**2.\nAnswer: l**3 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/10 - (-12)\/20 - 0. Suppose 5*f + 3*t - 90 = 0, f - 3*t + 4 - 40 = b. Solve -3*w - f + 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 4*y + 742 = 5*t, 4*y = -5*t + 733. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*c + 15*c - 30 = 0. Let i be (-774)\/c - (-4)\/20. Suppose 5*q - 4*v = 331 + i, -v = q - 99. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {p: 1, a: 1, m: 1, r: 1, s: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is u in 88*u**3\/3 - 175*u**2\/3 + 86*u\/3 + 1\/3 = 0?\nAnswer: -1\/88, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*p**3*q*s + 182661*p**3*s*v**3 + p**2*q*s*v + 2*p*q*v - p*q + 3*p + 1751*v**3 wrt p.\nAnswer: 12*q*s + 1095966*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*-1*3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*w**4 + 39*w - 350*w**2 + 699*w**2 - 351*w**2 to k*w**2 + n + d*w + x*w**3 + j*w**4 and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*q + j, j - 3*j = -q + 8. Solve 5*a = 2*x + 1, 1 = -4*a + a + q*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o + 5*k - 8 - 1, k + 3 = 2*o. Solve 0 = -o*q - 3*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r - 1 + 1)*(-960*r + 543*r + 3025 + 413*r).\nAnswer: 8*r**2 - 6050*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 5*t + 34. Let q(y) = -9*y - 67. Let r(p) = -106*p - 9219. Let u be r(-87). Give u*q(h) + 5*k(h).\nAnswer: -2*h - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 406605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -23 + -3 + 29 + -10 + 0 + 31\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1211131 - 2223131?\nAnswer: -10100322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -10301.2253 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 54 + -16. Let l = 26 - g. Let d = 11.9999912 + l. What is d rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 313 at most as big as 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - (-5 - 2)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -44, -5, 2, -26, -35 in descending order.\nAnswer: 2, -5, -26, -35, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l = -26 + 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 15 (base 15) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 3*l + 1. Let v(m) = -m**3 + 4*m**2 + m + 1. Calculate the remainder when v(3) is divided by o(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-5\/6)\/p)\/p**(-5)*((p**0*p)\/p)**(-21\/5))**(-32) assuming p is positive.\nAnswer: p**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 + -45?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 170 - 161. Let z be (2565\/y + 7)*2000. What is z rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 20\/365*1\/(-14). Let y = i - -37309\/1533. Let l = y - 24. What is the biggest value in -3, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 11:48 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -17, 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -360\/77 - -34\/7. Let t(s) = -2*s + 10. Let w(i) = -2*i + 9. Let o(k) = -3*t(k) + 2*w(k). Let n be o(8). What is the biggest value in g, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3.96 + 0.04. Let h = 0.03 + -1.03. Let l = h + 2. What is the closest to l in 0.2, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:24 AM and 2:06 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 22330, -26, 15.\nAnswer: -26, 15, 22330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6414.\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 62, 168, 344, 590, 906?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 137 - 132.69. Let u = p + -4.2. Let l = 0.51 - u. Sort 2, 0, -2\/11, l in increasing order.\nAnswer: -2\/11, 0, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-20 + -19)*(0 + -1). Suppose -7*b = -4*b - g - r, 0 = 5*g. Suppose -153 = -b*u - 36. Solve -4*t - 5*k + u = 0, -5*t - 3*k - 4 = -12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) -2\/13 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 50416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000203222 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + 39*s - 42*s + 54 = 0, 2*k = 5*s + 54. Solve o + w = -k, 5*o = 10*w - 14*w - 53 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-283*y**3 + y**2 + 283*y**3 - 11*y**4)*(0 - 1 + 3).\nAnswer: -22*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:37 AM and 5:58 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of j**2\/2 - 10*j + 62. Let s(i) = -i - 7. Let y be s(-7). Suppose 5*d - 3*h - 1 + 10 = y, -4*d + h - 3 = 0. Determine c(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/((-208)\/129) + -2 + 6. Let g = v - 3\/4. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*v - 6*v - v)*(-28*v**3 - 55*v**3 - 98*v**3).\nAnswer: 362*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/(-10))\/((-1)\/(-220)). Suppose 13 = 5*u - 7. Suppose u*j + 5*s - 108 = s, 0 = 2*j - 4*s - 24. What is the greatest common divisor of b and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 48 and 3240?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**11)**(-10\/13) assuming a is positive.\nAnswer: a**(-120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20163 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - -1254879?\nAnswer: 1254876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.08, 0, 0.03 in increasing order.\nAnswer: -0.08, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 10*y + 11*y = 1, -5*s - 35 = 5*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 98 = -2*f, -2*r = -4*f + r + 197. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1359000 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 7*j**2 - 390*j - 412. Let d(p) = 22*p**2 - 1168*p - 1240. Let z(r) = -3*d(r) + 10*s(r). Factor z(b).\nAnswer: 4*(b - 100)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 4*t + 16. Let v be r(-4). Let l be (10 - 224\/21)\/(2\/33). Sort l, v, -5 in ascending order.\nAnswer: l, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = 5*s + 3*g - 55, 4*s - 57 = -5*g. Let y(a) = -a + 12. Let w be y(9). Let j = s - w. What is the smallest common multiple of 50 and j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -16986.96478 to the nearest one hundred.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -342451.769 - -5.\nAnswer: -342446.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 2060.\nAnswer: -1\/1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2 - 10. Suppose -54 = -4*h - k, -c*h - 3*k + 46 = -5*k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44062 is divided by 44031.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1 + 3. Let c = 6 - h. Sort 2, -0.5, c in ascending order.\nAnswer: -0.5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 624\/53459 + 3211431275\/962262. Let d = 3339 - m. Calculate the common denominator of 2*123\/72 + -2 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*k**2 - 2*k**2 + k**2)*(5 - 5 - 6*k) - 8*k**3 + 9*k**3 - 1 + 2 as v*k**2 + n*k + j + h*k**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - 6*b**2 + b + 8. Let k be g(-6). Let w(x) = 19*x + 1. Calculate the remainder when w(k) is divided by (78\/(-156))\/(2\/(-14*4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9845*i**4*v**2 - 319*i**4 - 6682669*v**2 wrt i.\nAnswer: -39380*i**3*v**2 - 1276*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u**4\/3 - 7*u**3 - 47*u**2 + 3349*u\/3 + 1156 = 0. What is u?\nAnswer: -12, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108 = 13*p - 10*p. Let o be 1*(-2)\/2 + 91. What is the highest common divisor of o and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 - 5. Is (-5057)\/(-3) + a\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26249208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and -212?\nAnswer: 211.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.3 (c) 2\/3 (d) -43\/6 (e) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor f**2\/8 + 53147*f + 5649207218.\nAnswer: (f + 212588)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 3068150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + 18 - (-2 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 257*w + 1480 - 2799 - 2279 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*w = -51*w + 98*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 9*i**2. Let v(a) = -a - 6. Let b(t) = -6*t - 26. Let s(w) = 7*w + 28. Let q(f) = 6*b(f) + 5*s(f). Let y(m) = 3*q(m) - 8*v(m). What is y(c(j))?\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -34, -43, 0, 155, 482, 1041?\n\"Answer: 10*v**3 - 34*v**2 + 23*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -50*p + 38*p + 2304. Calculate the highest common divisor of p and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -14872, -14871, -14870, -14869, -14868, -14867?\n\"Answer: i - 14873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5438.\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (5 - 0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 13890 = 3*t, 0 = -0*p - 2*p + t + 6940. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0\/4)\/(24\/6 + -3). Put x, -7, -1 in increasing order.\nAnswer: -7, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53396 is divided by 26697.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 310\/237 - -2\/79. Which is the nearest to 1? (a) -3 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3748, -8033, -13334, -20155, -29000, -40373, -54778?\nAnswer: -72719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 196.827 + 0.14\nAnswer: 196.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((3\/2)\/(13\/390*9))\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8493639 to the nearest integer?\nAnswer: 2914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 15611, 75 in ascending order.\nAnswer: 1, 75, 15611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 + r. Let t be s(0). Suppose -v - 5*z = -315 - 626, 4*v + z - 3783 = t. What are the prime factors of v?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -7*n**2. Let x(i) = 11*i + 220. Give x(z(d)).\nAnswer: -77*d**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2597, -5178, -7745, -10292, -12813, -15302, -17753, -20160?\nAnswer: -22517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 493988\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6470*h + 149496 + 458684 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -166 = 38*l - 52 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:09 AM and 3:21 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -aa9 - 865?\nAnswer: -1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/(-16))\/(1\/4) + 2. Let k(n) = z + 6 + 7092*n - 7088*n. Determine k(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5348\/(-21) + (-2)\/(-3). Let v be 4\/14 + y\/252. Let w = 2\/9 + v. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i - 4 = 2*r - 3*r, 4*i + 8 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of -l**5\/20 + 3*l**4\/4 - 5*l**3\/3 + 9*l**2\/2 + l - 45. Calculate w(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (5 - 81003\/52)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1\/((-3)\/(-1)))\/((-11)\/(-1221)). Let m = 39 - s. What is the first derivative of 7*r**2 + 1 + 2 + 10*r**2 - r**m wrt r?\nAnswer: 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 0.13531.\nAnswer: -0.40593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 716330 - 3*z + 542125 - 115606.\nAnswer: -3*z + 1142849","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwwwwwwwwwwwwwwwi. Give prob of picking 3 w and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 27 and 63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*j - 28 = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 83200.52 minutes to microseconds.\nAnswer: 4992031200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -11 (b) -4.1 (c) 0 (d) -4\/3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5654 + -33787\/6. Calculate the common denominator of g and -73\/2091.\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3744 and 4368?\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 12 divided by -83?\nAnswer: -12\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -3*m**2 - m + 1. Let u(a) = 4*a**2 - 12*a + 7. Let l(z) = -2*h(z) - u(z). What is l(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(12\/(-2)) + 119\/51. Solve -5*v - r = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -22682*k + 22682*k - 1450*k**2 to the form z*k**2 + y*k + v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 6*b + 19. Let h be n(-7). Let z = h + 26. Suppose i = -4*i + w - 3246, -z*w = -5*i - 3238. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 365907441.\nAnswer: 3, 109, 367, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.09 + -5.09. Let m = -0.0435 + -1.9565. What is the closest to -1 in m, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*h + 945 - 900 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4403 + -230. Let v be l\/(-585) - (-4)\/30. Let h(y) = -3*y + 2. Let w be h(3). Is v > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.6 + -4.6. Which is smaller: f or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-38)\/304 + 9\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2265 + 949*x + 2265.\nAnswer: 949*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 2 a when four letters picked without replacement from {t: 5, e: 7, a: 4}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 159181 and 11165?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.36 minus -350.46?\nAnswer: 350.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.2 + -0.1. Suppose o = -0*u + 3*u - 10, 4*o + 3*u = -10. Which is the nearest to 0? (a) n (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1\/(-2))\/(3\/(-24)). Suppose -3*t - 31 = -79. Suppose 4 = -r*k + t. Solve -2*u = 4*s - 5*u - k, -5*u = 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 4200353 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21312 + -4?\nAnswer: -21321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2 + 4*g + 7. Let o be f(3). Let b(w) = 2*w**3 - 5*w**2 + 5*w + 2. Let j be b(4). What is the highest common factor of o and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*3*(-8)\/60 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3644796.\nAnswer: 2, 3, 37, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -2*j**5 + 3772*j**4 - 1679554*j**3 - 8515072*j**2 + 10190856*j = 0.\nAnswer: -6, 0, 1, 734, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 9 - (-6 - 3\/((-18)\/42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 - -6)*(-3)\/(-2). Let c be -7*(-3)\/t + -2. What is the closest to 2 in c, 0.1, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -193, -384, -583, -790, -1005, -1228, -1459?\n\"Answer: -4*u**2 - 179*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -13*s**3 + 4*s**2 + 11*s - 32. Let p be l(8). What is the remainder when (1 - 5\/2)*p\/183 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate 95268 divided by 68.\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 139 = 15*v + 49 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, 12, 19, 28, 39?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 23\/4 + 19\/76. Let z(h) = h**2 - 7*h + 8. Let y be z(s). Which is smaller: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 87 = 3*b, -15*s - 5368*b = -5364*b - 101 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**3 - 3*d**2 - 18*d + 62. Suppose 11*i + 4*i - 90 = 0. What is the tens digit of y(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p + 120 = 3*u + p, -4*p + 102 = 2*u. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 97960 and 3476.\nAnswer: 1077560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 1.61, 6, -8\/9, 1, 2\/5.\nAnswer: -8\/9, -0.5, 2\/5, 1, 1.61, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -7 + 20707?\nAnswer: 20700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 - -14. Suppose -4*l = -l - 4*t - 385, -f*t = 5*l - 633. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 7 - 5)*(q + 0*q - 2*q)*(0 + 0 + 64*q)*(-1 + 6 - 1) to l*q + f*q**2 + n and give f.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - 8172?\nAnswer: -8168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*a + 3*a**2 + 5*a)*(-1 - 1 + 3)*(-a + 2*a + 0*a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-51)*((-282)\/(-8))\/(-47).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 8, e: 1, q: 10}. What is prob of sequence qqs?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.552125 and -34.6.\nAnswer: 19.103525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the first derivative of -2*w**6 - 76*w**5\/5 - 15*w**4 + 36*w**3 + 20*w**2 - 641. Solve t(k) = 0 for k.\nAnswer: -5, -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -7*j + 9. Let l(c) = 6*c + c - 3*c - 2. What is the tens digit of l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4874*s + 4953*s + 158 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*a**2 + 1763 + 1697 - 104*a**3 - 3358 wrt a?\nAnswer: -312*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 - 452*v - 6097. Determine f(-13).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -4923658.3 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2, -0.07, -15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -322933.8 rounded to the nearest 1000?\nAnswer: -323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwkwnwwkn. What is prob of picking 2 k and 2 w?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eiir when four letters picked without replacement from {e: 2, r: 4, i: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 15332, 30693, 46056, 61421, 76788?\n\"Answer: n**2 + 15358*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -24*c + 54. Let v(x) = 4*x**2. Give v(m(o)).\nAnswer: 2304*o**2 - 10368*o + 11664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 630 divided by -315?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2a8 + -25?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 + 8*y - 13. Let g = 19 - 32. Is 20 a factor of a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1192.83701 and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 851980922 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-253*i - 256*i + 691*i)*(0*i + 5*i - i)*(3*i**2 + i**2 - 3*i**2) as r*i**4 + a*i**3 + d*i**2 + g*i + p and give r.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-1\/12)\/(u*(u*u**1)\/u) assuming u is positive.\nAnswer: u**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -125*u + 881. Let w be p(7). Let j = 30 - 28. Solve -w + 0 = -j*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 92874167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -3*r + 6. Let u be w(2). Let a(f) = f**2 + 8*f + 10. Let i be a(-7). Put i, u, -5 in ascending order.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 12c (base 16) to base 10\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*h*p**4 - h*p**3*r - h*p**2*r - 21*h*r + 5*h + 54*p**3*r + 13*p**2 wrt p.\nAnswer: 96*h*p - 6*h*r + 324*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6999 - -6999. Solve i = 62*p - 200 - 110 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 6*v**2. Let q(h) = -8*h**2 - 6*h + 2. Determine q(d(m)).\nAnswer: -288*m**4 - 36*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**5 + 26*k**4 - 264*k**3 - 3232*k**2 - 9088*k - 6144 = 0 for k.\nAnswer: -16, -4, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*c**4\/4 - 90345*c**3\/4 - 543604785*c**2\/4 - 1085921624875*c\/4 + 9861622307505\/2.\nAnswer: -5*(c - 18)*(c + 6029)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:04 PM and 11:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -68 = -3*y + 19, -308*y + 310*y - 48 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*k + 9 - 25 = 2*i + 110*k, 6*k = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*n - 6*n**2 + 0*n + 4*n to the form f*n**2 + l*n + y and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.644112ml to litres.\nAnswer: 0.000644112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5187426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 67924 - 36481. Is 47 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 15*h = 12*h + 1, -10 = -4*v + 2*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 17.1 and -2.59.\nAnswer: -44.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2 - 2*r + 1. Let s(k) = 144*k**2 - 16*k + 8. What is -8*q(l) + s(l)?\nAnswer: 136*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -144681950 rounded to the nearest one million?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 20 = 6*z. Let v = 3 + z. Let o be v\/(-3)*9\/2. Solve -3*c + 7 = -5*r, c + 0 = -r - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 31 + 6 = 0. Suppose -v + 125 = -w, 0 = r*v - 0*v + 4*w - 643. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 4 = 3*t, 0 = 4*t - t - 2*h - 4. Suppose -2*j + 252 + 126 = t. What is the highest common divisor of j and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 691303817 - -119.\nAnswer: 691303936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - 6\/3 - 55\/(1045\/(-38)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 51 + 21. Suppose -55 - 215 = -30*p. What is the highest common factor of f and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -197*c - 8. Let s(p) = 394*p + 14. Determine 4*s(k) + 7*u(k).\nAnswer: 197*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 32 - (5 + (-5 - 4) + 24) - -92\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6522 + -5859. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*g = 79*g - 28. Find the second derivative of -g - 32*a + 14 + 0 - a**5 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(1\/6)\/g)*(g**8\/g)\/g)**(2\/21) assuming g is positive.\nAnswer: g**(47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105885 - 31908 = 3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5238 and 28809?\nAnswer: 57618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2858, 3818, 4784, 5750, 6710, 7658, 8588, 9494?\nAnswer: 10370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 624067 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.098821 rounded to three decimal places?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-13)\/(4\/(-16)*2). Let p = 42 - g. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -117 + 122. Suppose a*f = -1 + 21. Solve 4*d - f = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 7*w**2 - 7*w - 14. Let b be a(4). Let i = 58 - b. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 14\/11 (c) 1 (d) 2 (e) 0.389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 48 = 24. Let q be (-1)\/t + 1 + 35\/(-30). Suppose 0 = -q*x + 5*x - 1115. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -3*d. Let i be 1\/3 - 2\/6. Suppose 2*b + 0*b - 8 = i. Solve d = 5*u - b*k - 22, 3*u - 3*k - 3 - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 412.275t in kilograms?\nAnswer: 412275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 1633 - 730. Put 2, 1, c, -5 in ascending order.\nAnswer: -5, 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -580 + 590. Calculate the smallest common multiple of u and 2985.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 122770 - 18*l - 122770. Let v = 9 + -10. Calculate a(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-210)\/(-93) + 1 + -2 and -9*(14\/(-12) - 14\/105)?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3428 (base 13) to base 3\nAnswer: -101000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 3 + (-33 + 52 - (-1 - -11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10508 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 376 by -8.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 5, i: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes after 3:22 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3.3 + -3. Suppose q + 4 = 2*q + 4*d, -5*q + 4*d = 28. Which is the closest to 0.1? (a) q (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 15 = -0*u + x, 0 = 3*u - x - 9. Let m(a) = 3*a - 10. Let g be m(5). Put u, g, 0 in increasing order.\nAnswer: 0, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 1 + 10 = 0. Let y(c) = 2*c + 30. Let n be y(s). Solve 6 = -5*h - 4*v, 0 = -2*h + 5*v + 12 + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s - 1. Let g(m) = -6*m - 4. Give -g(k) + t(k).\nAnswer: 5*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -236*u + 85879996 = 4*g - 232*u, 64410004 = 3*g - 4*u. What is g rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/72 and -115\/12816.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g + 3*g - 2*g**2)*(2*g - 2*g**2 - 2*g)*(0*g + g - 3*g) + 12 - 5*g**5 - 12.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -128\/5 (c) 9 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one halves of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2062900 divided by 5894?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (8\/4)\/((-10)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 431322 + 20?\nAnswer: 431342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.405 + -1.6?\nAnswer: -2.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.140857 in -2\/13, 3\/2, -1.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 892284*g - 31229938. What is b(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, c: 1, y: 1, n: 3}. Give prob of picking 1 j and 2 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.3*488.\nAnswer: -1122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/4*9\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 552127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 101*f - 273. What is p(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.79421 decades to centuries.\nAnswer: 0.079421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yxxx when four letters picked without replacement from {x: 5, y: 15}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (13 + 2)\/5 - 2. Solve 0 = 4*y + 5*o - 6, y + o = -0 + a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 690 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - (-6*8\/16 + 2))\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*l**2 - 3*l**2 + 5*l**2 - 8*l + 8*l - 11*l**2 - l**2 - l**2 + 3*l**2 + (-l + l - l)*(-l + 1 - 1).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -427401*f**4 + 369725*f wrt f.\nAnswer: -5128812*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 3*t**2 + t - 1. Determine v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*c**2 - 4*c**2 - 32*c**2 + 189*c**2 to the form j*c**2 + i + x*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/15, -7, 210?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**4\/11 - 677920*f**3\/11 - 677922*f**2\/11.\nAnswer: 2*f**2*(f - 338961)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + 1100100100001111111?\nAnswer: 1100100100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1427077?\nAnswer: 73, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*g*z + 930*g + 75*z wrt z?\nAnswer: 3*g + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**2 + h - 1. Let j be s(1). Suppose -a - 3 = 4*g - 9, -5*a = 5*g. Put 1, j, g in descending order.\nAnswer: g, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 445.2807 weeks to milliseconds.\nAnswer: 269305767360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 5*c - 76885, -10*c + 7*c + 46096 = 2*o. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 263 and 9?\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**3 + 4 - 4)*(-3 - 1 + 3) - 3*u**3 - 5*u + 5*u + 2*u**3 + u**2 - u**2 + (1 + 2 - 4)*(-5 + 5 - 2*u**3).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of 169*v**4\/12 + 952*v - 1. Let u(t) = t**2. Calculate u(l(o)).\nAnswer: 28561*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 0.1, 30.7, 0.3, 1 in decreasing order.\nAnswer: 30.7, 6, 1, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -34 - -63. Let w = 29 - x. Let r(g) = g**2 + g - 5. Calculate r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 130 divide 635863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001263122 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of 2\/3*q**4 + 3\/5*q**5 + 0 + 0*q**3 + 0*q**2 - 5*q + 2\/15*q**6. Factor a(t).\nAnswer: 4*t**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -840*o = -207*o - 10128 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -4*x**3 + 5*x**2 + 9*x + 8. What are the prime factors of y(-7)?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 63920042?\nAnswer: 2, 31960021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8985\/28 + -321. Let c = -24 + 25. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of (-3)\/(-18) - 4818\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 87967470 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1.689 less than 0.0154?\nAnswer: 1.7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 860969831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -38911 * -0.2\nAnswer: 7782.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-420)\/80*((-6)\/(-3))\/6?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**2 + 21*o + 8. Let g be ((-156)\/208 + (-6)\/(-8))\/2. Calculate c(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vpgp when four letters picked without replacement from ggvjgygvvvgvypyvpg.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the second derivative of -47*k**3\/2 - 3*k - 28. Let d(i) = -2675*i. Let h(t) = -4*d(t) + 75*g(t). Let m(c) = -2*c**2. Determine m(h(f)).\nAnswer: -31250*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 52 + 65 + -54 - 108\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -11929*t + 11928*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.362 + 0.32. Let l = -0.248 + a. Let v = 0.29 + l. Which is greater: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(405)*-2)**2 - 1*(sqrt(405) + 1 + sqrt(405))**2)*4.\nAnswer: -144*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1882296 divided by -16088\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 1248*n + 964. What is v(-1)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of 29*k**2\/2 + 130*k + 145. Let p be o(-4). Solve -c - 3*t = 11, 0*t = c - 2*t - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 98*b**3 + b**2 - 17*b + 7. Let c be m(3). Let d = c - 1080. What are the prime factors of d?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 3)*(-d + d - d**2) + (-2*d + 0*d + 3*d)*(1 - 1 - 2*d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -917853 > -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*b**2 + 0*b**2 + 18*b**2 - 6*b**2 - 7*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1392 and 20.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h, -2*q + h = -h + 10. What is the units digit of 14 + q - (-4)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -3*h - 2. Let b be n(-2). Suppose 4*z + c - 8 = 0, -z = 3*z + b*c + 4. Determine q so that 0*q - q**z + 2*q - 2 - 2*q**2 + 4 - q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 247 - -84. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 904 + -3569\/4. Let u(g) = -5*g**2 - g + 2. Let t be u(2). Calculate the common denominator of o and t\/(-3)*(-3)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 14\/6409 and (-56)\/(-170)*(1980\/(-72))\/(-1*20).\nAnswer: 64090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -673*b**2 + 1374*b**2 + 176*b**3 - 701*b**2.\nAnswer: 176*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13837?\nAnswer: 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 14105*f**2 + 84327*f**2 + 57994*f**2 - 4 - 3 + 7 + (2*f - 3 + 3)*(4 - 4 - 2*f) as l + a*f**2 + d*f and give a.\nAnswer: 156422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -27*f**2 - f + 5. Let q(z) = -3*z**2 - 2. What is l(g) + 4*q(g)?\nAnswer: -39*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 30789*v - 1426. Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 + 111010010110111100?\nAnswer: 111010010111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5330 and 50?\nAnswer: 26650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -45 + -17. Let l = s - -436\/7. What is the third biggest value in l, -0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21*j**3 - 28*j**3 + j + 50*j**3 + 3 + 3*j**2 to the form h*j + q*j**3 + s*j**2 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*q**5 + 2*q**5 + 4*q**5 + (2*q**4 - 5*q**4 + 4*q**4)*(6*q - 2*q - 3*q) + q**5 - 4*q**5 + 4*q**5.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 - 11 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -4, -7 in increasing order.\nAnswer: -7, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the second derivative of -g**3\/6 - 241*g**2\/2 + 788*g. Let r(n) = -n. What is b(r(u))?\nAnswer: u - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of -3*q**3 - 10*q + 2502. Let v(g) = -g**2. What is z(v(r))?\nAnswer: -9*r**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 2*f + 4)*(-927 + 197*f + 927).\nAnswer: -394*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6346.\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2340 + 1?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -99905 - -146467. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-8)\/18)\/(2\/(-3)))\/(2065\/(-24780)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 166 - 958*y**2 - 427 + 198.\nAnswer: -958*y**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from fxikx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1227*c = -1234*c + 14. Solve -3*n + 10*d - 15*d - 2 = 0, -c*n + 2*d = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3\/5 - 41*w**2\/5 + 489*w\/5 - 1071\/5.\nAnswer: -(w - 7)*(w - 3)*(w + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**3 + 6. Let y(h) = -h**3 - 38*h**2 - 104*h + 35. Let f be y(-35). Let a be l(f). Solve -3*k + 1 = -2*q + a, 2*k + 18 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 9*u - 1. Let l be k(3). Suppose -5*i - l = -11. Let n be (i\/(-4))\/(0 - -1). Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (h - h - 2*h)*(116*h + 37 - 57 - 310*h + 16)*(-3 + 3 - 2*h**2).\nAnswer: -776*h**4 - 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the second derivative of i**5\/2 + 7*i**4\/12 + i**3\/2 - 13*i**2\/2 + 15*i. Let a(v) = 3*v**3 + 2*v**2 + v - 4. Calculate -7*a(d) + 2*c(d).\nAnswer: -d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, v: 1, q: 4, n: 8, w: 6}. Give prob of picking 1 k and 3 n.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2120000211 + 2120?\nAnswer: 2120010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 324892297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -45 and 6\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from {r: 3, a: 12}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n - 1. Suppose 0*k = -3*k + 6. Calculate m(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-30)\/(-102)*17)\/((-9105)\/(-1530) - 6)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 576\/45 - (-1)\/5. Let x be (-446)\/(-34) + -3 + (-441)\/(-153). Let k = f - x. Solve 3*o - 15 = 0, 5*i - 3*o = -k*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**1\/y)**26\/((y*y\/y**(-5))\/(y**(1\/3)*y))*(y\/((y\/(y*y\/(y**(3\/7)*y)))\/y))\/((y\/y**(-2\/15))\/y)*y*y\/(y\/y**(-4))*y*(y\/(y\/y**6))\/y assuming y is positive.\nAnswer: y**(-43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001668 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 11 = 3*l, -4*t + 23 = 3*l - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4089151 - 1814021 = -108*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {x: 1, a: 4, k: 3, v: 2, z: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cvvvcvcwccvcvwwvvc. Give prob of picking 1 c and 1 w.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1901310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of a**5\/12 - a**4\/6 + 2*a**2. Let o be 2 + -1 - 12\/3. Let s = o - -7. Let t(p) = -6*p**2 + 5*p. Calculate s*t(c) + 5*m(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -1206*s**2 + 81*s + 81. Let u(x) = 30*x**2 - 2*x - 2. Let j(m) = 2*t(m) + 81*u(m). Let d(q) = 8*q**2. Calculate j(d(n)).\nAnswer: 1152*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2066 is divided by 652?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10101935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 106*q**2 - 42*q**2 - q**3 - 51*q**2 + 14*q - 31. What is the hundreds digit of s(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 12*q - 9. Calculate the remainder when 153 is divided by f(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 469813691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -55 (base 7) in base 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - a - 18 = 1, 0 = -4*w + 4*a + 48. Let k be 6 - -8*(-4)\/(-8). Let c = -4 + k. Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 37 divided by -597\nAnswer: -37\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50576 and 25984?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4*j - 1 - 6*j)*(1 - 5 + 3).\nAnswer: 10*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*b + 459 = 595. Let w(a) be the second derivative of 0*a**b + 0*a**2 - 1\/24*a**3 + 1\/60*a**6 - 5*a + 0 + 3\/80*a**5. Factor w(d).\nAnswer: d*(d + 1)**2*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r + 18. Let g(c) = -1. Determine 5*g(h) + j(h).\nAnswer: 2*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 140191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1749*o**3 + 0 + 0 + 1741*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.4 - 4.6. Let x = 7.72682 + -1.72681. Let c = x + g. Round c to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1065603443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 2*k - 9. Let j(o) = -2*o**3 - 9*o**2 - 4*o - 2. Let b be j(-4). What is q(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3\/4 + 297*j**2 - 3528*j.\nAnswer: -j*(j - 1176)*(j - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 3*x = 1 - 6, -5*x + 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1*(34\/(-8))\/((-153)\/(-612))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 2*i**3 - i**2 - i + 1. What is l(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 2:11 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((1242\/161)\/((-6)\/460))\/((-2)\/203)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of -4*i**2 + 3*i + 0 + 3\/2*i**3. Differentiate z(v) wrt v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 take away -24469?\nAnswer: 24469.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/582 and -5\/4074.\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11368635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 118*g - 13446. Let c be o(114). Solve -h + 17 = 3*z, c*h + 8*h + 5*z = -21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (4 + (7 - 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 4*k - 5*f, -4*f = -988 + 972 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-15)*(-450)\/(-28) - (-24)\/(-84).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**2 - 13*o - 5. Let z be x(-12). Suppose -n - 3 = 2*s - 0*s, -2*s + z = 3*n. Let l(q) = q**3 + 6*q**2 + 2*q - 2. Calculate l(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 11 + (-253 - -266)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven halves of a century in years?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 + q**2 + q + 34000. Let o be n(0). Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of m**2*z**3 - 133*m**2*z**2 - 2*m**2*z - 111*m**2 + 49*m*z**2 + 3547*z**3 - z wrt m?\nAnswer: 2*z**3 - 266*z**2 - 4*z - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1 + sqrt(832) - sqrt(832))*-6 - (sqrt(832) + sqrt(832) + -1 + -5)) + -2*-6*2*sqrt(1872))**2*-2.\nAnswer: -1923584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 2\/5511, -11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 + 15*s**2 + 21*s - 24. Let i be b(16). Suppose 4*d + 52 = 4*o, -5*o + 71 = -2*d + 3*d. What is the greatest common divisor of i and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of -1\/270*r**5 + 0*r + 0 + 0*r**3 + 98*r**2 + 5\/108*r**4. Determine g, given that z(g) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-9)\/3 - (0 - 3). Suppose -2*i - 4*q = -6, -2*q - 14 = -4*i - 2. Suppose b = i*r - 5*r. Solve -5*l + 2*l - 12 = r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 336705713 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -272, -3, -16, -7, -5 in descending order.\nAnswer: -2, -3, -5, -7, -16, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 115 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*x = 199*x + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 + 4*c + 2. Let r = -5 + -1. Let n = -11 - r. What is the lowest common multiple of t(n) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**6)**(-39) assuming s is positive.\nAnswer: s**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**0)**(-47)\/(c*c**2*c*c*(c*c*c**0)\/c) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3426 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + 5 + -3 + (-160)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 8828, 17894, 26960, 36026, 45092?\n\"Answer: 9066*m - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/34360 and 79\/20?\nAnswer: 34360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 72 + -68. Solve z - h*w = -8, 4*z + w = -w + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 74.0579111 - -0.0838889. Let j = n - 72.8417941. Let k = 1.3 - j. What is k rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b + b - b)*(3 - 1 + 0) - 2*b - 25 + 25 + (-2 + 2 - b)*(3 - 2 + 0).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 416 a factor of 68712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 13766, 27541, 41316, 55091, 68866?\n\"Answer: 13775*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 28929643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*y - 16*y = 15. Solve w - 3*t - 8 = 0, 17 = y*w - 0*t - 2*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - (5 + (-14 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -5547.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2e - -67?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 34 and 928?\nAnswer: 15776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 1366784.28ns to days.\nAnswer: 0.0000000158192625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -6036*w - 174. Calculate l(0).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -214, -4, -1 in increasing order.\nAnswer: -214, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -72 + 57 = -g, -4*r + 43 = 3*g - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/((-9)\/6) - 4. Let c = 1 - m. Suppose c*u = -4*a + 4*u + 15, 5*u = -15. Solve -a*n = n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 10.6 times -1\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 529\/3 - 177. Which is the closest to -0.1? (a) -3 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 99.2, -48, -7 in descending order.\nAnswer: 99.2, -7, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -11*m - m**2 + 5 + 3 + 0 - 4. Let n be o(-11). Calculate the greatest common factor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 590 and 3265945?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/4, 2\/15, 2\/11, 201, -0.5, -58, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13\/7? (a) -3.7 (b) -3 (c) -432 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2225000 = 40*o - 45*o. What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10302481.\nAnswer: 7, 229, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1855370 - 2?\nAnswer: 1855368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -2*d**3 + 2998994*d**2 + 2998996*d = 0.\nAnswer: -1, 0, 1499498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 20*i**2 + 29*i + 29. Let s(r) = -7*r**2 - 10*r - 10. Let q(p) = -6*h(p) - 17*s(p). What is q(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*a**2 - 8*a**2 + 5*a**2 + 2*a to l*a + y + h*a**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 776 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vqvddqdkd. Give prob of picking 2 v and 1 k.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.258487 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + h + 17 = 2*h, 0 = -3*z + h + 31. Let i = -877 + 879. Calculate the smallest common multiple of i and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 336 and 1268862?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 245\/3, -96, 0.0723 in increasing order.\nAnswer: -96, 0.0723, 245\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 359105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is ((-18)\/(36\/64054))\/(-3 - (-15)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -911.19 to the nearest ten.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/3*18\/(-78).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 4. Suppose -j = -r - 0*r. Let v be (-6)\/r + 2 - -2600000. What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 0.05 (b) -0.1 (c) -10\/21 (d) 0.01 (e) 1.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of -g**5\/20 + 7*g**4\/12 - g**3 + 51*g - 5. Let h(l) = -l**2 + 5*l + 2. Let b be h(4). Determine f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of -g**4\/12 + 2*g**3\/3 - 2*g**2 - 2*g. Suppose u(h) = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/5*255\/204*2*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -638739*48\nAnswer: -30659472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are 822651 and 822649 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (184*y - 109*y + 236*y)*(-739 + 369 + 370 - 30*y).\nAnswer: -9330*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes before 1:28 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2401520985 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/6 in -3, -1, 4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 64112.84 years to months.\nAnswer: 769354.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3496995007.\nAnswer: 11, 61, 109, 137, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-10 - 475\/(-171))\/(8\/6) and -7\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 361\/4 - 89. Which is the closest to 2\/7? (a) h (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -5*s. Let q = s - -4. Suppose -31 = -l - q*t, -7*l + 2*l + 67 = -2*t. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29859626 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j - 6. Let d be m(6). Suppose d = 4*b - 2*k + 4*k - 64, 4*b = 4*k + 64. Suppose -a + 6*a + 3*q = 13, 0 = 4*q + b. Solve 4*f - 13 = -a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 253 - 2537\/10. Suppose -4*n = 5*p + n + 105, n - 4 = 0. What is the common denominator of m and 34\/p*(-5)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -201806, -201850, -201894, -201938, -201982?\n\"Answer: -44*i - 201762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4*z - 3. Let a(d) = d**2 + 6*d - 5. Let x be a(-7). Let q be s(x). Let n be 10\/(-4)*(-8)\/q. Solve -5 = i + 3*w - 1, 0 = 4*i + n*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 2 t when three letters picked without replacement from xtxxxttxtttxtxxxtttx.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6\/11)\/((4\/(-24))\/((-11)\/9)). Solve 5*h = 4*u - 3, -b*u - 2 + 8 = -2*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f**2 - f**2 + f - 4*f + (0*f - 2*f + 0*f)*(2*f + 38 - 38).\nAnswer: -7*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - (-25 - 0\/3)*(-64 - -63)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-27)*t**(-1\/33)\/t*t)**(-4\/9) assuming t is positive.\nAnswer: t**(3568\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/8031125 and 79\/9637350?\nAnswer: 48186750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 + 2*x. Let j be f(-2). Suppose 4*u + j*u = 0. Let d = 147 + -152. Sort u, -2, d in decreasing order.\nAnswer: u, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1985016440 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -409*q - 53*q + 583 = 13519 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 63.6306 grams to milligrams.\nAnswer: 63630.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 1 + 1)*((3 + 2 - 4)*(-p**2 + 0*p**2 + 2*p**2) + 4*p**2 + 5*p**2 + 0*p**2) as d + x*p + a*p**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - -24. Let g = r + -17. What is the nearest to -1\/6 in -0.2, 0, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10425417 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i = 3*s - 4*i - 1299, 4*i = -s + 424. List the prime factors of s.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1*4 - 0) + (846 - -21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 415 divide 202847850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -12*z**2 - 5*z - 11. Let c(v) = -325*v**2 - 6*v - 9. Let w(k) = -871*k**2 - 18*k - 28. Let t(f) = 8*c(f) - 3*w(f). Calculate 6*j(h) + 5*t(h).\nAnswer: -7*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 5*j = -3, -6 = m - 3*j - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 459\/20 + -338\/15. Let b(m) be the first derivative of 13\/8*m**2 + 7\/4*m + x*m**3 - 1\/16*m**4 + 7. Find k, given that b(k) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 6*n**3 - 2*n**2 + 6*n - 493. Calculate q(0).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u + 6. Let n be g(2). Suppose 3*r - 5*r = n*d - 244, 4*d - 118 = -r. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c\/(c*c**(-3)))))**16*(c\/(c\/(c**(-1)*c)))**4 assuming c is positive.\nAnswer: c**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -37 - -77. Suppose -3*n - 5*u - g = -16, -2*u + 3 = -3*n. Suppose 0 = -2*q + 4*s - 9 + 33, -3*q = -s - 11. Put n, q, 0 in increasing order.\nAnswer: n, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1020*m + 14264 = -617*m - 8654 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - -39c?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000136983 to seven decimal places.\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (3 + -8 - -12) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, t: 2, w: 4}. Give prob of sequence zzw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, v: 1, c: 2, b: 2}. What is prob of picking 1 v, 1 c, and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be -8 + 5 + -2 + 10. Suppose 0 = -41*k + 26*k + 825. Suppose -z*t + 1005 = -k. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 2*n. Suppose -t + 5*t = n. What is the third derivative of 8 - 8 + t - v**2 - v**5 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47727?\nAnswer: 3, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 17*o + 5*o - 4 - 10 + 5 + 0*o + o - 2*o + (0 + 0 - o)*(-3 + 7 - 3) - 2*o + 2 - 2 + 4*o - 2*o + 0*o.\nAnswer: 20*o - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -7*a + 17. Let p(c) = 2 - 3 - a*c + 28*c + 0. Determine p(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1\/(-2))\/((-4)\/(-8)). Let k = 2 + j. Find the common denominator of -22\/9 and 9\/5 - (k + 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 140766 and 5046?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -5788, -11578, -17334, -23038, -28672?\n\"Answer: 3*d**3 - d**2 - 5808*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 16? (a) 2.4 (b) 1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from rllxrrjrdrlrrlrrdd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 262752 and 378672.\nAnswer: 12874848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -172 = -16*c + 12*c. Let z = c - 38. Suppose -x + 2*m + 4 = -0*x, z*m + 40 = -5*x. Put x, 1, 63 in decreasing order.\nAnswer: 63, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6.182*-26.\nAnswer: -160.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from jjjjjjjjvjjjjjjjjjjj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 6:11 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be 8\/(-10)*15\/1. Let i be v\/(-66) + (-1962)\/22. Let g = i - -165. Is 38 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {n: 1, l: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 17, v: 1}. Give prob of sequence dd.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -85051410 by 17010282.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-232)\/28 - (-2)\/7. Let f be k + 5 - (-2 - -1). Is 19 a factor of 780\/(-40)*(-2 + f)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -4.9. Suppose 2*y + 8 - 2 = -m, 5*y = -4*m - 12. Which is the closest to k? (a) 0.1 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (3 + -1 + -4 - -2) - (-167 - -124)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1739 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6037 less than -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.4 + -0.5. Let l = 0.76 - 0.26. Which is the nearest to 2? (a) -4 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 177860.51268 and 54?\nAnswer: 177806.51268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5473 + -8?\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -114.32513 - -0.69113. Let n = -26.565 - d. Let r = n - 87. What is r rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = f + 38, -2*f = 3*i - 188 + 173 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -20430 divided by 454?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 10377689*q + 2 + 46*q**2 - 3 + 10377689*q.\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**2 + 39*l. Let u be x(-39). Suppose u = -30*q + 46*q - 3312. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6896446440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -48 - -51. What is the least common multiple of 87 and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/1215 and -56\/1215.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2969\/224 + 351\/32. Calculate the common denominator of b and (-74)\/(-452) - (0 + 0).\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42070583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18, -8, 18, 66, 142, 252, 402?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-6)*(-4624)\/(-8). Let j = i + -61. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -36\/7 (b) 4 (c) -123 (d) -0.1 (e) -6 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of s**6\/195 - 2*s**5\/13 + 50*s**4\/39 + 55*s. What is q in c(q) = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6269 + -6269.1. Let f = -0.8 - -0.3. Let y = 0.4 + -2.4. Which is the closest to 1? (a) f (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1842211 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 7*b**3 + 79*b**2 - 56*b + 51. Give q(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:42 PM and 2:34 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 5, s: 6, b: 4}. What is prob of sequence bvsb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/48 and 107\/114.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6\/(-4))\/((-27)\/(-72)). Let f be b + 5 - (0 - -1). Solve 2*m + 11 - 1 = f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -51 + 65 + -57 + 19\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -395.527901 to one dp.\nAnswer: -395.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1234, -2731, -4250, -5797, -7378?\nAnswer: -8999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 63*b**2 - 503*b - 22. Give x(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v**(-9)\/v)*v)\/(v*v**(-2\/7)))**(-36)\/((v**(1\/4)\/v)\/v**(4\/3))**(-2\/7) assuming v is positive.\nAnswer: v**(-17089\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*z + 6960 + 54 = 0. What is the remainder when z is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j - 2*j**2 - 2*j)*(-2740*j**2 - 607*j**2 - 8512*j**2) + j - j + 2*j**4 + (4 - 4 + 2*j**3)*(3 - 3 + j).\nAnswer: 23722*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r + 30*r - 61232 + 61616 = 0 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 692651 and 11.\nAnswer: 7619161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.17 - -3.17. Sort -0.5, f, -3.\nAnswer: -3, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 7615, 0.1.\nAnswer: 0.1, 6, 7615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4545 + -4523. Let z = -1 + 1. Let v = z - -64. What is the remainder when v is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 313*z - 5011. Let u be p(16). Let x = 8 - 31\/4. What is the nearest to x in u, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 80 + -73. Let k(b) = -13*b**2 + 27*b. Let p(n) = 7*n**2 - 14*n. Let x(z) = 6*k(z) + 11*p(z). List the prime factors of x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 208593564 and 1348?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 318 a factor of 20302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - x + 5*x + 4749*x**3 - 4*x - 4734*x**3.\nAnswer: 15*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 4*x - 6*x + 173, -2*l - x = -117. Calculate the remainder when l is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2106271932 to the power of 1\/3, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 PM and 6:14 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 - -515d42a?\nAnswer: 515d431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -d - y + 11, -2*d - 2*y - 2 = 0. Let v(a) = a + 18. Let i be v(-14). Let h be i\/2 + ((-33)\/3 - -6). Put d, 1, -4, h in ascending order.\nAnswer: -4, h, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8868 by 1700.\nAnswer: 2217\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -35, -99, -195, -323?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -298*w + 767*w + 36300 = -336*w - 295*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 261 and 0.06.\nAnswer: 15.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -131.780237 or 0?\nAnswer: -131.780237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 110906 - 443623\/4. Factor 1\/4*i**2 + 0 + b*i**4 + 3\/2*i - i**3.\nAnswer: i*(i - 3)*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hmmm when four letters picked without replacement from mmmhhmmmmmmmmmmmmmmm?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 13) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 1515210*h. Let l(m) = 3*m**2. What is y(l(k))?\nAnswer: 4545630*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 2*l - 32, 3*l - 8*l - 6*g = -80. Solve -4*x + l = 0, -16*o + 60 = -11*o + 5*x for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-861*c - 2 + 3*c**2 + 2*c**2 + 863*c)*(-c - 3 + 3) to the form t*c**3 + g + d*c**2 + v*c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -20*y + 1031. Give t(52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -55 + (-19 - -5 - (-13 + 35 - 38))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v. Let q(x) be the third derivative of 7*x**5\/20 - 4*x**2. Determine i(q(a)).\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -2*u - 4*p + 11, -5*u + 4*p + 47 = 0. Let v be (-35)\/u + 3*-85 + 1. Sort 5, v, 4 in descending order.\nAnswer: 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 762*b + 12. Let j be d(-2). Let f = 3749 + j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-1))\/((-8)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qommqmmmmommnnqm. What is prob of picking 2 o, 1 m, and 1 q?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7270801 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18359925 and 3225.\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 58*((-69)\/138)\/((2\/(-8))\/((-14)\/(-28)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 2*k - 5*c = 1, -k + 3*c + 21 = 0. Suppose w + 0 + k = 0. What is the smallest common multiple of (6\/3 - w)*1 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 171310 in -5, -60, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/8)*(z*((z*z\/z**4)\/z)\/z*z*z)\/z)\/(((z\/(z**6*z))\/z)\/(z\/(z\/(z*z*z\/z**(-3)*z)*z))))\/(z**(-3\/5)*z**6*(z**0*z)**0) assuming z is positive.\nAnswer: z**(219\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 145\/207138 and 28\/9355733?\nAnswer: 56134398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -4*b - 10. Let p(h) = -h - 3. Let q(r) = -6*n(r) + 20*p(r). Let i(k) = 46*k - 16. Let s(x) = -15*x + 5. Let u(t) = 5*i(t) + 16*s(t). Give u(q(f)).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-3) - ((-208)\/(-4290))\/((-4)\/50).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-188 - 5 - 4)*(3*t**2 - 5*t**2 + 4*t**2 - 2*t**2 + 3*t**2 + 0*t**2 + (-t - 2*t + t)*(-2*t + 1 - 1) + t**2 + 4*t**2 - 3*t**2 - 2 + 2 + 2*t**2).\nAnswer: -2167*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**3 + 7*z**2 - 10*z + 32. Calculate the remainder when 182 is divided by y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3127999?\nAnswer: 7, 283, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -1 - (3 + -4 + 5 + 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -18*o + 240. Let r be i(12). What is the third biggest value in -4\/19, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -63 - -69. Calculate the lowest common multiple of 22 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -9*y + 26. Give d(-9).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 12564222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2529414 + 4298014. Round a to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 33*a**3 - 2*a**2 + 3*a + 3. Let h(f) = -16*f**3 + f**2 - 2*f - 2. Determine -5*h(j) - 3*p(j).\nAnswer: -19*j**3 + j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 7:45 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 18676 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4420 or 75136\/17?\nAnswer: 4420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.32 - -5.32. Let z = -2 - -3. Let g be 4\/(-7)*z\/(-2). What is the closest to 0 in g, s, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 13.310800106 rounded to 1 dp?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24.16 + 21.453. Let h = 2.7 + p. What is h rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 206 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (5*f + 3*f - 2*f)*(1732 - 33*f**2 - 1732) as h + d*f**2 + c*f**3 + m*f and give c.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*r + 90 = -4*r. What is the least common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1705 a factor of 819030692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**1)**(-46)*(h**1*h)\/(h\/(h*h**1*h)*h)*((h**(-1\/10)\/h)\/(h*h\/h**(3\/2)))\/((h\/(h\/(h*h*h\/h**(-5))))\/h**(-4)) assuming h is positive.\nAnswer: h**(-513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.2 in 2\/7, -0.2, 0.2, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 + -5. Which is the second biggest value? (a) 5 (b) m (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-10251)\/(-335))\/(-17))\/(2\/(-30)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -86978 (base 10) to base 16\nAnswer: -153c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -37 - -33. Let y be -3*3\/18*-2. Let k(h) = -h + 4. Let x(w) = 1. Calculate a*x(z) + y*k(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 701.2198kg?\nAnswer: 701219800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**3 + 26*b**2 + 32*b - 3. What is t(-25)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -5*m - 1. Let u be 18\/(m\/(9\/6)). Let b(t) = -t**3 + 10*t**2 - 8*t + 5. What is the units digit of b(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 5*l**3 + 2. Let y be (5 - (-7)\/(-2))\/(2\/(-4)). Let p be (-4)\/14*4 + y\/(-21). Let r(b) = -b**3 - 1. Give p*u(c) - 2*r(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-51 - (1 + -1)) + -1625 + 1643?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 249.0000344 - 249. What is l rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the first derivative of -2*q**2 - 22*q + q + 17*q - 41. What is a(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1\/37, -19, 4, -1\/10, 1\/4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p**2 - 7. Suppose 0 = 3*l - 0*l - 21. Let z(k) = 2 - l + 6. Let g(n) = t(n) + 2*z(n). Differentiate g(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -7*i - 25*i + 29*i - 2. Let y(f) = -f + 1. Suppose 3 = 3*s + 5*g - 0, 5*s - 5 = -2*g. Determine s*h(b) + 2*y(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p**4 + 6*p**3 + 2*p**2 + 2. Let j(a) = -a**3 - 1. Suppose 3*x = -6 - 0. Let d(c) = x*j(c) - m(c). Suppose d(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the third derivative of -7*n**4\/24 - 10*n**2. Let s(m) = 2*m. Determine g(s(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 931 + 299 + 18674*c - 18107*c + c**2 with respect to c.\nAnswer: 2*c + 567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 1. Suppose -4*a - 5 - 51 = g. Let x = a - -60. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-23))\/(50*(-36)\/1080).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -5*s**3\/3 + 3637540*s**2\/3 + 14550265*s\/3 - 6062600 = 0.\nAnswer: -5, 1, 727512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 0.2, 6936, 3 in decreasing order.\nAnswer: 6936, 3, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 1937798 by 145.\nAnswer: 1937798\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2547*h**2\/2 - h.\nAnswer: h*(2547*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6605, -6610, -6615, -6620, -6625, -6630?\nAnswer: -6635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 180504*o - 180503. What is x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + 3*c - 34 = -q + 5*c - 0*c, -2*q + c + 32 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -83*d**3 - 2*d**2 - 2*d - 1. Let w be u(-1). Let o = -88 + w. What is the hundreds digit of 1\/o - 8984\/(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1521*r - 4250 = 1516*r. List the prime factors of r.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of 0 - 2*n - 1\/168*n**8 + 0*n**3 + 2\/105*n**7 + 0*n**4 + 22*n**2 - 1\/15*n**5 + 1\/60*n**6. Suppose d(f) = 0. Calculate f.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 10*g - 40. Let k be l(7). What is the highest common factor of 210 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*d = 187 + 9. Which is the nearest to -1? (a) d (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - 10*m**2 - 10*m + 10. Let j be i(-9). Let z = 21 - j. Solve -5*f + z = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 + 4*f + 3. Let k be q(-2). Calculate the common denominator of k*1 + 55\/6 and ((-4)\/10)\/((-24)\/430).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -872? (a) -2\/39 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2*s - 8. Let l be b(6). Solve 1 = -r - 3*z + 4*z, l*z + 4 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from etitpeibstsiiibseit.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be -21*(-2)\/6*1. Suppose m*x = 4*x. Is (x\/(-1) - 4) + 59 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = 5*c - 2*p + 2, 4*c - 4*p = -4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of 0*j**3 + 1\/60*j**4 - 2*j**2 + 1\/150*j**5 - 1\/525*j**7 + 0*j + 0 - 1\/300*j**6. Let t(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-26)\/(-65) - (-8)\/5. Suppose 2*r - 3*a - 58 = -7*a, -5*r + 161 = n*a. What is the remainder when 75 is divided by -4*(-52)\/6*r\/44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*s + 105 = 25*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1299, 2575, 3833, 5073, 6295, 7499?\n\"Answer: -9*b**2 + 1303*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 59343386 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1165108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7214507181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*b + 453 = 437 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -67, -68, -69?\n\"Answer: -c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 3*o**3 - 56*o**2 - 28*o + 169. Calculate a(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 4*x - 4*k + 4, -5*k = -2*x - 5. Suppose x = z + 2*z - 60. Calculate the highest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 + ((-13)\/(-4) - 3). Which is the third biggest value? (a) p (b) 1\/5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2754, -2677, -2588, -2481, -2350, -2189?\n\"Answer: q**3 + 70*q - 2825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + n + 1154 = 0, -3*u + 20*n = 21*n - 862. Suppose 0 = -7*c + 1359 - u. Calculate the greatest common factor of 34 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 5 - 4)*(-39 + 39 + 7*n + (n + 2*n - 4*n)*(0 - 2 + 0) - 3 + 2*n + 3).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i**2 - 2874899 + 2874899.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**3 + 10*p**2 - 6*p - 5. Let o(z) = z**3 + 9*z**2 - 9*z - 4. Let g(m) = 3*o(m) - 2*r(m). Calculate g(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15040306327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 4. Suppose 2*r - 4002 = -u*g, 5*g = -4*r + 225 + 7780. Round r to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-1*sqrt(2200))\/(sqrt(1100) + sqrt(1100)*4*6).\nAnswer: 4*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -485 - -487. Solve u = -f + 2*f + 7, -j*f = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -4*m**3 - m**2 - 2*m. Is p(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 + 3 + (-2 - -5 - -1 - (490 + -475))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -13568420 divided by 4\nAnswer: -3392105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -20390, -40774, -61158, -81542?\n\"Answer: -20384*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 289735*j + 4 + 5.\nAnswer: 289735*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 483796290 a multiple of 1982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 39*v**2 - 40*v - 119. What is the tens digit of t(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -5*g + 25, 15 = d + 5*g - 10. Put -4, 36, d, 5 in descending order.\nAnswer: 36, 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 783877 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*c - 5*c - 7. Suppose 28 = 5*r - c. Let t = 0.2 + -0.1. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 9*s = -35. Suppose 2*o - 2 = 2*m, 0 = 4*o - s*m - 0*m - 7. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -19 + (0 - (-19 + (49 - 13)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 159 + 294. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4*10\/(-300)*-20)\/(-4)*-33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2504.9 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -41*r**3 + 297*r**2 + 5*r + 8. Let q(b) = -b**2 - b - 2. Let z(j) = 5*q(j) + t(j). Find the third derivative of z(m) wrt m.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 165783*v**3*y**3 + 12*v**3*y**2 - v**2*y**2 - 6*v**2*y + 20*v*y**3 - 2110*y**3 wrt v?\nAnswer: 994698*y**3 + 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -114308, -914834, -3087682, -7319012, -14294984, -24701758, -39225494?\n\"Answer: -114360*y**3 - y**2 - 3*y + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 610829952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 11104*w + 821517. Determine r(-74).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 16 + -36. Let v = -23 - x. Let g(t) = t**2 + 2*t - 7. Let j(d) = -2*d**2 - 4*d + 16. Let q(a) = -9*g(a) - 4*j(a). Give q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 322, -0.4, 1\/6, 260.\nAnswer: -0.4, 1\/6, 260, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (sqrt(7) + 0 + 4*sqrt(7) - sqrt(7)))*-3)**2 + -1*sqrt(112)*-5*6.\nAnswer: 192*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o - 6. Let y be r(-2). Let a = y + -2. Let m be 4\/(-2) + a\/6. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45.92 take away 2.1?\nAnswer: -48.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*u - 15*u + 21*u + 152. Solve -u + 31 = -w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7*285\/798)\/(63\/24*2).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 256 + -259. Let b(t) = 4*t**2 - 2*t - 22. Let i be b(p). Solve 4*u - i = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - 1011001010100?\nAnswer: -1011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -194 by -489.\nAnswer: 194\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*b = 53, 2*v + 5*b = -3*v + 80. Let x = -4 + -5. Let n = x - -59. Calculate the remainder when n is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -71630400 divided by -14326080?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -774*w + 154 - 713 = -215*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhkhhk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 + 13*s - 18. Let r be z(5). Is ((-5)\/(-5))\/1*r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32013 + 78*q + 753*q - 32014.\nAnswer: 831*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -210*a + 2. Let k(z) = -3991*z + 39. Determine -4*k(h) + 78*n(h).\nAnswer: -416*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 + 3*j + 44. Give c(-14).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 89 a factor of 93960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3298 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:06 AM and 1:27 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 + (6\/(-2) - -89). What is the least common multiple of 6 and v\/(-4)*12\/(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6971 = o - 6969. Let y(l) = 5 - 4*l - 2*l**3 + 6*l - 3*l. Let q(z) = -2*z**3 - z**2 - z + 4. Let v(t) = 3*q(t) - 2*y(t). Determine v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from {u: 3, n: 1, x: 13}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -c - 5178, -4977 = -2*u + 4*c + 189. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 4:23 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 - -4)\/((2\/(-29))\/(-2)). Let a = 34 + x. What is the least common multiple of 20 and (a + 165\/(-25))\/(1\/(-5))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -86 and -14197990?\nAnswer: 14197904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 170298 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 + -3.9. Let h = -17.72 + 18. Let j = 0.02 + h. Put j, k, 5 in ascending order.\nAnswer: k, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -30974321 or -92922965\/3?\nAnswer: -92922965\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (198\/(-891))\/(-4*1\/(-6)). Sort l, -2\/3, 4\/9, 6.\nAnswer: -2\/3, l, 4\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1059 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 r when four letters picked without replacement from {a: 5, r: 8}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 493296.7 centuries in decades?\nAnswer: 4932967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.2 + -2. Let c be 186\/(-1023)*33\/(-12). What is the biggest value in 0.3, s, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 + 6*b**2 + b + 4. Let m be w(5). Suppose 3*j - m = -136. Let t be (-4)\/j + 140\/(-34). Sort -2\/11, -0.1, t in decreasing order.\nAnswer: -0.1, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8622 and 1728?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.22 and -0.5.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/298680 and 49\/157200.\nAnswer: 2986800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 8641 + 289113 - 2656*t + 318*t**2 - 14198*t - 2*t**3.\nAnswer: -2*(t - 53)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 6:09 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-47 - -19) + 15 + (0 - -9) - 99?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2717102 a multiple of 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1020202021112 (base 3) to base 4\nAnswer: -2202030002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes before 11:23 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of 0 + 0*j**3 + 1\/30*j**6 - 127*j**2 + 0*j + 1\/105*j**7 + 0*j**4 + 0*j**5 - 1\/168*j**8. Find r such that d(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2)*(1 - 13 + 6)*(3*m - 1 + 1).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(14)\/sqrt(2) + 5 + (((sqrt(77) - 2*(sqrt(77) + -2*sqrt(77))) + sqrt(77))\/sqrt(11))**2.\nAnswer: sqrt(7) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 3*c. Let n(p) = -76788258*p. Give n(m(x)).\nAnswer: -230364774*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30 and 161295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes before 6:53 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**3 - 100*g**2 + 188*g - 92.\nAnswer: 4*(g - 23)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 23*o = -34, -o = p - 97 + 93 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5304459.\nAnswer: 3, 17, 104009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 12284593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a**5*h - 14609961*a**3 - 2*a**2*h - 125*a**2 + a*h - h + 387 wrt a.\nAnswer: 120*a**2*h - 87659766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2 - 288*v + 7788.\nAnswer: -3*(v - 22)*(v + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 217576 (base 8) to base 9\nAnswer: 121855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 162 - 78. Suppose -2*d - d - p = -3*f, -4*f + 157 = 5*d. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.01? (a) 193 (b) 5\/2 (c) 8 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4.0715214 rounded to three dps?\nAnswer: 4.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes before 10:11 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -133, -151, -195, -277, -409?\n\"Answer: -2*b**3 - b**2 - b - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 - 6*z**2 + z + 7. Let o be x(-6). Let y be (8\/(-2))\/(o - 3). Suppose -y*c - 6 = -46. Solve 0 = 4*n + n + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 + 46*i**2 + 133*i + 106. What is o(-43)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4059 - 4060. Which is the nearest to g? (a) -1\/2 (b) 7 (c) 0.3 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 37 (b) 3 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/6 and -79\/57029516.\nAnswer: 171088548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.008962 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -159817 * 655\nAnswer: -104680135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -402076.8 to the nearest one hundred.\nAnswer: -402100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-21))**(-10) assuming a is positive.\nAnswer: a**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 16950.43 years to decades.\nAnswer: 1695.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 7 = 4*f - 0*f, -16 = -5*f + 2*a. Suppose -5*w - 20 = 2*p, -5*p - 5 + 13 = -f*w. Suppose -2*l + 6 = -p. Solve 0 = -l*q + 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the third derivative of -4*n**7\/105 - 3*n**3\/2 - 14*n**2. What is the derivative of z(g) wrt g?\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -129452 by -4.\nAnswer: 32363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {l: 7, r: 1, i: 2, a: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -272*h + 84 = -286*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -m**8\/2184 - m**7\/65 - 7*m**6\/78 - m**5\/13 + 71*m**4\/156 + 17*m**3\/13 - m**2 + 1863. Solve d(z) = 0.\nAnswer: -17, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8209701517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 208893533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be 216\/60 - (-4)\/10. Suppose -s + 3*y = 5*y + t, 2*s + 5*y + 12 = 0. Suppose 4*x + 1990 = 5*r + 9*x, -s*x - 1187 = -3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1)\/(d**(-5)*d))**(-11\/3))**(16\/5) assuming d is positive.\nAnswer: d**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, -213, -1?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*x + 94 = -720 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*d - 2*d + d - 2*d + 5*d - 2*d + (-7*d - 6*d + 6*d)*(-1 + 4 - 4) + d - 2 + 2)*(5 - 1 - 2) as k*d + c and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**2 - 9*o + 25. Let z be c(4). Solve -2*m + 15 = -0*m - z*g, 6 = -4*m - 2*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -53 + 4. Calculate the common denominator of -43\/6 and -6 + 5 + s\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -382, -585, -598, -415, -30?\n\"Answer: p**3 + 89*p**2 - 477*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) -1 (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -53 - -81. What is the remainder when 55 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 315825917 is divided by 256.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 1 = x. Suppose 2*v = -4*a + a - 5, 5*a + 5*v = -5. Let c(t) = t**3 - 3*t - 3. Let n(r) = 2*r + 5 - 23*r**3 - 3 + 22*r**3. What is a*n(l) + x*c(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d + 1. Let q(z) = 3*z**2 + 7*z + 7. Let j(o) = -14*m(o) + 2*q(o). Let w(p) be the second derivative of 2*p**4\/3 - 58*p. What is w(j(u))?\nAnswer: 288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 22*r**2 + 2*r**4 - 14*r**2 + r - 7*r**2 as n + j*r + a*r**4 + c*r**2 + d*r**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -29528.\nAnswer: 147640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4273\/36 - 964\/9. Calculate the common denominator of m and -81\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5698)\/(-66600) - 2\/25. Let s(f) be the third derivative of 1\/315*f**7 - 1\/90*f**5 + q*f**6 + 0 - 10*f**2 + 0*f**3 - 1\/36*f**4 + 0*f. Factor s(g).\nAnswer: 2*g*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 65*n**2 - 4*n - 4. Let i be r(-1). What is the highest common factor of 40 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*g**4 + 35*g**3 - 90*g**2 - 315*g.\nAnswer: 5*g*(g - 3)*(g + 3)*(2*g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 7 = 9. Let v(f) = f**2 + 60*f - 254. Let d be v(4). Suppose -m + 42 = 5*k + 8, 5*k + 34 = m. Put o, m, d in descending order.\nAnswer: m, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 + 0 + 4*t)*(38*t**2 + 22*t**2 + 24*t**2).\nAnswer: 336*t**3 - 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1062800025 != 1062800025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -26 + 85 - v**3 - 54 + 5*v + 6*v**2. Suppose 5 = 3*p - 16. Calculate a(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -40\/147 and -139\/72.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -164*n**5 - 205*n**5 - 125*n**5 + 32*n**5 + 454*n wrt n.\nAnswer: -9240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 192 and 193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -31399 - -31531. Calculate the greatest common factor of h and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10416 and 5208.\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 841, 710, 579, 448?\n\"Answer: -131*a + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 130 and 1570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 - -1)*(-534)\/6. Suppose -i = -4*q + 131. Suppose y - 15 = 4*a - 2*a, 4*a - q = -3*y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 - (-11 + 76)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {t: 10, f: 7, m: 1, u: 2}.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -2*y**3 + 147*y**2 - 1093*y - 612. Give d(65).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 3*g = -g - 5 - 10 + 3, 24*b + 197 = g for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 223 + -211. Solve -p*j + 25 = -7*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence knwr when four letters picked without replacement from {n: 2, i: 1, r: 1, w: 1, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 178*r**2 + 335*r - 42 = 0. What is r?\nAnswer: -2, 21\/178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 450693?\nAnswer: 3, 50077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2927 * 0.5\nAnswer: 1463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 19 and 4901933.\nAnswer: 93136727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -110, -246, -492, -866, -1386, -2070, -2936, -4002?\nAnswer: -5286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5534*s + 0 - 2 = -5531*s + 2*x, 9 = 4*s - 9*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + -603352256?\nAnswer: -603352254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*u + 149*u - 3150 = 60*u. Let o(c) be the first derivative of 1\/10*c**4 + 1\/25*c**5 - u - 1\/5*c**2 + 0*c - 1\/15*c**3. Factor o(j).\nAnswer: j*(j - 1)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1084127130 rounded to the nearest one hundred thousand?\nAnswer: -1084100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 4685*j**2 - 4676*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -73 - -72.988. Let f = -0.512 - k. Which is the fourth smallest value? (a) 1\/9 (b) -0.4 (c) f (d) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -48\/11 and 101\/7036?\nAnswer: 77396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-2106)\/546*5\/3*4*(-28)\/(-16)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*m**2*w**2 + 7670*m**2 + 2*m*w**2 + w**2 - 128*w + 2 wrt m?\nAnswer: -8*m*w**2 + 15340*m + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1806 - -3?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 575.595 minus -522.637?\nAnswer: 1098.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) -8 (c) -0.077687 (d) 0.01 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000574190907 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 574247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 4 (b) 5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7906625.\nAnswer: 5, 43, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151736 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 970 = 9*w + 151. Let a be ((-4)\/7)\/((-78)\/w). Let t = -1\/348 - -235\/1044. Put -4\/5, t, a in increasing order.\nAnswer: -4\/5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -127, -130, -133?\n\"Answer: -3*i - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6743.\nAnswer: 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*q = -15*q - 152 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 244 + -413. Let l = d - -89. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 28200664*a**3 - 17248478.\nAnswer: 84601992*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 13118958581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -39, -102, -275, -612, -1167?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - 1. Let f = 20 + -16. Suppose 2*v + 6 = -f. What is the second biggest value in -4, b, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + (18\/(-6) - (-16213)\/(-1263)). Let v = s - -3\/842. What is the common denominator of v and 65\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 6*k**2 - 472*k - 674. Give b(83).\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of -f**6\/120 - f**5\/20 + 4*f**2. Let k(w) = -w**2. Let t(l) = -10*k(l) + 4*y(l). What is the third derivative of t(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(228) + 4*sqrt(228)*6)*3)\/(-6*6*2*sqrt(1728)))**2.\nAnswer: 11875\/82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -439665*a**3*i - a**2*i + a**2 + 60657*i wrt a.\nAnswer: -2637990*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3237 - 3233. Let l(c) = 21*c - 22. Calculate l(m).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -465963 or -465971?\nAnswer: -465963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l - 15. Let q(j) = 3*j**2 - 108*j - 9. Let r be q(36). Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.083*3.\nAnswer: 0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -1699*g - 1780*g + 3916 - 17832 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(325) + 4*(0 + sqrt(325)) - sqrt(325)) - -4*(sqrt(208) + (sqrt(208) - (sqrt(208) + 1 + -4 - sqrt(208)))))**2*4.\nAnswer: 4576*sqrt(13) + 141092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 8120448 divided by 63441?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 6*h + 6 = 0. What is the third derivative of 193*s**4 + 38*s**2 + 95*s**4 + 18*s**h - 10*s**2 wrt s?\nAnswer: 6912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 864\/(-672) - 219\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5994 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/3 + 8\/(-10). Let t be (-1230)\/(-328)*4\/(-10). What is the biggest value in x, -13, -3, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*v - 25*j + 23*j - 24, 18 = 2*v - 5*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -100101100 (base 2) to base 13\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 2*b**2. Let o(d) = 58*d**2. Determine u(o(f)).\nAnswer: 6728*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 15? (a) -3\/2 (b) 0 (c) 7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from {o: 2, v: 3, u: 12, l: 3}?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (3*j - 4*j + 3*j)*(-22*j - 3*j**2 + 22*j) as g*j + d*j**3 + o*j**2 + w and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 1\/12*f**4 - 1 + 0*f + 3\/2*f**2 - 1\/6*f**3. Let u(h) be the second derivative of k(h). What is u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 4 = 0, 2*v - 4*v - 4*r + 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3850.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, 20, -5.\nAnswer: -5, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2\/91)*((n\/((n**(2\/21)*n)\/n))\/n)\/n*(n*n\/n**(-30))**(-33) assuming n is positive.\nAnswer: n**(-288593\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 6, e: 3, q: 7, b: 1}. What is prob of picking 2 q and 1 e?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the second derivative of -3*i**6\/10 - i**5\/10 - i**4\/6 - 5*i**3\/2 + 22*i. What is the third derivative of s(l) wrt l?\nAnswer: -216*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 193 + 66 = 2*j - 5*u, 5*j - 2*u = 595. Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1433 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 1 + 2 = 3*k, -4*h = 20. Let v(l) = -l**3 + 3*l**2 - 2*l + 2. Let i be v(k). Solve i*n = n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(25)\/sqrt(5)*5 - sqrt(5))**2*6 + (-2 + sqrt(5) + -1 - (sqrt(5) + 0 + -1)**2) + 5).\nAnswer: -476 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 104065020 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 325*s**5\/6 + 3755*s**4\/6 + 2365*s**3\/3 - 1630*s**2\/3 - 100*s = 0. Calculate s.\nAnswer: -10, -2, -2\/13, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -312, -708, -1136, -1584, -2040?\n\"Answer: 2*v**3 - 28*v**2 - 326*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the second derivative of x**3\/6 - 11*x**2 - 13*x. Let m be f(10). What is the remainder when 20*(-2 + (-33)\/m) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6585, -26597, -59951, -106647, -166685?\n\"Answer: -6671*p**2 + p + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*q**2 + 147 - 411*q**2 - 145 - 3*q - 37*q**2 - 210*q**2 + 11890*q**4 wrt q?\nAnswer: 285360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -114+9352.9\nAnswer: 9238.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 64\/213 and 137\/11634.\nAnswer: 826014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -5. Suppose -g = 2*o - 5. Let u(q) = 3*q**2 - 2*q + 3. What is the units digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 12, v: 3}. Give prob of sequence ovvo.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 469292 divided by 7\nAnswer: 469292\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 + 3*x**2 + 2*x. Let q be a(4). Let l(s) = s**2 + 7*s - 4. Let g be l(q). Sort 1, 3, g in ascending order.\nAnswer: 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 49063724188 + 61.\nAnswer: 49063724249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f + 0*f + 2*f)*(-4*f**2 - 20*f**2 - 3*f**2).\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*x = 16 + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 - b**3 + 0 + 3 + b to g*b + n*b**2 + m + t*b**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -0.4 (c) 0.05726 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + (7 - 0) - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*2.24.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71065 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -140*o + 51 = -123*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -4697, -18956, -42735, -76046, -118901, -171312, -233291, -304850?\n\"Answer: -2*v**3 - 4748*v**2 - v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 71607.53 tonnes to kilograms.\nAnswer: 71607530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/16 + 50\/16. Suppose -g*d + 6*d - 312 = 0. Suppose 4*b - 3*k = -2*k + d, b - 4*k - 11 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, z: 1, i: 3, s: 1, n: 2}. Give prob of sequence tzti.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 202 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: What comes next: -93, -88, -69, -30, 35, 132?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 19 - 14. Find the third derivative of -10*h**y - h**3 + h**3 + 6*h**5 - 8*h**2 wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 59000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + 22061 + 0*f - 22066)*(f + 2 - 2).\nAnswer: -f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiiee. What is prob of sequence iiei?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*f - 44 = 48*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 + -2)*(1 + (-2)\/3). Suppose p*b + 30 = 2*b. Let j(s) = s**3 + 2*s**2 - s. Let c be j(-2). Solve c*i = -i - b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -80*c**5 - 779 + 779 + c**5 - 3*c**5 + c**5 + (3*c - 2*c + 0*c)*(-4*c**4 + 2*c**4 + c**4) + 4 - c**5 - 4 + c**5 - c**5 + 2*c**5.\nAnswer: -81*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**2 - 4*n - 5. Give h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507 is divided by 190.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -257*v + 672. Is 24 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**8*u)**(-13\/3))**(5\/4))**(-18) assuming u is positive.\nAnswer: u**(1755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -256*o + 507*o = 264*o - 91 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*j + j + j + 8 + 2*j)*(-800 - 769 + 1077) to q*j + o and give o.\nAnswer: -3936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (8 - 7) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**2. Let p(c) = -c**2 - 11. What is 6*b(g) - 2*p(g)?\nAnswer: -4*g**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - (-2 - (-4 - 3))) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 20\/819 and -73\/63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.552 - -0.052. Let h = 26 + -25.1. Which is the second biggest value? (a) 1 (b) j (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11084, 11074, 11058, 11036, 11008, 10974, 10934?\n\"Answer: -3*p**2 - p + 11088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 638.2445 decades?\nAnswer: 76589.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 PM and 3:47 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {h: 4, m: 2, x: 2, k: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -159 (b) 1\/2 (c) -1 (d) -0.3 (e) 57 (f) 2\/23 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002109 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-5 + (-1 - -7) + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from eettfbetee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**3 + 142*j**2 - 281*j + 140 = 0 for j.\nAnswer: 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150*w - 142*w - 1984 = 0. What is the remainder when w is divided by 68?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from 108882.\nAnswer: 108878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of -w**5\/6 + w**4\/4 + w**3 - w**2. Let k(c) = 3 - 3 + 5 + 5*c - 9*c**2. Let s = 552269 + -552264. Calculate s*d(m) - 6*k(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -118 + 318 + -75 + -70\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 36702923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 8*o. Let h(y) = 3*y + 9 - 9 - 2*y. Let f be (2\/(-3))\/(2\/(-156)). Calculate f*h(a) - 6*v(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*t**3*y**3 - 8610*t**3 + 6563*t*y**3 wrt y.\nAnswer: 6*t**3*y**2 + 19689*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 5*q = -4, -8 = -b + 4*q - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (10\/(-14) - -1)*56\/88. What is the third biggest value in 26\/5, l, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c - 10. Let p be o(-12). Suppose 3*m - 18 = p*s, -5*s - 17 - 2 = -m. Suppose -j + m*j - 12 = 0. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*f - 884 = 118 + 613 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0468 and -182.\nAnswer: -8.5176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -3335764, -6671523, -10007282, -13343041, -16678800?\n\"Answer: -3335759*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 10\/(-55) - (-64)\/(-11). What is the common denominator of 47\/2 and (2\/(-24))\/((-10)\/c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 106582041000 to the nearest one million.\nAnswer: 106582000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -164 + 164.134. Let z = -1.134 + w. Let y = -8 - -8.4. What is the closest to z in y, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**2 + 2*d + 2. Let h(c) = 107*c**3 + 4*c**2 + 332*c + 8. Let x(u) = h(u) - 4*p(u). Find the second derivative of x(l) wrt l.\nAnswer: 642*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of -x**4\/4 + 3*x**3 - 9*x**2\/2 + 5*x - 256. What is u(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -19*x**2. Let q(k) = 3*k + 393 - 393. Calculate q(s(z)).\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 - 2. Let w(c) = -q + 4 - 4*c**2 + 5*c**2 - 2*c**2 + 6*c. Let h be w(5). Let p(j) = -j**3 + 4*j**2 - 2*j - 2. Determine p(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -76 + 78. Let g(z) be the third derivative of z**7\/1008 + z**5\/20 - 7*z**2. Let q(j) be the third derivative of g(j). What is q(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(((n\/(n**(-2\/5)*n*n))\/n)\/n))**(-2\/107)\/(n*n**(-9)*n*n**(-9)) assuming n is positive.\nAnswer: n**(8524\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 28.486 and -2?\nAnswer: 30.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*d**2 + 53100*d + 140980500.\nAnswer: 5*(d + 5310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 623611591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 + 2*c**2 + c**2)*(-3*c**3 + 2*c**3 - c**3 + 2*c**3 + 2*c**3 - 5*c**3 - 2*c**3 + 0*c**2 + 0*c**2 + (-c**2 + 2*c**2 + c**2)*(4*c + 0*c - 6*c)).\nAnswer: -36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 41854, 41864, 41874, 41884, 41894?\nAnswer: 41904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 418, 420, 424, 430, 438, 448?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 220, 219, 218, 217?\n\"Answer: -h + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 17149816 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 PM and 12:07 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51 - 28*v**2 + 95 - 34*v**2 - 44.\nAnswer: -62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 304 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 6 = -x. Suppose -20 = -y + 3*y. Let i be (-50)\/(-6) - y\/15. Calculate the greatest common factor of i and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3753455.\nAnswer: 5, 750691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35743 is divided by 17496.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1872) - (-1 + sqrt(1872) + 5)) + 1 + sqrt(1872)*-2)**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/16*2240\/(-80)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3\/(495\/(-12)))\/((-2)\/5). Sort z, 0.4, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 6*(-4 + (-3 + sqrt(1100) + 0)**2)*-4*-5 + -1.\nAnswer: -7200*sqrt(11) + 132599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -92 divided by -3?\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -28\/3 and -7\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5533 is divided by 253?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -3*f - 10. Let u(x) = -14226*x. Give u(k(o)).\nAnswer: 42678*o + 142260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/23, 1, -0.2, 2\/11?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 4967, 9936, 14905, 19874, 24843?\n\"Answer: 4969*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -48458?\nAnswer: -48456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 292*o + 2971. Is 4 a factor of s(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c**2 + 4*c - 17. Let f(y) = -10*y**2 - 20*y + 85. Let n(m) = 2*f(m) + 11*r(m). List the prime factors of n(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 8*f = 152. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 + 95*t**2 + 2170*t - 1798. Give z(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -43071034 divided by -582041\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 22.8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 9 + (-190)\/(-55) + (8 - 21). Suppose 0 = 5*h - 5, 0*h + 5*h = s + 8. Let k = 32 - 28. Which is the second biggest value? (a) j (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*s - 30, 4*u - u = -3*s + 66. Calculate the highest common divisor of 160 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6048 - -6051. Which is the nearest to -1? (a) 1\/4 (b) w (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 71 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 247*s + 11114. Calculate m(-45).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1758112 and 6496?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2277897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 3*v. Let t(d) = -5 + 5 + 4*d**2. What is x(t(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-24)\/(-15) - 2)\/(8\/(-80)). Suppose -4*j + 773 = -z, 2*j = w*z + 204 + 200. Let i = j - 2879\/15. Is i greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 2, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 95088, 190157, 285212, 380247, 475256, 570233, 665172, 760067?\n\"Answer: -i**3 - i**2 + 95079*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1679\/(-115) - -15 - (-626)\/10\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -156.99999656 + 157. Round q to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jnjcnncnjnj. Give prob of picking 1 j, 1 n, and 1 c.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 42 = 5*c. Let p be c\/1*(-2)\/(-3). Calculate the greatest common divisor of 42 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 141231253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4589954 + 41?\nAnswer: 4589995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2*q**2 - 2*q + 4. Let h be r(1). Let v = -1 + 16. Suppose 3*i + v = 3*y, 0 - 10 = 2*i - y. Sort -3, i, h.\nAnswer: i, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 59*k**3*t**2 + 21*k**3*t - 3*k**3 - 331*k**2*t**2 + 38*k**2*t wrt k?\nAnswer: 354*t**2 + 126*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -0*t - 22. Let s(b) = -21 - 12*b - 9*b + 22*b - 5*b + 2*b**2. Is s(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, 10\/9, -22, 34, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are -32709465 and 1\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 5:32 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -8 (base 14) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d + 5 = 3*d. Let p = d - -5. Suppose 0 = f - 1, 3*f = -4*b - 2*f + 25. Solve 1 = p*v + b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5087124 and 24246.\nAnswer: 2284118676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1806, -3631, -5456, -7281?\n\"Answer: -1825*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-34)\/6 + (-3)\/9. Let m = k - -4. Let g be (44\/m)\/(0 - 2). Calculate the highest common divisor of 44 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 83632.18 minutes to seconds.\nAnswer: 5017930.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 710\/7? (a) -0.03 (b) 0.1 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, k: 1, i: 8, o: 7}. What is prob of sequence ri?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 434119692.89999831 - 434119668. Let k = -24.9 + z. Round k to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((3 - 2*k - 3)*(5*k - k - 3*k) + 5*k**2 - 2*k**2 - 4*k**2)*(79*k + 152*k - 19*k) to d*k**2 + o*k + b*k**3 + v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of 17*f**4\/12 + f**3\/6 - 13*f**2\/2 + 41*f. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 928 and 709.\nAnswer: 657952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = u + 3*t - 11, 22 = 5*u - 4*t. Let x(y) = -u*y - y - 3*y + 7. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -968 or -868?\nAnswer: -968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4338337139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u + 5. Let z(j) = -21*j + 135. Let i(p) = -54*o(p) + 2*z(p). Let s(h) be the third derivative of h**4\/24 + h**2. Determine i(s(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.84 times 279?\nAnswer: -234.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*o - 3*q, 10*q = 5*o + 7*q + 14. Let n = -4 + 0. Suppose -r - 3*r = 12. Put n, o, r, 0 in decreasing order.\nAnswer: 0, o, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2 + 6*k + 3. Suppose 2*a + 2 = -2*j, -42 = 5*a - 5*j + 13. Let x be c(a). Suppose h + 4*q = -0*q + 4, 10 = -h + x*q. Does h = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 54 - (-5 + 0 + -1 - (-91 - (-81 - -4)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-8)*4 - (-1 - 20). Differentiate -13*f - x + 46 - 3 wrt f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 4 = 4*l - 1, -9 = -x - 3*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 343 and 13622?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6762 and 124683.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.3502 - 0.6498. Which is the second biggest value? (a) 3\/4 (b) -26 (c) 27\/2 (d) 0.2 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 110.379 from 1863134.\nAnswer: 1863023.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 4*m = 48, -363*j + 362*j + 29*m + 348 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2665.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-48)\/(-1860)*((-1405)\/3934)\/((-16)\/14)?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21827022.\nAnswer: 2, 3, 7, 519691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-1\/33)\/(x\/((x*x**36)\/x)) assuming x is positive.\nAnswer: x**(1154\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 8 = f. Let k(h) = -30*h**2 - 15*h - 7. Let t(y) = -37*y**2 - 18*y - 7. Let i(z) = 6*k(z) - 5*t(z). Let o(j) = 9*j**2 - 13. What is f*o(q) + 7*i(q)?\nAnswer: -q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -5980, -24076, -54264, -96544?\n\"Answer: -6046*m**2 + 42*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 774568409*w**2 - 308*w - 128354.\nAnswer: 1549136818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/4, -2\/7, -0.3, -4, -0.1, 58152, 19\/4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 3*y**2 - y. Let o be r(-3). Suppose -28 = -d - o. Let a(b) be the second derivative of -b**5\/10 - b**4\/4 - b**3\/2 - b**2\/2 - b. Determine a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44005.999981143 + -44006. What is l rounded to 7 dps?\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -2*q**3 + q**2 - 10*q + 19. Determine n(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 19 = 1, 3*z + 0*z - 22 = -8*g + 2*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one halves of a micrometer in nanometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 638833.9173 to the nearest ten.\nAnswer: 638830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v**3 + 20954 - 20954.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dr when two letters picked without replacement from ndnnlnrnnnrl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -6255*h = -218887 - 269003 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -184 + 234. Calculate the greatest common factor of 450 and n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1972 and 136?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 3226 and 0.08.\nAnswer: 258.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 212142 (base 5) to base 7\nAnswer: 26624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*c + 4*c + 2*c)*(-8 - 4 - 2) + 3*c - 4*c + 3*c)*(2*c**3 - c**3 + 0*c**3 + (-2*c**2 - c**2 + c**2)*(0*c + 3*c - 4*c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 136 a factor of 179191832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 12039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 50*q + 150 + 100 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 21 = -n, 0 = -9*b + 4*b + 5*n - 5. Let i(d) = -d**2 + 9*d - 20. Let g be i(b). Solve 2*t + 10 = -g*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2629 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00086005 to 5 dps.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*b + 8*b + 5*b - 9*b.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 - 2)\/(1 - 2). Suppose 2*u - 1 - 5 = j. Solve w = 4*l + 7, -5*w - u*l = -10*w + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1011 - 1424 = -7*d. What is the second derivative of 82*u**4 + 3*u + d*u**4 + 30*u**4 wrt u?\nAnswer: 2052*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(5100)*2*-4)\/(-6*6*(1*sqrt(363) + sqrt(363))).\nAnswer: 20*sqrt(17)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(833) - (sqrt(833) + 1 + sqrt(833) + -5)**2) + 4 + (sqrt(833) - (sqrt(833) + 0 + sqrt(833))*5 - -3*(sqrt(833) - (sqrt(833) + -1)))**2.\nAnswer: -259*sqrt(17) + 64138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 337*m - 496 - 1526 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 788990 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.08 (b) 0.3 (c) 4\/215 (d) -5 (e) 0 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/63700 and -79\/88000.\nAnswer: 56056000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-15)\/(-84))\/(-5))\/((-28)\/112).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2879 is divided by 240?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 117 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1952, -3897, -5842, -7787, -9732?\n\"Answer: -1945*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*b**4*k - 75178*b**4 - 862*b*k - 344*b wrt b?\nAnswer: -60*b**2*k - 902136*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 + 105*h**2 + 1937*h - 205. Calculate j(-81).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 0*l**2 - 2 - l + 1 + l**2. Let j(y) = -y**3 - 3*y**2 + 2*y + 3. What is -6*h(z) - 2*j(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.4397053895 to 4 decimal places.\nAnswer: -0.4397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15, -273, -1041, -2595, -5211, -9165, -14733, -22191?\nAnswer: -31815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26.221312 - 0.215562. Let z = -25.5 + -0.5. Let p = b + z. What is p rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1201 (base 4) to base 9.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -631\/5 - -125. Let j = i - -17\/10. Solve -3\/2*s + 3\/2*s**2 + 1\/2 - j*s**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**2 - 6*c**2 + c**2. Let b(u) = -2*u**2 + 13*u - 13. Let a(l) = l**2 - 6*l + 6. Let h = 70 - 64. Let s(w) = h*b(w) + 13*a(w). Calculate m(s(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -25024, -49976, -74928, -99880, -124832?\n\"Answer: -24952*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 6*i - 12. Let j be c(7). Suppose 0*h = -2*s - 4*h + j, 3*h + 30 = s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*h + 3*h - h + (4*h - 6*h - 3*h)*(230 - 450 + 201).\nAnswer: 93*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24947475 is divided by 84282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28765 and 116215?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-12) - 87\/12. Let d be (i + 7)\/(4\/2). Suppose d = 5*k + 15 - 45. Solve -3*u + 0 = k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 547139505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -311, -298, -285, -272, -259?\n\"Answer: 13*p - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1820 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 667 is divided by 336?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26 + 48. Let i = q + -20. What is the third biggest value in i, -1\/6, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1397 - 4192\/3. Which is smaller: 18\/17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25786281 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -165*h + 54. What is the hundreds digit of d(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4625?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5484 + -592241\/108. Let m = -1\/27 + d. Let i = -0.859 - -0.559. What is the nearest to -2 in -0.2, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 4*o + 10 = 0, -2*o - 6 - 2 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 37.1551 + 0.119623?\nAnswer: 37.274723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 3*h - 40 = -4*c, h = -5*c + 40. Calculate the highest common factor of 40 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1996714770?\nAnswer: 2, 3, 5, 17, 3915127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + -5. Suppose -j - 5*u = -49, -3*j - 5*u + 42 + 55 = i. What is the remainder when j is divided by 6\/21 + (-30)\/(-63)*33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 - -6. Suppose -2*y = -b*y + 9. Suppose 2*g - 3*g + 3 = 0, y*g - 4 = a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -790636*u**3*x**2 + 69*u**3 + 3571*u*x - 3*x**4 wrt x.\nAnswer: -1581272*u**3 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -68210.3765 to the nearest one thousand.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 108*p**2 + 2145*p + 14. What is a(82)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + 51 - 47. Solve 4 = -y - 5*b, 0 = -2*y - 3*b + o - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -67*n + 82. What is the thousands digit of z(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -3*m - 37. Let d = 7 + -22. Let x be k(d). Suppose 2*t + 4*s + x = 0, -4*s = -2*s + 8. Solve -t*j - q = -6*j + 6, -5*q + 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the first derivative of 28*y - 17 + 28*y - 37 + 8*y**5. Find the first derivative of c(a) wrt a.\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 183 + -2\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 9940.4 and -1867.\nAnswer: -18558726.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*p - 3*z + 22, -3*z = -p + 34. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the third derivative of -u**4\/24 - u**3\/2 + 6*u**2. Let w be f(6). Which is bigger: -10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 213713 is divided by 213696.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -125 + 125. Let i(u) = 3*u**2 + 3*u + 4. Let h(s) = 7*s**2 + 8*s + 8. Let g(b) = -2*h(b) + 5*i(b). What is g(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1800000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 6*v**5 - 212*v**4 + 3890*v**3\/3 + 10536*v**2 + 6560*v + 3200\/3 = 0.\nAnswer: -4, -1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 81076.48 nanometers in millimeters?\nAnswer: 0.08107648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5566*a**2 - 973*a**2 + 6*a - 6*a to the form p*a + n*a**2 + u and give n.\nAnswer: 4593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1365 times -0.5?\nAnswer: 682.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 74806*a**5*r**2 + 9*a**2*r + 231*a**2 + 36*r**2 wrt a.\nAnswer: 4488360*a**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of 4*r**3\/3 - 3*r**2 - 3*r - 5. Let z(s) = -7*s + 6. Calculate 6*a(d) + 7*z(d).\nAnswer: -d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 399471 is divided by 16644?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3)\/6 - 86\/(-12))*3. Suppose 4*g - 16 = 7*k - 2*k, -f = -5*k. Suppose -5*w + 24800 = -g*w. Round w to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (90\/(-40))\/(9\/(-1812)).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-92)\/24 - (-371)\/42.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 272\/15 - 18. Let i = 0.048 - 30.048. Let h = i - -41. Sort h, -2\/15, g in descending order.\nAnswer: h, g, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15153 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -24, -77, -214, -477, -908, -1549?\n\"Answer: -7*p**3 - 4*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 32, 192, 562, 1226, 2268, 3772, 5822?\n\"Answer: 14*b**3 + 21*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 340*d + 35*d + 460*d + 263*d = -69174 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -2*v + 4*j, -2*v + 5 - 27 = -2*j. Let r be 3256\/77 - (-2)\/v. Suppose 3*q + 3*t = 156 - r, 0 = -3*q - 5*t + 120. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17746*-0.3.\nAnswer: 5323.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of o**2*q**2 + 6216894*o**2 + 32257747*q**2 wrt o?\nAnswer: 2*o*q**2 + 12433788*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 8*x**3 - 50*x**2 + 5*x + 1796. Is u(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11682 and 528.\nAnswer: 93456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2270 a factor of 31979760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -16 and -27935369.8?\nAnswer: 27935353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3279103.\nAnswer: 877, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18086330*1.\nAnswer: -18086330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 16\/3 and 15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2, 0.4, 13, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 69472?\nAnswer: 69472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 11.31 less than -57579?\nAnswer: -57590.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.24 + 21.34. Let j = y - 19. Let z = -0.3 + 0.2. Which is the closest to z? (a) j (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 5*p - 73 = 0, -p + 0*p = 5. Solve j = 13*m - 17*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 68 - 342\/5. Which is the third biggest value? (a) -1.8 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 5*i**4 + 3*i**3 - 2*i**2 + 4*i + 12. Let p(x) = 4*x**4 + 2*x**3 - 3*x**2 + 4*x + 11. Let r(t) = -3*m(t) + 4*p(t). What is s in r(s) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 69 = -28*y + x, -4*y = 76*x - 75*x - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 294*z**3 - 5*z**2 + 1. Let g(o) = -147*o**3 + 3*o**2 - 1. Calculate 5*g(d) + 3*r(d).\nAnswer: 147*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the second derivative of f**6\/360 + 41*f**5\/120 + 119*f**4\/12 + 126*f. Let s(d) be the third derivative of x(d). Let r(z) = 3*z. Determine s(r(h)).\nAnswer: 6*h + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-204)\/(-357) + (8\/(-6))\/(14\/6). Solve 24*n + 4*n + 168 = r for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of y**5\/60 + 7*y**4\/12 + 17*y**3\/6 - 12*y**2. Let h be a(-9). Let c = 55 + h. What is the greatest common factor of c and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 4 + 172. Let d = c + 43. Let t(z) = 98*z**2 + z. What are the prime factors of t(d)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 0.04, 1\/3, -5\/16, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-27 + 20 - 80)*(-44)\/6. Is h less than 638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/((-7)\/((-266)\/(-2812)))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 240996 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do -9512 and 31767 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -9*x**2 + 7*x + 20. Let p be s(-6). Let q = p - -592. What are the prime factors of q?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 8, u: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1416313181 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/6 (c) 2\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(3264) + (-1*sqrt(3264) - sqrt(3264)))*6)\/(sqrt(9)\/sqrt(75) + (sqrt(147)*-1 - sqrt(147))).\nAnswer: 1 + 80*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 23 (b) 0 (c) -6 (d) 0.3 (e) 85 (f) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (72\/2430*15)\/((-4)\/(-1))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in -113, -1\/5, 4, 0.2, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -8*x - 6. Let q(w) = -11*w - 8. Let k(l) = 4*g(l) - 3*q(l). Let c(j) = -36*j + 2. Calculate k(c(a)).\nAnswer: -36*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = -l + 5*u, -4*l - u + 180 = -5*u. Let m = l - 32. Solve 3*g - m = -5*f, -5*f + 20 = -3*g - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*j**2 + 3*j**2 + 4*j - 10*j**2 - 10*j**2.\nAnswer: -2*j*(11*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 + -6)*2 + 13. Let s(u) = -2*u**2 - 3*u + 2. Let w(x) = 3*x**2 + 3*x - 3. Let z(f) = 4*s(f) + 3*w(f). Let h be z(3). Put 5, h, d in descending order.\nAnswer: 5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 87 = 186*w - 99 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (212\/(-5247))\/(4\/(-18)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of -d**6\/120 + d**5\/5 - 5*d**4\/12 - 7*d**3\/6 + 2*d**2. What is the units digit of b(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14220934?\nAnswer: 2, 7, 13, 78137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 313*z**2 - 5*z - 43 + 20*z - 173*z**2 + 43 + z - 142*z**2.\nAnswer: -2*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 157411 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 32410 (base 8) to base 9.\nAnswer: 20554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 30 and 116848074.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 41066, 40687, 40068, 39209, 38110, 36771?\n\"Answer: -120*w**2 - 19*w + 41205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -63455640 divided by -270024\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -125*j**5\/6 + 3475*j**4\/6 - 9095*j**3\/6 + 8765*j**2\/6 - 1760*j\/3 + 250\/3 = 0. Calculate j.\nAnswer: 2\/5, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -16*y**3 - 20*y**2 - 21*y. Suppose 5*d - 18 - 37 = 0. Let s(j) = 3*j**3 + 4*j**2 + 4*j. Give d*s(o) + 2*x(o).\nAnswer: o**3 + 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 3a5 (base 15) to base 2.\nAnswer: 1100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -35\/4 and -5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 2, u: 1, c: 6, l: 8, k: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 404.7405mg in kilograms?\nAnswer: 0.0004047405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-103)\/(4223\/(-164)))\/(2\/11)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 * -1.3248\nAnswer: -7.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 477229 is divided by 676?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11.4 - -7.3. Let d = 2.0984 - -0.0016. Let i = d + j. Put i, 0.2, -1 in increasing order.\nAnswer: i, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55 and 3205.\nAnswer: 35255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 89 + -92. Which is the third biggest value? (a) 2\/51 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 96314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 6, c: 4, e: 4}. What is prob of sequence ckec?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -5*i**2 + 312*i - 598. Let v(g) = 10*g**2 - 625*g + 1195. Let d(n) = 5*j(n) + 2*v(n). Find h, given that d(h) = 0.\nAnswer: 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 140 - 139.834. Let k = 0.044 + o. Let a = 0.09 + k. What is the third smallest value in 5, -6, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3, o: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1701\/(-12474))\/((-6)\/(-11)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmssszmssszsm. What is prob of sequence mssm?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - 3. Let c = -29 + 41. Let y = c + v. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 51006133, 102012254, 153018377, 204024502, 255030629?\nAnswer: 306036758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 20599*f + 556178. Calculate j(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -210211221 (base 3) to base 12.\nAnswer: -9274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -440359*c**2. Let g(n) = -73*n. Calculate j(g(p)).\nAnswer: -2346673111*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116*x**3 - 114*x**3 + x**2 - 697*x + 697*x.\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*b - 4*b + 3*b + w - 48, 28*b - 3*w + 182 - 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -105 - -112. Suppose 4*s = -5*r + 4*r + 12, 0 = 4*s + 4*r - 12. Let y = 8 + s. What is the remainder when y is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 4 - 4)*(2*h**3 - 4*h**3 + h**3)*(-h + 0*h + 3*h)*(-58 + 84 + 30).\nAnswer: -224*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ummzmyeueemupmmzmm. What is prob of sequence ue?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 - (13 - -3) - (0 + 14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -202 * 1.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -17, -2, 6, -11, -5, 41 in descending order.\nAnswer: 41, 6, 2, -2, -5, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25 - 13. Suppose -w = -3*s + 9. What is the units digit of 4\/18 + s\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -40*o + 43*o + 2*w - 3, -15 = -2*o + 3*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 312 + -665\/2. Suppose 5 - 47 = -2*x. Let c = z + x. Is -0.2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 2*f + 26 = -0*r, -3*r - 9 = 3*f. Let s be 4*(4\/r)\/(-1). Let y = s - -1. Solve 2*z - 4*z + 20 = -2*g, y*z + g = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 4*q - 6 - 26, 0 = 5*q + 4*y - 14. Suppose -12 - q = -3*k. Calculate the remainder when (k\/4)\/(3\/54) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 192 + -182. Suppose -u*x = -9*x - 33. What is the highest common factor of x and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-12)\/(-16))\/((-180)\/(-232)) and -12\/85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 - 4*z**2 + 3*z + 8. Let t be u(-4). Suppose 3*w + d - 26 = -4*d, 16 = 4*w + 2*d. Is 19 a factor of (t - -3) + 90\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/((3*5\/15)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 6*k + 9. Let o(u) = 7*u + 10. Suppose -n = -5*r - 6*n - 30, -r - 7 = 2*n. What is r*o(p) + 6*x(p)?\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 - l**2 + (-17*l + 163*l + 114*l)*(-3*l + 2*l + 0*l) + 4*l**2 - 5*l**2 - 2*l**2.\nAnswer: -264*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjmmjj. Give prob of sequence jjmj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((v**(-5)\/v)\/v**6)**(7\/3))**24)**(-2\/47) assuming v is positive.\nAnswer: v**(1344\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 21*g - 5. Let l be i(2). What is the greatest common divisor of 148 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 1 - 3)*(3 - 3 - 1) - 3 + 3 + 2)*(37 + 5*c + 4 - 80).\nAnswer: 15*c - 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, a: 6, d: 1}. Give prob of picking 1 n and 1 a.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 1)*(4*a**2 - 4*a**2 + a**4) + a**3 - a**3 + a**4 + 0*a**3 + a**4 + 0*a**3 + (105*a - 22*a + 85*a - a**3)*(-1 - a + 1) + a**4 + 2*a**4 - 5*a**4.\nAnswer: 2*a**4 - 168*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l + 221 = 62 - 101. Solve -2*m + 8 - l = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 + 9.1. Let g = -608 - -1829\/3. What is the biggest value in g, -1\/2, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 140 + -84. Let c = 61.8 - b. Round c to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 19 + 9)*(3*v + v - 2*v).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + 13 = -f, -5*f + c + 22 = 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1780 is divided by 142?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*u - 2*u - 3*u)*(-2 + 0 + 3 + (-13 + 33 + 42)*(6 - 4 + 1)).\nAnswer: 187*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 484457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 - 23*r**2 - 44*r - 45. What is t(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 13 - 4 - 15 + 8*u wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 134186910?\nAnswer: 2, 3, 5, 11, 13, 31, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8 - -2)*1\/(-2). Suppose x = -h*n - 14, -2*x + 0*n + 2*n + 12 = 0. Let o(i) = -4*i - 1. Give o(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/3, 13, -5, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*g - 78*g + 728 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of 7*d**4\/2 + d**3\/3 + 265*d**2\/2 - 2*d + 7. Find the first derivative of c(b) wrt b.\nAnswer: 84*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t - 5*s - 29, 2*t - 3 = 2*s + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (38 + 116)\/(33\/6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 - 2*u**2 - 2*u + 3. Suppose -4 = -s, 3*i + 2*s = 2*i + 10. Give q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 44*x - 35. Let g be k(1). Solve 86*h - 83*h - g = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/50*40\/60. What is the nearest to -0.4 in 0.2, l, 210?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 10*v - 2 = 0. Solve v*m + m - 3 = 4*b, -3*m = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the second derivative of h**7\/84 + h**6\/30 - h**5\/20 - h**4\/3 - 7*h**3\/12 - h**2\/2 - h. Factor j(d).\nAnswer: (d - 2)*(d + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -q**3 + 5 - 1 + 2 + 1 + 1129*q - 6 to the form o + w*q + t*q**2 + g*q**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -22143 + -44356?\nAnswer: -66532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor k**4 + 1748756*k**3 + 1748755*k**2.\nAnswer: k**2*(k + 1)*(k + 1748755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -350 - 203*y + 212*y + 368 - 3*y**2 + (0*y + 0*y + 2*y)*(-2*y + 0*y + 3*y) to the form h + s*y + i*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(8) + 1*(0 + sqrt(2)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2977255.941 rounded to the nearest one hundred?\nAnswer: -2977300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 92647187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (2*(-45)\/(-275))\/(1680\/(-5600))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/26 in 0.4, -8, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 14\/112 + (-111)\/(-8). Suppose -i*s + 11*s + 165 = 0. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*s**2 - 6530*s + 58365 = 0. Calculate s.\nAnswer: 9, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -9, -0.07, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 29910 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4368.016592735 - -0.1?\nAnswer: -4367.916592735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) -1 (b) -15.1 (c) 1.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1868 and 0.5?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q. Let x be j(8). Suppose -3*g + 2*n + x = g, 5*g + 2*n = 19. Suppose -5*k - 4*a = -g*a - 25, -4*k - a = -21. Solve -15 = k*r + r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 17 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -1323539 by -1.\nAnswer: 1323539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = x - 5*a + 4, 0 = 4*x + a - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 8 + (7 - 7) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 1616*w - 199. Is a(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*g - 15995 + 69325. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 37, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52, 20, 138, 302, 512, 768?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -87\/14, -2\/3, -6 in decreasing order.\nAnswer: -0.5, -2\/3, -6, -87\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 + 34*j**2 - 62*j + 85. Let l be r(-19). What is the greatest common divisor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.597869 - -0.198191. Let a = m + -0.05906. Let n = a + -4.13. Round n to 2 dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 - 1)*(-4)\/8. Suppose x*b - 284 = 5*b. Round b to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 - ((-15)\/5 + -4). Suppose -3 = -k*p + 2*g, -6*p + 10 = -p + 5*g. Let s(w) = 85*w + 2. Is s(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.05 + -0.05. Which is the closest to j? (a) 4 (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the first derivative of 2*m**5\/5 - 3*m**4\/2 - 4*m**3\/3 + 12*m**2 - 16*m - 23. Determine i so that j(i) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/6 in 0.4, -5, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 33 = -5*z - 1, 2*z + 7 = 5*c. Suppose -55 = -c*q + d + 65, -5*d + 56 = q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r*r*r\/r**(-28)*r)\/(r**(-4\/19)\/r))**(4\/9))**(-43))**(2\/79) assuming r is positive.\nAnswer: r**(-217064\/13509)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 84, 97, 124, 171, 244, 349?\n\"Answer: i**3 + i**2 + 3*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.737 - -0.163. Let p = 2.6 + 0.4. Sort -3\/4, j, p in increasing order.\nAnswer: -3\/4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 12:29 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 - 12*w - 12. What is the remainder when 23 is divided by l(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -54467 + 22237. Is b\/(-11) + 15\/(-9)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 44*u = 158*u - 4394400. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/21029899 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4293411?\nAnswer: 3, 19, 75323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 + 10*i**2 - 45*i - 82. Calculate y(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -153608 - -153607. Let x(m) = m**3 + m**2 - 57. Let s be x(0). Put s, -0.5, f in descending order.\nAnswer: -0.5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1813141\/110 + -2 + (-1)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51818 take away -57?\nAnswer: 51875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -7083\/8 smaller than -885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -5880*z + 9. Let l(g) = -2939*g + 5. Give -7*l(r) + 4*q(r).\nAnswer: -2947*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of j**3 + 42*j**6 + 86*j**2 + 108*j**2 + 347*j**6 - j**3 wrt j?\nAnswer: 46680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 0.1584, -2\/227, -0.1 in ascending order.\nAnswer: -0.1, -2\/227, 0.1584, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -77 divided by 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3 times 0.0468\nAnswer: -0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - 0) + -4 + 8. Let s be (v\/9)\/(2\/18). Suppose -17 = -2*y - 0*y - s*p, -4*y = 5*p - 31. Put -1, -4, y in descending order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 35 or 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 5:11 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do 7 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-48804)\/3920 + (-40)\/50.\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 - 7*p**2 - 8*p + 4. Calculate q(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 306*w + 230. What is the hundreds digit of p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1362840773 - -0.012429.\nAnswer: -1362840772.987571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from olobkooblooolkkolo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24926 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -57 + 84. Let h be ((-2)\/(-6))\/((-63)\/w). Let b = 22\/15 - 4\/5. Is b smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j + 2*j + 4*j**3 - 34 + 43 - j**3 - 3*j**3 + (-j**2 - 2*j**2 + 2*j**2)*(-3 - 2*j + 3).\nAnswer: 2*j**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-82)\/(-287) - 2*104\/(-7). Let x be -5*2\/i + 5\/6. Let t = 0.42 - 0.32. Which is the biggest value? (a) t (b) -1\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 - u. Let x(k) = 2*k**3 - 3*k**2. Give x(h) + 3*y(h).\nAnswer: 2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-223 - 148*v + 223)*((3 - 5 + 3)*(-2 + v**2 + 2) + 0*v**2 - 2*v**2 + 7*v**2) in the form o*v**3 + p + y*v**2 + f*v and give o.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 39\/(-195) + (378\/120)\/7. Factor u*h**4 + 0 + 3\/4*h**2 + 9\/4*h - 5\/4*h**3.\nAnswer: h*(h - 3)**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 + 20*f**2 - 8*f - 30. Calculate l(-20).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -1258 and 0.163344588687.\nAnswer: -1257.836655411313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-15)\/(-20))\/((-1)\/(-16)). Let k be i\/15 - (-1)\/5. Calculate the remainder when 46 is divided by (25 - k)*2\/(-1 - -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*v - 2*b - 10, -348*v - 5 = -350*v - 3*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) -9 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 2*a + 4*a - 1 - 7*a. Let o(x) = -x**2 - 16*x + 5. Let t(y) = o(y) - 2*p(y). Is 7 a factor of t(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 14. Calculate the common denominator of (0 - 2\/(24\/(-306))) + 6 and h\/(-6) + 11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**3 + 5*n**2 + n + 2. Let l be q(5). Let t = l + 105. Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107580 is divided by 3164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the third derivative of -x**8\/112 + x**7\/140 + x**6\/80 - 4*x**2. Factor a(s).\nAnswer: -3*s**3*(s - 1)*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -61*k**2 + 2689*k - 219. Calculate i(44).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:55 PM and 4:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d\/(d**(-10)*d))\/(d**(2\/71)*d))\/(d\/(d\/(d\/d**(1\/33)))*d*d*d**(-16)) assuming d is positive.\nAnswer: d**(53894\/2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 45 (base 6) to base 14\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-2) - 1\/2. Suppose 2*j = 5*l - 7, 4*l - 4*j + 4 = -p. Suppose -5 = -l*f + 1. Solve -f = c - 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 - 15 = -22*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (3*i**2 + 8*i - 8*i)*((1 - 1 - 1)*(-4*i + 5*i + i) + 1 - i - 1) in the form k*i**3 + w*i + p + j*i**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 16) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1773*a + 1773*a - 3563*a - 1561.\nAnswer: -17*a - 1561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 1 + 0 - 30*s.\nAnswer: -30*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -38322019 take away 0.21?\nAnswer: -38322019.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -14 + -3 + 5 + -1 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -125*o**2 + 168200*o - 56582480 = 0. Calculate o.\nAnswer: 3364\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-36)\/14*((-1580)\/(-40))\/79?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 4)*((4*y + 2*y - 3*y)*(13*y + 65 - 65) - 160*y - 37*y**2 + 160*y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -153596, -307186, -460776, -614366, -767956?\n\"Answer: -153590*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 115 divide 125569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**3 - 122*k**2 - 3410*k - 20086.\nAnswer: 2*(k - 83)*(k + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 114164 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1512 and 48.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -z = -t - 4*t - 20, 0 = -5*z + 5*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 z, and 2 a when four letters picked without replacement from awwwajrzajujjajj.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -3*u - 4. Let n(r) = r - 1. Suppose -a + 2*d - 8 = 4*d, 3*a = -2*d - 4. Let j(s) = a*n(s) + i(s). What is j(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 968561050 to the nearest integer?\nAnswer: 31122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 333630 divided by 3033\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i + 1. Let j be n(-1). Suppose j*p - 12 = 2*p. Let s be ((-4)\/p - -1)*3. Solve -s*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + 1 - 1)*(-2*h + 2 - 2) + (9 + 5*h - 9)*(0*h + h + 3*h) + 28*h**2 - 6*h**2 - 8*h**2 in the form w*h + x + s*h**2 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 24 = 0, 4*n + 81*k - 79*k = 5452. What is the highest common divisor of n and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.7474799 - -0.012.\nAnswer: -4.7354799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 20 - 17. Suppose -6*t + s*t = -162. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mumk when four letters picked without replacement from mkuuuummmmkmmkmm?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/5 + 12354\/30. Suppose c - 5*c + f = 0. Suppose a - 37 = -y, -3*a - 2*a - c = -4*y. What is the least common multiple of 8 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -2*m**3 - 14*m**2 - 2*m - 4. What is w(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from {c: 3, q: 1, d: 11}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -5*g + 22. Let m be f(4). Let v be 0\/(-2)*-1 - -5. Factor i + 2*i**3 + i**3 + v*i**m - i**2 + i**4 - i**2.\nAnswer: i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 + t + 2. Let u be (-1)\/(-3) - 10\/(-6). Let i be s(u). Let c be (-2 - i)*(-3)\/6. Let a(k) = -3*k**3 + k**2 - 1. Calculate a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w. Let i(l) = -2*l**2 - 2*l. Let o(t) = i(t) - 2*p(t). Let z(k) = 8*k**2. Give o(z(g)).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/8*1)\/(15000\/(-12000)*2\/290).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 537 = 2*l, -j + 1041 = 6*l - 2*l. Let g = -107 + l. Suppose 4*s = 2*k - g, -4*k + 102 = 4*s - 182. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -145 - -141. Let j be -4*(3 + 24\/x). Let l be 30\/7 - (-12)\/(-42). Solve 4*y + j = 0, 2*y + 0*y + 18 = l*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -8*(-15)\/21 - -8*(-9)\/(-252). Let t(a) be the second derivative of 14\/3*a**3 + s*a**2 - 28*a + 0 + 2\/3*a**4. Factor t(c).\nAnswer: 4*(c + 3)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*d**2 + d - 6*d**2 + 7*d**2 + 37 + 25 + 21 in the form m*d + c*d**2 + h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gkm when three letters picked without replacement from {m: 1, x: 6, c: 2, w: 1, k: 1, g: 9}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 151026448 + -113722896800\/753. Let m = -10\/251 - d. Calculate the common denominator of m and 94\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + -1\/2. Let h = -6470 - -6590.91. Let s = 121 - h. Which is the nearest to 1\/2? (a) d (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9\/22 + -37\/198. Factor 4\/9*s - t - 2\/9*s**2.\nAnswer: -2*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0038505792 rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 324 - -1142. Let n = -1922 - -1927. Suppose n*z - 467 - m = -3*w, 0 = 3*w + 3*z - 1929. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 + 1 + -9 - (-55 + 56).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 2*t + 44 = -6*t, -4*d + 41 = -t. Calculate the lowest common multiple of d and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18631\/2 + 9316. Which is the second smallest value? (a) 2 (b) h (c) -570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50254 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6716258 is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes after 1:28 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 183404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 25215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**4 - 1174*i**3 - 13931*i**2 + 15106*i.\nAnswer: -i*(i - 1)*(i + 13)*(i + 1162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5093466*q**3*u**3 + 2*q**3 - 3*q**2*u**2 + 257*q*u**2 + 45*u + 6 wrt u.\nAnswer: -30560796*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2)*(-m**2 - m**2 + 4*m**2)*(-4*m**3 + 10*m**3 + 2*m**3).\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 7403 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 - 11*r + 6)*(3*r + 2*r - 4*r) to the form y + q*r**2 + s*r and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2850*p + 5*b = -2853*p + 26, 0 = -3*p + 13*b - 46 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -25?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 + 5*i**2 - 6*i + 2. Let c be t(-6). Suppose -f = c*f - 27. Calculate the greatest common factor of 81 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1049 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 145 - 145. Suppose -2*h + 20 = 3*l - 15, x = 4*l + 2*h - 46. Suppose -3*y = -22 - l. Solve 16*r - 10 = y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 + 8*a**2 + 7*a + 9. Let q = -39 + 67. Let b be 5\/(80\/q)*-4. Calculate r(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -7*o - 6. Suppose -o*g + 42 = -20. Suppose 0 = 5*r - 24 - g. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * -2.632\nAnswer: 0.5264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 596287.\nAnswer: 401, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 6 - 3*q + 2)*(-q + q + 2*q**2).\nAnswer: -6*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + -1. Suppose u*k + 96 = 2*k. Let h = k + 70. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.3 - -0.7. Let l = 0.06 - -3.94. Let j = l - b. Put 1, -0.2, j in increasing order.\nAnswer: -0.2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k**3 + 5*k**2 + 2*k + 1. Let a(i) = -7*i + 59. Let l be a(9). What is z(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -26*k**4 + 31*k**4 + 529*k**2 + 38*k**4 + 591*k**2 + 4*k**4 wrt k.\nAnswer: 1128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8138 and 0.053.\nAnswer: 431.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -82.143 + -994694?\nAnswer: -994776.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the second derivative of k**4\/6 + k**3\/2 + 47*k**2\/2 + 3648*k. Give b(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-105)\/(-63) + 26\/(-24))\/(8\/72).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.337107 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11643542 + 149882942 = 41*z + 33*z. What is z rounded to the nearest ten thousand?\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 8:15 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.7 + 218\nAnswer: 218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the third derivative of w**7\/70 - w**5\/10 + w**3\/2 - w**2. Factor b(c).\nAnswer: 3*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (7 - (-9 - 11))) + 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2.17654 rounded to 2 decimal places?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:19 AM and 8:13 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/((-23)\/(230\/(-80))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29353432.\nAnswer: 2, 37, 131, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do -222\/178447 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 253723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 78584 divided by 4?\nAnswer: 19646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 321, 9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 1) + -4 - 2. Is (i - (-4 - -1)) + 59 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3160 and 22030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -z + 10, -6*z + 5*r + 175 = -z. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -12*p + 18. What are the prime factors of t(-21)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**6 + m**3 + m + 1. Let w(a) = 67*a**6 + 4*a**3 + a**2 + 4*a - 10. Let i(n) = -4*u(n) + w(n). Find the third derivative of i(b) wrt b.\nAnswer: 7560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.21*-0.4\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -6605500 rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1269408 = 48*a - 140160. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 521320046 + -3?\nAnswer: 521320043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3625*w + 165 = -3640*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -158\/83 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1161*t = 1782*t - 31671 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 516 = 4*g, -2*x - 3*g = -127 - 78. Suppose 312 = -76*b + 84*b. Calculate the greatest common divisor of b and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/4)\/((4\/(-10))\/(3016\/(-145)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 - -5. Let q = -0.1 + -0.3. Which is the nearest to -1\/2? (a) q (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(171) - 1*4*sqrt(171))\/sqrt(9))**2.\nAnswer: 30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the second derivative of 0 - 4\/3*q**4 + 0*q**5 + 0*q**2 - 15*q + 0*q**6 - 1\/14*q**7 + 0*q**3. Find the third derivative of y(h) wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 111, 255, 399, 543, 687?\n\"Answer: 144*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3382549 or 3382546?\nAnswer: 3382549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 + 6*f**2)*(-20*f - 15 + 75*f - 52*f).\nAnswer: 18*f**3 - 90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-36)*4)\/(-9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.9 (b) -1 (c) 1\/2 (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 - (-13 - (-7 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 407532487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 25*g + 717. Give q(-27).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*m = -34*m + 231. Let j = 111 - m. Let y be j\/10 - (-14)\/(-175)*5. Sort -4, y, -5.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:58 PM and 12:26 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 587*m - 587*m - 5*z - 15 = 0, -5*z = 5*m + 25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/56 and -75\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 4*q + 25, 0*z - 10 = 2*z - 4*q. Let i be (-146)\/14 + 4\/z. Sort -2, 4, i.\nAnswer: i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 89 - 84. Let g(o) = o**3 + o**2 + o. Let q(t) = 7*t**3 + 8*t**2 + 5*t - 1. Give j*g(d) - q(d).\nAnswer: -2*d**3 - 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 466538 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-40)\/6*((-3928)\/20 - -2). What is the greatest common divisor of 108 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 778, 1546, 2322, 3112, 3922, 4758?\n\"Answer: z**3 - 2*z**2 + 767*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/5 of a milligram in micrograms?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -18*i**3 - 12*i + 12. Let s(m) = m**3 - 86*m**2 + 86*m**2 + m - 1. What is c(o) + 12*s(o)?\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-44) - (-81)\/297. Let w(q) be the second derivative of 1\/60*q**6 - 1\/12*q**4 + i*q**2 - 4*q + 0 + 0*q**3 + 0*q**5. What is n in w(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3745)\/15729)\/((-155)\/34503)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*c - 5 + 5)*(4 - 1 - 1) - 6*c + 4*c - 8*c + (4*c - 5*c + 2*c)*((0 + 0 - 2)*(2 - 5 + 4) + 1 - 1 - 2).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(14\/9)*i*i)\/i*i\/i**(-3\/10))**(-25) assuming i is positive.\nAnswer: i**(-1735\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 575 divide 1349899325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is (4634\/56)\/(2\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.905, -4, -9.6, 2\/7, -3.\nAnswer: -9.6, -4, -3, -0.905, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mlpu when four letters picked without replacement from umlqp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -2\/5, 13, -5.1, -8, 0.3 in decreasing order.\nAnswer: 13, 0.3, -2\/7, -2\/5, -5.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 10 - 10 - 3 + 11*j. Let r be ((-6)\/5)\/((-6)\/15). Does 13 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -4*o + 5. Let q(b) be the second derivative of -11*b**3\/6 + 7*b**2 - 15*b. Let w be (-3)\/(2\/4 - 0). Give w*q(y) + 17*x(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (5 - -4*(-5)\/20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/9 - 80*h**2\/3 + 238*h\/9.\nAnswer: 2*h*(h - 119)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -1 + 3 + 3*p**2 + 1 + 3. Let f(h) = -2*h**2 - 5. Let j(o) = 5*f(o) + 4*y(o). Differentiate j(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 16, 2*r - 4*o + 28 = o. Let w(q) = -4*q + 137. Let z be w(36). Put z, r, 0.4 in descending order.\nAnswer: 0.4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -37.111779 to one decimal place.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 + 7 = -3*g. Let h(c) = c**3 - 3*c**2 + c - 2. Let o be h(2). Let x = o - g. What is the least common multiple of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 171242.\nAnswer: 2, 85621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-161)\/(-7) + -7 + 2 + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 20591, 0.00235, 1?\nAnswer: 20591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p + 4. Let s be t(-5). Let u be s\/(-3) + (-28)\/12. Let l = 20.99 - 21. Put u, l, 0.2 in decreasing order.\nAnswer: 0.2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 264 = 10*x - 4*x. Suppose -4*b = -x - 0. Let y(h) = 5*h - 50. Let i be y(b). What is the highest common divisor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*m**5 - 6340*m**4 - 56856*m**3 + 313744*m**2 - 362464*m + 29184 = 0.\nAnswer: -57, -16, 2\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 47, 91, 135, 179, 223?\n\"Answer: 44*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109 + 2139*v - 95 - 2126*v.\nAnswer: 13*v - 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 1.41, 2\/23, -2, 3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-17)\/(459\/36)*(-9)\/2. Let h be (-30000 - -3) + 9\/(g - 9). What is h rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 + 6.4. Let d = x - 0.4. Let w = d - -0.1. What is the second smallest value in -4\/9, -0.5, w?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 + o + 1. Let j(h) = -8*h**2 - 2*h - 2. Determine 2*g(y) + j(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 558 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*1\/2*-4. Let k(c) = 6*c - 28. Let q be k(5). Suppose q*g + a - 2*a = 5, 0 = -m*g - a + 11. Solve -g*y + 0*y = -2*l, 2*y = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 20*y - 16. Suppose -12 = q + 7. Let f be z(q). Solve -5*n + 21 = t, -f*n - 2*n + 5*t = -45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hu when two letters picked without replacement from huu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -698880 divided by 3?\nAnswer: -232960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(170)*3 - sqrt(170))*-3)\/(sqrt(100)\/(sqrt(30)\/(sqrt(18)\/sqrt(6)) + sqrt(10))) + 5.\nAnswer: -12*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 PM and 1:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15163618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*h - 2*h + 4. Let l be ((-4)\/(-8))\/(1*(-1)\/h). Which is smaller: -4\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 486*z - 433. Is 92 a factor of p(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 5 = 2*o - 5, -3*o = -k - 14. Let x = -14 - -14.1. What is the second smallest value in x, -2, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*m, -2*o + o + 3*m - 156 = 0. Let n = o - -131. Is (42\/(-35))\/(-2) + (-694)\/n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 7*s + 168. What is the common denominator of (-219)\/s - (-12)\/(-4) and -47\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z - 3*p + 531, 0 = -5*z - p + 1121 - 449. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*p**2 + 76*p - 71*p - 3*p**2)*(-3*p - p**2 + 3*p).\nAnswer: -2*p**4 - 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.338 - -55.638. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 111093406?\nAnswer: 2, 53, 1048051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -210 = -s - 48. Suppose 0 = 4*m - m - s. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 - -5. Find the common denominator of (f\/12)\/(4\/40) and (-135)\/6 + 2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.09 + -10.91. Put 5, m, 1\/9 in descending order.\nAnswer: 5, 1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18944315?\nAnswer: 5, 13, 379, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -7*h - 23. Let v(d) = -8*d - 22. Let k be ((-108)\/72)\/(34\/(-8) - -4). What is k*v(m) - 7*q(m)?\nAnswer: m + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 692 = -22. Let c = i + -94. Suppose -4*d - 4*q + 32 = 0, 0 = d + 4*d - 5*q - c. Solve -o - 2 = -2*z - 1, 4*z = -d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -633*q**4 + 14*q?\nAnswer: -7596*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 675.6 - 676. Which is the second biggest value? (a) -0.2 (b) -1\/2 (c) p (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -1408*t**3 + t**2 + t + 1. Let j(f) = 7*f - 26. Let g be j(4). Suppose -3*h - 1 = -g*h. Is d(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -9*u + 314. Calculate the remainder when z(19) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 520.5 + -521.134. Put -4\/7, -5, 5, h, 3\/2 in ascending order.\nAnswer: -5, h, -4\/7, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (378\/68 + -6)*(-154)\/27. Let i = f - 11\/153. Suppose -i*t + 8\/3*t**2 + 4\/9 + 2*t**3 = 0. Calculate t.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*3*(-2*sqrt(143))\/sqrt(11))**2*4.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1251904664 to the power of 1\/2, to the nearest integer?\nAnswer: 35382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2042365 + -641?\nAnswer: -2043336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 162*w**4\/5 - 77832*w**3\/5 + 9365768*w**2\/5 - 830208*w + 92160 = 0 for w.\nAnswer: 2\/9, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:02 AM and 11:02 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22, 39, -24, -209, -558?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*a - 21471 + 597 = 0. Calculate the lowest common multiple of 126 and a.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 233 is divided by 227.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/954 and 81\/296.\nAnswer: 141192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 7) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 629 = 4*d, 3*r - 7*r + 503 = 3*d. Let o = d - -178. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 53 = 21. Let l = q + -26. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -203 - 2*h**2 + 203.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -6*m**2 + 3*m**2 - 33*m**2 + (-2*m - 2*m + 5*m)*(-m + 0*m + 0*m) as g + p*m**2 + o*m and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-1 - -3) + -21 - (-10 - -24).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 625 - 446. What is the remainder when m is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 73524 - 51702. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 7*z - 31. Let u be c(4). What are the prime factors of ((-109 - u) + 5)*-2?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 323 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*p + 6*p - 24*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 5*b + 5. Let r(v) = -9*v - 9. Suppose 5*o - 21 = -3*c, 0 = 2*o + 3*o - 5*c - 5. Suppose -k = -3 - 2. Give k*m(x) + o*r(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from obedobepebbbpppbxdeo. What is prob of picking 1 e and 1 o?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (876\/(-60) + (-182)\/(-13))\/(6\/25)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -5, 4, 3, -1, 0 in increasing order.\nAnswer: -6, -5, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -53.1269 * -0.0396\nAnswer: 2.10382524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*d**4 + 6712\/5*d**3 + 1\/5*d**5 + 24336\/5*d + 0 - 4992*d**2.\nAnswer: d*(d - 78)**2*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 3*b = -6*b, 0 = -2*l + 2*b. Suppose 0 = -l*o - 2*o + 2. What are the prime factors of ((-2)\/4)\/(o\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0278522 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4 and 3299975107.639.\nAnswer: 3299975108.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -70\/33 and 67\/12990.\nAnswer: 142890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*y - 4*y. Suppose -q + 4*c + 4 = -y, -14 = -q - c. Solve -5*v - 2*o = 8, 2*o - 4*o = -5*v - q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pdddppp. Give prob of sequence pppd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 64471 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-eight fifths of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2905770298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 32*d - 13*d)*(71*d**2 - 1881 + 1881).\nAnswer: 1349*d**3 - 142*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*j + 2240 = -3*j. Suppose -148*u + 584 = -j*u. Calculate the remainder when u is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 4 = -4*k, 6*i + 4 = 8*i + 5*k. Let n(o) = 3*o**2 - 2*o - 2. Calculate the least common multiple of n(i) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/80574858 and 115\/2394.\nAnswer: 80574858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 171096426 is divided by 42774103?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -8238*a. Let h(y) = -203*y + 3. Let o(i) = 1082*i - 16. Let s(k) = 16*h(k) + 3*o(k). Give s(d(c)).\nAnswer: 16476*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, o: 3}. What is prob of sequence okko?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be (128\/24 - 4)\/((-2)\/(-12)). Let d be (-37)\/(-3) + (-1)\/3. What is the highest common factor of c and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124 + -19 + 0 + -21 - (1 + (13 - 0))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2\/12 + 1\/(-18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zqrca. What is prob of sequence qzcr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 10144410 (base 5) to base 9.\nAnswer: 137637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3045 divided by -21.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 90599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(42)\/sqrt(2) - sqrt(147)\/(sqrt(35)\/sqrt(5)))\/((sqrt(756) + sqrt(756) + sqrt(756) + 5*sqrt(756) - sqrt(756))\/sqrt(7)))**2.\nAnswer: 25\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-83)\/830*8\/(-1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**3 + 3*z**2 - 6*z + 2. Let m be t(0). Put -2, m, -3, 6 in descending order.\nAnswer: 6, m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (11 - -4)*(28\/3)\/(-14). Let y(v) = -v**2 - 12*v - 11. What is y(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -49032500 divided by -12258125.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75517.\nAnswer: 13, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 220 + 5*f**3 + 117 - 154 to the form w*f**3 + i + n*f + k*f**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 1702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/6))**(-1)\/(j*j*j**(-4)*j)**(-24) assuming j is positive.\nAnswer: j**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(13) + sqrt(832) + sqrt(13))**2 - sqrt(13))*-3 + -4 + sqrt(52) + sqrt(468)\/sqrt(9).\nAnswer: -3931 - 173*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002245259 rounded to seven dps?\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -79 - -84. Suppose -q*i + 469 = 169. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 34692415*w**6 + 42407389*w**2 wrt w?\nAnswer: 4163089800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from {i: 7, j: 10, t: 1}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*o = 19*o + 224. What is the remainder when o is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 - -15. Let l be (2\/(-2) + -1)*12\/(-8). Let z(u) = -6*u - l - 3*u + f*u + 8*u. Calculate z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - 10) + (-34 - -36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -254471, -508941, -763411?\nAnswer: -1017881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14.011 + -0.089. Let k = y + 13.7. Which is the nearest to 2\/5? (a) -1\/7 (b) k (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40*t**2 + 20*t**2 + 43*t**2 to the form k*t**2 + l + m*t and give k.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.001 (b) -0.3 (c) 20 (d) -2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 2*u - 5*u + 2*u - 2*u. Let p(f) = 4*f. Let j(q) = 2*p(q) + 3*v(q). Let w(r) = -2*r**2. What is j(w(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -16, -1, 0.093767 in descending order.\nAnswer: 0.093767, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 + 22 = -o. What is the common denominator of (-1)\/(o\/(-59)) - -1 and -53\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.34 + 3.54. Let r = p - -0.8. Which is the nearest to -1? (a) 2\/11 (b) r (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9268390 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1420.081 + -1421. Let j = -0.081 + o. Which is the closest to -1\/2? (a) -0.1 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -263, 361, 0, 0.3, -3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - 1994?\nAnswer: -198a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 129\/700 and 131\/24?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 1515 (base 6) to base 11.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5\/((-10)\/4) - 245\/7. Let g = -33 - z. Solve -5*b - 3*q = -7, b + 19 = g*q + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ookakekakao. What is prob of sequence oak?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/((((x\/((x\/(x\/(x*(x*x*x*x**(1\/31)*x)\/x)))\/x))\/x)\/x)\/x))\/x*x*x*x*x**(-22\/7)*x*x assuming x is positive.\nAnswer: x**(1712\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + p. Suppose 5 = -a, 5*a - 1080 = -5*g - p*a. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*w**2\/4 + 79131*w\/2 - 2087238387\/4 = 0. Calculate w.\nAnswer: 26377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rh when two letters picked without replacement from {r: 3, m: 1, h: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 52 - 37. Let o = -22 + f. Let s = o - -6.9999994. Round s to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 450244782?\nAnswer: 2, 3, 13, 61, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 145 - 83. Suppose -4*a = -3*o - 50, 3*a - q = -2*a + 4*o. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8892*d - 56760 = 8247*d for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4750*t + 3465*t + 4484*t - 18744*t - 8887 wrt t.\nAnswer: -6045","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 4, q: 2, p: 4}. Give prob of sequence mqmq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 5 + 41*o**2 - 43*o**2.\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is (-42)\/63 - 308\/(-3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 146477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*y + 63 = 20*y. Let n = 1 + -1. Solve w - 3 + y = n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 - -15. Find the third derivative of 4*m**2 - x*m**2 - 3*m**2 - m**4 - 3*m**4 wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 380383450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 - -8. Let l(x) = 12*x**3 - 12*x**2 + x - 1. Let u(y) = -y**3 + y**2. Let h(s) = -2*l(s) - 22*u(s). Calculate the common denominator of 83\/4 and h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 516343451720*t + 3*t**2 - 516343451720*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 20 = -0*u. Let z = u - 0. Suppose -7*o - 12 = -z*o. Which is the third biggest value? (a) o (b) 0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 9) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2 + 9*k + 32. Suppose 0 = 34*h + 47*h - 79*h + 10. Give c(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -61 - (-14 - (-2 - (14 - 5)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -204 (base 9) in base 14?\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*u = 24*u - 132. Solve 10*g - 20 = -u*x + 12*g, 0 = -5*x - 2*g + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**2. Let w(i) = 8*i**2 + 4*i + 1. Let g(b) = -n(b) + w(b). Let f = -4 + 0. Is g(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*u = -2*u + 110. Solve 3*j = 3, -k + j = -u*k + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18458 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/(-56) + 118\/(-14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27\/67 - -13\/134. Let r be 2745\/(-35) + (0 - 2). Let m = r + 80. Which is the nearest to 1? (a) m (b) 7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**2 + 5*x - 21. Let g be z(-6). Let y be 7\/1 + 3 + 8 + g. Solve y*u = i + 17, -2*i = i - 2*u + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 3*j + 156, -5*x + 77 = -j + 11. What is the units digit of 611\/2 - j\/34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 770178205?\nAnswer: 5, 19, 8107139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 41 times -23000.9?\nAnswer: -943036.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8395*f**2 + 6130*f**2 - 14514*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -878010.31 or 1\/4?\nAnswer: -878010.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4868*h**3 + h**2 + 2*h + 23988.\nAnswer: 29208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1292 - -3910\/3. Find the common denominator of y and -47\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6270*z + 6273*z = 33 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -63 + 76d5?\nAnswer: 7672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(-3)*45\/6. Suppose -2*i = -4*l + 6 - 0, 0 = -2*i - l + 9. Suppose i*c + 4*z - 15 = -2*c, -t*c + 5*z = -15. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7470023364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13 - -15. Find the second derivative of -v**3 + 521 - 521 + w*v wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -484*q - 2*q**2 + 126*q - 3*q**2.\nAnswer: -5*q**2 - 358*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 4 = -k, -k - 4 = 8*o - 3*o. Let v(u) be the first derivative of -4*u - 1\/3*u**3 + o*u**2 - 1. What is the first derivative of v(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:00 AM and 11:56 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**31\/((t*(t**15*t)\/t*t)\/t))\/((t**19\/t)\/t)**(8\/7) assuming t is positive.\nAnswer: t**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*d + 2*r - 107, 2*d + 41 = -109*r + 106*r for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 + 3*t**2 - t. Let g be w(2). Differentiate -2 - x + 0*x + x + x**g with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -661 - -1013. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21242664167 + 211.2?\nAnswer: 21242664378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -515\/6 + 86. Suppose 5*x = 3*q - 10, -x = 4*x - 4*q + 15. Let v be (-15)\/(-12) - (x - 0). Which is the nearest to 1? (a) d (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 459337442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 4*z - 8. Let b(g) = -g**3 + g**2 + 13*g - 25. Give -2*b(j) + 7*r(j).\nAnswer: 2*j**3 - 2*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 100 (base 2) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -58 - -57.8. Let k be (5\/(-12))\/((-1)\/2). Let i = -7\/6 + k. Which is the second smallest value? (a) 1\/12 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**4 - 2*i**2 - 2*i. Let w(m) = 20*m**4 + 204*m**3 - 152*m**2 - 48*m. Let d(o) = -8*k(o) - w(o). Find n such that d(n) = 0.\nAnswer: -8, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 5*v - 2. Calculate the smallest common multiple of 8 + 4\/8*-8 and p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w - 6. Give p(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -34505, -69015, -103525, -138035?\n\"Answer: -34510*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of t**5\/5 + 3*t**4\/4 - 2*t**2 - 5. Let u(z) = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 131137495?\nAnswer: 5, 61, 89, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 83 + 29. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 25*o**5 - 13417*o**3 + 3*o - 245629 wrt o.\nAnswer: 500*o**3 - 80502*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -3*n**4 - 17 + 2*n**4 - n**3 + 1 + 4 + 12*n**2 as v*n + m*n**2 + a + u*n**4 + j*n**3 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 + 115743719345.\nAnswer: 115743719345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11168\/(-18846) - 2\/27.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 3\/2, -3, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-6)\/15)\/((-4)\/(-20)). Let t be (-43 + 2)\/((-2 - -3) + i). Let d = 46 - t. Solve -2*k = -d + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((1 + 1*(-5 + 1*sqrt(320)))*4 + -4))**2.\nAnswer: -5120*sqrt(5) + 22080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 341472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 25198 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-360)\/2)\/9 + -5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7808.72328 + -7838.72328046. Let f = -29.941 - 0.059. Let b = f - l. What is b rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y = 7*y + 351. Suppose -1770 = -2*n - 3*n. Let p = y + n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.069 - 8.931. Let a(v) = v - 6. Let s be a(7). Are s and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 0.1, -5, 0.14, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -2*h - 2. Let c be o(7). Let s = -55 - 51. Calculate the common denominator of (s\/(-12))\/(c\/6) and -7\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -2.6 (b) -1\/9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 - 5*f + 6. Suppose 2*i = -3*g - 1, -26 = i - 6*i + 2*g. Let y be r(i). Suppose y*m - 148 = -2*m. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*a**2 - 632 + 632 - 32*a**2 + 78*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 371162*i**3 + 371165*i**3 - 742322*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 101 - 101. Suppose -3*q + 2*d + 10 = c, -q - 3*q + 4*d = -16. Solve i + 3*s - 7 = 2*i, -q = -2*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -24*z**2 + 9*z - 8. Determine b(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of 47*a**5\/20 - 19*a**3\/6 - 3*a - 31. Let o(v) be the first derivative of h(v). Find the second derivative of o(y) wrt y.\nAnswer: 282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9.2 - 4.2. Let a = -0.1 - 0.4. What is the nearest to -0.1 in q, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59930948*n + 59930948*n + 69*n**2.\nAnswer: 69*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-34 - -4 - (117 + -68)) + (2 - (1 - 12))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9 divided by -71?\nAnswer: -9\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m*(m*m\/m**(-2\/11))\/m)*m*m**2*m)\/(((m\/m**(3\/7)*m*m*m)\/m)\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(-39\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(121) - -2*sqrt(121)) + sqrt(121))\/(sqrt(176)*2).\nAnswer: -11*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**3 - 3*a**2 + 2*a - 3. Let t be u(-4). Suppose 0 = 3*k - 2 - 13. Let r = t + k. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 + 9*p**2 - 5*p - 25. Let r be b(8). What is the nearest to r in 0.5, 20, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 3.6 and 29610816.\nAnswer: 29610819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25 + -13. Suppose 2*g = -5*m + d, 4 - 1 = 3*m - 3*g. Let j(o) = 0*o**m - 5*o - 3*o**2 + 2*o**2 + o + 7. Give j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.854 + 0.494. Let v = -2 + 2.16. Let o = y + v. Which is the nearest to 0.1? (a) -4\/7 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + 345 = -68. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the second derivative of -i**7\/7 + 7*i**3\/6 + 6*i. Find the second derivative of w(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -578832 by -372.\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-25)\/60*10\/23 and -5 - (11\/(-8) - (-6 + 5)).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 113084*v + 339291. Calculate i(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 59771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + 4*l**2 + 11*l + 34. Let c(m) = 6*m**3 - 19*m**2 - 56*m - 171. Let k(x) = 2*c(x) + 11*r(x). Let d be k(-5). Solve 0 = -2*z + 6*z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*l*m**2 - 11*l - 139*m**4 + 10 wrt m.\nAnswer: 4*l*m - 556*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 57571*h**2 + 87*h - 201. Is b(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -2*w**3 + w**2 + 4*w + 3. Suppose 3*q - 8 = 7*q. What is the remainder when 44 is divided by r(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -2 + -1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 324 a factor of 1392176808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0.15, -0.0089, -5 in descending order.\nAnswer: 0.15, -0.0089, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by -104\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13 - -19. Let r(t) be the third derivative of t**6\/120 - t**3\/6 + t**2. Let h(c) = -4*c**3 - c**2 + 3. What is j*r(z) + 2*h(z)?\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -14, 649, 1\/3, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1228 - -1851. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -204*l + 63 + 549 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3.7 + -1.7. Let i = 5 + w. Let d = -68 + 339\/5. What is the third biggest value in d, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -302 + 297. Let d = 0.3 - -0.2. What is the nearest to 0.1 in d, 5, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - 3 - (1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -113 (base 6) in base 12?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -2*s**2 - 75*s + 207. Determine u(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 3*t - 6*t + 8846, 0 = 3*t + 15. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 4*p**5 - 116*p**4 + 724*p**3 - 1116*p**2 + 504*p = 0.\nAnswer: 0, 1, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q*q**(-2))\/(q\/(q\/(q\/q**(-1)))))**(3\/2)\/((q**0)**(-13)\/(q\/(q\/(q*q**(-4)*q))*q*q**(-1\/7))) assuming q is positive.\nAnswer: q**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52833473 divided by -4803043.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wrrewwrrwww. Give prob of picking 1 r, 2 w, and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1\/46, 0.1 in decreasing order.\nAnswer: 0.1, -1\/46, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -12, 2\/9, 0.485, -28, 1?\nAnswer: 0.485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(48) - (-4 + sqrt(96)\/sqrt(2)) - (sqrt(48) - -1*(sqrt(48) - sqrt(192)\/sqrt(4) - sqrt(48))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w\/(w*w**(-5\/4)))\/w)\/w)\/(w\/(w*w**(1\/5)*w*w))*w**(-7)\/(w**(-1)\/w))\/((w**9*w*((w\/(w**(-4)\/w*w))\/w)\/w)\/((w*w\/w**(-2\/9))\/w)**41) assuming w is positive.\nAnswer: w**(6041\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s - 2605. Let c(m) = -m + 2603. Calculate 12*c(n) + 11*z(n).\nAnswer: -n + 2581","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 3 = 1. Let s = 32650 - 32647. Solve -w - b*w = s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the first derivative of -3*z**4\/7 + 8*z**3\/21 + 50*z**2\/7 - 96*z\/7 - 457. Let d(w) = 0. What is w?\nAnswer: -3, 1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -102.4856 to 0 decimal places.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of -c**3\/3 + 171*c - 1. Let s(q) = -2*q - 1018. Calculate s(v(l)).\nAnswer: 4*l - 1018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 5:29 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1*3*5)\/(29\/5307).\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -6. Let g be 0 + h + 4 + -1. Let m be (-2)\/4 - (-10)\/g. Put m, -0.5, 0 in descending order.\nAnswer: m, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-24)*b*b\/((b**(-7)*b)\/b))\/((b*b**(2\/21)*b)\/b**(-12)) assuming b is positive.\nAnswer: b**(418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, a: 6, g: 3, m: 3, y: 2}. What is prob of picking 1 m, 2 k, and 1 g?\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**3 + p**2 - 1. Let f(w) be the second derivative of -w**5\/10 - w**4\/4 - w**3\/3 + 3*w**2\/2 + 33*w. Calculate -3*c(v) - f(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -2*n + 629. Let z(c) = -74*c + 223. What is g(z(u))?\nAnswer: 148*u + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 861408 divided by 3.\nAnswer: 287136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m**2 + m. Let k be l(1). Let g(i) = 0*i**2 - i**2 + 3*i**2 - i**k + 2*i. Determine g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -6*m**2 + m. Let l(v) = -5*v**2. Let w(y) = -5*g(y) + 4*l(y). Let n be w(2). Let s = n + -12. Calculate the lowest common multiple of s and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1072 divided by 59831?\nAnswer: 16\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162) + 0)**2*2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*f**2\/5 - 22456*f\/5 + 97152\/5 = 0. What is f?\nAnswer: 48\/11, 506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 535\/2 - 266. Factor 3*m**2 + k - 15\/4*m - 3\/4*m**3.\nAnswer: -3*(m - 2)*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 + 2*z**3)*(-1 + 3 - 1)*(0 - 3 + 5).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0033773 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 218353.55337 less than 0.09?\nAnswer: -218353.46337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = z + 2*z. Suppose 5*o = 3*p + 105, 4*o + 11 = z*p + 98. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2329 (base 15) in base 4?\nAnswer: 1310220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1699 is divided by (296\/(-6))\/((-22)\/6 + 3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of -24*a**3 - 153*a**2\/2 - 4*a - 51. Differentiate t(q) wrt q.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - y = -6. Let d be 5\/((-30)\/(-14) - y). Suppose 5*w - 3*v - d = -2*v, 7 = w - 4*v. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/95 or 26?\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -160 and 198.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -31, -36, -41, -46, -51, -56?\n\"Answer: -5*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes after 10:02 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-2\/3)*((u\/u**(-5))\/u)\/u*u**(-5\/3)*u*u**(-4)*u*u assuming u is positive.\nAnswer: u**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1843485*t**2 + 3277919 wrt t.\nAnswer: 3686970*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (20 - (143 + -280)) + -29\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + -287?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4765 is divided by 366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 1040 = 158. Suppose -402 - n = -9*m. Calculate the remainder when m is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nqqq when four letters picked without replacement from {q: 4, n: 10, k: 6}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 77682557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 2*x + 3 = 0. Let b(g) = -9*g. Let l be b(x). Solve 0 = -3*d - 6 - l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -4*d - 14. Give a(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -709183 divided by -15089.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 + (27 - 14) + -1 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 385 + -387. What is the nearest to -0.2 in 8, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 1 - 4)*(0*s**2 - 3*s**2 - 4*s**2) - 6*s**2 - 2*s**2 - s**2.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14411 - -14413. Which is the nearest to -17? (a) h (b) 1 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v + 4 - 4)*(-201 - 646 + 842 - 2141 - 3267).\nAnswer: 5413*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*f - 7*f - 2*q + 38, 0 = -5*f + 5*q - 70. Let t be 84\/(-42)*f\/4. Solve 2*b + t*c - 2 = 6, 0 = b + 5*c - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j**5 + 635*j**4 + 6015*j**3 + 19505*j**2 + 23480*j + 9360 = 0 for j.\nAnswer: -117, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 7411*h**2 - 608*h + 17. Is n(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.12551, -0.1, 6 in descending order.\nAnswer: 6, 0.12551, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*v = 74 - 60 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2465226 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 2108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -2*n**2 + n - 9. Let x(v) = -v**2 + v - 9. Calculate -3*a(z) + 4*x(z).\nAnswer: 2*z**2 + z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/10)\/((-78)\/(-20) + -4). Let c be k + 4\/8*3738. Let t = c + -1324. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 2 z, and 1 n when four letters picked without replacement from ycnczzc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 4:35 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 310 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44083955 is divided by 2140?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the second derivative of -k**6\/240 + k**5\/60 + k**4\/48 - k**3\/6 + 62*k**2 - 116*k + 2. Let t(d) be the first derivative of l(d). Factor t(f).\nAnswer: -(f - 2)*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 558907606.\nAnswer: 2, 17, 16438459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.290414*0.002\nAnswer: 0.000580828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 2*i + 120 = 0. Let v = -312 - -420. Let u = i + v. Calculate the greatest common factor of 34 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -83 - -88. What is the second smallest value in 0.5, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 40 = -3*z, z + 31 = 5*c + 2*z. What is the highest common factor of 35 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 3:46 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-29 - ((0 - 0) + -31 + 25)) + 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10043\/(-77) - 4\/7. Let n = x + 92. Does 8 divide (n\/5)\/((-6)\/30) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -194*m**2 - 2*m - 511 + 198*m**2 + 511 - 2*m**3 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**2 - 63*l + 64. Determine p(57).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -34365 by -155.\nAnswer: 6873\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-6*(-4 + -5*(-2*sqrt(2736) + -2 + -2)))**2.\nAnswer: 4976640*sqrt(19) + 354917376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1353.61584us in days?\nAnswer: 0.00000001566685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 437150507*y**3 + 7454153*y.\nAnswer: 2622903042*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 + 1184\/111)\/((-2)\/(-78))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 299 = c - s, 3*c + 4*s = 248. Suppose c = 4*m + 16. Calculate the greatest common factor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 17 by -35338204.\nAnswer: -17\/35338204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 55463 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/1553458 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9.695714ml in litres?\nAnswer: 0.009695714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -26*f**2. Let g(o) = -85*o**2. Give g(d(p)).\nAnswer: -57460*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3900\/8 - 3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 378 = -2*t - 112, -3*q + 3*t - 705 = 0. Let l = 344 + q. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 43296, 86584, 129868, 173148?\nAnswer: 216424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-3 + 1 - (-1 - -1)) + (-574 - -573)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify j\/j**(-1\/23)*j**(-4\/3)*j*j assuming j is positive.\nAnswer: j**(118\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + 0. Suppose -3*g = -o - 4*g, -4*o + 4*g = -24. Let c(v) = 22*v**o - 1 + 1258*v - 1258*v - 7*v**3. What is c(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 13\/4945 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 88415993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*1*sqrt(7) + -1*sqrt(567).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 + 4*k**2 - 1. Let x be y(4). Let q be 4\/18 - (-48)\/27. Let s = x + q. Solve 3*v = s + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tfto when four letters picked without replacement from {f: 3, o: 1, q: 4, x: 4, v: 1, t: 4}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 288, -1, -3 in ascending order.\nAnswer: -3, -1, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - x + 0*x = 1318, -1982 = 3*d - x. Let q = 1447 + d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 251\/5420 + 1\/271. Let v(b) be the first derivative of -1\/10*b**2 - 2 - 2\/15*b**3 - f*b**4 + 0*b. Factor v(u).\nAnswer: -u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-1) + -2 + (74 - 75). Let n(c) = -132*c**3 - 2*c**2 - 4*c - 6. What are the prime factors of n(g)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(((-31)\/620)\/((10\/(-4))\/5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9131287 is divided by 9492?\nAnswer: 9475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, 1, 4\/3, -17.\nAnswer: -17, 2\/9, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:10 AM and 2:20 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + (-124 - (-140 - -75))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 + 4*x**2 + 5. Let s be i(4). Solve -2*u - 20 = 2*k + 2*k, -s*u - 20 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -2*w**2 + 226*w - 4007. Give z(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7*j**4 - 1537*j**3 + j - 123636?\nAnswer: 28*j**3 - 4611*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q**3 + 6*q**2 + 76*q - 141. Let s be w(7). Let n = -1\/1196 - 2205\/223652. Is s less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*k**3 + 0*k**2 + 4*k**2 - 4*k**2.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 1 (b) 2 (c) -4 (d) -3\/2 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2*r = -15, 5*s + r - 3*r + 21 = 0. Let p be (-26)\/(-6) - 2\/s. Suppose j - p = 6. Calculate the remainder when 32 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33720 and 560?\nAnswer: 472080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 25615299631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114580 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 + 2*h**2 + h + 5. Calculate q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 289 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 2)*(-93*s + 51*s - 35*s - 69*s).\nAnswer: -438*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by 33\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/2560846 and -19\/2768382.\nAnswer: 1912951962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of f**6\/24 + f**5\/20 - f**4\/8 + 533. Find r, given that c(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from huujjjjhhjujuhjjhu. What is prob of picking 2 u?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - -6 - (-3 - (-1 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 = 3*q + 3*v, 86*q + 144 = 83*q + 5*v. Which is smaller: -484\/9 or q?\nAnswer: -484\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 8, -3*m - 5*x + 4*x + 29 = 0. Find the second derivative of m*k**3 - 17 + 9 + 16*k + 8 wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18\/47 - 566\/987. What is the closest to -1 in d, 5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -1. Let i = -39163\/13 + 3013. Are i and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 1, v: 1, g: 1, z: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 18647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(130) + sqrt(130))\/sqrt(5))\/(sqrt(8)\/(sqrt(4)*2)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 281778 and 1176?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6822314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 250 is divided by 69?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -100*l. Let i(x) = -18*x**2. Determine i(h(f)).\nAnswer: -180000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 70676*o - 70734*o + 406 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1882 - -835. Let m = -4097\/4 - d. Calculate the common denominator of -71\/3 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -42 - -46. What is the remainder when 31 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5548, -13991, -25334, -39577, -56720, -76763?\n\"Answer: -1450*o**2 - 4093*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of 3\/5*b**5 - 9*b**4 + 126*b**2 + 147*b + 22*b**3 - 6. Factor j(p).\nAnswer: 3*(p - 7)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-475)\/(-5) + 2 + (0 - -1). Suppose 91*n - g*n = -1379. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 103251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - -76 - ((1 - -30) + 3644 + -3682)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3 and 288417012.\nAnswer: 288417012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 + 5. Let c(r) = 3. Let g(t) = -3*b(t) + 5*c(t). Suppose -7 = -4*o + 1. Let s(w) = 3*w**2 + 0*w**2 - 4*w**o. Determine g(s(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(208) + sqrt(208)*3 + -1 + (sqrt(208) - sqrt(208)*3)*5 + 4)**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 138 - 92. Let i be d\/3*(-495)\/(-22). Suppose 0 = -33*o + 28*o + i. Is 3 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 -68 + 69 - (0 + -9844).\nAnswer: 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 9 + 23 = 0. Let w = i + -2. Solve w = -6*q + 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/18 and -151\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (-72 - -30) - 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2042 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -949, -7557, -25531, -60571, -118377, -204649, -325087, -485391?\nAnswer: -691261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 - 7*k**2 + 3*k + 5. Let x be r(6). Let i = -39 - x. Let u = -16 - i. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8815.636 hours to milliseconds.\nAnswer: 31736289600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -481 (b) 2\/3 (c) 22\/15 (d) -5 (e) -1\/4 (f) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 - 11 + 5*g**2)*(-g - 2 + 2) - 3*g**2 - 3*g**3 + 3*g**2 + (3*g + 2*g - 3*g)*(3*g**2 - 2*g**2 - 2*g**2).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30869\/61 - -506. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1463746992 to the nearest integer?\nAnswer: 38259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 267 divide 67191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 166 - (0 - -98 - 36 - 19)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 + 1327c61?\nAnswer: 1327c63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 8:29 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2885 - -2908.67. Let j = 0.33 + x. Let b = j - 14. Sort b, 1\/5, -2\/15.\nAnswer: -2\/15, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 343*h**4 - 332*h**4 - 147*h**4 + (2*h**2 - 2*h**2 + 2*h**2)*(3*h**2 - 2*h**2 + 2*h**2).\nAnswer: -130*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204) - (sqrt(204) + sqrt(204)*-2*5))\/(sqrt(12) - (sqrt(1200) + sqrt(1200)*3)) + -2.\nAnswer: -2 - 10*sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 852 is divided by 173.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 + 5 - 7)*(-c - 3*c + 6*c)*(-1655 + 1655 + 20*c**2) - 3*c**3 - 3*c**3 + 5*c**3.\nAnswer: 319*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 10*a**2 - 6*a**2 - 16 - a**3 - 4*a + 2*a**3. Let p be i(-3). Solve -5*c - 16 = 2*s + 8, 3*c + 22 = -p*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 614041201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 125 = -3*a. Suppose 0 = 3*k + 2*k - a. Suppose -k*b + 2*b = -48. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -38\/485 - 18079\/10670. Calculate the common denominator of (-15)\/(-9)*(-51)\/6 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + b + 9 = 4*j, -b + 51 = 5*j. Calculate the least common multiple of 12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 222066 and 96993?\nAnswer: 184092714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -44 + 278 - 476*c + 273 - 24 wrt c.\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iec when three letters picked without replacement from {k: 1, h: 3, z: 2, c: 1, i: 2, e: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 672326 (base 8) to base 6\nAnswer: 4504410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -251 + 255. Suppose f - 3*j = j + 23, t = -2*j. Solve 5*s = -15, 3*a - 5*s - f = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 0*v + 5*b - 2, -2*v + 4*b = -8. Determine r so that 3*r**4 + 23*r**3 + 2*r**2 - 63*r**3 + 16*r**3 + 11*r**3 + v*r = 0.\nAnswer: -2\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*b + 49 - 18, -x = b - 11. Suppose -10*f + b + 52 = 0. Is (542\/f)\/(4\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 686739059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -33313 (base 4) to base 7.\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-483 - -680) + -52 + -31?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.8, 1\/10, -0.4, 11.\nAnswer: -4, -0.8, -0.4, 1\/10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 63 - 62.73. Let y = -1.73 - d. What is the third biggest value in y, -1, 18?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 8, -2\/9, 35309?\nAnswer: 35309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4 + -9 + 0 + -1. Sort t, 5, -5, -4.\nAnswer: t, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**17)**(-3\/28)*d*(d\/((((d*d**(7\/3)*d)\/d)\/d)\/d))\/d*d*d**10)**49 assuming d is positive.\nAnswer: d**(2569\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -13*l - 6 + 10*l + 6. Let w(n) = 14*n**2. Give v(w(j)).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -129 times -1131453?\nAnswer: 145957437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-8)\/(v*v**(11\/2)))\/(v**(-9)*v**4*v) assuming v is positive.\nAnswer: v**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = -4*l. Suppose 3*o - 7 = t, -3*o + 2*o + 1 = l. Let v be 15\/25 - 24\/15. Sort -5, t, v in ascending order.\nAnswer: -5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 - 3. Let r = z + -4.3. Let m be ((-6)\/2 - -9)*((-4191)\/(-264) + -16). Which is the closest to -2? (a) 2\/23 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (w + 2*w + 14*w)*(8*w - 368 + 7*w - 16*w) in the form v*w + j*w**2 + r and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -2131 (base 6) to base 11.\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3570251 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/14*1071\/(-54))\/((-48)\/8)*12.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -4*k + 43, -8*k + 6*k + 14 = 4*u. Suppose -a + 26 = 4*f, -k*a = 2*f - 8*a - 22. What is the remainder when 0 + 4*(0 + 4) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**0*s)\/(((s**(-2\/13)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 3*g - 2*a + 8, 0 = -3*g + 4*a - 14. Let v be -2*g\/4 + 0. Let s = -9 + 14. Solve 3*t + v = -s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2989134 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 20*f**2 - 23516*f - 51836. Determine i(1178).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108) + -5)**2 + (sqrt(375)\/sqrt(5))**2 + ((-1*sqrt(72))\/sqrt(4) - sqrt(18))\/(-2*sqrt(6)*-6).\nAnswer: -361*sqrt(3)\/6 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1036054423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 10 = -6*g, 6178797*c + 3*g - 3 + 2 = 6178801*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -286*n**2 + 7 - 147*n**2 - 7.\nAnswer: -433*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1 - 2*45*-1?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*f - 2603 = -2607 + 2505 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 4708, 13, -3, -2 in ascending order.\nAnswer: -4, -3, -2, 13, 4708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j**3 + 0 - 2*j**3 - 3.\nAnswer: -6*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2928 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j\/(j\/(j*j**(1\/5))))\/j**(-10)*(j**(-2\/5))**(-5\/7) assuming j is positive.\nAnswer: j**(472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 178 - -10. Suppose 0 = 2*a + 2*n - 72, o = 2*a + 3*a - 3*n. Suppose -s - 4*s = 25, -2*s - 90 = -4*h. Calculate the remainder when a is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9*185*19\/(-570)*(8\/(-6))\/2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.113687 or 2\/101?\nAnswer: -0.113687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 14 = l + 2*u, 5*l + u - 15 = 0. Let w be (-5)\/((-2*6)\/(-4)). Let d = 4\/3 + w. Which is the nearest to -1? (a) l (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand v**2 - 41*v - 45*v + 91*v + (3*v - 6*v + 4*v)*(1 - 1 + 3*v).\nAnswer: 4*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -86*f**2 + f + 9. Let s be o(3). Let h = 1081 + s. Suppose 8*j - h = 249. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3 + 1 + (-10)\/10. Suppose -18 + 21 = l*j. Calculate the greatest common divisor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.033 and 64254?\nAnswer: -2120.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - -1.5. Let g = 0.1 + -0.13. Suppose 0 = 3*i + 3*z, -2*z - 1 = i + 4. Sort i, g, a in descending order.\nAnswer: i, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bksbksbxbbsssebkskk. Give prob of picking 1 e and 2 s.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 652 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3937 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 227*r - r**3 + 229*r - 686*r + 230*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 40578, 40519, 40472, 40443, 40438, 40463?\n\"Answer: a**3 - 66*a + 40643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 112 - 102 - (-1 - (-4 - -12))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -7*d - 17. Does 13 divide k(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10806*w**3 + 1803*w**2 - 32*w - 1926996?\nAnswer: 64836*w + 3606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 2*x. Let u(y) = 81209*y**2. Calculate l(u(v)).\nAnswer: 162418*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 19*y - 109. Calculate the remainder when r(23) is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 - 4*z**2 - 2*z + 10. Let t be p(4). Suppose l - 3 = t*s, -5*s - 1 = -l + 11. Let i(x) = x**2 + 3*x. Let v be i(l). Solve 8*g - 3*g = v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6125207170 to the power of 1\/2, to the nearest integer?\nAnswer: 78264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-7\/3)\/k)\/((k\/(k*((k*k*k*k**(-7))\/k)\/k))\/k)*k\/(k**(2\/21)*k)*(k*k*k**(-2\/19))\/k*((k**(-4))**(2\/15))**(-9\/2) assuming k is positive.\nAnswer: k**(-3414\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 446*y - 8 = 448*y, 6*p + 12 = -3*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -2, -14\/5, 7803 in ascending order.\nAnswer: -14\/5, -2, 0.5, 7803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*g + 754 + 759 + 41*g - 1513 + 347*g.\nAnswer: 417*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 210134.\nAnswer: 1\/210134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -3*w. Let i = 24 + -21. Let s(t) = -i*t**2 + t**2 - 2*t**2 + 3*t**2. What is c(s(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.26 - 0.14. Put u, 0.08, -3 in descending order.\nAnswer: 0.08, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103518 is divided by 452?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.458 and -94.1055523?\nAnswer: 94.5635523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -6.39 and 1\/42159 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 - 9. Let p = 6 - 9. Put 2\/7, p, v in increasing order.\nAnswer: p, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(1*(sqrt(105)\/sqrt(12) + sqrt(35) - sqrt(35)))\/(2*sqrt(1008) - (sqrt(7) + sqrt(28)\/(sqrt(4) + -2*sqrt(4)))).\nAnswer: -5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-27)\/(-12))\/((-3)\/(-40)). Let d = -26 + p. Let z = -3 - 0. Which is the nearest to 1\/4? (a) -0.05 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -0.5, 4\/5, -2\/5 in ascending order.\nAnswer: -0.5, -2\/5, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 65 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 0*z + 0*z + 3*z**2 + (-3 - 5 - 6)*(z**2 + 0*z**2 - 3*z**2) in the form h*z + p*z**2 + m and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -2*g - 13 + 17, 5*m - 6 = -2*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.3 + -4.3. Let z = -10 - -5. Let p = g - z. What is the closest to -1\/2 in p, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*m**3\/5 - 19052*m**2 + 569102012*m\/5 - 23173326116\/5 = 0. Calculate m.\nAnswer: 41, 11887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -353*p**3 + 164*p**3 + p**2 + 4 - 5 to x*p**2 + g*p**3 + k*p + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 178671637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + 2. Suppose -m + v + 2 = 0. Solve -4*a = r + 17, -2 = -2*a + 2*r + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3438 - 3434. Solve 4*y - 5 = -0*z - z, 0 = i*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.21 * 142.\nAnswer: -29.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8494472201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do 7 and -2869 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -5578709.961 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/2055 + 20777\/1370. Calculate the common denominator of v and -131\/402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k - m - 29 - 16, 2*k = 4*m - 40. Let q be (-1 + (-6)\/k)\/((-54)\/15). Which is the second biggest value? (a) -1\/2 (b) -3\/14 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10410 (base 5) to base 14.\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 12048 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 34*c - 41*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 3\/22, -6, 4 in descending order.\nAnswer: 4, 0.2, 3\/22, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*q = -59*q - 1235342. List the prime factors of q.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-195)\/(-117)*(-15)\/650?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/5*120\/(-48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11914238 is divided by 154730.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13 + -8. Suppose -3*z - c*h + 303 = -2*h, -3*h - 15 = 0. Is z\/(2\/(-3)*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 14 * 350.\nAnswer: 4900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*h - 1139022 + 233022. What is h rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of -k**8\/420 - k**7\/70 - k**6\/45 - 3*k**3\/2 + 10*k**2. Let j(q) be the first derivative of r(q). Let j(c) = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(8)\/sqrt(4) + -4 + 1*sqrt(2) + 1 + sqrt(2) + sqrt(12)\/(sqrt(18)\/sqrt(3)*-4))**2.\nAnswer: -22*sqrt(2) + 249\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor n**4 + 188523*n**3 + 188522*n**2.\nAnswer: n**2*(n + 1)*(n + 188522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 5*i + 2*n - 136, 3*n = -6. Suppose 0 = 4*m + 2 + 26. Let u = i - m. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -2*k**4\/9 - 966010*k**3 + 17388188*k**2\/9 = 0.\nAnswer: -4347047, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22*k**6 + 23*k**6 - 10*k**2 - 39*k**6 wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**3 + 13*d**2 + 251*d + 2170. What is o(-10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1606910*y - 2552 = 1606968*y for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 76*h = 75*h - 12 - 19, -103*i + 2*h = 6*i + 45 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22.9 - -116.9. Let j = -93.8 + s. Which is the nearest to -3? (a) j (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6\/8)\/(1\/(-16)). Let f = b - -7. Let y(n) = 2*n - 3 - 2 - 4*n**2 + 3*n - n**3. Determine y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 64\/9 of a week?\nAnswer: 71680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 58 = -40. Suppose q*f = 211 + 17. What is the third derivative of -f*w**3 + 11*w**2 + 38*w**3 + 6*w**2 - 23*w**6 wrt w?\nAnswer: -2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7222164?\nAnswer: 2, 3, 563, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*j + 147*j = -52*j + 990 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 4:46 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmssmssmsm. What is prob of sequence mm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2. Let p(t) = -24112756*t**2. Determine p(f(z)).\nAnswer: -24112756*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6814732 is divided by 6814673?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 5*a**2 + 3*a + 4. Let h be m(5). Suppose 3*b + 3*x + 9 = 453, -h = -b - 2*x. Is (-1)\/((-4)\/b) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -27128\/15 - -1803. Find the common denominator of v and 11\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 3*i + 94, -h = -5*i - 0*i - 148. Let s = -22 - i. Calculate the greatest common factor of s and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -406, -1019, -1714, -2497, -3374, -4351?\nAnswer: -5434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29992*x - 15000*x - 14995*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 599345*f**3 + 599366*f**3 - 1198628*f**3.\nAnswer: 83*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (-12 - -25 - 3 - (-14 - (-6 - -1)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*d - 3052*d**2 + 3068*d**2 - 8*d.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/10 - (-56)\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 59859701, 59859703, 59859707, 59859713, 59859721?\nAnswer: 59859731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 2*m**5\/7 - 121*m**4\/7 + 81*m**3 - 666*m**2\/7 = 0.\nAnswer: 0, 2, 3, 111\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, s: 3, j: 3, x: 4, v: 2, u: 4}. Give prob of picking 1 x and 1 v.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v*v\/(v\/(v\/((v**(-2\/13)*v)\/v)))*v*v)**(-40))**(-3\/8) assuming v is positive.\nAnswer: v**(1005\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2183 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 2*c**5\/9 + 24*c**4 + 418*c**3\/9 - 652*c**2\/9 - 568*c\/3 - 848\/9 = 0. What is c?\nAnswer: -106, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7997 - -7996.97923. Round z to 4 decimal places.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -4*a + 4. Let v(b) = 4*b - 5. Give -5*d(t) - 4*v(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 728 = 12*k - 136. Let s = 69 - k. Is (14 + (-3 - -2))\/(s\/(-267)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 + -23. Solve -4*c + 6 = -n + 22, g*n - 3*c - 3 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {i: 2, z: 3, v: 2, u: 3, j: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3000) + (sqrt(3000) - sqrt(3000)*-1) + sqrt(30) - 1*sqrt(1920))\/(((sqrt(90)*3)\/sqrt(3))\/sqrt(5)).\nAnswer: 23*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 51022 and 46814.\nAnswer: 4540958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 3*g - 289 = -5*g, 2*g = 4*d - 1156. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (10\/(-20))\/(5\/6 + -1). Let i(m) be the first derivative of 5*m**2 - m - 1030. What is i(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*y + 3*y + 6. Suppose y*i = 6*i - 72. What is the smallest common multiple of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -93e6 - a53d?\nAnswer: -14934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/(-4180))\/((-192)\/2112)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l**2 + 6*l + 3. Let n be p(-4). Let b = n + -6. Let k(c) = -c**2 - 7*c + 4. What is the smallest common multiple of k(-6) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from deeednaaeadaddeedd.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 5*v**3 + 3*v**2 + 3*v - 4. Let t(a) = 9*a**3 + 5*a**2 + 5*a - 9. Let m be -4 - 0\/(-5) - (-6 + 5). What is m*t(k) + 5*q(k)?\nAnswer: -2*k**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -70\/3681 and -1\/45?\nAnswer: 18405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 6) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6934.\nAnswer: 2, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 113217, 113213, 113209?\n\"Answer: -4*a + 113221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -8*a + 6424 - 6424. Let l(f) be the first derivative of -2*f**3\/3 + 13. Determine l(w(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 + 140?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 - -b35?\nAnswer: b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 13*a + 83. Suppose -5*r + 9 = -d + 4*d, 7 = -r - 5*d. Does 2 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2120617404 to the nearest integer?\nAnswer: 46050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hqss when four letters picked without replacement from shsqs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -197, -3, 0, -2 in increasing order.\nAnswer: -197, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 18 - 6 = 4*x, -6 = -w + x. Let z(p) = -3*p + 4 + w - 10. Let h(s) = 6*s. Calculate z(h(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 - -3 - (2 - -1). Let d be (-4)\/(-10)*5*(-24)\/(-1932). Is h >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/11 in -14, -1\/3, -4, 3, -1\/20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -45*y + 42. Let l = 2.058 + 0.042. Let j = l - 2. Which is the second smallest value? (a) -1\/2 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 4*w + 4. Let s(f) = 216319*f. Calculate s(u(v)).\nAnswer: 865276*v + 865276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.5 - -2. Suppose 2*p - 2*n = -0*n + 4, n + 10 = 3*p. Suppose -5*q - p*q - 36 = 0. What is the nearest to 1 in o, q, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2347.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {q: 3, f: 2, a: 4, i: 1, s: 1, n: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - 498?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -73172521*t**2 + 49232938*t + 1.\nAnswer: -146345042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -35, -53, -71?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 30330 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: Calculate the greatest common divisor of 42 and 2269176.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 3*v + 7*h - 4, -2*h = 5*v + 6. What is the units digit of -3*(v - (3 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7064 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -53302*a*u - 11228*u with respect to a.\nAnswer: -53302*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, -4.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*m + 38*m = 2876. List the prime factors of m.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 + -8)\/(4 + 0 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l**3 + 24*l**2 + l - 3. Let q be s(12). Suppose 4*h - q = -33. Which is the second smallest value? (a) -2 (b) -1 (c) h (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3774841 is divided by 1887415?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of 1\/3*c**3 + 5\/2*c**2 + 3 - 3*c. Calculate h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*(2 + (-1 - 13)). Suppose 39*z = 51*z - 60. Let f = z + y. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/2, -1\/3, 5878.5, -2, 0.3.\nAnswer: -2, -3\/2, -1\/3, 0.3, 5878.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.08 + -0.01. Let p = q + 4.09. Let h be (-1)\/(-8)*(-6)\/(-2). Which is the closest to -2\/3? (a) 3\/5 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -2*k. Let q(h) = 61 + h - 61. Give q(u(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 + ((-3)\/(-3) - 0). Let u be (-1 + w + -824)*-7. Suppose 5*x = -a + 20003, 2231 = 2*x - 5*a - u. What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 458430.\nAnswer: 2, 3, 5, 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**2*n**3 + 81191*i**2*n + 3*i*n**3 - i*n**2 + 9305*n**3 wrt n?\nAnswer: 6*i**2 + 18*i + 55830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 - 6*q**2 - 9*q - 66. Determine j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tm when two letters picked without replacement from ynhttntmttnnyh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2, 3, 5, -7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(1\/2)*o*o)\/o**(-4))**(-3\/11)*(o**(-1\/2)*o*((o*o**(2\/3))\/o)\/o)\/(o**(1\/4))**(-33) assuming o is positive.\nAnswer: o**(877\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of 1921.8 and -0.1.\nAnswer: 1921.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1572 and 127400644.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -123 + 181. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 10543*o**2 - 2*o. Let i(a) = a. Give b(i(x)).\nAnswer: 10543*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*h + 4*h + 1 + 8*h.\nAnswer: 21*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + i = -3161, -5*j + 3169 = 2*i - i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 36047, 36026, 35979, 35894, 35759, 35562?\n\"Answer: -2*a**3 - a**2 - 4*a + 36054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, 0.2, 0.4, -1.055?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 120*j + 231*j**3 - 61*j - 58*j + 155*j**3.\nAnswer: 386*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2649352 and 22784?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1337*w + 5*b + 75 = 1333*w, -93*w + 2*b - 1389 = 0 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((405\/(-729))\/(4\/333))\/(20\/(-16))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-18)\/(-15))\/((-8)\/170). Suppose -43*l + 350 - 1468 = 0. Is l > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 15495 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 65\/8 and -7\/1242.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 117810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 23*d - 221. Let m(y) = y**2 + 12*y + 111. Let i(r) = 5*m(r) + 3*s(r). List the prime factors of i(19).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-16 - -19) + 6 + -7 + -18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 5*j + 3. Let k = 4 - j. Suppose -k*i = 2*q - 3*i - 5, -q = 3*i - 20. Solve 2*v - q*v = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 0 - (9 - 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*t**2 - 15*t**2 - 6*t**3 - 11*t**2.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (159\/(-10) + (1 - 220\/200))*-2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 6. Let w(i) = -i**2 + 6*i + 5. Let b be w(n). Is ((-894)\/12)\/(1\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.7, -12, 6, -65?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**2 + 2*l - 22. Let z be r(4). Suppose -5*s = z - 12. Is (742 - (5 - s))*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-24*24\/5568).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 6*n**2 - 29*n + 144. Is 12 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of -1\/3*p**3 - 8 + 0*p**2 + 0*p. Let k(g) = 2*g**2. What is x(k(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 161 - 25. Suppose 0 = -5*a - 350 - 55. Let h = a + r. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -4.75. Let s = o + -1.02. What is s rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 73049791, 73049788, 73049785, 73049782?\nAnswer: 73049779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = -3*j, 35 = -j + 5*w + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 66\/(-42) + (2 - 1). Let r = -2.9 + 3. Let u = 0.1 - r. Which is the smallest value? (a) z (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 7. Suppose -3*h = -w - 3. Solve 3 - m**h + 2*m - 3*m - 1 + 2*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1\/8)\/m)\/m)**(-3\/7) assuming m is positive.\nAnswer: m**(51\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*d + 36*d + 0*h - 20 = -h, 39370*d - 39372*d + 3*h - 46 = -14 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - 24) + (20 - (20 - 0)) + -13 + 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3985 - 3981. Solve -4 = 4*t + p*c, 47*c - 45*c + 2 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -257 - -265. Sort 1, -1, u in decreasing order.\nAnswer: u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x**2 + 0*x**2 - 3*x**2 + (2*x + 0*x - 3*x)*(527*x + 36960 - 36960) + x + 2*x**2 - x + (-x**2 - x**2 + 4*x**2)*(0 + 2 + 0) + 4*x**2 - 4*x**2 + 2*x**2.\nAnswer: -520*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -7*o + 15. Determine f(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-68 - -72) + (-1 - 14) + -21?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-6) + 447\/9. Let p(f) = 40*f + 41*f + 28 - 80*f. Let z be p(-21). Calculate the greatest common divisor of z and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 * 380.45\nAnswer: 380.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 18 = -5*l, -9*f - 5 = -6*f - 2*l. Suppose 5*t + v - 4 - 5 = 0, v = -4*t + 7. What is the tens digit of 2 + (t - f) - -32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 3 = -4*s. Let j(u) = 13*u**3 + u. Give j(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w**3 + 619873*w**2 - 991787*w + 371919 = 0. Calculate w.\nAnswer: 3\/5, 1, 123973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/4*((-560)\/42)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14499967.\nAnswer: 37, 391891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -13\/3723?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.04 + 3. Let h = 25 - 21. Suppose 5*i = -1 - h. What is the biggest value in x, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44022?\nAnswer: 2, 3, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 45243 by 2.\nAnswer: 45243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 174*i + 2280 = 11*i - 27*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes after 8:04 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 14, -26, -1, -3 in decreasing order.\nAnswer: 14, -1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 13110301223 (base 4) to base 15.\nAnswer: 27ddc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10861201 to the nearest integer?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1387545592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 251, 1059, 2441, 4427, 7047, 10331, 14309?\nAnswer: 19011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3368*x**3 - 1117*x**2?\nAnswer: -20208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*d = 19*d - 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 80253 times -0.3?\nAnswer: -24075.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - d = 7, -3*d + 4 = -d. Let b be 51 + -4 + -3 - (w - 5). What is the highest common divisor of b and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5220520 + 5222626 = 81*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 206 + -174. Calculate the lowest common multiple of c and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 92, 89, 78, 53, 8, -63?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 3692871?\nAnswer: 2\/3692871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 10*m**2 + 2*m - 6. Let y be u(-1). Solve -n = y*f - 3*n, -n + 10 = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 15*x - 4*x - 8*x. Let g(f) = f. Determine b(g(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14225 + -922. What are the prime factors of c?\nAnswer: 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.045*1884.\nAnswer: -84.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -5827807 (base 11) to base 14\nAnswer: -14d2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-1)\/2)\/((-1749)\/(-1752) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -7*h - 4. Let c be 2*((-132)\/8 - -3). Let f = 31 + c. Let r(n) = -3*n - 2. Determine f*w(d) - 9*r(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 6:47 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 307\/(-520) + 210125\/(-5000) + 42.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4 + (100\/6 - 6\/9). What is the common denominator of -39\/8 and (i\/50)\/(32\/415)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**2 - 17520*j - 1047604.\nAnswer: 4*(j - 4439)*(j + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) 5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*b**2 - 16*b - 8*b + 24*b + 3153*b**2.\nAnswer: 3107*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -198 + 194. Which is the closest to 1\/4? (a) h (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + 31 = v, 0 = -503*m + 503*m + 4*v - 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 320445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/(b\/(b**(9\/2)\/b))*b)\/b**(-5\/6))\/(b**(2\/7)*b*(b**34*b)\/b))**47 assuming b is positive.\nAnswer: b**(-29563\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 136 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 198832*n**4 - 103*n - 226 wrt n.\nAnswer: 2385984*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:54 PM and 5:38 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 89721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2\/(4\/(-5))*((-520)\/(-325))\/((-10)\/16)\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*((j**(-42)*j)\/j)\/j*j*j\/((j\/(j\/(j\/j**(-9\/7)*j)))\/j*j)*j*j*j*(j*j\/(j\/(j*j**(-27))))\/j*j*j*j\/j**9 assuming j is positive.\nAnswer: j**(-506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4082 and 48042?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2772 at most 2071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m + 2 = 2*m + 11*c - 8*c, -3*m + 14*c + 77 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, b: 4, v: 1, i: 3, u: 3, t: 2}. What is prob of picking 2 t and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-4*(-2 + (0 + sqrt(432))*-5)*-3 + -4)**2.\nAnswer: -7779920 - 201600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve z**2\/11 + 107254*z\/11 + 2875855129\/11 = 0.\nAnswer: -53627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.69 - -0.51. Let k = 0.8 + a. Sort 0.5, 2\/11, k, -0.02 in descending order.\nAnswer: k, 0.5, 2\/11, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 510501 times 1.14?\nAnswer: 581971.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2857639*x**2 - 12*x**3 - 26*x**3 + 5715280*x**2 - 2857643*x**2.\nAnswer: -38*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i - 12. What is y(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-50) + 74\/10 - 1633\/213?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 3*d = 0. Is 2 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in 49*c**5\/4 + 77553*c**4\/4 + 30253847*c**3\/4 - 344207861*c**2\/4 - 194716824*c - 101120773 = 0?\nAnswer: -5578\/7, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0.26, -3\/7, 113, 1\/4 in descending order.\nAnswer: 113, 0.26, 1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 16 - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 6, 14, 22, 30?\n\"Answer: 8*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 5*-110\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 14616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + 5 - 5 + 1)*(3 - 2 + 1)*(d + 2*d - 4*d) + 1 - d**2 - 1 + (d + 0 + 0)*(-d - 3*d + 6*d) + 6*d**2 - d**2 - 3*d**2.\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 46 + 180. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 568, 971, 1372, 1771, 2168, 2563?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1549 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14\/17 - -120\/187. Let t = 18.1 + -17.19. Let d = 0.09 + t. What is the closest to d in q, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 3*d - 150 + 45 = -5*b, -20*b - d + 3*d = -24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 1\/3 (b) -4 (c) 111 (d) 3 (e) -5\/46 (f) -0.1 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8439 + 8e3?\nAnswer: -7a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1)\/(-2))\/((-13)\/(-52)). Let g(z) = z**2 + 3*z - 3. Let r be g(-3). Let t = q - r. Sort -4\/5, -3, t in decreasing order.\nAnswer: t, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3890 - -5912. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of n**7\/105 - n**6\/60 - n**5\/30 + n**4\/12 - n**2 - 4. Let m(z) be the second derivative of d(z). Factor m(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 561870?\nAnswer: 2, 3, 5, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -7*d**3 - d**2 - 4*d. Let f be m(-4). Let n be (-804)\/10*(15 - (-70)\/(-6)). Let s = f + n. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30\/(-50)*(2\/(-8) + (-20037)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3647855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.612 and -0.5.\nAnswer: 0.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6 + (-18)\/15*-3)\/((-1)\/360). What is the greatest common factor of t and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - 5)\/(3\/(-9)*-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18074, -18075, -18076?\nAnswer: -18077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1756974.\nAnswer: 2, 3, 103, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -205 divided by 41?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 29458 and 4576?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -141 (base 5) to base 10.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times -13014\nAnswer: -6507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 351.5 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 56\/35 + 2\/5. Let d(b) = -2*b - 2*b**2 + i*b + 5*b**2. Let a(x) = x**2. Determine d(a(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 12*l**2 - 6*l + 4. Let f(t) = 10*t**2 - 9*t + 3. Determine 3*f(o) - 2*w(o).\nAnswer: 6*o**2 - 15*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*y - 21 - 12*y**2 + 13*y + 9 + 3*y**3 + 1 - 6 to the form j*y**2 + p*y**3 + u*y + a and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is a + -8c?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 123673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 96 = -2*o - 4*b, -5*b = 5. Suppose -2*u + 5*x = u - 19, -5*u + 4*x + 10 = 0. Let h be 368\/(-12)*3\/u. Is o at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 2*m - 386 = 0, 5*r + 3*m + 62 = 707. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-230)\/((-120)\/(-324)*27)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 411 = -4*l + 7*l. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -96.4 at most -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is y in -4124*y**3 + 48*y**2 = 0?\nAnswer: 0, 12\/1031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3377113 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3069 is divided by 588.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -1, -8, -27 in descending order.\nAnswer: 4, 2, -1, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from npn. What is prob of picking 1 n and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(-90)\/132 - (-5 - (6 + -9)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-252)\/(-48)*(-12)\/9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 38 = 3*i, 0 = 4*i + i + 3*z + 15. Let s(y) = 21*y + 1. Let t be s(i). Let a = 175 + t. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2316060178 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-6) + 20\/(-12). Let n be 15\/(-9)*-1 - 48\/(-9). Sort -1\/4, p, 0.1, n in descending order.\nAnswer: n, 0.1, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2944*x**5 + 8*x**3 + 2*x**2 + 157009*x wrt x?\nAnswer: 58880*x**3 + 48*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -883.3 in -11, -2\/5, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**32\/r)\/r*r*(r\/(r\/r**8))\/r*r)**(-7) assuming r is positive.\nAnswer: r**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + m = 6*m + 108, 3*r = 2*m + 74. Let z be (-62)\/r + (-10)\/55. Which is the second smallest value? (a) 3 (b) -2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -7250*b + 341274. What is v(47)?\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2 (b) -5 (c) -0.04 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -351*v - 4111. Calculate k(-11).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d - 140 = -2*d. Solve 1 = -3*h + d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -6*(-4*((-6*(sqrt(119)*1 + sqrt(119) + sqrt(119) + sqrt(119)))\/sqrt(7) - (2 + sqrt(153) + -4)))**2 + 1.\nAnswer: -1190111 + 10368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/1441 and 143\/126850182.\nAnswer: 1395352002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1088 + 1086 - 2174 - 236*p to l*p + u and give l.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of b**5\/20 - 23*b**4\/12 + 11*b**3\/3 + 29*b**2\/2 + 37*b. List the prime factors of c(22).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 5:44 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 246 * 2742.\nAnswer: 674532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6.8 - 7. Let p be ((-1)\/(-1))\/1*3. What is the closest to 2 in p, f, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 9, v: 3}. What is prob of picking 4 w?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6455955875 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.010924283939 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2154, 207, -9938, -32379, -71214?\nAnswer: -130541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (k - 2*k + 0*k)*(k - k + k) - 4*k**2 + k**2 + 2*k**2 - k**2 + 0*k**2 - k**2 + 17*k - k**2 - 57*k - 14*k in the form g*k + o*k**2 + v and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*t - 5928 - 5712. Suppose -c + 1465 = 4*s - s, -2*s = 2*c - t. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 11:08 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 329550 and 23790?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 + 6560*s - 45965. Determine o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 2*l - 12. Let k be b(13). Let q be (k - 17) + 0 + 210. Suppose 151 = 2*s - 3*h, -q = -3*s + 5*h + 22. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10111 + -110001100100111?\nAnswer: -110001100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -2\/5, -0.2 in descending order.\nAnswer: 0.3, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/4 - 1\/2*k + 1\/4*k**2.\nAnswer: (k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 3 (c) -29 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 12.6 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1900965, 3801909, 5702853?\n\"Answer: 1900944*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7.7 + -7. Let m = 1.7 - r. Let x = -0.5 + 1. What is the nearest to m in x, -4, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 150614973?\nAnswer: 3, 2237, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-1*sqrt(102) + sqrt(102))*3)\/((4*sqrt(1176))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1476.7 (c) 2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 9*r - 10. Let s be x(1). What is the units digit of ((-15)\/6)\/(s + 267\/270)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9934319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 55331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/2)\/(((-2)\/(-114))\/(224\/672)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55015, 55016, 55017, 55018, 55019?\nAnswer: 55020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - -13. Let n(t) = t**2 - 17*t - 16. Let s be n(p). Solve 3*o + s*o = -25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*x + 26*x + 564 = 15*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 889 + -922. Sort h, -1\/4, 4\/3, 4 in descending order.\nAnswer: 4, 4\/3, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -c - 2*i + 6*i, 4*c + 2*i = -24. Let r(j) = -2*j - 6. Let f be r(c). Let w be ((-2)\/f)\/(5\/(-75)). Put 1, 2, w in decreasing order.\nAnswer: w, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*r = -62*r - 426. Let n = 147 + r. Suppose 2*w + 5*y - 28 = 4*y, 70 = n*w + 5*y. Calculate the remainder when 123 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*-351.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.3 - -0.3. Let l = 0.1 + k. Let i be (9 - 6)\/((-14)\/2). What is the nearest to l in i, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x = -4*f - 12, 95366*x - 95370*x + 24 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -8*k + 13. Give h(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -16712 divided by -1\nAnswer: 16712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4\/(-14) + (2408\/49)\/4 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161*f - 534 = -155*f. Which is bigger: -91 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6\/515 in -0.3, -0.4, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-25)\/(-5) + -24)\/((-2)\/16)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -65855, -131030, -196193, -261338, -326459, -391550, -456605, -521618?\nAnswer: -586583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(-21) - 372\/(-7). Solve 2*h + u = -10, 55*h + 5*u + 18 = i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 227276 + 3?\nAnswer: 227301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 72681 divided by 3.\nAnswer: 24227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 1)*(-2*n + 0 + 0)*(0*n**3 + 0*n**3 + 8*n**3).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*x - 115*x + 176 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 3, z: 2}. Give prob of sequence zzr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of n**4\/6 + n**3\/2 + 2*n**2. Suppose 0 = 10101*i - 10119*i + 54. Give l(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11076 + 11079. Let m(w) = -12*w + 6. Calculate m(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/(-14))\/(2\/4)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - -4. Suppose -b - i + 5 = 0, -j - 2 = -5*b - i. Let h(o) = o - 1. Let y(w) = 2. Suppose 5*a = -5 + 20, -3*a + 3 = -3*n. Calculate b*y(v) + n*h(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1111 (base 2) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of 33*s**2\/2 + 54*s - 54. Let c(w) = 16*w + 28. Let p(x) = -5*c(x) + 2*u(x). Find the first derivative of p(l) wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes after 10:31 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 - 0)\/4 + -2 + 5. Solve -3*t = a + 5, 11 = -3*a - a - c*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 367 - 258 = -5*c, -3*x + 2*c = -1858. Let r be (-132)\/42 - -3 - (-2214)\/14. Suppose -6*h - r = -x. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + -7 + (-21 - -44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 167 is divided by 71?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15*10\/(-200)*24?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 38215037, 76430079, 114645125, 152860175?\n\"Answer: 2*z**2 + 38215036*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 14) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1, -11, -21, -23, -11, 21?\n\"Answer: h**3 - 5*h**2 - 4*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x**4 + 5*x**4 + 0*x**4 + (-3*x + x + 0*x)*(2*x**3 - 2*x**3 - x**3) + 3*x**2 - 3*x**2 + 2*x**4.\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 270 - 194. Solve -n + 72 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 3*l - 5. Let x(d) = -4*d + 6. Let z(n) = 7*c(n) + 6*x(n). Determine z(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the first derivative of 0*h**3 + 1\/2*h**4 - 17 + 7*h**2 + 68*h. Find the first derivative of m(u) wrt u.\nAnswer: 6*u**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -3*l + 30. Let m(a) = -3*a - 8*a - 7*a - 10*a + 91 + 20*a. Give 4*m(b) - 11*p(b).\nAnswer: b + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 1. Let r(c) = -2*c**2 + 2*c - 1. Suppose q - 6*q = -15. Let y = q + -2. Let w(g) = y*r(g) + o(g). Determine d so that w(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00029709 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 75920.67 millilitres in litres?\nAnswer: 75.92067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 117 + -117. Which is the closest to p? (a) -3 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-27)\/(-15))\/(12\/(-40)). Let f be (84\/36)\/((-14)\/g - 2). Suppose -13 + f = -3*m. Solve -m*n + 33 = 5*u, -4*u = n + u - 29 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*a, -5*b + 5*a - 12 = -42. Suppose 14 = 4*w - 2*w. Solve -w = f - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 12 - 7*h - 3 - 1 + h**2. Let k be r(8). Suppose 8*v = 3*v + 40. What is the highest common divisor of v and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((6*d - 3*d - d)*(-5 + 2 + 4) + 24*d - 26*d + 26*d)*(-2*d - 5 + 5 - 2 + 2 - 2*d + (-3 + 2 - 1)*(4*d - 2*d + 0*d) + 2*d + 3*d - 4*d).\nAnswer: -182*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -201*n**3 + 6*n**2 + 12*n + 348. Let y(u) = 201*u**3 - 7*u**2 - 14*u - 348. Let k(o) = -7*q(o) - 6*y(o). What is the first derivative of k(a) wrt a?\nAnswer: 603*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(77)\/(sqrt(55)\/sqrt(5)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wcw when three letters picked without replacement from {p: 5, w: 2, c: 1, j: 8}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 59, 551, 1897, 4529, 8879, 15379?\n\"Answer: 72*s**3 - 5*s**2 + 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 610 - 75. Let g = 913 - j. What is the tens digit of ((-2)\/4)\/(2 + g\/(-188))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 31 - 46. Let f = s - -11. What are the prime factors of (-50)\/f - (-1)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 221 and 148733?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -91, -708, -2365, -5584, -10887, -18796?\n\"Answer: -87*g**3 + 2*g**2 - 14*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 + -4. Find the third derivative of n*d**6 - 2*d**2 - 8*d**6 + d**2 wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18185 - 17231. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 518 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the second derivative of 13*w**5\/20 - 3*w**4\/4 - 11*w**3\/6 + 11*w**2\/2 + 13*w. Let s(l) = -7*l**3 + 5*l**2 + 6*l - 6. Determine -6*m(g) - 11*s(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6380 - 22*d - 6380.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 497.9 + -544. Let d = 46 + h. Which is the nearest to 0.1? (a) 0.1 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37, 82, 127, 172?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 12*s - 22. Let d be o(2). Suppose d*p + 3*n = 904, 3*p + 6 - 1355 = -n. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 + 112506?\nAnswer: 112506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12487.2 + -12487. Which is the closest to 4? (a) -0.2 (b) r (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - 13*d - 19. Let n be w(-10). Suppose -101 + n = -5*h. Let y(i) = -2*i - 20. Let k be y(-11). What is the highest common divisor of k and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 58 or 87?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 870 + -869.99999359. What is s rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -30*(3 + 35\/(-15)). What are the prime factors of (c\/25)\/(3\/(-165))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2513 - 47?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65456469.\nAnswer: 3, 13, 31, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 + 10*q**2 + 5*q + 3. What are the prime factors of a(-6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (-5 + -2))*(6\/(-9))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2 + 627*t - 1908.\nAnswer: 3*(t - 3)*(t + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1232453 - -43?\nAnswer: 1232540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2066\/11 - -188. Put 2\/21, 2\/7, q in decreasing order.\nAnswer: 2\/7, q, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164 is divided by 161.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -h - 8*h + h + (-5 + 5 + 7)*(34*h - 2 + 2*h + 3) in the form u + x*h and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 c, 1 k, and 1 l when four letters picked without replacement from kzglzlckllljgkzczlk.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the second derivative of -1\/4*n**4 + 0 - 1\/20*n**5 + 1\/6*n**3 - 18*n - 5\/2*n**2. Determine k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 64\/14 + -13 + 6 + 2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 12:54 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3002 + 3005. Sort -50, -3, w, 4 in descending order.\nAnswer: 4, w, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 31873 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -27. Suppose 0 = -2*i - 0*i - z + 5, 5*i + r = 4*z. Is -4\/3 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w, 1 c, and 1 d when four letters picked without replacement from {w: 9, c: 1, d: 1, q: 7}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 4 = -8. Solve 5*z + 16 = -4*s, -m*s - 2*z + 18 = -6*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 29 - 201\/7. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(130)*2*-5*-1*1)\/(-4*(sqrt(640) + (sqrt(640) + (sqrt(640)*-2 - sqrt(640)) - sqrt(640)) - sqrt(640))) + 5.\nAnswer: 5*sqrt(13)\/48 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 126582929?\nAnswer: 11, 337, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -1 (c) -2 (d) 30 (e) -37103 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express w**3 - 2*w**3 + 59 - 60 + 63*w**2 in the form f*w**3 + o*w + b + c*w**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 2*b + o - 40, -5*o + 128 = 3*b. Suppose 248 = 4*q + b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t = 5*r - 6*t - 40, -r + 5*t = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 82*r - 141. Let j be n(7). Let g = j + -33. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -2*sqrt(176)*2*-5 - (5*(-2*sqrt(88) - sqrt(88))\/sqrt(8) - sqrt(22)\/(sqrt(8)*-6))**2.\nAnswer: -352595\/144 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80842238 - -4.\nAnswer: -80842234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 49*p**2 - 5 - 2.\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -1165 * 0.5.\nAnswer: -582.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 12\/(-24))*(-5 - (-5)\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r**2 - 7*r**2 - 1 + 1 - r**3.\nAnswer: -r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7.19 - 80.19. Let z = -73.07 - m. Put z, 0.3, -3 in descending order.\nAnswer: 0.3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8415 divided by -2805.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -1223?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 62, 86, 126, 182, 254, 342?\n\"Answer: 8*m**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*v + 116*v + 163*v + 7290 = 0 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -22671409199 + 3964?\nAnswer: -22671405235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 84674.67 nanometers to kilometers.\nAnswer: 0.00000008467467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -98659, -96281, -93903, -91525, -89147?\n\"Answer: 2378*j - 101037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4684039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 80737*x**4 + 2*x**3 - 916559.\nAnswer: 322948*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - -82\/9. What is the second smallest value in i, -0.004, -3?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 - 2*z)*(-2*z - z + 4*z) + 4 - 4 - z**2 + 0 + 0 + z**2 - 71*z**2 - 315 + 315 + 4*z**2 + 2*z**2 + z**2 to the form f + a*z + l*z**2 and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v + 10. Let p be r(-7). Suppose h + 4 = p*h. Solve h*u + 11 = 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggcccccccccgccc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (53 - 59) + (-21 - 2 - 8 - (-2 - -7)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 710 divided by -71\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3823 - -3823.000012625. What is p rounded to 7 dps?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 6:56 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 4*s + 1. Let u be 6\/15 + (-4)\/10. Suppose 4*l = -5*h - 15, u = 4*h - 9*h - l. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -939*x + 2825. Give o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = -2*n - n + 1878, -4*d + 2480 = -2*n. Let a = d - 9941\/16. Calculate the common denominator of (14\/5)\/((-12)\/65) and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 155 + -16 + -32 + -29\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 56716*i - 102*i**2 - 56716*i.\nAnswer: -102*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 5:05 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.54 + -0.14. Let z = -1 + f. Which is the closest to -1\/4? (a) 3 (b) z (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.85 - 1.15. Let t = -23 + 19. Put -2\/19, k, t in descending order.\nAnswer: -2\/19, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is y in -5*y**3 + 2717600*y**2 + 13588125*y = 0?\nAnswer: -5, 0, 543525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8605 is divided by 4188.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - t - 47 = -22, -4*b - 5 = 5*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (5\/(20\/(-16)))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -15 - -2 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 0*r - r + 2*r**2 - 5*r**3 + r**3 + 2*r**3 in the form t + a*r**3 + i*r + f*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -326, -1253, -2800, -4967, -7754, -11161, -15188?\nAnswer: -19835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -17, -55, -117, -203?\n\"Answer: -12*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/(-18)*135\/(-60). What is j in 0 + q*j**3 - 1\/2*j**2 + 0*j = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 2*d + 6. Let h(w) = 1. Determine 3*h(m) + l(m).\nAnswer: 2*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04898 times 0.13?\nAnswer: -0.0063674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, f: 1, k: 1, y: 1, z: 1, d: 1}. What is prob of picking 1 z, 2 v, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**2 + 3*j**2 - 2*j**2)*(-j - 1112 + 1112 + j**2).\nAnswer: 2*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 22*h + 61. Let v be w(-19). Suppose 2*r - t + v*t = 616, 4*t - 298 = -r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2. Let h(g) = 64*g + 5. Let l(k) = -178*k - 16. Let c(a) = 16*h(a) + 5*l(a). Determine c(i(s)).\nAnswer: -134*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2176, -17399, -58720, -139189, -271856, -469771, -745984?\n\"Answer: -2175*u**3 + u**2 - u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 531 + -522 + (11 - 1) - 88?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 12 + (21 - 10) - (16 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30 - -55. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*o = -93*o - 68816. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {w: 1, v: 2, d: 1, b: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -9136110 to the nearest 10000.\nAnswer: -9140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((192\/12)\/(-32))\/((-20)\/(-16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 5584 divided by 1084\nAnswer: 1396\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 - 9 - (6 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -12 - ((-18 + 19 - -18) + -10)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2253 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2717 - 1555. Is 1166 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 658007246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z\/(z**(-1\/2)\/z)*z*z*z*z)**28*z**4*z*z*z*z\/(z\/((z\/(z*z**4*z)*z)\/z)) assuming z is positive.\nAnswer: z**212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55 - 52. Find the third derivative of -10*q**4 + 643*q**3 - 643*q**o + 2*q**2 wrt q.\nAnswer: -240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 12*p - 24. Let g(n) = n - 5. Determine -b(l) + 3*g(l).\nAnswer: -9*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/18 and -1\/6663?\nAnswer: 39978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 34 + -167\/5. Which is the fourth smallest value? (a) 0.4 (b) 1 (c) -0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-8) - 1\/(-4). Suppose -o = 4*p - p, l = o - 3*p. Suppose -2*x + 5*x - 108 = o. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 475565911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1961 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1058 + -1062. Which is the nearest to 1? (a) k (b) 3 (c) 1\/3 (d) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*i + 5 = 61 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 + 10*s**2 - 10*s + 15. Let i be g(-11). Let x be -4 + i + (-4 - -3). Is 0 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2826 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 21 = -5*s, 2*s - 56 + 65 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1632235nm in micrometers?\nAnswer: 0.0001632235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 101*s**2 + s - 1. What is the tens digit of c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y - 42*y - 56*y + 9*y - 36*y - 70*y.\nAnswer: -198*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**3 - 10*v**2 + 3*v - 29. What are the prime factors of z(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -80*q**2 - 28*q + 12.\nAnswer: -4*(4*q - 1)*(5*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -321556, 1, -35 in decreasing order.\nAnswer: 1, -35, -321556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1\/10, 6, -3, 3\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 39978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 + 26 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2640\/33*(-7)\/(-35).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 2\/7, 0.5, -22, -4\/3, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 - s**3 + 0*s**2)*(s**2 - s**2 - s**2 + s**2 - 32*s**2 + 0*s**2 + (-6 + 3*s**2 + 6)*(4 - 2 - 1)).\nAnswer: 29*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - 11*l + 64 = 9*l - 2*l - 3*l + 22, -6 = -3*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -3*p - 18, -9*p + 7*p = -3*k + 14. Solve 71*l = -k*d + 70*l, -3*d - 7 = -2*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19713218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 253680 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 46*t - 66 - 7 - 19. Solve -t*v = m + 526 - 524, -5*m - 10 = -v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, q: 5}. What is prob of sequence zzzq?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/36 and -19\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 0 not equal to -4\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 1\/132233?\nAnswer: 1\/132233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - -1) + 480 + -469?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 45304871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*k = i + 96*k - 12, 3*k = 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/(18\/4) - 11\/((-99)\/18). Suppose 5*m + 4*z = -7, -12 = 3*m + 5*z - 0. Let t be (m\/(-2))\/((-2)\/(-20)). Sort f, t, 0, -2 in decreasing order.\nAnswer: f, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/7, -1\/7, -73?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -9 + 9 - t**2. Let s(r) be the first derivative of r**2 + 1. Determine s(w(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (60\/(-200))\/(4\/10). Let t = -45 - -45. Which is the biggest value? (a) 0.5 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l - 5*x - 11, l = -l - 3*x + 35. Suppose -l - 32 = -4*y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -i**4 + 1\/2*i - 1\/2*i**5 + 0*i**3 + 0 + i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 215 divide 274125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) -3.5 (c) 1 (d) -10517 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1537\/6 - 256. Let n be 3\/12 + (-22)\/(-8). Which is the third smallest value? (a) -3\/7 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*j + 9*j**2 - 33*j + 11*j + 11*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -3*d**3 - 2*d + 2. Let m be 4\/6 - 1\/(-3). Suppose -11 - 1 = -3*w. Let i(l) = -4 + m + l + w*l**3 + 2*l. Calculate -3*h(o) - 2*i(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/1*(-11 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-6 - -2) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(1 + (sqrt(3) + sqrt(75))**2).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 227*l - 228*l + 4, -z - 2*l = -9056. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**3 - 10*i**2 + 8*i + 4. Suppose 5*w = 2*j + 17, 5*w - 36 = -4*j + w. Suppose j*t + 4*x = 20, 4*t - 34 = 2*t + 4*x. Determine k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 16) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 71586695 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 22522086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1*4\/80*4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214014.\nAnswer: 2, 3, 53, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*z**5 + 118846*z - 118846*z + 779 + (4*z + 2*z**2 - 4*z)*(-2*z**3 + 0*z + 0*z) + 0*z**5 + 2*z**5 - 4*z**5.\nAnswer: -3*z**5 + 779","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 + 7*p. Let z be s(-6). Let n(t) be the first derivative of -t**4\/4 - 7*t**3\/3 - 3*t**2 + 3*t - 1. Give n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((52855\/155)\/341)\/((-2)\/(-3)*6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -787, -1416, -1831, -2032, -2019, -1792?\n\"Answer: 107*a**2 - 950*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rxkrlxlllrglrrf. Give prob of picking 1 r and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 17*l**2 + 21*l - 13. Let v(f) = f**3 - 2*f**2. Let y be v(3). Let q(w) = 4*w**2 + 5*w - 3. Let r = -4070 - -4068. Calculate r*g(x) + y*q(x).\nAnswer: 2*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 - l - 1. Let g(x) = 2*x**2 + 3*x + 8. Give g(w) + 5*m(w).\nAnswer: -3*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 505*x + 181832 = -643*x - 189*x for x.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31\/6646632 or 1?\nAnswer: -31\/6646632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-1\/4))\/s*s*s)**(-13)\/(s*s\/(s*s**(1\/4))*s)**45 assuming s is positive.\nAnswer: s**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*j + 3*j + 195*j**3)*(1 - 2 - 1 + (-1 + 1 + 1)*(0 + 2 - 4) + 1 + 0 + 0 - 3 + 3 - 1)*(-2 + 2 + 1) as d + m*j**2 + t*j + f*j**3 and give f.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - 5 - (1 - (2 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 3*c - 75, -5*c + 68 = -k - 37. Let w(i) = i**3 - 19*i**2 - 17*i - 63. Determine w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 5*y + 4. Suppose -9*f = -11*f + 22. Calculate the remainder when 45 is divided by 2 + f - (y - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -369160.326 to the nearest one thousand.\nAnswer: -369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -27862 (base 10) to base 14.\nAnswer: -a222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -73, 0.21 in decreasing order.\nAnswer: 0.21, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1725 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t - 30 = -9*t. Find the third derivative of c**2 - t*c**4 + 3*c**2 - 3*c**4 - 9*c**4 wrt c.\nAnswer: -528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 92462 and 177126?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 83 = 5*i, 0*i - 4*c = i - 20. Suppose 0*u + i = u. Suppose -4*k = 5*d - 54, -3*k + 13 = -2*d - u. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 68 + 12. Let d = -21 + y. Let k(a) be the third derivative of 3*a**4\/8 + a**3\/6 - a**2. Determine k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 55687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 0. Let x be (u - -1)\/((-6)\/(-4)). Is 3*(-2)\/x*-2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/735 equal to -26.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 10 = 3*t - 0 - 4 + 17, 0 = 6*t + 36 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*w - 9*w + 24*w - 6*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -103.341 + 103. Let x = c + -0.159. Let d = 0.4 - -0.6. What is the second biggest value in -5, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-3)\/(-6))\/(2\/12). Suppose 2*q - c*p = 3, 0*q - q - 5 = 5*p. Let s = 1 - q. Solve -4*i = -4, 2*w + 3*i = -6 - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/8 and (-206)\/12*(-6 + 612\/104).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 10196.\nAnswer: 112156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*w + 36 = 43*w. Solve 10*x - w*x - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69 = l - 3*y - 36, 4*l = 3*y + 384. Suppose -d = -4*d + l. Sort d, 0, 4\/7 in ascending order.\nAnswer: 0, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z + 12 = -2*z - 5*c, -2*z + 6 = -2*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -22*s - 39*s + 14*s + (-3 + 2*s + 3)*(-1 + 1 + 1) + 2*s - 2*s - s + 2*s - 3*s + 0*s.\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -19\/10 or -1?\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1053) - (-5*5*sqrt(1053))**2) + 1 + -5.\nAnswer: -658129 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3900 + -11711\/3. Which is the closest to 2? (a) -0.2 (b) 3 (c) o (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*b**2 + 10*b**2 - 81*b**2 - 50*b**2.\nAnswer: -111*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1 minus 18.74?\nAnswer: -19.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rmvmr. Give prob of sequence rm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 57202*k**4 - 488*k**3 + 2*k**2 + 19*k - 185097 wrt k?\nAnswer: 1372848*k - 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2 - 25938*c - 129665.\nAnswer: -(c + 5)*(c + 25933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -291\/470 - -28\/235. What is the second smallest value in g, -8, 0.9, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 4*v + 9. Let i(n) = n - 11. Let o be i(-7). Let z(c) be the second derivative of -c + c**2 + 0 + 1\/6*c**3. Give o*z(u) + 4*k(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 5*x - 28 = b, 2*b = -2*x - 20. Let u(q) = -q**3 - 11*q**2 - q - 10. What is the units digit of u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2035)\/(-814) + (198074\/4 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -353118 or -353110?\nAnswer: -353118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -71526 or -929850\/13?\nAnswer: -929850\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 1126850 by -5.\nAnswer: -225370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -8d653 (base 16) to base 10.\nAnswer: -579155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*l - 768 = 10*l. Let r = -6 - -11. Calculate the remainder when l is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1280 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 348253.24 to the nearest 100.\nAnswer: 348300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 74 * 2.88.\nAnswer: 213.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4003831, 4003835, 4003839?\nAnswer: 4003843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, l: 2, d: 1, g: 2, x: 2, c: 1}. Give prob of sequence glhx.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -816? (a) 0.5 (b) 33 (c) -3 (d) -0.4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 240 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -5*x**3 - 2*x**2 + 2. Let k(w) = 6*w**3 + 3*w**2 - 2. Calculate 6*j(p) + 4*k(p).\nAnswer: -6*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -4*r**2 - 12*r + 2. Let l be m(-3). Let k be 0 + l\/5*5 + 4. Solve 3*c - c + k = -3*j, -2 = 2*j + 2*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 12715.2, 0.4, 2?\nAnswer: 12715.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/10626 and -109\/218130?\nAnswer: 35118930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 41 = -15. Suppose -3*q - 5*s = -20, 0 = 5*q + 2*s + s - t. Suppose -3*o - 54 = -q*o. What is the remainder when 106 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4918 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 955638 and 28950210?\nAnswer: 492153570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 279478 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**3\/t)**(10\/11)\/(t**(-2\/9))**(2\/9))**(5\/3) assuming t is positive.\nAnswer: t**(8320\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -25655*r**4 + 2*r**3 + 20043 wrt r.\nAnswer: -102620*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3724*c - 2*o + 110 = 3728*c, -5*o = 5*c - 47 - 93 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(2\/3))\/j*j\/(j**(-15)\/j) assuming j is positive.\nAnswer: j**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1464030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of 7*y**4\/4 + 5*y**3\/3 + 5*y**2\/2 + 5*y + 74. Let l(s) = s**3 + s**2 + 1. Give 5*l(i) - q(i).\nAnswer: -2*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 2:09 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -397*z**3 - 2*z**2 - 15*z - 25. What are the prime factors of f(-3)?\nAnswer: 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11102 - 112102121?\nAnswer: -112021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 4040303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqjqjjjqqjmjqqqqqjq. Give prob of picking 2 j.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -275372 or -3?\nAnswer: -275372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 0 - 3. Let k = -10 + 15. What is the units digit of 3*k\/(-3)*t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, 1\/58, 2, -1\/2, 1\/2924, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -1373*b - 19. Calculate l(-1).\nAnswer: 1354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -187*n + 49*n - 16064 + 7370 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {s: 2, l: 5, w: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -8\/5*v + 6\/5*v**3 + 0 + 2\/5*v**4 + 0*v**2.\nAnswer: 2*v*(v - 1)*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1011000111110 (base 2) to base 12\nAnswer: -3366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -99469140 to the nearest 100000.\nAnswer: -99500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15 - (4 + -52)) + -5 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 2*k - 36, -126 = -5*n - 3*k - 52. What is the remainder when (3 + 1 - 1) + 27 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 97*a*i**5 - 2*a*i**3 + a*i - 4*i**3 + 2*i + 112 wrt i?\nAnswer: 1940*a*i**3 - 12*a*i - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + l = -2202 + 2273, -5*p + 3*l - 94 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence epep when four letters picked without replacement from {e: 4, p: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2625 - -2683. What is the remainder when 159 is divided by b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, e: 4, f: 1, d: 2}. Give prob of picking 1 o and 1 d.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -155 + -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the third derivative of -i**6\/30 - i**5\/20 + i**4\/8 + 2*i**3\/3 + 12*i**2. Let h(z) = -z**2 + z + 1. Calculate f(d) - 3*h(d).\nAnswer: -4*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + 2. Let v = -19\/2 + 245\/26. Are v and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d - 3*d + 7*d)*(-11 + 15 - 9) - 1 - 3*d + 0 + 3.\nAnswer: -13*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - 4. Suppose -j - 9 = -3*j - 3*l, l - 3 = -2*j. Suppose 4*f + 3*c = 12, -2*c + c - 9 = -3*f. Solve -y + r*y + f*w + 19 = j, w + 5 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2\/3, 2\/4425647, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15 + 39. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -u - 5*v - 4, 2*v - 8 = -4*u. Let j be (2 - -7) + (2 - 5). Calculate the remainder when 24 is divided by 26\/j*u\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7 + (1 - 0) - (5 + -6)) + 24\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhmh when four letters picked without replacement from {m: 2, h: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -217501\/2254 + -5\/1127. Let a = -94 - z. Which is smaller: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*f**2*t**3 + 18002*f**2*t - 66534*f - t**3 wrt f?\nAnswer: 18*t**3 + 36004*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 14*q + 3. Suppose 7*b - 4981 + 4491 = 0. Let l(r) = 168*r + 35. What is b*m(d) - 6*l(d)?\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4724*j - 3423*j + 58545 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2562049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9422 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*k + 1 = 3*z - 34*k, -5 = 5*z + 2*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 4*d - 3 = -7, -20 = -5*d. Is -1*(-2738 + 0 - (-1 - h)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or -8\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -82\/13905 and 67\/7599546.\nAnswer: 113993190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2205530933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 28\/(42\/6)*(-2)\/(-3)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 571591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-8)*f*f*(f*f**(-2\/5)*f)\/f*f**(4\/11)\/(f**2*f))\/((f**(-1))**(-28)*(f*f**(2\/7)*f)\/(f*f**(-3\/8))) assuming f is positive.\nAnswer: f**(-116107\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 3*n + 19 = 0, 40 = -4*p - 3*n + 116. Is 8 a factor of (48\/(-10))\/(p\/(-190))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11053905 is divided by 2217.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 72\/((-16)\/(-4)) + -2. Let a = w + -5. Find the second derivative of -3*u**2 + u - a*u + 2*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -310 - -1110303024?\nAnswer: 1110302214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - 2. Let f be (k\/(-4)*-6)\/(-2). Solve x - 8 = -f*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 198040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -6208942 minus -3?\nAnswer: -6208939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: a54 (base 12) to base 15\nAnswer: 6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 68 times -0.71?\nAnswer: -48.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 671, 679, 691, 707, 727, 751?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 4*u = -12, -5*f - 3*u + 15 + 6 = 0. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (140\/1568*-14)\/((-10)\/(-12))*(-12)\/174.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/((-80)\/(-3))*16\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 28.6 in 1\/3, -2\/3, -2, -4, -42?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 514*i**2 - 4*i - 8. Let f(u) = u**3 - 6*u**2 + 4. Let g be f(6). Let o be z(g). What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -16*l - 18. Let m be u(-9). Calculate the greatest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -13*k**2 + 63*k - 62374 wrt k?\nAnswer: -26*k + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -416, -273, -6 in decreasing order.\nAnswer: -6, -273, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 11 = -u, u = -5*u + 4*o + 14. Let y = 0.8 + 0.2. Which is the closest to 25? (a) u (b) 0.5 (c) -0.2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 254386 and 4774.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -44\/49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9856 divided by 2041.\nAnswer: -9856\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -4. Suppose 3*b = 4*b + f. Let n(o) = -o**3 - 7*o**2 - 7*o + 6. Is n(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(63)*6 - (sqrt(5103) + sqrt(5103) + 2) - ((-4*(sqrt(189) + sqrt(189)*-2 + sqrt(189)) + sqrt(189) + sqrt(189))\/(-4*sqrt(27)))**2.\nAnswer: -18*sqrt(7) - 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-3))\/(88\/(-396)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**2 + 9*d + 15. What is the remainder when 48 is divided by p(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in c + 7211*c**3 - 7460*c**3 + c.\nAnswer: -249*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 8*v - 113. Is v bigger than 56\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 - (4 - 40)\/4. Let x(s) = -3*s + w*s - s - s. Let z(i) = -i**2. Determine z(x(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/(l*(l\/((l*l**10)\/l)*l)\/l))*l*l**(3\/11))**(1\/3))**(-5\/3) assuming l is positive.\nAnswer: l**(370\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**2 - p - 28. Let v be n(0). Let i be -8 + 4 - -3*2. Let h be 6\/v + -3 + 7\/i. Which is the nearest to 0.4? (a) 0 (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 3*w - 63, w + 202 = -5*k + 53. Let z = k + 32. Solve -3*n - o = -4*o - 3, z*n = 3*o + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = 5*g + 20, i - 24 = 4*g - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 + 18. Let x be (-5)\/d - 1\/(-4). Which is the closest to -1\/4? (a) 2\/15 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -1493*c**2 + 10*c - 10. Let d(h) = 4482*h**2 - 32*h + 32. What is -5*d(s) - 16*n(s)?\nAnswer: 1478*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 516\/40 + -14 + (1 - 0).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-2 + 4 - (-1 + 10)) + 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113912?\nAnswer: 2, 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {q: 4, b: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 + 7*m - 9. Let g be r(4). Let o(q) = -q. Let s be o(g). Suppose -1 + 13 = -4*u. Is u greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 781*r**4 - 161*r**2 + 10*r**2 - 3*r**5 - 405*r**4 - 389*r**4 wrt r?\nAnswer: -180*r**2 - 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 6*c**2 - 608*c + 37. Let o be z(22). Solve 14*m - 325 = -o for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 57 + -2261.3070133\nAnswer: -2204.3070133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3429 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34 + -34.896. Let x = 0.86 + a. Let o = 35.964 - x. Which is smaller: 2\/5 or o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2077436671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*r - r + 8, 0 = 5*u + 3*r - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 33 + -21. Let d(p) = -395*p**2 - 47*p + 240. Let l be d(7). Is (l\/(-16))\/(2 + (-21)\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide (30 - 1 - -5)*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 5*h + 138 = -47, 4*h + 8 = 0. Suppose 2*i + 3*i = l. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + -240?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 5, -7, -1\/3, 0.12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -483*u + 36*u**2 + 36*u**2 - 1 + 484*u - u**3 - 286*u**2 - 108*u**2 to v + l*u**3 + k*u**2 + b*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (250\/1125)\/(4\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/(-30))\/(1\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5547 - -1?\nAnswer: -5546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, -53, -21 in descending order.\nAnswer: 4, -5, -21, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -2 equal to -40\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3864)\/126)\/((-41)\/(861\/(-14)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 81110 and 114880.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 + 16. Let j be z\/(-11) - (-1820)\/154. What is the second derivative of j*m - 5*m**3 + 2*m**3 - 8*m + 7*m wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a + 3 = q + 1, -2*a + q - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**19*z*z*z**(-23) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2200449047 to the power of 1\/2, to the nearest integer?\nAnswer: 46909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 613737687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -428 - -427.9. Is t bigger than -0.018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:04 PM and 8:30 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 2569 = -3*h, 2541 = -h + 4*h - 3*i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 3*x = 6*x - 5, -k = -4*x + 10. Calculate the least common multiple of 60 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 + 3*a + 10. Let x be z(6). Let j(v) = -7*v - 19. Let s(q) = -11*q - 29. Let f(r) = x*j(r) + 5*s(r). Give f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1635\/(-2398))\/((-36)\/22))\/((-20)\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 778727023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -503.6961 plus -176.3?\nAnswer: -679.9961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 + 1 + (1 - 4 - 7)*(-7 + 2 + 2))*(5 - 3 + 11*p - 3*p + (-p + 1 - 1)*(-1 + 4 - 1) - 6*p + 3*p + 2*p).\nAnswer: 165*p + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -56*t - 687. Calculate the remainder when 229 is divided by p(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-5) - (-65)\/25. Let x be (-15)\/6 - (q - 6). What is the smallest value in -1\/5, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/5, -1\/103635, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 39 and 21?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 2345 = -360. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1027*y + 27993 = -627*y - 701*y for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 25799.8731 to the nearest ten.\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 5*h = -78000038, 0 = 3*i + 2*h - 16204668 - 61795376. Suppose o = 6*o - 2*j + 32499992, 4*j = -4*o - i. What is o rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1296*k**4 - 2*k**3 + 2270*k**2 + k?\nAnswer: 31104*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 142*c**3*s**3*x + c**3*x - 1033*c**2*x - 7*c*s**4*x + 2*c wrt s?\nAnswer: 426*c**3*s**2*x - 28*c*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17.8 + -17.3. Sort m, 0.1, 2\/11, 2\/3.\nAnswer: 0.1, 2\/11, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-18)\/24 + (-27)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.004738999 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5.89 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes before 11:44 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7143377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + -4)\/(10 + -11). Let x(t) = -t - 3. Let c(z) = -1 + 4 - 4. Let j(g) = -4*c(g) + x(g). Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2*5\/10*0)\/3. Solve z*y = 4*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 404*w**2 + 16*w - 24. Let m be o(-12). Let z = m + -33523. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 969.7 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 2*p - 7 - 33 = 0, -11 = -b + p. Suppose -b = -s + y - 1, 4*s = -4*y - 20. Solve -3*c + 2*z + 12 = s, -2*c + 8 = -5*z + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, 1\/7, 2\/3, -13 in descending order.\nAnswer: 0.7, 2\/3, 1\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3088, -6237, -9386, -12535, -15684?\n\"Answer: -3149*l + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2, -43, -140, -307, -562?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 2*o = -3*o - 8, 0 = 4*q + 5*o - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42*8023467.\nAnswer: 336985614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 35 = -4*k, -8*y - 3*k + 69 = -1. Let s(v) = -2*v**2 + 17*v - 6. Calculate s(y).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - -13 - (3 - -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8781 + 8780. Which is the closest to 2\/3? (a) p (b) -6.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x = -v + 7, 4*v + 4*x - 6 = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0.15, 4, -0.05?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7*p**5 + 554*p**4 - 2*p**2 + 75*p - 2 wrt p?\nAnswer: 420*p**2 + 13296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1 + sqrt(1300))**2.\nAnswer: 100*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00095399 rounded to 5 dps?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2397 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 598661 is divided by 2100?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/(((o\/(o\/o**(-1\/4)))\/o)\/o)*o)\/o**(5\/2)*((o*o**(-2\/11))\/o)\/o**(2\/11) assuming o is positive.\nAnswer: o**(105\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum -2043.23 and -0.023.\nAnswer: -2043.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k + 9. Let o(g) = 2*g + 18. Let r(d) = -5*j(d) + 2*o(d). Calculate the smallest common multiple of 2 and r(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + -10 + (14 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -14*z - 52. Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4009409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 2*k + 24, 5*t = -0*t - 3*k + 8. Suppose 3*m - 5 + t = 2*x, -21 = -3*m - 3*x. Suppose m*l = 6*l - 1113. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-14)\/(-4)*15\/14*460. Calculate the greatest common divisor of a and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2 (b) 1\/2 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8\/7569 and -5\/3724789?\nAnswer: 33523101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2111032222 - 12?\nAnswer: -2111032300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of 2*q**7\/21 + q**6\/120 - 7*q**5\/60 - 78*q**2. What is the third derivative of w(l) wrt l?\nAnswer: 480*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (((sqrt(325) - sqrt(325)*-1*4)*-3)**2 - (sqrt(13) + ((sqrt(13) - sqrt(13)*2) + sqrt(13))**2 + 5 + sqrt(637)*-2)).\nAnswer: 13*sqrt(13) + 73120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 + 7*a + 11. Let o(f) = -f - 1. Let i(l) = j(l) + 6*o(l). Suppose 4*r + 8 = 4*h, -h - 5*r - 6 = 4. Determine i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000943444511 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 + 768*s + 20069. What is t(-26)?\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 - (-4 - (-4 + 12)). What is the highest common factor of 36 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 91.6 + -92. What is the closest to -2\/5 in 0.1, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 13*g**2 - g - 8. Let d be z(5). Let r(k) = 883*k**2 - 2*k - 1. Let h be r(-1). Suppose d - h = -4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 108227.892 + 0.1545419.\nAnswer: 108228.0465419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 12:27 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(16\/(-332)) + 5. Suppose 27*d - o = 47. Solve -6*i = 25 + d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dyydmyymymmd. Give prob of sequence dmmd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, 4, -0.79, -5, 0.0213?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 5:30 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 45, -5 in increasing order.\nAnswer: -5, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (-6 - -5) + (-3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -8*g + t - 39, -5*t - 30 = 5*g. Let p = g - -15. Let j = 13 - p. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z. Let x(i) = -10*i**2 + 2*i. Calculate a(x(n)).\nAnswer: -40*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 16803, 16832, 16861, 16890, 16919, 16948?\n\"Answer: 29*x + 16774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -714\/71 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -106 + 136. Suppose n + 94 = h + 5*x, -116 = -h - 3*x. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 - -24. Solve -3*z + 6 = t*p - 7, 0 = -3*p - 4*z + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from luclt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -6*n. Let t(y) = y**3 + 5*y**2 + y + 4. Let u be t(-5). Let b(h) = 2*h. Let g(s) = -s. Let l(p) = u*b(p) - 3*g(p). Give l(d(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 3*q - 13 + 11, 0 = -3*q + 5*k - 14. Solve -3*s - 12 = -4*n, 0 = -4*n + 2*s + q*s + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(475) + -5 + sqrt(475)*1)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -5*d - 59. Give r(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (9\/(-42))\/(180\/70). What is the smallest value in p, 0.4, 2.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -67 (b) -5 (c) -35 (d) -60 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -925*-8.\nAnswer: 7400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the second derivative of f**6\/150 - f**4\/10 - 4*f**3\/15 - 3*f**2\/10 - 14*f. Factor i(l).\nAnswer: (l - 3)*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 36 + 149?\nAnswer: 17f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -140355 divided by -200?\nAnswer: 28071\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f + 1 - 9. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 5:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/6)\/(5\/(-90)). Let s = d + -3. Suppose s*p - p = 40. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -15, 0.4, 0.897, -108, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6.4 in -3, 35, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 0.046 (b) -5 (c) 6\/25 (d) -324\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**3 + 6*c**2 - 6. Let s(g) = g**3 + 39*g**2 - 39. Let a(u) = 10*u**3 + 430*u**2 - 430. Let v(h) = 4*a(h) - 45*s(h). What is -35*o(w) - 6*v(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 1694.41385 to one decimal place.\nAnswer: 1694.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - -11. Let h be 4 - (4 + 3\/(-3)). Let w = 5 - h. Sort k, w, -3 in descending order.\nAnswer: w, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*s - 4. What is the second derivative of s*o + o**2 - 2*o + 3*o - 3*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**4 + f**3 - f - 1. Let g(p) = -5*p**6 - 4*p**4 - 4*p**3 - 41*p**2 + 4*p + 4. Let n(z) = -g(z) - 4*v(z). What is the third derivative of n(q) wrt q?\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/220 and 31\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**3 + 6*i**2 - 12*i + 111. Calculate the remainder when 277 is divided by w(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -34*l*p**2*w**3 - 6*l*p**2 + l*w**3 - 5*p**2*w**2 - p**2 - 90*p*w**3 with respect to l.\nAnswer: -34*p**2*w**3 - 6*p**2 + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*w**3 - 2*w**3 + 2*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-77)\/22*(-36)\/(-12)*(-2)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 11 + 0*a + 0*a + 2 + a. Let j(r) = 2*r + 14. Let l(y) = -2*j(y) + 3*m(y). Calculate l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 21 = -4*j, -z = -3*j + 12 + 5. Let a(u) = -14 - u**3 + 13 + 9 - 7 - 6*u**2 - 5*u. Calculate a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes after 10:48 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is i in -i**2 + 2*i**3 + 4*i**2 + 48*i + 13*i**2 + 4*i**2 = 0?\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 944\/(-8024) + 94\/(-68)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5.6 and -3.161?\nAnswer: 17.7016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16815, -16813, -16811?\nAnswer: -16809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1794 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3597604 equal to 3597604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u + 10 - 22. Let k = 186 + u. Let j = -96 + k. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 - 8*y**2 - 10*y + 12. Let j be p(9). Suppose -12 - j = -3*c. Suppose c*f - 4*f - 10 = 0. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 556866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -4. Suppose u + 2*o = 2, -5*u - t*o + 24 = -6*o. Suppose -6*y + 17*y - 22 = 0. Solve -y*m + 4*q = -10, m + q - 10 = u*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve s - 3*g + 5 = 0, s - 4*g + 14 = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -7.2575 and 84.\nAnswer: -609.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-99)\/12 + 2\/8. Let w(u) = -2 - 4*u + 81*u**2 + 1278*u**2 - 6. Let p be w(i). Round p to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, g: 13, i: 1}. Give prob of sequence ggq.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**2 - 8 - 98*t**3 - 6*t + 1 + 99*t**3)*(4 - 5 + 0).\nAnswer: -t**3 + 2*t**2 + 6*t + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -20322221?\nAnswer: 20322230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12.19 - -12.24. Sort p, -1, 5\/2 in increasing order.\nAnswer: -1, p, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13451 or -3417?\nAnswer: -3417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 701419 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7798861577.\nAnswer: 13, 271, 2213699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 442392358 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6039 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -41 (base 5) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -35?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-37)\/(-37))\/((-1)\/(-7))*(-9)\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from slll. Give prob of picking 1 l and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-9 - -10) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4.57 - -4.27. Let s = 199\/6 - 65\/2. Which is the closest to 0.1? (a) -2\/3 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j*s**3 + 4*j*s**2 + 9*j*s + 3*j - 15*s**6 - 103*s**5 - 8*s**2 wrt s.\nAnswer: 6*j - 1800*s**3 - 6180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -145 + 152. Let l = -1 + 4. What is the smallest common multiple of c and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72564 is divided by 274.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 21 - 21. Let p(r) be the second derivative of 2*r + w*r**5 + 0*r**2 - 1\/6*r**3 + 0*r**4 + 0 - 1\/30*r**6. What is the second derivative of p(c) wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = 2095*a - 2098*a. Solve 0 = l + 3*l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (10\/(-4))\/(25 + -26). Let j(f) be the first derivative of 0*f - 4 + d*f**2. Let s(z) = -z. What is s(j(y))?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -14 - -6b44?\nAnswer: 6b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*d + 132 = 14*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 3, 615, 1, -1037, 2 in descending order.\nAnswer: 615, 3, 2, 1, -1, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*u - 25 = -3. Let z(y) be the second derivative of -1\/12*y**4 - 3*y + 0*y**u + 0 - 1\/20*y**5 + 0*y**3. Solve z(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -408957 and -80.\nAnswer: 32716560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -4*z**3\/3 - 16*z**2 - 44*z\/3 = 0. What is z?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-3*sqrt(152))\/(-1*sqrt(16)\/sqrt(2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 2 = 0, -p + 325 = 3*p + 5*g. Let v be (-59)\/10 + (-8)\/p. Is -6 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2207*p - 4763 = 2206*p. Is 29 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100111001010000110 (base 2) in base 10?\nAnswer: -160390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**3 - 3*j**2 - 9*j + 3. Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 7:38 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 25 + -88 + 75 + -56\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, y: 2, p: 1, u: 1, t: 1, d: 1}. What is prob of sequence yyc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the second derivative of -2*m**6\/15 - 14*m**5\/5 + 4*m**4 + 368*m**3\/3 + 448*m**2 + 3*m + 133. Factor a(d).\nAnswer: -4*(d - 4)*(d + 2)**2*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1374 is divided by (-3408)\/(-10) + (-98)\/(-490).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-10) + 299\/115. Suppose 0 = t*l + a - 7306, 0 = 5*l - a - 5344 - 6830. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4993 + -4992.99995607. Round d to 6 decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 78 + -54. Suppose 569 = 3*c - 5*n + k, 2*n + 921 = 5*c. Calculate the highest common divisor of c and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5\/17, 6, -0.5, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 32*m - 4600. Let p = 1197 - m. What are the prime factors of p?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qgq when three letters picked without replacement from gqiyyiiqyagyidyyd?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f\/(f\/(f**(-1)*f)))\/f**4)\/((f**4\/f*f)\/f**(2\/5)))\/(((f\/(f*f\/(f\/f**(-1\/9))))\/f*f**(1\/6))\/(f**(-6)*f**(-5\/6)\/f)) assuming f is positive.\nAnswer: f**(-617\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -113 = -19*w - 18. Suppose 3*n - 16 - 23 = -5*h, -w*h + 65 = 5*n. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -65*c**2 - 60*c**2 + 30*c**2 + (-c + 0 + 0)*(-2 + 3*c + 2).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 64906 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 13*f = -110. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 107*m**3 + m**2 + 91*m wrt m.\nAnswer: 642*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -162, -3591, -12920, -31101, -61086, -105827, -168276?\nAnswer: -251385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d - 11. Let v(y) = -y**2 + 11*y + 24. Let p be v(12). Let g be a(p). What are the prime factors of (1 - -1)\/(g\/22)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 1159 = -3*s, 162*n + 3*s = 166*n - 2315. What is the remainder when n is divided by 95?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, a: 1, i: 2, t: 1}. What is prob of picking 1 a and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 30 and 5896185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -18 (b) -0.3 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5455072 divided by 13916?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3033001 (base 4) to base 3\nAnswer: 200011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 424?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 78, 48, -20, -138, -318, -572?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c2b (base 15) to base 2.\nAnswer: -1011111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 - 2*k**2 - k. Let r(h) = 5*h**3 - 2*h**2 + h. Calculate -7*j(g) + r(g).\nAnswer: -2*g**3 + 12*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*a**4*q + a**4 - 332*a**2*q + 143961*q wrt a.\nAnswer: -12*a**3*q + 4*a**3 - 664*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**5 + 12*s**4 - 21*s**3 + 10*s**2.\nAnswer: -s**2*(s - 10)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -37*h**2 - 11984594*h + 647816.\nAnswer: -(h + 323908)*(37*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 1599420*j - 399841*j - 399859*j - 399857*j + 3 - 399865*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together 782 and -2043.\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 30 = -4*x, m - 2*x = -3*x - 2111 + 2117 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/(-15) - (-18)\/5. Solve i + 2 = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 31 - 20. Let y = 9 + -16. Let x = y + k. Calculate the remainder when 13 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 + -5. Suppose -2*w = -9 - 1. What is the closest to -1 in a, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -2*m**3 + 3*m**2 - 4. Let f = 1 + 2. Let l(w) = -w**f + w**2 - 1 - 11*w + 11*w. Let c(i) = d(i) - 4*l(i). Find the third derivative of c(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -313, -6, 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27731 = -11*s + 52646. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 112431414 - -12?\nAnswer: 112431431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -6*w**3 - 2*w**2 - 12*w + 3. Let d = 6 + -7. Let a(i) = -i**3 + i**2 - i + 1. Let o(c) = d*s(c) + 5*a(c). Does 7 divide o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - l = 451 + 182, 15 = -5*l. Let w = -87 + f. What is the greatest common factor of w and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14441 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 780 + -1151. Let v = 368 + p. Let n(j) = -4*j**3 - 2*j**2 - 3*j. Let k(u) = -3*u**3 - 3*u**2 - 2*u. Determine v*k(r) + 2*n(r).\nAnswer: r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -360054*g**2 - 360052*g**2 - 1 + 720056*g**2 + 2.\nAnswer: -50*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 327 = -5*d + 293, -2*d - 4*v + 272 = 0. Calculate the highest common divisor of 54 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -27635 and -4?\nAnswer: 27631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*k = -8*k - 144. Let i = 239 - 143. Calculate the highest common divisor of i and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {j: 6, o: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 29 = 2. Suppose -2*y + z = y. Factor 0*x**y + 0 + 2\/7*x - 2\/7*x**5 - 4\/7*x**4 + 4\/7*x**2.\nAnswer: -2*x*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2\/3 (c) -0.4 (d) -58 (e) 0.1508\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 1 - 5)*(81*w**2 + 664 - 664)*(0*w**2 + 2*w**2 - 4*w**2).\nAnswer: -162*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -g**4\/11 + 9*g**3\/11 - 7*g**2\/11 - 9*g\/11 + 8\/11 = 0. Calculate g.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - 12 = 3*a, -5 = 5*a + 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 17? (a) -0.3 (b) 4 (c) -0.05 (d) -2\/19 (e) 10\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 101\/30 + -16\/5. Put -1\/8, b, 0, -3\/4 in increasing order.\nAnswer: -3\/4, -1\/8, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 50\/4 - (10 + 136\/(-16)). Let r be -5 - -4 - (-26 + a). Solve -3*k + 7 = g, 4*k = -4*g + 6*k + r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 times -30\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 10 = -l. Let z = -7 - -9. Let s(d) = 3*d**l + d**2 - 5*d**z. Let j(r) = -r. Give j(s(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 3) + 13 + 1 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m**4 + 100510*m**3 - 301560*m**2 + 301570*m - 100525 = 0. Calculate m.\nAnswer: -20105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -275092213+-47678\nAnswer: -275139891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17 + 19. Suppose -5*s + 85 = -5*d, 1 = n*s - 4*s - 5*d. Calculate the remainder when 21 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -219*l + 6 = -218*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -49\/230 + 36\/115. Factor o*c**2 - 3\/10*c + 0.\nAnswer: c*(c - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.1 (c) -1\/76 (d) -3 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 825.6 centuries in millennia?\nAnswer: 82.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k + 0*k - 13*k)*(-2*k**4 + 1 - 1) + k**5 - k + 5*k**3 - 6*k**3 + k**5.\nAnswer: 36*k**5 - k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = l - 12, -4*l - 404*m - 30 = -409*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 3. Let p = -2.5 - 2. Let k = p + 4. What is the third smallest value in k, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -146310 - 174?\nAnswer: -146504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 2*v**5\/3 - 2*v**4\/3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 3*d**4 - 641*d**3 + 45144*d**2 - 1010880*d - 2612736 = 0.\nAnswer: -7\/3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1*sqrt(17) - (0 + sqrt(17) + 2)) + (sqrt(425) - -1*sqrt(425)*2)**2 + -4.\nAnswer: -2*sqrt(17) + 3816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -5*l + 25, -3*l = -3*r - 4*l + 5. Suppose 0 = 6*t - r*t - 66. Suppose -12*i + 203 = -t*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10425.220237 - -9208.56064299. Let s = 1224.659594 + f. Let p = s + -8. Round p to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*b**5 + 696*b**4 - 20*b**2 + 180*b - 3?\nAnswer: 540*b**2 + 16704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 308?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -947*o + 5668. Let p be h(6). Put 4, p, 5 in increasing order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14758217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 - 12 + 0 - 8*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 263*z - 4203. What is h(17)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*m**5 - 5388*m**4 + 802803*m**3 + 1078200*m**2 + 270000*m = 0. What is m?\nAnswer: -1, -1\/3, 0, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, -2, 0 in increasing order.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24651 is divided by 3071.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58633.\nAnswer: 17, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 327202 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:59 PM and 10:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26754 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -4*a. Let o be c(-1). What is the greatest common divisor of 16 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 163835 and 148735.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 138*n**4 - 53*n**2 - 2 wrt n.\nAnswer: 3312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/4)\/(6\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 37776648?\nAnswer: 415543128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 - 16*x**2 + 25*x + 602. Let l be v(-15). Let a(k) = 4*k + 10. Let b(c) = 1 - 4 + c - 2*c. What is l*a(f) + 7*b(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -1644*c - 1639*c + 4922*c - 1643*c. Let j(l) = -615*l**2. What is j(n(q))?\nAnswer: -9840*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -5 + 7*h - 14*h - h**2 + 1. Let l(v) = 3*v**2 + 27*v + 15. Let r(n) = -4*l(n) - 15*y(n). What is the second derivative of r(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1336 and 3006?\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1661 + 2893. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 268 + 291 = -k, -2*c = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -1899830.\nAnswer: -2\/949915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(121) - sqrt(121)*1*3 - -2*6*sqrt(121))\/((sqrt(1100) - -5*sqrt(1100)*-1 - sqrt(1100)) + (sqrt(1100) + sqrt(1100)*1)*2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -152063 less than or equal to 6.34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-2 + sqrt(153)))**2 + ((sqrt(17) + sqrt(17) + 1 - sqrt(17)) + 2 + -5)**2.\nAnswer: -16*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/11 (c) 2\/11 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17836 is divided by 4123?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Sort -19, -3, -151, 1 in decreasing order.\nAnswer: 1, -3, -19, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mhmh when four letters picked without replacement from mmhmhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-32)\/(-40))\/(((-36)\/(-50))\/9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j = -5*j - 47082. What is j rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 8*a + 2. Suppose 3*n + 24 = -n. Let r(d) = d**2 + 6*d - 8. Let b be r(n). Let z be p(b). Let v(f) = f**2 - 3*f + 2. Determine v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cxeegeeeectetc. Give prob of picking 2 e and 2 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be 19 - 19 - 1\/(-4). Let i = -5 + 4.4. Let l = i + 0.2. What is the closest to z in 0.1, l, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/25 and -131\/469500.\nAnswer: 469500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (4\/(-16)*6)\/((-3)\/6) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77490 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together -3.5 and 1744.185718.\nAnswer: 1740.685718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 58 + -34. Let u = p + -48. Let x = 23.99999955 + u. What is x rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1100 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/(-24))\/(30\/36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 0 - 1 + 62*d - 67*d. Let v(h) = -4*h. What is 3*v(b) - 2*z(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**2 + 2*h - 4. Let r be 6\/(-21)*(-14)\/8*6. Determine z(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from njjnjjnnnjnn.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3520\/66 + -21)\/((-1)\/(-21)) - -7. Let m = -32 - -130. Calculate the greatest common divisor of a and m.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 + 43*j**2 - 311*j + 51. Determine h(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 - 157*f - 2707. Calculate the remainder when 449 is divided by v(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -45269146 * 0.3\nAnswer: -13580743.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3949643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9 - (4 - 8)) + 155. What is the greatest common divisor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qbquq. What is prob of picking 1 q and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17035 - -25702. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -60 - -60.27. Let p = m + -1. Let s = -0.7299914 - p. What is s rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9003620 rounded to the nearest 10000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -5*f + 2. Let m(s) = -1 - 4*s + 4 - 2*s + s. Let p(o) = 4*a(o) - 3*m(o). Differentiate p(i) with respect to i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*t + 29040 = 7*t. Calculate the remainder when t is divided by 124.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 0, -1, 0.2, 3\/38 in increasing order.\nAnswer: -1, -0.3, 0, 3\/38, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -4, -2, 422, -18, 5, 66 in decreasing order.\nAnswer: 422, 66, 5, -2, -4, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*u - 56 = -5*u. Let y be (396\/(-56) - -7)\/((-1)\/u). What is the closest to 0 in 5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4181574 times 69\nAnswer: 288528606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5*p**2 - 4*p + 8. Let h(k) = 7*k**2 + 6*k - 12. Let f(u) = -2*h(u) - 3*t(u). Let a(x) = -1841*x. Give f(a(b)).\nAnswer: 3389281*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -3.1558 to two decimal places.\nAnswer: -3.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**3 - z**2 + z - 1. Let c be t(2). Suppose 0 = 21*r + 13 - c. Solve r = -w + 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Sort -19, 3, 1866, -2, 1658 in decreasing order.\nAnswer: 1866, 1658, 3, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-313 - -324) + -22 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -512563829 at least as big as -512563830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 22034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 3 (b) -2\/25 (c) -0.03 (d) -7 (e) -3 (f) 307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13.72 - 0.28. Let i = z - -14.7. Let j = -4.0027 - -0.0027. What is the nearest to 1 in 3, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 239, 7, 1 in increasing order.\nAnswer: 1, 7, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -57\/11, 0.8, 2, -4, 122.\nAnswer: -57\/11, -4, -0.2, 0.8, 2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, o: 2, r: 4, c: 1, t: 6, a: 4}. Give prob of sequence tsa.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1454781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29623, 29604, 29553, 29452, 29283, 29028?\nAnswer: 28669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the third derivative of i**4\/24 + 7*i**3\/6 + 2*i**2. Let w be b(-7). Suppose o = -w*o + 33. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 5, q: 2, t: 8}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 42*k + 8*k**2 + 40*k + 42*k - 2 - 127*k as g + i*k**2 + w*k and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of 43*v**5 - 21*v**5 - 26*v**5 - 4*v + 15. Find the first derivative of u(n) wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.223*5.\nAnswer: 6.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2 * 0.10856\nAnswer: -0.21712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-6 - -31) + -44 + 75 + 37\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a**4 + 36*a**3 - 1068*a**2 + 1804*a + 2904 = 0 for a.\nAnswer: -22, -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 500 a factor of 779866000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -494 - -493. Let g(z) = -3*z**2 - 2*z - 3*z**3 - 3 + 5 - 2. Let c be g(f). Solve 3*u + c*u = -15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109979113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 23070885 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -155*q. Let o(j) = 17*j + 30. Let x(s) = 375*s + 675. Let p(y) = -45*o(y) + 2*x(y). What is b(p(a))?\nAnswer: 2325*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40813*m**3 - 40841*m**3 + m - m - 4.\nAnswer: -28*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 77940143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 41 - 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 + 1208*l**2 + 6698*l - 617843. Give m(-1202).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 62719, -3, -15?\nAnswer: 62719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1248 divided by -32.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2*(-1)\/21)\/((-21432)\/(-108) - 200).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 6*v**4 - 12*v**2 + 6*v. Let u(x) = 31*x**4 - 60*x**2 + 29*x. Let t(r) = 11*s(r) - 2*u(r). Factor t(d).\nAnswer: 4*d*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 + 44*k + 308. Calculate a(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.6? (a) 5 (b) 14 (c) -3\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 0*i - 112. Suppose 0 = -303*g + 308*g + 20, 5*g + 1 = -m. Calculate the remainder when i is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (78\/1)\/((1 - -2) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 0.33.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d**4\/7 + 249*d**3\/7 - 807*d**2\/7 + 342*d\/7 = 0.\nAnswer: 0, 1\/2, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 191, 384, 577, 770?\n\"Answer: 193*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = b - 43452, 0 = -4*b + 14*q - 13*q + 173764. List the prime factors of b.\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3*4\/(-8))\/(138\/(-8))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the second derivative of 1\/210*q**5 - 1\/42*q**4 - 2*q + 0 + 1\/21*q**3 - q**2. Let w(z) be the first derivative of m(z). Let w(x) = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 not equal to -191\/2032626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -450 - -516. Let j(p) = 107*p - 8. Let r be j(1). Calculate the greatest common divisor of a and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 divided by 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70) + (sqrt(70)*3 + sqrt(70))*-4)\/(sqrt(160) - ((sqrt(160) - 3*sqrt(160)) + sqrt(160) - sqrt(160))) + 1)**2.\nAnswer: -5*sqrt(7)\/2 + 191\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o + 4. Let f be l(2). Suppose 4*n + 18 = f*v, 4 = 3*v + 2*n + 1. Differentiate -6*p**v + 35*p**2 - 7 - 35*p**2 wrt p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 16 = 4*u, 3*u - c = c + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = 2*i - 2 + 6, -6 = -3*x. Let j(u) = 35*u**3 + 35 - 36*u**3 + 281*u + 0*u**2 + u**2 - 280*u. Give j(i).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/w**8)\/w)\/w**(-2\/9))\/((w**1\/w*w)\/w*w**(-6)) assuming w is positive.\nAnswer: w**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (8\/15)\/(36\/15)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 0.5, -0.1, 1.75 in decreasing order.\nAnswer: 1.75, 1, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4.7 - 5. Let j = -0.2 - s. Let k = -7 + 9. Which is the closest to k? (a) j (b) 2 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -8*a**5\/9 - 4402*a**4\/9 - 5492*a**3\/9 - 122*a**2 = 0. Calculate a.\nAnswer: -549, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 69 - 7. Suppose 4*n + v = 2*k, -4*k - k + 143 = 2*n. Let u = k + -22. What is the highest common factor of 49 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the first derivative of q**2 - 3*q - 2. Suppose -j = -4*z + z + 3, 2*j = 5*z - 4. Determine m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 456, -1, 2, -2, 11, 86 in ascending order.\nAnswer: -2, -1, 2, 11, 86, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.1 - -1. Which is the third smallest value? (a) -5 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 14 and 3.3?\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*t**2 - 269 + 269.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the first derivative of 0*f + 0*f**2 - 12 - 1\/3*f**3. Let y(w) = 9*w. Let o(z) = 3*z. Let q(c) = -7*o(c) + 2*y(c). What is v(q(i))?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.1, -2, 12880?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -642 (base 8) in base 12?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 3*p = 12, -4*h = -4*p - 18 - 14. Solve 19*g - 22*g = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j**2 + 48*j + 361. Calculate c(29).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + 19. Suppose -86 = -11*r - w. What is the remainder when 8 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 2*u + 30 + 10*u + 14*u + 8*u - 21*u + u**2. Let a be l(-3). Solve 3*g - 7 = b + 4*g, a = -5*b + g - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j**3 + 10008871245*j**2 - 10008871245*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19419*o + 6 + 11 + 3 - 19627*o.\nAnswer: -208*o + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/((3*-1)\/(-6)). Is -2 + 21 + x + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/3 + 242\/(-6). Let j = -44 - s. Is (-70)\/2*(-8 - j) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 22*b - 47*b + 24*b - 3*b - 4 as u + d*b and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -2425 (base 9) to base 7\nAnswer: -5156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 62 - 37. Solve 0 = 6*y - y + l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -232*m**2 - 2657*m - 3353. Calculate w(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -3*g + 2*q, 9*g - 10*g - 5*q = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -270.15 * 9.\nAnswer: -2431.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -21 (base 6) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 115*u. Let j be i(-1). Let n = 88239 - 793114\/9. Let h = j + n. Which is the closest to h? (a) 3 (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (15066\/261144)\/((-54)\/13)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9880 and 120.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2768 + -1486. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 3*g - 32 = 0. Let w be (-8)\/5 + g\/(-20). Let o = -15.7 + 16. What is the second smallest value in w, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j + 55*j - 22*j)*(-240*j**2 + 44*j**3 + 240*j**2).\nAnswer: 1584*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/28)\/(6\/(-7048)). Let a be (-11)\/6*(-39 + -7). Let q = a + b. Put 2, -2, q in decreasing order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33883856.8 rounded to the nearest 10000?\nAnswer: 33880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1 + 1 + 0 - (-2000)\/(-2380). Let k = b + -10\/17. Let z(o) = o**2 - 9*o - 1. Let m be z(8). Put k, 0.1, m in ascending order.\nAnswer: m, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of d**4\/12 - d**2\/2 + 2*d. Let r(a) be the first derivative of m(a). Let t(w) = -w**2 - 3*w**2 + 3*w**2. Calculate t(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6490 or 2251?\nAnswer: 6490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8383210 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 33 divided by -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**3 + 11882*c**2 - 17641798*c - 17653682.\nAnswer: -2*(c - 2971)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4069, 4091, 4137, 4219, 4349?\nAnswer: 4539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 3*t - 403 + 34, 3*f = 4*t - 499. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6569953031\/1015 + 6472861. Let u = j + -2\/145. Factor -8\/7*a + u*a**2 + 2\/7.\nAnswer: 2*(a - 1)*(3*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of 3371*v**5\/5 - 1907*v - 823. Find the first derivative of w(o) wrt o.\nAnswer: 13484*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((110\/(-605))\/(20\/(-1276)))\/((10\/25)\/(-1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (83259\/(-638))\/(7\/((-14)\/18)).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111398565 + 17*n**2 - 19*n**2 + 111398565.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 277*b**2 + 461*b**2 + 43*b + 43*b + 10 - 77*b. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5.915 - -6.215. Which is the closest to 2\/7? (a) -1 (b) r (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 4*x**2 + 119*x - 30. Let d be i(-30). Suppose 5*k = 2*m + 45 - 1, -k = 5*m + 2. Suppose -2*n + k = -3*n. Sort n, 2, -5, d in decreasing order.\nAnswer: 2, d, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -360725 divided by -5.\nAnswer: 72145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.128*-242.\nAnswer: 30.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 739203?\nAnswer: 3, 79, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6150312 + 129080081\/21. Let d = 3639 + z. What is the common denominator of -17\/6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 33811.73 years to centuries.\nAnswer: 338.1173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 + 4)*(3 - 4430\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/190058 and 103\/212?\nAnswer: 380116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*y**2 + 103 + 134 + 2*y**2.\nAnswer: 2*y**2 + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*p - 123843 = -20*p + 2*o, -o = -p + 123836. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 1. Let l be ((-256)\/4480)\/((-30)\/14). Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of -r**6\/120 - r**5\/60 - r**3\/6 + 5*r**2. Let x be (-34)\/(-3) - 12\/36. Suppose 17 = -x*h - 5. Determine n(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12*m + 27*m + 27*m + 893 + 24*m - 63*m)*(2 + 1 - 1) to the form d + t*m and give d.\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2))**(-7\/3)\/(p**0\/p)**(-2\/23))**(-38) assuming p is positive.\nAnswer: p**(-12008\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.0178 - -20.9822. Let n be (-3)\/15*(-20)\/(-24). What is the biggest value in 0.1, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.6 - 1.4. Let q = -2.5 - z. Let n = 108.4 + -109.4. Which is the biggest value? (a) n (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7051789 is divided by 849?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-15)\/20 + (-1)\/4. Let l = k - -12. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 + 5. Let x = q - 2. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3378 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109*g = -113*g - 16. What is the smallest common multiple of 16 and (-6)\/(3*g\/6) - 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 y when four letters picked without replacement from ccvrvvyrrry.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -39 (b) 0.08 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 19885357 to the power of 1\/2, to the nearest integer?\nAnswer: 4459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -1\/8 (b) 2848.23 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2*s + 1)*(3 + 3 - 1)*(-4*s - 4*s + 0*s)*(-8 + 3 + 3).\nAnswer: 160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 30 = 6*y. Calculate the greatest common divisor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -15933 (b) 3 (c) -10\/7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 5*n - p + 37 = 0, 3*n = 3*p - 15. Is 266\/8 + 2\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8169660019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(1\/15)*c*c*c**(1\/28)\/c*c*(c*c**(2\/41)*c)**(4\/11))**34 assuming c is positive.\nAnswer: c**(12389141\/94710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 63 and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -24 - z**2 + 9 + 3*z + 13. Give g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18928 = -1140*x + 21705 - 8401 + 21348 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 9*g**2. Let s(f) = -85*f**2. What is s(z(w))?\nAnswer: -6885*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/30)\/(4\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 65, -3, 0.5, 2\/9, -0.18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 844312 divided by 11?\nAnswer: 844312\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 45.44 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 597\/5 - 119. Let q = -0.06 - -5.06. Which is the nearest to -2\/5? (a) y (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*a**3 + 5475922 + 0*a - 5475924 + a - 101*a**2 + 2*a as z*a**3 + b*a + j*a**2 + h and give j.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 + 9*r**2 - 11*r + 11. Let k = -24 + 32. Give g(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(204)\/(sqrt(60)\/sqrt(5)) + 1.\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.013519 times -603\nAnswer: -8.151957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 7*v**3 - v**2 - v - 1. Let m be o(-1). Put 4, -1, m in ascending order.\nAnswer: m, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bibb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**4 + h**2 - h. Let b(v) = 96*v**4 - 3*v**2 + 2*v - 464. Let r(f) = -b(f) - 2*y(f). What is the first derivative of r(g) wrt g?\nAnswer: -392*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of 17*w + 0*w**2 + 0 + 1\/12*w**4 + 0*w**3. Let z(m) = 1 - 1 - 4*m. Give g(z(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -435959158 divided by 9477373.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (14\/5)\/((-1)\/(-15)). Let n(q) = 14*q - 49. Let o(a) = 17*a - 114. Let t be o(7). Let s be n(t). Calculate the greatest common factor of h and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20 - -22. Suppose 5*x = w - 6*w + 345, b*x - 2*w = 150. What is the remainder when x is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, p: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 151431 (base 7) to base 11\nAnswer: 20083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 77 - 156. Let y = g + 86. Calculate the remainder when 19 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**3 - 2172*k**2 + 4332*k - 2164.\nAnswer: 4*(k - 541)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 75 and 2878275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vrqlqrrrxttlqqq. What is prob of picking 2 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 - 8*g. Let o be d(8). Let w be (20 - 3) + o + -3. Suppose 2*x = -w + 42. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 7 + 4)*(0 + 2 - 4)*(-3*n**2 - 51*n**2 + 5*n**2).\nAnswer: -686*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 319270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 220 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v**2 + 6*v. Let w(z) = -z**2 - 5*z. Let h(s) = 0*s**2 - s + s**2 + 0*s. Let q be h(3). What is q*w(d) + 5*c(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 3 - (-16 + 17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17 - 105*v + 12 + 2)*(4*v - 5*v - v) to the form f*v**2 + c*v + t and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/125*5*-15)\/((-6)\/(-20)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-344 - -352) + 3 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/121, 0, 57.2, 0.2?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 + 0 + (10 - -14 - 34).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (1 - (1 + 10)) + 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 37 + -31. Let a(o) = 25*o**4 - 7*o**3 + 7*o**2 + 58. Let m(x) = 26*x**4 - 6*x**3 + 6*x**2 + 57. Let s(d) = h*a(d) - 7*m(d). Differentiate s(i) wrt i.\nAnswer: -128*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d. Suppose -26*z + 56 = -22*z. Suppose -2*y = -3*y. Let i(t) = y*t + 0*t + t. Calculate z*i(b) - 6*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 - 3*b**2 + 23*b - 37. Let f be p(2). Suppose 0 = -4*r + 3*o + 9 + 11, 26 = 3*r - 5*o. Sort -17, r, f in increasing order.\nAnswer: -17, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1128848970?\nAnswer: 2, 3, 5, 23, 83, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1815 = -13*l + 7119. Let c = l - 362. Calculate the remainder when 52 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -22\/303, -3\/8, 2.1 in descending order.\nAnswer: 2.1, -22\/303, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 40974 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.03 and -0.399?\nAnswer: -0.01197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(605))**2 - (1 + -1 + sqrt(5))**2.\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (2\/8)\/(31\/(-2852))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1170737 is divided by 387398.\nAnswer: 8543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3408, 2349, -522, -6111, -15324, -29067, -48246, -73767?\n\"Answer: -151*x**3 - 2*x + 3561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -v**3\/7 - 73779*v**2\/7 - 1360650744*v\/7 + 6805098320\/7 = 0. What is v?\nAnswer: -36892, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pdt when three letters picked without replacement from {x: 1, t: 1, d: 3, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gz when two letters picked without replacement from gggmzgzaaggamzaaggz?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 143 = -4*c + 306, 2*c - o - 227 = 0. Let k = c + 24. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2773374545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.39 (b) -7 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.02, -74, -0.1?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 11:31 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -3333 (base 4) to base 15.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 AM and 5:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -c**5 - 17*c**4 - 90*c**3 - 108*c**2 + 216*c = 0 for c.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78)*-2)\/sqrt(6) + sqrt(65)\/sqrt(5)*-5 + (sqrt(91) + -2*sqrt(91)*-3)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 149, -1.\nAnswer: -2, -1, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 + -266052?\nAnswer: -266045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4606597.\nAnswer: 4606597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 573594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + 0 - 4*d + 1)*((30 + 29 - 31)*(-1 + 1 + 2) + (7 - 2 - 2)*(0 + 1 - 4)).\nAnswer: -94*d + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/((-3)\/(-27)*3). Let v be -4*-1*5\/5. Let f be v*(0 + 1) + (12 - 11). Put n, 2, f in ascending order.\nAnswer: n, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4481598 nanograms to tonnes.\nAnswer: 0.0000000000000004481598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 PM and 2:07 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -6.8, -2\/11, 2\/9, 5 in ascending order.\nAnswer: -6.8, -2\/11, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 194 + -192. Factor 86*r**3 + 5*r**4 + b*r**5 - 7*r**5 + 87*r**3 - 163*r**3.\nAnswer: -5*r**3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 91 = 65. Solve -3*v - b = -4*d - v, -2*v + 19 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 27*s**2 + s - 2. Let p(z) = -z**3 - 99*z**2 - 10*z - 6. Let w(y) = -4*k(y) - p(y). Determine w(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, z: 9}. Give prob of sequence vz.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7024*p**2 - 7024*p**2 - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 8792079 to the power of 1\/2, to the nearest integer?\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2827 + -0.2827. What is the biggest value in -2, -4\/227, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -32, -63, -94, -125, -156, -187?\n\"Answer: -31*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (152\/198132*79)\/((-3)\/(-63)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -203.0748 + 203. Round t to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 51042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2000002111 + -12?\nAnswer: -2000002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 380414 + 115086 = 3*f, 0 = -g + 3*f + 247777. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**2\/2 + 1050*w - 183750.\nAnswer: -3*(w - 350)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*o + 1248 = 17*o - 38*o for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4122.1 take away -22223318.68?\nAnswer: 22219196.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 3. Let o(y) = 34*y + 222. Let u be o(-13). Let q be ((-132)\/u)\/((-3)\/10). Which is the biggest value? (a) i (b) -1\/2 (c) q (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 31*q + 6. Let m be u(6). Suppose 7*n + m = 4*n. Let i = n - -94. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 3*m. Let q(b) = -897*b**2 - 336*b. Calculate q(h(d)).\nAnswer: -8073*d**2 - 1008*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -0.17, 1, 3, -304, 18 in ascending order.\nAnswer: -304, -0.17, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1591, -13190, -44747, -106246, -207671, -359006, -570235?\nAnswer: -851342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -18*y + 4. Let l(c) = -35*c + 7. Let b(a) = -4*l(a) + 7*r(a). Let o be b(1). Let x = -7 + o. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -32*m - 7*m + 429. Solve -23 = m*z + 43 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u**2 - 3*u**2 + 4549 - 4523)*(-3*u**2 + u**2 + 4*u**2).\nAnswer: -2*u**4 + 52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.1, 5, -0.1, -0.106, -42\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 38041 to the nearest one hundred.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -286 divided by -2.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -513, -829, -1145, -1461?\n\"Answer: -316*u - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 4*s - 5, -7 = s + 2*q - 18. Suppose 0 = -3*k, -s*x - 3*k = -0*k - 10. Solve -2 = -x*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-27)*(-130)\/26.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 399.261 - -3.539. What is z rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the second derivative of -7*n**3\/3 + 3*n. Let s be m(-3). Let d = 78 - s. Solve -r + 24 = -5*z, 5*z = 5*r - r - d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 108978.\nAnswer: 2, 3, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 5 = 2*z, 6 = -2*z + 4*p - 16. Which is smaller: z or -11\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o**3\/4 + 33930*o**2 + 67857*o = 0. What is o?\nAnswer: -45238, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 361*v = 397*v + 593 - 4805. What is the lowest common multiple of v and 819?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 11053876?\nAnswer: -5\/11053876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10074.\nAnswer: 2, 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - (8 - 2)) + 0 - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 + 3\/1 - 0. Let k(o) = 5*o**2 - 3*o - 2. Let p be k(t). Suppose -15*m - 66 = -18*m. What is the greatest common divisor of m and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = z + 3, -3*b - 11*z = -13*z - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5343032 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3 or -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*z\/(z\/(z*z**(1\/7)))))\/(z\/z**(-2\/13))*z**(-11\/4)*z**(-1\/4)*z)**50)**39 assuming z is positive.\nAnswer: z**(-58650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1103, -4359, -9783, -17375, -27135, -39063, -53159?\nAnswer: -69423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 22*m**3 + 32*m**2 - 119*m - 8. Let g be a(4). Put 3, g, -2 in decreasing order.\nAnswer: g, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-22)*1*2. Suppose 0 = -0*f + f - 1. Suppose -33*h - 1510 = -1642. What is the nearest to f in -3\/4, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(1\/6))**(-31)*i**8\/i*i*i*((i\/i**7)\/i)\/i assuming i is positive.\nAnswer: i**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away -74731?\nAnswer: 74730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 + 2*x**2 - 2*x + 1. Let u(k) = k**2 + 12*k + 12. Let y be u(-11). Let i be v(y). Suppose i*n - 71 = 5. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/230 and 67\/27315?\nAnswer: 1256490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.06 or -0.25638?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 830 + 247. Let k = -256 + w. List the prime factors of k.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22049290 a multiple of 2074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -204 = -5*o - 2*b, 0 = 5*o + 5*b - 171 - 24. Let u = 51 + o. Let m = u - 63. What is the greatest common divisor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 + 75*y**2 - 465*y - 3. Give f(6).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 1 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 4*i**3 - 2*i**2 + 4*i - 4. Let k be b(2). Suppose 41*n = 45*n - k. Suppose -n*j + 29 = -6. Solve -2*c + 3 = -j*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 3*u + 20 = -u, 0 = 5*y + 5*u + 25. Suppose -4*p = i + 3*i, 4 = 5*p + 3*i. Let h(j) = -p*j + y*j + 0*j + j. Let c(o) = 2*o. Determine h(c(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 3*h**2. Let n(p) be the second derivative of 0*p**3 + 15*p - 14\/3*p**4 + 1 + 0*p**2. What is n(a(g))?\nAnswer: -504*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: -8772641978.4 - -27\nAnswer: -8772641951.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -4*v**5 - 676*v**4 - 23996*v**3 - 251324*v**2 - 228000*v = 0.\nAnswer: -125, -24, -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 691\/2, -2\/7, -54, -17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 3*i**3 - 21*i**2 + 44*i + 27. Let q be m(12). Suppose 3*z = 888 + q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 390365, 390359, 390353, 390347, 390341?\n\"Answer: -6*q + 390371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -5. Suppose 2*o = 5*g - 7, -5*o - g - g + 55 = x. Suppose -2*k + 3*k - o = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1347966366.\nAnswer: 2, 3, 31, 1721, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -551044?\nAnswer: 551042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 600 and 26256900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-610)\/(-15) - 3\/(-9) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.0375 or -41257?\nAnswer: -41257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 2*c**3 + 14*c**2 + 194*c + 920. Let f be w(-5). Do 8 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the third derivative of -o**6\/135 - 7*o**5\/90 - 13*o**4\/54 - 302*o**2 + 4. Factor c(m).\nAnswer: -2*m*(m + 2)*(4*m + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 2*b**2 - 6*b + 4. Let v be i(3). Suppose 0 = -2*y + y - 4*w, 4*w - 12 = -v*y. Is 21\/140*y + 10864\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.6 + -86.4. Let j = 82.8 + b. Let z = -5.22 - j. What is the third biggest value in z, 4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -91.7 from 33.\nAnswer: 124.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/6*-3*7\/(-98)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - ((-248)\/20 + 7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is (648700\/(-8) + -2)*1*(0 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0721 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 69*q**2 + 68*q - 2. What is v(68)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = 2*z - 7*z. Let l = z - 8. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((9\/6)\/(10\/(-10)*-6))\/(45\/(-12))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/12331 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/7, 0.1, 271982, -1\/3 in descending order.\nAnswer: 271982, 1\/7, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) 56 (c) 25\/41 (d) -16 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.5, -2, -2\/7, -1\/6, 27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 10 = 2*h + 9*j, -2*j = 3*h - 11. Let c(f) = -6*f - 1. Determine c(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -335360 divided by 40?\nAnswer: -8384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from ndi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3373 (base 15) in base 10?\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + 18. Suppose 0*l + t = 4*o + l, 3*o = -5*l - 3. What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -5 + -10 - (1 - 4). Let k be (-46199)\/(-6) + (-2)\/s. Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 596*x**4 + 3*x + 119 wrt x.\nAnswer: 7152*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 26 - 6. What is the least common multiple of 16 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to -1\/190397389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(1\/63))**27\/(s**(2\/11))**(2\/21) assuming s is positive.\nAnswer: s**(6134\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*o + 8458 = 8333. Let f(z) be the first derivative of -3\/2*z**2 - 15*z + 3\/4*z**4 + o*z**3 - 31. Suppose f(c) = 0. Calculate c.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -558 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**3 + 6*h**2 + 5. Let v be f(6). Suppose -4*j - 11 = 3*s + 6, s = -v*j - 24. Let b = 3 + -2. Is s < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9.808 - -9.8. Round z to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 628 + -623. Let j(x) = x**2 - 5*x - 6. Let z be j(6). Suppose -26*l + 27*l + 1 = z. Sort 1, f, 3, l.\nAnswer: l, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2916, -3, 5, -1\/3, 2 in decreasing order.\nAnswer: 2916, 5, 2, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 10:19 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 52643 >= 52648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**4*q\/((q\/q**8)\/q*q*q))**38*(q**6*q**2*q)\/(q**(-1\/4)*q\/(q*q**(2\/3)\/q*q*q)) assuming q is positive.\nAnswer: q**(5147\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*z = 15 - 7 + 14. Solve 0 = 4*h + s + 1, 0 = h - 4*h - s - z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of -n**4\/24 + 5*n**3\/3 - n**2. Let y(s) = s**3 - 8*s**2 + 7*s + 12. What is the smallest common multiple of r(5) and y(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -3*o**2. Let y(i) be the third derivative of -i**8\/20160 - i**6\/720 - 14*i**5\/5 + 143*i**2. Let q(z) be the third derivative of y(z). Give q(b(x)).\nAnswer: -9*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -10*w + 5. Let r(n) = n**3 - 10*n**2 - 13*n + 128. Let y be r(10). Determine l(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 16\/393?\nAnswer: 16\/393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 158255\/(-2042)*(-4)\/(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3074833091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8865965 is divided by 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001813 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 - 1)\/(-2) + (-6)\/(-12). What is the second biggest value in 6\/11, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35447 is divided by 11784.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 332434903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (((-10)\/65)\/(-2))\/((-66)\/(-132))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u - 4*u + 4*u + (1 - 5 + 1)*(-4*u + 4*u - 3*u) - 10 - 6 - 4*u + 13.\nAnswer: 7*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -660544610 and 0.0758?\nAnswer: 660544610.0758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 - o - 1. Let y(b) = 29*b**2 - 6*b - 3. Give -3*q(t) + y(t).\nAnswer: 26*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 6 = -4*g, -5*g + 30 = 6*i - i. Let w be i\/15*1*15. Suppose -2 = 2*h - w. Solve 5*a - t = h*t, -t = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*t**2\/4 + 24633*t\/4 + 6159.\nAnswer: -3*(t - 8212)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -81 divided by -81\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*h**2 - 181323 + 181322 - 363*h - 53*h to s + i*h**2 + y*h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 56509792043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-235*d**3 + 393*d**3 - 202*d**3)*(4 - 1 - 6) to q*d**2 + v*d**3 + a + j*d and give v.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12? (a) -54.218 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/11)\/((-784)\/7546)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r - 6 + 62 = 0. Let c be ((-8)\/6)\/((-20)\/15)*r. Suppose c*n = 5*n + 10. Calculate the highest common factor of 80 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -d**5\/60 + d**4\/24 + d**3\/2 - 75*d**2\/2 - 105*d. Let a(b) be the first derivative of l(b). Determine a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 10:35 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 28947083 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 - -5 - 6)*14\/(-112). Let g(w) be the second derivative of 1\/8*w**3 + u*w**2 - 14*w - 1\/48*w**4 + 0. Suppose g(z) = 0. Calculate z.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.316996548 - 0.317. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 3*r**2 + r - 5. Let p(b) = 2*b**2 + b. Let h(j) = 5*p(j) - y(j). What is the remainder when h(-3) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 92 and 1630424?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n**3 + 1656*n**2 - 48320*n - 220032 = 0. What is n?\nAnswer: -4, 36, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*g = 3*g + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 + (-1 - -6) + 77 + -78 + -65.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.4 and 253.\nAnswer: 607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o**(-3\/4)*o)\/o)\/o*o*o**6)\/(o**(-4)\/o**(2\/3)) assuming o is positive.\nAnswer: o**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -262 - 469 + 68 + 261*h**2.\nAnswer: 261*h**2 - 663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 31*x**2 + 3*x. Let p(b) = 310*b**2 + 31*b. What is -3*p(k) + 31*u(k)?\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 3*w = -2*q - 14249, -5*q = -w - 17814. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 30*a - 156. Let d be r(11). Differentiate d + 5*z**2 + 31 - 32 + 2*z + 45 + 16*z**2 wrt z.\nAnswer: 42*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 - 3*j + 11. What is a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -47 (b) -3.84 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, -87.\nAnswer: -87, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.7161373 tonnes?\nAnswer: 716137300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.21 + -0.24. Is n bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 42411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = v - 21, 4*v + 1 = 5*v + b. Sort -786, v, -2 in descending order.\nAnswer: v, -2, -786","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(-4\/11))\/p)\/(p\/p**(8\/5))*((p*p**(-2\/9))\/p)\/(p**(-4\/7)\/p) assuming p is positive.\nAnswer: p**(8014\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d + 10 + 0*d - d. Is p(-7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - -1) + 3 + -1. Let r be 10\/(-5)*(3 - 4). What is the third derivative of -5*v**2 - r*v**3 - 3*v**3 - 3*v**y wrt v?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -7487 - -3537?\nAnswer: -3850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (7 - (2 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*i**3 - 3948*i**2 + 0*i**3 - 2051*i**2 + 7*i**3.\nAnswer: 2*i**3 - 5999*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 5, -210, 2.9 in increasing order.\nAnswer: -210, -0.5, 2.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0012525 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 45*b**2 + 189*b + 102. List the prime factors of q(-38).\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let z(t) = -2*t**2 - 28*t + 2. Let u be z(-14). Suppose 3*v + u*v + 27 = 4*d, -5*d + 6 = 3*v. Suppose 2*i - d*l = 5423 + 11207, -4*i + 33260 = -5*l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 12, -13, -3, -5 in descending order.\nAnswer: 12, 0, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1552 divided by -97\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 46 - (-75 - -81 - -10)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 - (-1653 + (3 - 8)). Let b be -3 - ((-4)\/(-24) + f\/(-12)). Suppose x = -0*x + 4*d + b, -314 = -2*x - 3*d. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 - (7 + (650\/(-5))\/13 + 10 + 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93214.\nAnswer: 2, 11, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**2. Let r(q) be the third derivative of 29*q**5\/30 - 45*q**2. Give r(x(d)).\nAnswer: 232*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 5586.195 milligrams to grams.\nAnswer: 5.586195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 7 (b) 2.5 (c) -3 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 85473.65 days in seconds?\nAnswer: 7384923360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 2*a - 6, -2*w = -7*w - a - 3. Suppose 0 = 12*m - 189 - 387. Let h = -43 + m. Sort -2, 6, h, w in decreasing order.\nAnswer: 6, h, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16 - 12. Let n(l) be the second derivative of 0*l**3 - l - 1\/6*l**o + 0*l**2 + 0. Let x(t) = -t**2. Give x(n(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 - 41*m + 20*m + 22*m)*(-m + 3*m - m).\nAnswer: m**2 - 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (13*r - 129*r - 9*r + (-r - 1 + 1)*(4 - 5 + 0))*(-2 + 3 - 2)*(-6*r + 0*r + 2*r)*(-2 + 4 - 3) to the form v*r + i*r**2 + h and give i.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 + (-12 - 16 - -27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 66939\/10 - 6688. Find the common denominator of -39\/14 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 160 = 3*k, -2*u + 90 = k + k. Let n be 195\/(-6)*(-8)\/k. Suppose -24\/5*f - 8\/5 - 2\/5*f**4 - 12\/5*f**3 - n*f**2 = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0.17274, 0 in decreasing order.\nAnswer: 0.17274, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 2*k**2 + 2*k + 3. Let v be j(-1). Suppose -2*d = -r - 17, -23 = v*r - 2*r - 4*d. Let w be (r\/3)\/(1\/(-3)). Solve -1 = -5*x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32, 28, 12, -22, -80?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h + 3*h = 4*m + 9, -6 = 3*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3368*-1.164.\nAnswer: -3920.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -111*x**3 + x**2 + 5*x + 8. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 442113 - 442107.95798. Let d = o - 9.8405. Let a = 4.8 + d. What is a rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2 - 5*z - 21. Let f be k(-6). Let s = -48 + f. Let l = -0.114 - 0.086. What is the second biggest value in s, 3\/8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 37 or 320\/9?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 + m**2 + 15*m + 1. Let w(o) = -3*o**3 - 3*o**2 + 24*o - 10. Let q(i) = w(i) - 2*x(i). Determine q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 5*w - 160, -3*q - 110 = -q - 4*w. What is the common denominator of (206\/(-16))\/((-3)\/4) and (738\/q)\/((-8)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 395325 and 7875?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73630 is divided by 36620?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 214\/(-2568) - 94\/(-552).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/(-14) + ((-19)\/7 - -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 939195*z. Let c(f) = f. What is h(c(j))?\nAnswer: 939195*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3483, 3481, 3463, 3417, 3331, 3193?\n\"Answer: -2*d**3 + 4*d**2 + 3481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -13 + (7 - 38 - -13) + 7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/13 (b) 2 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -46*l**3 + 276*l**2 - 231709*l wrt l?\nAnswer: -276*l + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -15*s**3 + 11 + 13*s**3 + 125 + s**2 + 34 in the form j*s**2 + r*s**3 + m*s + n and give n.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/11)*s*s)**(2\/97)*s**(8\/7)*s*s**(-1\/8)\/s)**16 assuming s is positive.\nAnswer: s**(127014\/7469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 155?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3\/4, 39, -14, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.3, 1\/2, 0.3, -11, -166?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3485 = 8*x + 389. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**15*z*z*z**20 assuming z is positive.\nAnswer: z**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/5 (c) -0.02 (d) 0.5 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 7*h - 20 = -3*h, 7 = -l - 3*h. Let x = -16 - l. Which is greater: -1\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {i: 3, y: 1, k: 1, q: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2079 and 808457265.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 14513, 14511, 14509, 14507?\n\"Answer: -2*t + 14515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 6, c: 3, z: 5, d: 1}. What is prob of sequence ddcd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes before 6:36 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 18 times -1155.288\nAnswer: -20795.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5694894872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -88\/147 and -61\/34608.\nAnswer: 242256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 165, 445, 759, 1125, 1561?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (21\/70*24\/(-306))\/((-3)\/15)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13 - 22)\/7*1377\/(-255).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 171810123 by 3153.\nAnswer: 54491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/96 and -79\/37644.\nAnswer: 301152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = q + 2*v + 4, 4*q + v = -20. Let z be (-1)\/9*(-4047 + q). Let m = z - 451. Find the common denominator of m and -61\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/1258 and 14\/4033?\nAnswer: 137122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 11683, 22891, 34113, 45355, 56623, 67923?\n\"Answer: s**3 + s**2 + 11198*s + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v**2 - 2*v - 21. Let f be c(5). Suppose 42*u - 57*u = -45. Suppose -3*o + 5 = q, 5*q - 5*o + 22 = -13. Put -1, u, q, f in increasing order.\nAnswer: f, q, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ykysysskyzssssskzsk. What is prob of sequence yyz?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*c**5 + 176 + 7*c**5 - 172 + (-3*c**3 + 5*c**3 + 0*c**3)*(c + 0*c - 2*c)*(-3 + 3 - c).\nAnswer: 12*c**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-4)*(-2)\/5*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 - 0\/((-2)\/(-2)). Suppose -f*d + 4*o = -3920, 5*o + 1039 - 59 = d. Round d to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 31 = -3*c + 2, 4*w = -2*c - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 - -3. Let k(u) = -2*u - 2*u + r*u. Let a(j) = 4*j + 0*j - 3*j. Give a(k(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5596588 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 7, n: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53253.\nAnswer: 3, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1825 a factor of 2582618340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 597276509 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -11, -6, -5, -8?\n\"Answer: -2*a**2 + 11*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4314777633 minus 0.09?\nAnswer: 4314777632.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**3 - 29*h**2 - 72*h - 1309. Calculate f(-25).\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-32)\/6*9\/(-2). Suppose -2*r - 42 = -i, 3 = i + r - o. Suppose 0 = 4*n - i + 4. What is the remainder when 26 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*n + 2 + 5*n + 0*n)*(-2*n - 4*n + 2*n) - 12*n**2 - 17*n + 17*n - n**2 + 2*n**2 + n**2 to the form s*n**2 + k + r*n and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 4*w - 2, -4*f + 5*f + 2*w + 21 = 0. Let o be 32\/3 + 2\/6. Let r = f + o. Solve r*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -302*m - 138. Let x(p) = -101*p - 46. Let d(v) = 6*n(v) - 17*x(v). Let l be d(12). Let r = -333 - l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8424 and 3744?\nAnswer: 33696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1788005202 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i*i*i**1)*i)**(3\/8)\/(i**(-6)\/i**(3\/2)) assuming i is positive.\nAnswer: i**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4\/221?\nAnswer: -4\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 880 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -157*m + 72*m - m**2 + 85*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j**(2\/7))**(-4\/5)\/(j**1\/j)**(-3\/28)*(j\/j**(-3\/2))\/j*j\/(j*j\/(j\/j**(-5)))*((j*j\/j**(-3\/2))\/j)\/(j*j\/j**(-5\/2)*j) assuming j is positive.\nAnswer: j**(117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6\/(-51) + 33880\/136.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 251007 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7762 + 1089950131?\nAnswer: 1089950131.7762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, q: 2, j: 6, c: 1, u: 3, n: 4}. What is prob of sequence jcq?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 10933 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -456, -1810, -4074, -7254, -11356, -16386, -22350?\nAnswer: -29254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/(-3) + (-4)\/6. Let b(s) = 1947*s - 979*s + 1 - 964*s + 3. Let n(p) = 5*p + 5. Determine i*n(v) - 3*b(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x. Let s(z) = 191*z + 6. Determine t(s(v)).\nAnswer: -191*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 559 - -1?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 5*m - 19. Factor 18*j**m + 33*j**3 - 5*j**3 - 26*j**2.\nAnswer: 4*j**2*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 110, 815, 2654, 6155, 11846, 20255?\n\"Answer: 88*q**3 + 39*q**2 - 28*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 + 2. Let y = -23 + 43. What is the smallest common multiple of (y\/(-35))\/(4\/(-14)) and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4244*z + 4240*z = 4*b, -4*z - 2*b = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(70)\/(sqrt(20)\/(sqrt(2) + sqrt(8)))*6.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2431917 to the power of 1\/2, to the nearest integer?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 8, -5, 4, -0.02, -2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -20 in 14\/13, 3\/2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 12, 6*z = 4*z - 2*b + 82. What is the remainder when 154 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 24, 59, 126, 237, 404, 639?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -36.3 + 36. Let u(v) = v - 8. Let s be u(7). Which is the closest to s? (a) -5 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 5 + 1 = -3*u, 3*u = -6. Let r = 1 - j. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 AM and 3:53 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2453 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: Calculate the common denominator of 9\/347 and 3\/11.\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 128*c**4 + 2*c - 143*c**4 - 2*c - 16 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -893479 > -893482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 174 + 2919 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the first derivative of -g**3\/3 - g**2\/2 - g - 122. Suppose 0 = j - 2 - 0. Suppose -j*m + 4 = -0*m. Determine c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3796247.\nAnswer: 7, 13, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 172767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s - 13. Let t be j(-8). Let m(b) = -7*b**2 + 5*b + 4. Let p(w) = 0*w + 3*w + 1 - w - 3*w**2 + 1. Calculate t*p(h) + 2*m(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -10868588 by -6.\nAnswer: 5434294\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 - -27. Suppose 30 = q*c + 2*c. Suppose -c*u = -0*u - 260. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -782479 + 10?\nAnswer: -782469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tylt when four letters picked without replacement from yttkktltlkyt?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -14218 divided by 1\nAnswer: -14218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 29713 and 20291.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 502928 by 22.\nAnswer: 251464\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -47 + 44. Let a be (-1)\/(t\/4)*9. What is b in -8*b**5 - 3 + a*b**5 - 6*b**2 + 3*b**4 + 6*b**4 - 9*b + 6*b**3 - b**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*q + 21*q - 180 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the second derivative of -n**3\/2 - 3*n**2\/2 + n. Let t be p(-2). Solve b - t - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -0.064, 24.21, 4 in ascending order.\nAnswer: -0.064, 2\/9, 4, 24.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -50 + (-25 - (-48 + -6))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 9*p**2 + 12*p + 3. Let l be q(10). Let a be 2 - 0 - (-2 - -2). Solve -l = -5*w + a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of 1\/2*p**2 - 1 + 0*p. Let m(o) = -o - 1. Let w be (-1)\/(-1)*3\/3. What is w*m(c) + 2*r(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(190) - sqrt(190)*1 - sqrt(190) - sqrt(190)) + sqrt(190))\/sqrt(10) + ((sqrt(475) + sqrt(19))*1)**2.\nAnswer: -sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 AM and 10:17 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**2 - 17*l**4 + 2*l - 20*l**4 - 2 + 27*l**4 in the form p*l**3 + g*l**4 + k*l + f + d*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((-1)\/(-6*(-11)\/((-231)\/14)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -58\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9601\/55320 + 2\/1383. Let t = l - -569\/120. What is the common denominator of -117\/10 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -113.9 and 3829575.547?\nAnswer: 3829689.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (0 - (-8 + -2)) + 23 + -31 + -35.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -7*p**2 + 4 + p**3 - 4*p**2 - 5*p**2. Let k be v(16). Solve -h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 AM and 12:06 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8*f*h**2*k*p + 7*f*h*k**3*p + 3*h**2*k**2*p + h**2 - 14*k**3 wrt f.\nAnswer: -8*h**2*k*p + 7*h*k**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 AM and 2:43 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**3 + 8*w**2 + 6*w - 5. Let z be b(-7). Suppose -z*v = -6 - 0. Suppose 59 = v*u - 67. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -34*(-21)\/54 - 1. Let w = g + -12. Factor -w*q**2 + 0 + 0*q.\nAnswer: -2*q**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 26.534 in -1, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(704)*1)**2*-1*5.\nAnswer: -3524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 37*x**2 + 130*x + 112. Give a(-4).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 437 and 13034?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4695302 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -67 + -2 + (-824 - -791)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*t**5 - 2*t**4 + 720*t**3 + 43*t**2 - 2*t - 40.\nAnswer: -120*t**2 - 48*t + 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h**3 + 22*h**2 + 66457*h - 66457*h.\nAnswer: 3*h**3 + 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)\/(sqrt(48)\/sqrt(4)) + 5*1*sqrt(17) + sqrt(612)*-1*-4*-3)**2.\nAnswer: 74052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2957*g + 4025*g + 1068 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.8 - 0.4. Let u = -27.2 + h. Let j = -28 - u. Round j to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttttttttvtttttttt. What is prob of picking 1 t and 1 v?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 2473 and -0.03.\nAnswer: -74.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -29 + 31. Suppose 5*b = 4*z - 0*z + 9, 5*b - 37 = -3*z. Let w be (6\/z)\/(81\/12). What is the third biggest value in c, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -36805076 or -36805078?\nAnswer: -36805076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1097, -2248, -3399?\nAnswer: -4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qnenn. Give prob of picking 1 e and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + (-7 + 5 - (4 - 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + -14. Let n = b - -13. Let v(t) = -2*t**3 - 3*t**2 + t - 1. Is v(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -102 + -379?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 10292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 13 - (-6 + (10 - -2)). Let a(v) = -v**3 + 12*v**2 + 13*v - 1. List the prime factors of a(z).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 - 6*q**2 + 2*q + 8. Let r be f(-6). What is the common denominator of -29\/15 and -1 - 3*r\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6795565l in millilitres?\nAnswer: 679.5565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 30 and (12\/(-30))\/((-326)\/325 - -1)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1472 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -125, -190, -167, -14, 311, 850, 1645, 2738?\nAnswer: 4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -240, -245, -250, -255, -260, -265?\n\"Answer: -5*g - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 555*m**2 + 556*m**2 + 0 + 698*m.\nAnswer: m**2 + 698*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -10639 = -105*t + 428*t + 6840 - 5528 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 951727517*h**3*j + 2*h**2*j - 773199*h**2 + 55*j wrt h?\nAnswer: 5710365102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*r + 30*r - 5*n = -120, 10*n = 3*r - 20. Let f be 59\/2 + (-1)\/(-2). Calculate the greatest common divisor of r and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 362*h + 27*h**3 + 404*h - 1122*h - 3 - 4*h**2 + 355*h + 2*h**2 in the form l*h**2 + b + v*h + k*h**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -558565718*n**4 - 572159*n**2 + 169?\nAnswer: -13405577232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t**4 - 10*t**3 - 2*t**2 - 6*t - 4. Let v(w) = -4*w**4 - 19*w**3 - 5*w**2 - 11*w - 7. Let z(g) = -7*p(g) + 4*v(g). Factor z(x).\nAnswer: -2*x*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -75828 divided by 6\nAnswer: -12638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**2 - 10*o - 13. Let u be d(11). Let h = -4 + 6. Let b(m) = h - 5 + m + 1 + 3. Give b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, h: 1, g: 1, d: 2}. Give prob of sequence gd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 61*o**2 - 121*o. Let z(l) = 60*l**2 - 101*l. Let t(u) = 5*x(u) - 6*z(u). Calculate t(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26)\/8 - (-1)\/(16\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115 = 24*c - c. What is the remainder when 26 is divided by (-3)\/((-3)\/7) + c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 + 22*q**2 + 52*q + 60. What is m(25)?\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 36 or 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 156 and 2855148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 - 3110 + 9338 + 0*g**2 - 3105 - 3110.\nAnswer: -g**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 2\/4)\/((-320)\/(-384)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a - a + a)*(6 - 3 + 5 - 1 + 0 - 1 + (-5 + 2 + 2)*(-3 + 0 + 2) + 2 - 5 + 1).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 2063342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 60\/23?\nAnswer: 60\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -52*h + 80*h + 53*h as j + n*h and give n.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2\/15 (c) 2 (d) 58\/7 (e) 1\/6 (f) 41\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-4)*252\/18. Let o = 1 - -3. Let w = 7 + -8. Sort r, o, w in increasing order.\nAnswer: r, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (65\/(-52))\/(2*(-3)\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -115 times -747?\nAnswer: 85905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 54 = -15*q. Let f be 220\/6*(495\/(-10))\/11. Let y = q - f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-6*(1 + sqrt(2057)) - sqrt(2057)) + (-1*sqrt(2057)*2 - sqrt(2057)))**2 - (-4 + sqrt(2057)*5 + 2))*-5.\nAnswer: -1028690 - 6325*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 29\/3 of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.1 (b) 1\/2 (c) -1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2*z**3 - 328*z**2 + 1073*z + 11848. What is n(-167)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 4*s**2 - 165. Let u be w(11). Suppose d + u = 327. Let r(v) = -v**2 + 6*v + 2. What is the remainder when r(4) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 26, 14, -22, -94, -214, -394?\n\"Answer: -2*f**3 + 2*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from obo. What is prob of sequence ob?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 3*w = -0*p + 785, -3*p - 3*w = -585. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -30796, -29631, -26524, -20521, -10668, 3989, 24404?\n\"Answer: 159*y**3 + 17*y**2 + y - 30973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from zbrznrnbkzznkbz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -309*d**2 + 191*d**2 + 194*d**2 + 534*d**2.\nAnswer: 610*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20653854 and 117?\nAnswer: 61961562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of -v**7\/2520 - v**6\/720 - v**5\/480 + v**4\/6 + v. Let t(h) be the third derivative of q(h). Determine m, given that t(m) = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 511*y + 2080. Determine c(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13\/15 + -8\/15. Let a = -1041\/7 - -149. What is the second smallest value in a, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 203 - 12767?\nAnswer: -12564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1718\/11 + 5143\/33. Put 4, 4.2, 0.2, g in decreasing order.\nAnswer: 4.2, 4, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(143) + (sqrt(143) - (sqrt(143) + 2*sqrt(143))*6) + sqrt(143) + sqrt(143)))\/(1*2*sqrt(396)).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16 - 11. Let p(w) = -5*w + 4*w - 4*w - 2*w + 9 + 4*w. Let g(q) = q - 4. Give z*g(x) + 2*p(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*q**2*s + 50394*q**2 + 295168*q*s wrt q.\nAnswer: 10*s + 100788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 0 - 2*y**2 - 4 - y**3 - 2*y**2. Suppose 5*d - u - 2934 = 0, -9*u + 13*u = 2*d - 1188. Suppose 604 - d = -6*h. What is q(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from uduuudduuuduuu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/1*(-6)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - 2. Let s be -3 + -8*(3 + 28\/(-8)). Which is the nearest to s? (a) j (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -6*o**3 - 175*o**2 - 1247*o - 2951. What is n(-20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-19 - 2) - (48 + -58).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 201 and -1.2?\nAnswer: -241.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 200 = -4*o + 3*o, 0 = 4*o - 2*g - 830. Suppose -184 = -2*b - 3*b + 3*k, -k - 3 = 0. What is the remainder when o is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2785 - 1888. Find the second derivative of 897*f**2 - i*f**2 - 5*f + 9*f**3 wrt f.\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v - 3. Is u(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292540500 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/10)\/(8\/(-50))*(-112)\/(-490)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 31*d + 335*d - 1 + 28*d.\nAnswer: 394*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 11*x = 10*x - 8, 5*p - 25 = 5*x. Does 1\/8427 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 5*w = 30, y + 3 = -w + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t + 7. Let w(b) = 2*b - 11. Let c(o) = 99*o + 599. Let u be c(-6). Determine u*w(r) + 8*k(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**2 + 8*i - 1. Determine d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is (170 - 169) + 1782*84 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 3*s**4\/2 - 133431*s**3\/2 + 1067271*s**2\/2 - 666885*s\/2 - 3335175 = 0.\nAnswer: -2, 5, 44469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1367 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -120 + -14 - (-181 + 94).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3*f**2 + f. Let z(s) = -s**3 - 9*s**2 - 7*s + 10. Let j be (-8)\/12 - 22\/3. Let t be z(j). Is k(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - b + 36. Let m = 2215 - 2212. Solve -3*a = b - m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -11*c + 7*c. Suppose -2*t + 76 = -2*k, 2*k = c*t - 41 - 71. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -22, -35, -54, -79, -110, -147?\n\"Answer: -3*b**2 - 4*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9812*a = -9831*a + 3724. Calculate the greatest common factor of a and 1652.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 2 = -10. Suppose -2*v = -v - j. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9745 smaller than -9745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 + 2*j**3)*(321 + 183 + 575 - 63).\nAnswer: 2032*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 3*c**3 - 4*c**2 + 7*c - 9. Let p be u(2). Calculate the highest common divisor of p and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:20 PM and 2:55 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:30 AM and 11:23 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 3*w = 10. Suppose w*s = -2*j + 268, -j + 44 + 99 = 4*s. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k + 0*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 412, 1, 7, 3\/5, -2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and -39\/32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -324181497*d*x**2 + 174*x**2 - 23768*x + 1 wrt d?\nAnswer: -324181497*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.13133 and 0.019.\nAnswer: 0.15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -43 + 84 + -52 + 30 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 10 - (1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 12:40 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v. Determine z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23208?\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*n - 3*n**3 - 11*n**3 + 0*n**3 + 16*n**3.\nAnswer: 2*n**3 - 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 7.748571 millennia?\nAnswer: 774.8571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 3*w + 33 = -37, 2*f - 42 = 5*w. Let a(c) = -20 - 15 - 5 + c + 5*c. Is 14 a factor of a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 14\/3 + 8\/(-12). Suppose 0 = s*r + 4*y, -y - 10 = -4*r - 0*y. What is the second derivative of -3*j + 6*j - r*j**5 - j wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1329669303313 + 631.\nAnswer: 1329669303944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 160 = 5*u, 0*u + 2*u = -5*h - 200. Let b be (0 + 3)*(-12)\/9. Let z be b\/(-22) - h\/385. Is 2\/5 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -299467, -299458, -299437, -299398, -299335, -299242, -299113?\nAnswer: -298942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25998 is divided by 25771.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to -13\/2691946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 5*u - 180 = 0, -o + 0*u + 45 = 2*u. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 82 (base 13) to base 15\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6, q: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aia when three letters picked without replacement from {b: 1, z: 1, i: 1, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 - 2 + 7)*(-2 - 2 + 3) + 4 - 1 - 1 - 3 + 5 - 5)*(-16233*a + 5 + 16232*a - 16).\nAnswer: 3*a + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -10511 (base 6) to base 12\nAnswer: -a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2947494579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 13503239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 - 3*a**2 + 1. What is n(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (54\/(-189))\/((-2)\/28). Solve -2*x = -2*g - 7*x + 18, -2*x = f*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 3*f**5 - 204*f**4 - 58707*f**3 + 728676*f**2 = 0.\nAnswer: -117, 0, 12, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 577, 193, -1157, -3473, -6755, -11003, -16217?\n\"Answer: -483*c**2 + 1065*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.858, 76, 3, 710?\nAnswer: 0.858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -665*c + 9*c**3 - 380*c**2 - 2*c**3 + 2916*c + 1039*c - c**3 wrt c.\nAnswer: 36*c - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 277530 by -46255.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 713524997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -4119 less than or equal to -4119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 1 s when three letters picked without replacement from nsnsnss?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 3*r**2 + 6*r + 7. Give z(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2600055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -216 = -12*u, 699*u + 79 = -5*s + 702*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 4*m - 6. Let x be t(4). Suppose -x*v = -5*v - 140. Suppose -d + 3*s = 0, 5*d - 2*d = 2*s + v. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1645 and 36235402?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 6:07 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 5, w: 4, t: 8}. Give prob of sequence jt.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172 is divided by 102.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**3 - 3*m**2 - 3*m + 5. Let b be i(4). Let k = b - 5. What is the second derivative of -t**4 + 2*t**k + t**4 + t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, 0.12, -4\/7 in decreasing order.\nAnswer: 0.12, -4\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 14\/(-1)*(-80)\/(5760\/54)\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 + 31*c**2 + 8*c - 202. Let d be n(31). What is the greatest common divisor of 184 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/(3\/(1 + -4)). Suppose b = 4*x + 5*o - 76, -x - 5*o - 92 = -4*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - 888089\nAnswer: -888087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x + 1. Let h(b) = -b**2 + 32*b - 1. What is h(k) + w(k)?\nAnswer: -k**2 + 31*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, 1\/6, 3, -3, 5\/46 in descending order.\nAnswer: 3, 1\/6, 5\/46, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -6*c. Let o(j) = 10*j**2 - 12*j. Let s(b) = -140*b**2 + 170*b. Let d(m) = 85*o(m) + 6*s(m). Give d(i(y)).\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 1:10 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 28, 34, 38, 40, 40, 38, 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/5, 97, 0.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3097459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -7 + 2*w**2 + w**2 + 2 - 4*w - 2*w**2. Suppose 2 = u + 5*m + 12, 0 = m + 3. Give n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*-2*-1*(-9)\/(-180)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 22.8 times -51?\nAnswer: -1162.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 36*g**2 - 8495*g - 790. Calculate b(236).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r**2 + 51305064*r + 658052398011024 = 0. Calculate r.\nAnswer: -25652532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(26)\/(sqrt(8)\/(sqrt(16)\/sqrt(4)))*3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from lksyh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -263609.100104 + 263610. Let u = -1.07 + 0.17. Let i = u + y. Round i to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand p**2 + p**4 - p**2 + (p**2 + p**3 - p**2)*(2*p - p - 3*p) + 0*p**3 + p**4 + 0*p**3 - 9*p**4 - 14 + 14 + p**4 - p**4 + 2*p**4.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 18147262, -1\/9 in decreasing order.\nAnswer: 18147262, 5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 11:00 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/6 - (-49 - -49).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 2*r + 2. Let c be -2 + 1 - (-6 - -5). Suppose 5*p - 27 - 8 = c. Is 16 a factor of y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12.752367 + 11.9887. Let k = j + 0.763. Round k to 5 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 - l**2 + l - 1. Let t(g) = -3*g**3 + 4*g**2 - 54*g + 4. What is -4*p(v) - t(v)?\nAnswer: -v**3 + 50*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 3*w - 13 + 92 = 0, -3*x = -2*w - 58. What is the lowest common multiple of 6 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -3*r - 2*r. What is the remainder when 23 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.48 (c) 2 (d) -0.1 (e) 101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 586 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -198005*v**2 - 7960*v - 80.\nAnswer: -5*(199*v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 + 8*z**2 - 4. Let n(s) = s**3 + 3*s**2 + 5*s + 15. Let k be n(-3). Suppose -4*o - 4*m - 36 = k, 3*o + 3 = 5*m - 16. What is t(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/560 - (-1 - (-8)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-4)\/(-42)*(-4)\/(-8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -139, -242, -269, -178, 73?\n\"Answer: 7*r**3 - 4*r**2 - 140*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 333 - 331. Suppose 3*l + 21 = t, -f*l - 8 = 2. Let n(u) = 2*u + 7. Calculate n(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7923000 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -642f6 (base 16) in base 6?\nAnswer: -12443450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 430*n**5 - 7*n**3 + 2*n**2 + 2*n - 273 wrt n.\nAnswer: 8600*n**3 - 42*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 33 and 3474.\nAnswer: 38214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -3.0947 rounded to two dps?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -149.368 + 0.368. Let j = c - -148.8. What is the fourth biggest value in -16, 2\/5, j, 0.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 3*h = 0. Let r be 6\/(h + 1 - -1). Suppose -3*p - 10 = -2*g + 2*p, 2 = -r*g - p. Solve -3*z + 2*z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pqqq when four letters picked without replacement from {s: 3, p: 1, e: 6, f: 5, q: 3}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**2 - 37*y + 526. Let r be v(-47). Which is bigger: 40 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, -3\/2, 0, 2, -0.0047563, -3, -5?\nAnswer: -0.0047563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -58*k - 83. Let i be l(-4). Suppose -30 = -7*g - i. Sort g, 1, -1 in increasing order.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59699274.\nAnswer: 2, 3, 17, 197, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + -4 + (-1 - -4). Solve g*m - 1 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1030 and 407880?\nAnswer: 407880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -38788*o + 38760*o - 644 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -107 - -104.8. Let i = -1.8 + t. What is the third biggest value in -35, 1\/3, i?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13758, 16884, 20012, 23142, 26274, 29408?\nAnswer: 32544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -36*c + 33*c + 12, 33 = -5*l + 2*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -954*u**2*z - 78*u**2 + 6*u*z + 2*u + 15531*z wrt u?\nAnswer: -1908*z - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 11\/10 of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 19 - -ab3?\nAnswer: b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (29 - 46 - 22)*(3 - 3 - 3*n)*(n - 4*n + 2*n)*(-3 + 0 + 5) in the form v*n + i*n**2 + g and give i.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/2*(-1)\/((-20)\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.8 + -5.53. Let q = -0.23 + t. Is q bigger than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -19667 + -226?\nAnswer: -19893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uklllkk. What is prob of picking 1 u and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (1 + -1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7*(-5)\/20*-4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*l - 76 = -180 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 - 276*c + 825. What is a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*g*y - 133363*g - 236968*y**3 + 14 wrt y?\nAnswer: -2*g - 710904*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 963366.1ng to milligrams.\nAnswer: 0.9633661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1880544948.\nAnswer: 2, 3, 156712079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mdddmdddmdddmddmdd. What is prob of sequence dmm?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -36*m**2 + 5*m - 1. Let t(a) = 72*a**2 - 9*a + 2. Give 5*g(s) + 3*t(s).\nAnswer: 36*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 56.67 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mtm when three letters picked without replacement from {t: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/(-3))\/(-2 + 2478\/1242). Let l = n + -5. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5425?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/143496 and 23\/9446820.\nAnswer: 56680920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8512932 divided by 11598.\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**2 - t + 203. Suppose 5*l - 17 = 3. Suppose 0 = z + l*z. Is o(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 5*h + 100. Let u be i(-24). What is the closest to -5 in 0, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 + 18. What is the remainder when (-10)\/(-8) + -2 + 429\/12 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 184554*q**3 + 375*q + 120662190?\nAnswer: 553662*q**2 + 375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 28718 - 12199. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t = -201*k + 206*k - 180, -3*k + 4*k - 60 = 5*t for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 4899 by -184.\nAnswer: -213\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3332187462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23439, 23672, 24281, 25452, 27371, 30224, 34197, 39476?\nAnswer: 46247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/((-280)\/(60\/(-6)))*8\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -166*r - 6*r**2 + 166*r. Let j(m) = -2*m. Give j(x(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5100\/17*1620\/6750\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 74560262 to the nearest ten thousand.\nAnswer: 74560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {q: 9, t: 1, i: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes after 9:25 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 38\/5, 985\/4, 3, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 493*f + 489*f = 926, -w - 4*f = -330. Sort w, 8, -3 in descending order.\nAnswer: w, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6\/70 + (-2)\/(-10). Let v = 4 + -6. Suppose o = c + 7 - 10, 5 = -o - c. What is the nearest to v in d, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1*-3*5\/(-15). Let v be c - (-3)\/((-2)\/(-2)). Suppose 5*i - 5*q - 55 = -20, 4*i + 4*q = -v. Solve -z - i + 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2\/45, -4, -0.2, 4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1069\/11 + -3229\/33. Which is the nearest to 2? (a) -659 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 86 + 19. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 75 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/30 - (0 - 44\/10)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*l + 0*l**5 - 91*l**6 + 156*l**2 + 135*l**6 - 3*l**5 - 52*l**6 wrt l.\nAnswer: -960*l**3 - 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*w + 733 - 193 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add -0.4 and -1.274.\nAnswer: -1.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 80793162, 161586332, 242379504, 323172678, 403965854?\nAnswer: 484759032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -3 at least as big as -1180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -2.5, 262177?\nAnswer: 262177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -12*k**3 - 203*k**2 + 26*k + 146. Determine x(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - -15. Suppose 0 = -0*r - r + d. Calculate the highest common factor of r and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 168 + 125. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 32 (b) 0.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 27658403\/56887270 + 2\/196163. Let n = o + 2\/145. Let s = -0.04 + -2.96. What is the second biggest value in n, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:31 PM and 3:33 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 12:08 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b + 3. Let k be t(2). What is the second derivative of 1 - k - 3*j**3 - 3*j + 4*j wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51 = 11*b + 7. Solve 8 = -6*r - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9\/6*120 + 1?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1781, 1795, 1823, 1871, 1945, 2051, 2195?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (152\/836)\/(69\/36) - (-2)\/(-11)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1300, 1301, 1302, 1303, 1304?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5536 - 7913. Is q at least as big as -2379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36\/(-189))\/((-6)\/(-7)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20997439.\nAnswer: 1063, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 71*l = -70*l - 40, -t + 34*l - 31*l = 134 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*o - 4*o = -12420. Let v = -460 - o. Solve v = -b - 3*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 830314101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3533.545952 - -0.6.\nAnswer: -3532.945952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*b**2 - 22666692*b + 62333524.\nAnswer: -4*(b + 1416671)*(4*b - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*u**3 - 113*u**2 + 346*u - 6*u**3 - 180*u - u**3 - 163*u to the form o*u + j*u**3 + q + y*u**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(126)\/(sqrt(9)*-2))\/(sqrt(2)*-2*-3).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v - 17. Let q be n(13). Let o = q + 6. Let i be (26 - o)*(-2)\/(-3). Solve g - l = -2*g - i, 2*g + 5*l = -5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 164023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -887 - 652750?\nAnswer: -653637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1034)\/42 - 1\/(-3). Which is smaller: -23 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 900\/48 + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 16) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(375)*-2 + sqrt(375) - sqrt(375) - sqrt(375))\/(sqrt(6)\/(sqrt(12)\/(sqrt(6)*1))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 2 + 3)*(-55*b - 58591*b**4 - 58573*b**4 + 117166*b**4 - 266*b**2) to m*b**4 + r*b + a*b**3 + v*b**2 + n and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 245 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 990989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 - 325\/(-20) - (-2)\/(-8). Let o = f - 36. Let m = 18 + o. Solve m*u + 20 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 513407585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -102 + 1217*v + 91 - 1266*v to the form x*v + j and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-89358751575886516)\/306792 - (-3 - 0). Let k = -291268193358 - s. Let p = -2\/12783 + k. Find the common denominator of p and -73\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.74 rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12375829.\nAnswer: 12375829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 3*y - 1178 = 71, -2*y + 1556 = 5*m. Suppose -s - 2*r + 18 + 50 = 0, 0 = -5*s - 4*r + m. What is s rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 + (10 - (12 + -22)) - 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {i: 7, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 5*b - 8*b - 908 = 0, -k - b + 220 = 0. What is the greatest common factor of k and 2752?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 44*u**2 - 2*u. Let c(a) = -441*a**2 + 21*a. Determine 2*c(p) + 21*r(p).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 60178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 452831850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o. Let i(n) be the second derivative of -n**3\/2 + 5*n**2\/2 + 22*n - 5. Calculate w(i(u)).\nAnswer: 3*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2048 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 896159, 896174, 896189, 896204, 896219?\n\"Answer: 15*k + 896144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2241 is divided by 274.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 197, 247, 323, 419, 529, 647?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1347*u - 4554 + 102885 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*w = 150, -5*w = -3*y - 0*w - 445. Let r be (-2 - (-269)\/4) + (-105)\/y. Is r bigger than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.01206 (b) 2\/5 (c) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -13863*k**3 - 175*k**2 - 239960 with respect to k.\nAnswer: -41589*k**2 - 350*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**2 + m. Let q(r) = -7*r**2 - 12*r + 1. Let v(p) = 5*c(p) + q(p). Let w(s) = -s**2 + 279*s - 833. Let l be w(3). Determine v(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 67, 104, 143, 184, 227?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 0*j + 3*j**2 + 5*j - 5*j. Let n(d) = 12*d. Let h(m) = m. Let q(y) = 10*h(y) - n(y). What is q(k(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 divided by 65.\nAnswer: -17\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 11 + (-10 - 1) + 13 + -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/5 or 33.48431?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 8:15 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add -100630331 and -357.\nAnswer: -100630688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and 2\/232273 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -409*c - 195*c + 20527 + 559 = -4282 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 299994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/7)\/(13\/273). Let f = z - 24. Let r(y) = -7*y**3 - 4*y**2 - 11*y. Let p(u) = -2*u**3 - u**2 - 3*u. Determine f*r(d) + 22*p(d).\nAnswer: -2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/5)\/((-3)\/675*27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nw when two letters picked without replacement from iiiniiiiiiwii?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:08 PM and 12:09 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*u - 1. Let l = 1 + u. Suppose l*f + 2*f = 16. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b + 2. Let a be n(-3). Let z be (-1 - a)*(-4)\/8. What is the nearest to z in -4\/7, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 84045923 and 10855?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 3*m + 19 + 8, 0 = 3*q + 2*m - 1. Suppose -5*w = -5*j - 16 - 19, 5*w = -3*j + 3. Calculate the greatest common factor of w and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15\/4 - 7\/2. Let h = -3.5 - -3. What is the closest to -1\/3 in h, n, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**2 + 3*i - 2. Let t be s(-9). Let l = -56 + t. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 1359*y**2 + 17*y - 127. Is c(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 - (-15)\/7)\/(13\/(-26)). Which is the third biggest value? (a) -1\/5 (b) 2 (c) -0.5 (d) o (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: ((-210)\/25)\/(-7)*120\/(-12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -30.5 and -1.23.\nAnswer: 37.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -8*i + 7. Let m(c) = -9*c + 7. Let z(s) = 4*s - 3. Let o(v) = -3*m(v) - 5*z(v). What is -5*f(h) - 6*o(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -20, -201\/2.\nAnswer: -201\/2, -20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-15*5\/(-180))\/((-70)\/(-224))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -11338 (c) 0.04 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -182, -209, -236, -263, -290?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -14464 (base 7) in base 5?\nAnswer: -112030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 3, z: 1, a: 2, g: 1, h: 1, n: 3}. Give prob of picking 1 o and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 AM and 9:35 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 134 divided by 2554\nAnswer: 67\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5.13 - 0.13. Let j = y - 9. What is the second smallest value in -5, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 51490 and 347422.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -79 - -114. Suppose -6*k + x = -k. Let c = 37 + -36. Solve 2*i = -c + k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 130 and 807755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x + 16 = -3*x. What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -7, -0.1, -1, 9, -2.49, 0.2, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 21284 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:30 AM and 5:00 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -11 - 1. Let z be (-78)\/(-13)*3*(-1)\/(-6). Let l be (z + -4)\/(p\/(-6)). Solve c = -3*v + 4*c, -l*v = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -640521545811 less than 6?\nAnswer: 640521545817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u - 2. Suppose 0 = 2*i - n + 1 + 2, i = 2*n. What is a(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/(-77))\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4\/((-636)\/644 - -1) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1568*q = -1547*q - 40 - 254 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 1.212.\nAnswer: 2.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in fifty-four fifths of a hour?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -37. Let p = b + -10. Let f = 3 + 2. What is the remainder when p is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 208 a factor of 3048077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -131*t**3 - 14*t**2 - 17*t - 23. Let q(h) = 44*h**3 + 5*h**2 + 6*h + 8. Determine -6*m(i) - 17*q(i).\nAnswer: 38*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 9 = 2*x + 5, 4*m = -5*x - 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 14 = -6. Let x = -86 + j. Is -1 - (x\/2 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + 5*y + 5. Let c(u) = -u - 8. Let j be c(-5). Let o be p(j). Let r(l) = 7*l**3 - l**3 + 2*l + 1 - l**3 + l**2. Give r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.04 - 121.7\nAnswer: -121.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 + 18 + -2 + -10 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + 0 + 1 + (47 - -13 - 13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 2*i - i. Which is smaller: -13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -156*c + 3. What is x(1)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b + 2*b - 6*b)*(-2*b**3 + 0*b**3 + b**3 - 2*b**2).\nAnswer: b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2799*v + 2628*v - 1918 = 647 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.7*-0.059.\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + 28. Let r = -7 + 26. Suppose 2*w - 1 = r. What is the remainder when q is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 546 + -632. Is ((-9242)\/4)\/(43\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 3*t - 4 + (-1 + 2 + 1)*(20*t + 24*t + 49*t - 43*t) to a + u*t and give u.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8\/29 - -317\/203. Find u, given that 0*u - 3\/7*u**5 + 24\/7*u**2 + 0 - d*u**4 + 18\/7*u**3 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 15, -2, -5, 24, -3, 6 in descending order.\nAnswer: 24, 15, 6, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*r + 0*r + 10*r - 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4 greater than -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (490\/(-1323))\/((-30)\/9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 22181944, 44363890, 66545838, 88727788, 110909740?\n\"Answer: l**2 + 22181943*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000039362 rounded to 7 dps?\nAnswer: -0.0000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**2 - 2*d - 3. Let g(f) = -f**2 + 10*f - 10. Let w be g(8). Let v = w - 4. Calculate the remainder when q(4) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -106170, -106137, -106100, -106059, -106014, -105965, -105912?\n\"Answer: 2*q**2 + 27*q - 106199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 times -0.331?\nAnswer: 0.0662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 99*k**3\/4 - 299*k**2\/4 - 246*k + 5.\nAnswer: (k - 5)*(k + 2)*(99*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x + 25. Let r(t) = -t. Let j be r(1). Let k be (j - -1)*(-2)\/(-4). What is the tens digit of n(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -2*h + 590, 0 = -135*h + 133*h + f + 581. What is the highest common divisor of h and 510?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 813*z**3 + z - 1091?\nAnswer: 4878*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 593 or 587?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2*(5\/(-2))\/1. List the prime factors of 4\/((q\/(-2))\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -3*p**2 + 6*p - 4. Suppose -60 = -7*g - 8*g. Let h(m) = m - 1. Calculate g*h(s) - u(s).\nAnswer: 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {u: 2, c: 6, b: 8, j: 2}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:06 PM and 5:34 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (0\/(9*2\/6))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vl when two letters picked without replacement from eeweweweeewweewlvvew?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 127 + 5 = 16*y + 4 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 17 (b) 3 (c) -2\/5 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -156350547 + 1.2?\nAnswer: -156350545.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -783 - -785. Solve -24*p - g = -26 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*f**3 + 305*f**2 - 6*f - 9198 wrt f.\nAnswer: 9*f**2 + 610*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12797 and 4489.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 2 = -5. Let z be (1 + 13\/(-3))\/(14\/(-739221)). Suppose 2*g + 351990 = 4*n, r*n - z = n - g. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the second derivative of d**4\/9 + 4*d**3\/3 + 10*d**2\/3 - 57*d. Let q(y) = 0. What is y?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 8) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 4*r - 2. Suppose h - 24 = 5*h. Suppose 22*m = 23*m - 4. Let j(a) = 3*a - 1. Give h*j(d) + m*g(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - -2. Let s = -4.4 - -0.4. Sort 3\/7, s, q in increasing order.\nAnswer: s, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v = -17 - 7. Is v greater than or equal to 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.23548 and -3.\nAnswer: -0.70644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 6*t + 11 - 12*t + 3*t + 0*t + 2*t in the form i + f*t and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**5)**(-5)*(k**(-2\/7))**(-43) assuming k is positive.\nAnswer: k**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-288)\/(-252) + (-56)\/49. Let z(q) be the third derivative of 0 + y*q**4 - 1\/600*q**6 - 32*q**2 + 1\/100*q**5 - 2\/15*q**3 + 0*q. What is x in z(x) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o + 5. Let m(y) = -y**2 + 19*y + 18. Let d be m(19). Calculate the remainder when f(5) is divided by d\/(-5)*(-30)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 2*w. Suppose -3*u - 2*u + 5 = -s, -3*u + 4*s - 14 = 0. Let b(m) = 3*m - 3. Let n be b(u). Suppose 6 = n*y - 0. Determine z(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*c**4 - 12*c**3 + 7*c**3 - 7*c**4 - 6*c**2 + 12*c**3 to w + q*c + r*c**4 + y*c**2 + k*c**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 6452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/216 in 1\/3, -2\/11, -6\/23, -0.217?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(56)\/sqrt(4)*5)\/(sqrt(70)\/sqrt(40)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.4733 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 4*l + 16 = -6, -39*x = -38*x + 22*l - 91 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -439*u - 84. Let v be w(-8). Suppose 9828 = 8*q - v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a**4\/2 + 224710731*a**3 - 16831637092763319*a**2\/2 - 16831637766895518*a - 8415818995803126 = 0.\nAnswer: -1, 74903578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -27226836*q - 24444854?\nAnswer: -27226836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -485, -486, -487?\n\"Answer: -y - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**2 + 22*s + 210. Let u be h(-7). Let w(d) be the third derivative of -d**4\/12 - d**3\/2 - 151*d**2. Determine w(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and 0.235.\nAnswer: 0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(288)*6 - (sqrt(6)\/(sqrt(12)\/sqrt(4)) + -4).\nAnswer: 4 + 71*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -194, -2\/3, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 132*i**2 - 32*i. Let m(b) = -33*b - 163. Let g be m(-5). Let z be n(g). What is the highest common divisor of z and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u**(-6\/5)*u*u*u)\/u)\/(((u*u**(-27))\/u)\/u)*(u\/(u\/((u**0*u)\/u)))\/u**(-14\/9))**37 assuming u is positive.\nAnswer: u**(52207\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 14 + 12 = 0, 5*i + 3*g = 177. Let d be (-49 - 1)*(-3)\/6. Let s = d + -12. Calculate the remainder when i is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 + 2)*(-87)\/3. Let z = -7 - 10. Let m = z - j. What is the remainder when 35 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45709 is divided by 22835.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 169563206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + (-10 - (12 - 20)) - 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -s + 8. Let u be ((-1)\/(-2))\/((-2)\/s). Let q(p) = -p**3 - 7*p**2 + 6*p - 12. Let t be q(-8). Sort u, -2, t.\nAnswer: -2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/8)\/(25\/(-600)*18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + 173 = 2*u + 233, -5*u + 3*l + 71 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-31 + 0 - 6)*(-r - 12*r - r) to the form j*r + b and give j.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -60600 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/5, -4\/29, 6, 0, 2 in descending order.\nAnswer: 6, 2, 4\/5, 0, -4\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**2 + 14*l + 14. Let z be g(15). What is the units digit of z*-10*(-1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12060 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 84675222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 3*q**2 - 7*q - 1. Let u(p) be the third derivative of -p**5\/15 + p**4\/3 - 2*p**2. Let z(l) = -2*u(l) - 3*x(l). Let o be z(6). Is o < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1320*a - 1317*a = 4*j - 18, 0 = -7*j + 5*a + 32 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q*((q*q**(1\/4)*q*q)\/q)\/q))\/(q*q*q**6))**(-7)*(q**(-7)*q*q**5\/q)**(4\/13) assuming q is positive.\nAnswer: q**(3335\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from rlllllqrqlrrlllq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -758*s - 12016. Is h(-27) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1107750 and 17539375?\nAnswer: 105236250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 448 and 3444.\nAnswer: 55104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -0.1208, 56, -2, -2\/117, 3, -4?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -45\/212 and 43\/12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3340 and 90020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2664 - -1?\nAnswer: -2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 2874*f + 2874*f - 323*f**2 to the form q + d*f + h*f**2 and give h.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 5, p: 6, s: 2}. What is prob of picking 4 l?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from vsvvvyyvsyssyv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 8*p**2 - 85*p - 32. Calculate w(10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*x + 92 = 22. Suppose -x*n + 45 = 2*n. Suppose -144 = 4*s - 40*s. Sort 1, s, n in descending order.\nAnswer: n, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 12. Suppose 4*n - 23 + s = 0. Suppose 3*k - n*k = 0. Solve k = 7*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 - 6*q**2 + 3*q + 7. Give h(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1079 - 1071. Let x = -8 + 14. Suppose -2*b + 16 = x. Which is bigger: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/4 - (18 - 12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2692, -5382, -8072, -10762, -13452, -16142?\nAnswer: -18832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -29 + 16. Let v = q + 12.99964. What is v rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (-3 + (2 - -1))) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18812 is divided by 161.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bjqbbrurbqrrrj. What is prob of picking 2 r and 1 u?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 275, 133, -9, -151, -293, -435?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(1100) + 0 + sqrt(1100) + sqrt(396) + -2) - (sqrt(550)\/(sqrt(20)\/sqrt(2)))\/(sqrt(135)\/sqrt(3)).\nAnswer: -4 + 155*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -20*w + 18. Let x be f(1). Put 1352, 0, x in descending order.\nAnswer: 1352, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 300*n + 308. Let d be s(-1). Solve 157 = d*c + 141 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.46 - 0.04. Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 742.8449071 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107464*h**2 - 8*h + 53773*h**2 + 53760*h**2 + 10*h.\nAnswer: 69*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2360 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 132066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 6*d**3 + 9*d**2 - 128*d - 137. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -559437.1 to the nearest 1000.\nAnswer: -559000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1941280871.\nAnswer: 15559, 124769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -32771 + 14419263\/440. Let x = n + 4\/55. Let m = 0 + -2. What is the third biggest value in x, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 - -11a?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-12)\/36)\/((-4)\/(-15)). Let y = 18 - 26. Let c = 7 + y. Put 2\/19, a, -2\/13, c in decreasing order.\nAnswer: 2\/19, -2\/13, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5.4 + 5. Let x = 8 + -5.5. Let k = x - -0.5. Sort r, -0.1, k.\nAnswer: r, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the first derivative of -5*p**3\/3 - 435*p**2 - 1720*p + 1147. Factor d(g).\nAnswer: -5*(g + 2)*(g + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n**5 + 12636*n**4 - 11042412*n**3 + 1627271684*n**2 + 6686575056*n = 0 for n.\nAnswer: -4, 0, 189, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - ((-30)\/255 - 15\/17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -2*s + 3. Suppose 0*n - 35 = -2*n + q, 17 = n - q. Let i be (n\/8)\/((-6)\/(-40)). Suppose 2*b - 2*t = 5*b + i, 0 = 5*b + 2*t + 21. Calculate x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.32 + -0.22. What is the nearest to f in 0.2, -1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 357 + -355. List the prime factors of (-54)\/(-6) + 55 + w*1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 654 - -259. What is the greatest common factor of 166 and b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -37 + -1341272?\nAnswer: -1341331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2768 - 915 - 922 - 923 - 120*n to the form q + f*n and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 29733486331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -114 (base 5) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -620449.919 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 340*b - 8. Let d be r(2). Suppose 5*p = -h + 1266, 4*p + 5*h + d = 1689. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -500 by -15.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -0.21264 (c) -1\/5 (d) 2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(95)*-2)\/(-2*sqrt(500)))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-17208)\/(-108) - 2\/(-3). Let r = w + -144. Are 9 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**7\/d))\/d*d)\/((d**(-1\/11)\/d)\/d)*d*d*d\/(d*d**(1\/6))*d\/((d*d*d\/(d**(-13\/3)*d)*d)\/d) assuming d is positive.\nAnswer: d**(-141\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, -17, 1, -45, 0.\nAnswer: -45, -17, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 - 7. Let v(g) = -2*g**3 - g**2 - 2*g - 1. Let c be v(-1). Is ((-314)\/x)\/((-1)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (15 - 10) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -34*k. Let n(a) = 8*a. What is n(t(y))?\nAnswer: -272*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the second derivative of -2*q + 1\/12*q**4 - q**3 - 3*q**2 + 0. Let f be d(7). Solve k = f + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -119.8 - -122.8. Sort -2, g, 37\/7 in descending order.\nAnswer: 37\/7, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38*g**2 - 11*g**2 - 2*g + 71*g**2)*(5 - 5 + g**2).\nAnswer: 22*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 153969 and 5858.\nAnswer: 901950402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.2 and 19.7818?\nAnswer: 19.5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 18591630 to the power of 1\/2, to the nearest integer?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = j + 18. Let f = 8 + j. Let z(d) = 0 + 2*d - 2 + f. Let n(b) = b**2. What is z(n(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 498 = -342. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 600644 and 9451456?\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/12 + 10327*o**2\/6 - 34415*o\/4.\nAnswer: -o*(o - 20649)*(o - 5)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (0 - 5) + (-3 - -8) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/54)\/((4\/2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 603*l - 1046 wrt l?\nAnswer: 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 11*v**2 - 3*v - 5. Let d(c) = 5*c**2 - c - 2. Suppose -45 + 113 = 17*r. What is r*b(s) - 9*d(s)?\nAnswer: -s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 6*-4*(sqrt(2057) + (sqrt(2057) - (-1 + sqrt(2057) + -1))) + -2)**2.\nAnswer: 27984*sqrt(17) + 1187641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*o + 15 = -142*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110000 + 101101110101010?\nAnswer: 101101111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1126 (base 7) to base 14\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ou when two letters picked without replacement from {d: 2, o: 1, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -1.53, -36.05?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-8)\/(-3) - 2)*15. Suppose 4*j + 2*a - 24 = -0*a, -4*j + a + 12 = 0. Suppose k + 7 = v, -j*k - r = -v + 12. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - 526?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**4 + 30*g**3 - 109*g**2 + 132*g - 52 = 0 for g.\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(-30)*48\/(-36)*-2*6\/15.\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -1 + 14 + -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101122000 + -2202121?\nAnswer: -111101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 546 and 56133.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 4 + 3)*(-3*j**3 + 6*j**3 - 2*j**3) - 7*j - 10*j**3 + 7*j in the form m*j + f*j**3 + w + k*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and -198163919386.\nAnswer: -198163919385.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -4822 divided by -1\nAnswer: 4822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -38 less than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of x**6\/60 + x**4\/12 - x**3\/2 + x**2 - 291. Let b(k) = k**3 + 3*k - 3. Determine -2*b(i) + 3*q(i).\nAnswer: 4*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(-52)*-4*(-455)\/546*(-4)\/20.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22412 + 0.\nAnswer: 22412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -7.6, 2336, 3 in increasing order.\nAnswer: -7.6, 3, 2336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = h, 2*v = -2*h + h + 10. What is the remainder when (-23 + v + -2)*-3 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = 5*m - 19, 194*m - 387*m + 3*z - 18 = -198*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/471657 and -63\/5.\nAnswer: 2358285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 448807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12831 is divided by 1602?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 9:41 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2*38)\/1 + 4 + -4. Let b = i - 76. Let s = b - -128. What is the lowest common multiple of 22 and s?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 435*f + 30 - 11 + 665*f + 9.\nAnswer: 1100*f + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 341 and 66061?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.17328 - -0.67328. Which is the nearest to -2\/9? (a) -2\/23 (b) 3 (c) -1\/6 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**2 - 13*m - 19. Let f be v(-8). Let j = f - -48. Solve 2 = j*z + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 6*h = -25. What is the remainder when (-6 + h)\/(1\/(-29)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 AM and 1:08 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*f*o**2 - 21*f*o - 77*f + 857*o**2 - 558 with respect to o.\nAnswer: 6*f*o - 21*f + 1714*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p + 7*p = 13. Let b(v) = 38*v - 20. What is the smallest common multiple of b(p) and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*g**4 - 586*g**3 - 29829 wrt g.\nAnswer: -16*g**3 - 1758*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*h - 48*h + 0 + 0 + 651*h.\nAnswer: 566*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1224*d*m**2 - d*m + d - 994*m wrt m?\nAnswer: -2448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -941 - 764 + 4252 = -38*d + 989 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 111.4 to zero decimal places.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of s**6\/20 - 3*s**5\/10 - 11*s**4\/8 - 3*s**3\/2 - s - 206. Factor t(p).\nAnswer: 3*p*(p - 6)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 6*r - 83 = -4*h, 3*h - 2*r - 62 = 0. Let o(z) = -z**2 + 22*z - 41. Let k be o(h). Let u(q) = q**2 - 1. Give u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times 1810?\nAnswer: -19910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 13*j**2 + 127*j + 9. Calculate z(-6).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.06 and -0.07933768761?\nAnswer: 0.01933768761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -1.22 (c) -3\/7 (d) -1\/6 (e) 288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27407 + 27407 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 1883.46627ms?\nAnswer: 0.000003114196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 15 + 3 = 0. What is the second derivative of -41*m + 61 - n*m**2 - m**2 - 61 wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of -2*y**3\/3 - y. List the prime factors of i(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -587 - x**3 - 2*x**2 - 601 + 1188.\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fooocoooooocooffo. What is prob of sequence cf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24514791?\nAnswer: 3, 7, 353, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3174616.467273 + 5?\nAnswer: 3174621.467273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -2\/11, 4\/3, -2\/3 in increasing order.\nAnswer: -23, -2\/3, -2\/11, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30193377.\nAnswer: 3, 17, 592027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b - 2601 + 2601 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3933 + 5772. Which is smaller: c or 1840?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 8*m + 39. What is f(16)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 + 9*c - 4. Let o be (-3)\/12*-4*-7. What is l(o)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 101736 and 21978.\nAnswer: 41406552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 + -7. Suppose -121*a + 120*a + 1258 = 73*a. Suppose -5 = -y - 0*y. Sort a, y, g in descending order.\nAnswer: a, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 332.7015g to milligrams.\nAnswer: 332701.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2409 + 6418 = -211*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 12. Suppose 5*u = -0*u + 10. Suppose -161 = -5*f - 2*k, 0 = -6*k + u*k - 8. Calculate the remainder when f is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 271508191?\nAnswer: 41, 6622151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 - (-28)\/(-4) - -6. Suppose -2*l + 4*l = -f. What is the units digit of l\/(-4) + 1121\/76?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2342140131 (base 5) to base 3.\nAnswer: 101012202012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ciiicc. What is prob of sequence cic?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 2188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -443.9 - -442.9. Let n = -3\/16 + 11\/16. Which is the nearest to o? (a) 4 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 21 = t + 1, 2*o = -4*t. Suppose 3*d = 2*m + m + 3, 0 = -2*m - d - 2. Let v(b) = 4*b - 1. Let h be v(1). Put m, h, o in increasing order.\nAnswer: m, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3825.371 tonnes?\nAnswer: 3825371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -8 + -1 + (-3733 - -3747)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = -o. Suppose -p - 4 + 17 = o. Suppose 4*m + 28 = 4*g, 4*m - 3*m + p = 4*g. Solve -y = g*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the first derivative of -5*q**6\/6 + 6*q**5 - 15*q**4 + 40*q**3\/3 + 68. Factor a(s).\nAnswer: -5*s**2*(s - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 62.9 + -62.8. Let z = -0.25 - -0.455. Is z at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - p - 3*p + 4 = 0, -5*p + 5 = -5*x. Let k be 2 - (-2 - x)*-3. List the prime factors of k*(-1)\/(1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.02 - -3.98. Let o = 4.4 - x. What is the closest to -2\/5 in 0, -3\/7, o?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 2 = 2*b - 2, -4*b + 8 = -2*s. Let x = s + 1. Factor t**3 - x + t + 0*t**3 - 2*t + t**2.\nAnswer: (t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the first derivative of 0*k + 1\/30*k**5 + 0*k**4 - 16 - 1\/360*k**6 - 5*k**3 + 0*k**2. Let t(n) be the third derivative of w(n). Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141247616.2 rounded to the nearest one million?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*z**2 + z**2 - 4*z**2 - 88*z - 9*z**2 + 84.\nAnswer: 4*(z - 21)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (756\/36)\/(-12*(-4)\/120*(-10)\/4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*x - 221 = 4*x. Calculate the remainder when 57 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 7*n**2 + 7*n. Let a be h(-4). Let m(u) = -9*u**2 - u - u + 948*u**3 - 3 - 946*u**3. Let j be m(5). Calculate the highest common divisor of j and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 + 150*k - 2*k**4 + 144*k + 2*k**2 - 10*k**3 - 295*k + 9*k**3 to p + y*k**4 + o*k**2 + d*k**3 + j*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 129613 + -232145. Let d = s - -147632. Round d to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 0.91095 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x + 2*x + 9. Suppose l + 4*t - 23 = 0, -x*l + t + 85 = 5*t. What is the remainder when l is divided by 3\/((-15)\/2)*-20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**2 + c**2 + 0*c**2 + (-3*c + 5*c - 3*c)*(2 - 2 - 2*c) + (-6 + 4 - 17)*(0*c**2 - 2*c**2 + 0*c**2).\nAnswer: 41*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 - (-12 + 5 + -13 + 21).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 - 15*x**2 - 20*x - 2. Let z be m(-14). Let a = z + -82. Suppose -n - 2*f + 873 = a, 0*f - 2*f = 3*n - 2611. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21, 38, 47, 42, 17?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 109267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 2698 = -4*u, 5*u - 829 = b + 2561. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -112031 + 168064. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 5*u - 3. Let p be r(2). Let z(h) = 2*h**2 + 6*h - 9. Let m(o) = o + 1. Let q(t) = 4*m(t) + z(t). Is q(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 2 + (-1 - 3 + 2)*(-1 - 2 + 5))*(-913*p - 7879*p - 46*p - 608*p - 6879*p).\nAnswer: 81625*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61 - -89. Does 16 divide ((-5)\/((-20)\/(-42)))\/((-3)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 5*i + 45 = 0, 4*g = -0*i - i + 26. Let l(a) = -2*a**2 + 8*a + 6. Calculate l(g).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4878 + -4878. Which is the nearest to -2\/3? (a) x (b) -13 (c) -2 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12 - (-44 + 67)) + 33 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - 15\/5 - (6 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/192 and 126\/(-54) + (-283)\/(-72).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -304*f + 5230. What is the tens digit of u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1516028, -3032065, -4548104, -6064145, -7580188?\n\"Answer: -l**2 - 1516034*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 51*a + 14. Let p be h(4). Let n = 449 - p. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -7*x - 1. Let d be u(2). Let r = d + 13. Is 7 a factor of (60\/(-48))\/(r\/56*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**3 + 5*s**2 + 21*s - 62. What is the remainder when t(5) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -178982 + 67413 = 1829*w for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -5*t + 4. Let y(z) = z + 1. Let j(g) = 2*n(g) - 6*y(g). Let m be j(2). Let u = -31 - m. Let h(o) = -9*o. Give h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -245*s + 35277 - 36257 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + (1 - -1) - -2. Let r be -6*(2 - -2 - d). Let o = r + 86\/5. Is o >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 4*z = -18, 0*n - 19 = 2*n - 3*z. Let l = -13 - -19. Let t(f) = -4 - f - l - f**2 + 9. Determine t(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-5 + 19\/4). Suppose -7*v = -r - 220. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -3*j - 3. Let y(w) = -w + 1. Let t(m) = -2*v(m) - 6*y(m). Let i = 14 + -4. Suppose -4*r = 3*k - i, -5*r + 8*r + 5*k = 13. Give t(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-207*b - 833*b + 587*b - 1075*b - 862*b)*(-2*b + 4*b + 0*b) to the form o*b + z*b**2 + l and give z.\nAnswer: -4780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1 >= 108\/735851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -261*g + 1119 - 13647 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11690 is divided by 245.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 2*n - 2. Let j(t) = -252*t + 6. Calculate -j(m) - 3*r(m).\nAnswer: 246*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 - 4*p**2 - 7*p - 4. Let j be q(-2). Solve 2*r = -j*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 141085212 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*b**3*c**2*h**2 + b**3*h**3 - 2*b**3*h**2 + 34*b**3*h + 2*b**2*c*h**2 - 14*b*c**2*h**3 - 17*b*c*h**4 wrt h.\nAnswer: 6*b**3 - 84*b*c**2 - 408*b*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 524 + -535. What is the second biggest value in 1\/6, u, 1\/95?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + (9 - 6) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -62 + 40 + (-6 - -13) + -9 + -4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -4*t**2 + 7. Let k(s) = -2*s**2 + 3. Let o(h) = 14*k(h) - 6*z(h). Let j(g) be the first derivative of -7*g**3\/3 + 40. What is o(j(d))?\nAnswer: -196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-3\/13)*p*p**(-10))\/(p**11*p)**(6\/11) assuming p is positive.\nAnswer: p**(-2256\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1501*f**3*g**3 + f**3*g**2 - 2*f**3*g + 27*f*g**2 + 2*g**4 + 3*g wrt g?\nAnswer: 9006*f**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11791*s**3 + 47142*s**3 - 11783*s**3 - 11781*s**3 - 11786*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 AM and 6:58 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-22)\/((-2)\/(12\/(-3) - -6)) and 64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 60737 = 5*g, 3*g + 5*b = 26976 + 9451. Let x = g - 1908. Let f = -30841 + x. What is f rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -832*g**2 + 0 + 2051*g**2 + 0 to k*g + b + z*g**2 and give z.\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*b = 145, -3*b = 2*q - 3*q - 133. Is (-3 - (q - 3))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - 7)\/(5 - 7). Suppose 3 = g + 2*g - u*t, -5*g + 28 = t. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 148*a + 3. Let f be p(2). What is the units digit of 36\/(-96) - f\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 47772 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2)*(3*f + 3*f - 3*f) + (-1 - 1 + 1)*((-f - 3 + 3)*(-4 + 4 + 1) - f - 2*f + 5*f - f - 2*f + f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:04 AM and 8:50 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4446 + 297888\/67. Which is bigger: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 490*s**2 - 9*s**3 + 2*s**3 + 699*s**2 - 1189*s**2.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, 2\/7, 23, -8.8?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12\/(-18) - (-22)\/6. Let b(u) be the first derivative of 3*u**2\/2 - 3*u + 262. Determine b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 8*s**2 + 2*s - 1. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5217 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -201221102100201 (base 3) to base 6\nAnswer: -1015051331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2 - 871*p - 95122. What is q(-128)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -2*x**3 + 2*x. Let c be ((1 - 12) + 6)\/1. Let f(j) = 12*j - 5. Let m(d) = 5*d - 2. Let k(y) = c*m(y) + 2*f(y). What is -10*k(b) - 5*p(b)?\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*z - 244 + 174 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**3 + 18795*t**2 + 32877*t - 9394.\nAnswer: (t + 2)*(t + 4697)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - r + 38144 = 1033140, 4 = r. What is h rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 482341468 - 482341500.99999905. Let p = -0.012 + 33.012. Let g = u + p. Round g to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 4*u**2 - 8*u + 7*u + 0*u**2. Let c(r) = -r**3 + 5*r**2 + 1. Let t be c(5). List the prime factors of q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 5*w + 11 = -0*m, 2*w = -10. Let c(o) = 2*o**2 - 2*o + 2. Let l(s) = 6*s**2 - 7*s + 7. Determine m*c(i) - 2*l(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 184 and 2254.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17*b**3 + b + b + 2*b - 2*b**4 - 3*b + 2 - 2*b to the form r*b**3 + a*b**2 + u*b**4 + t + o*b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2781 + 2782. Let y be (18\/(-156))\/((-3)\/(-6)). Which is the second biggest value? (a) -3 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**26)**(8\/15)\/((d*d**(-28))\/(d*d\/(d**(-18)*d))) assuming d is positive.\nAnswer: d**(898\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve d + 2*t = -5, -31 = -194*d + 189*d + 4*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -229.\nAnswer: -22.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + b + 8, -2*q + 7*b - 2*b + 1 = 0. What is the closest to 0 in -6, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 + 13*s**2 + 12*s - 35. What is q(-11)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/7)*j)**(-9))**(-19\/6)\/((j**0)**(-11)*(j**1\/j)**37) assuming j is positive.\nAnswer: j**(513\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16001\/12132 + 9\/674. Calculate the common denominator of -79\/189 and z.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -17a83b724 - 3?\nAnswer: -17a83b727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 23578*x**4 - 682*x**2 - x + 146682157.\nAnswer: 94312*x**3 - 1364*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*g + 10*g - 4*y + 30 = -7*y, 4*g + 2*y = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 540 divided by -54?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 222 - 121?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6\/7 (b) -17256 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the second derivative of 105*i + 2\/3*i**3 + 1\/21*i**4 - 88\/7*i**2 + 0. Let m(x) = 0. What is x?\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes before 9:59 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = f - 9*k + 4*k, -4*k + 9 = -f. Suppose m - 685 = -3*o, 0*o + 3*o - f*m - 669 = 0. Is 49 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29 + 21. Let p be 2\/(-5) - (-170)\/r. Solve -10 = -p*f + 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 66 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*q - 3110 = -2850 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 618*p**3 + 10695111*p**2 + 46272436680*p + 224623227.\nAnswer: 3*(p + 8653)**2*(206*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 597806.\nAnswer: 2, 11, 29, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 3*x + 4. Let c be l(3). Suppose 2*i + 3*i + 74 = 2*r, -4*r + 120 = -3*i. Let h = -22 + r. Solve 3*z - 5*z - h*m = 17, 12 = -c*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3*l = 2*q - 48, -30 = -2*q - 5*l. Suppose k = -4*v + 167, 4*v + 5*k = q + 159. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -0.2 (b) -4.5 (c) 5.8 (d) -41.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 176189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/(-1*(-6)\/207). Suppose f = -5*f + v. Suppose -4*b - 16 = y, -3*b = -2*y - 0*b + f. Solve 0 = t + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110101001011001011 + -11000110101?\nAnswer: 110100110010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*d - s - 16, 135 = -d - 4*s + 123 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 41*x**3 + 2*x**2 + 8*x + 19. Let p(y) = -323 + 163 + 4*y**2 + 167 + 14*y**3 - 3*y**2 + 3*y. Let t(h) = 3*l(h) - 8*p(h). Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 928 is divided by 222.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107*b**3 + 411*b**3 - 218*b + 820*b**3.\nAnswer: 1124*b**3 - 218*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1022305543 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1\/40 - 59\/40. What is the smallest value in u, 8, -1\/5, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 21 - 19. Solve 0 = -5*a + 2*h + 13, -3*a = -x*h - 2*h - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, -29, -2, 4, 59 in descending order.\nAnswer: 59, 4, 3, 0, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 390 divide 213616260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 10:25 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve t + o = 0, -2*t - 3*t + 2 = 3*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -48 + 55.3. Let x = 13 + -6. Let y = x - o. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1753922596 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 4, 119, 0.2975?\nAnswer: 0.2975","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 5*a**3 + 12*a**2 + 18*a + 21. Let q(w) = 9*w**3 + 22*w**2 + 35*w + 42. Determine -11*g(f) + 6*q(f).\nAnswer: -f**3 + 12*f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 5 - w**2 + 2*w**2 + 0*w**2. Let a(i) = -i**2 - 4. Let x = -6 + 10. Let j(y) = x*a(y) + 3*g(y). What is the first derivative of j(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0140186 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3d + -6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2 + 283029368*b + 10013202893809928.\nAnswer: 2*(b + 70757342)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.043 + -28.043. Let j = w - -28.09. Let r = 0.090047 - j. Round r to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 272\/(-32)*994\/(-119).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 - -8. Suppose -k*t + 660 = 4*q, -2*q = -t + 2*q + 185. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 18*a**2 + 17*a - 1. Let c be 160\/32*(-17)\/(-5). Calculate l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 8*s - 4. Let c be g(4). Suppose c = -4*l - 72. List the prime factors of (16\/(-5))\/(5\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 200, 3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/(-1 + -3) + 68 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1561 is divided by 57?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14001, -27974, -41919, -55836, -69725, -83586, -97419?\nAnswer: -111224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, -35, -66, -101?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -6*p + 6*p - 3 + 4*p. Suppose -3*j + 2 = -10. What are the prime factors of q(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32867000 rounded to the nearest 100000?\nAnswer: -32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 12:16 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70*i - 24 = 62*i. Let a(w) be the first derivative of -4\/9*w**2 + 0*w - 1\/18*w**4 - 8\/27*w**i + 7. Factor a(h).\nAnswer: -2*h*(h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1194, -1207, -1234, -1281, -1354?\n\"Answer: -d**3 - d**2 - 3*d - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 + 105*w + 666. Let y be k(-6). Solve -c - x = 1, y = -24*c + 21*c - 5*x - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.637 and 2.\nAnswer: 1.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-595)\/(-15) + (-1)\/6*4. Let s = 71 + 2. Let q = s - m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -136800*o**3 + 548912*o**2 + o?\nAnswer: -820800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13552, 13648, 13736, 13816, 13888?\nAnswer: 13952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3\/5 + 951*g**2\/5 - 45315*g + 45125.\nAnswer: -(g - 475)**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 64 = f. Let b = f - 40. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*z - 16 = 8*z. Let d(w) = -4*w. Let g(y) = -21*y - 5. Let f(x) = 32*x + 7. Let u(m) = -5*f(m) - 7*g(m). Determine z*u(a) - 14*d(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of 11*u**4\/12 + u**3\/2 + u**2 - 21*u. What are the prime factors of f(-3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from chc. What is prob of sequence cch?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126 is divided by (-12)\/(1*12\/(-27))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -x - 5*y - 77, 71 = -4*x + y. Let v be -1*x\/3 - 4. Which is the closest to v? (a) 3 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the second derivative of 1\/66*u**4 - 2\/11*u**2 + 1\/33*u**3 + 0 - 233*u. Let i(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12798169?\nAnswer: 157, 81517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = 6*p - 57. Suppose -p*o = 5*f + 2*o - 5, 15 = 5*f - 5*o. Solve 2*m = f*d + 3 - 13, -m - d - 3 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 12\/29 and 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -a7642a (base 14) to base 8.\nAnswer: -25467266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**0)**30\/(r**(-1\/5)\/(((r**7*r)\/r)\/r)))**(-2\/5))**(-3) assuming r is positive.\nAnswer: r**(186\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w + 0 + 0)*(4*w - 4*w - 3*w)*(10*w + w - 4*w)*(-21 + 165 + 20)*(2*w - 1 + 1) to the form g*w**4 + h + r*w**2 + q*w**3 + l*w and give g.\nAnswer: 6888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1 (b) -0.1 (c) 0.2 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 211*m + 151. Let i(u) = 422*u + 303. Let x(k) = 2*i(k) - 5*y(k). Differentiate x(v) wrt v.\nAnswer: -211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {f: 5, l: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.274 + -1.674. Which is the second smallest value? (a) -0.01 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-35*k**3 - 1 + 0 + 25*k**3)*(-1 + 1 - 3*k) in the form i*k**2 + y + z*k**4 + v*k**3 + a*k and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -75*w**2 - 65845*w + 21935. Let k(a) = 56*a**2 + 49382*a - 16451. Let r(s) = 11*c(s) + 15*k(s). Factor r(b).\nAnswer: 5*(b + 1096)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1014*a**3 + 3016*a**2 + 467*a\/6 + 1\/2 = 0 for a.\nAnswer: -1\/78, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 29 - 24. Suppose -3*y = -5*b - 133, i*b - 175 = -2*y - 53. Calculate the common denominator of -123\/10 and (-323)\/y*(-1)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -2*x**3 + 4*x**3 - 1 - x**3. Let y = -343 - -339. Let h(q) = -3*q**3 + q**2 - 2*q + 4. Let g(t) = y*z(t) - h(t). Suppose g(v) = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20747?\nAnswer: 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are 1281 and 1167 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 4*a + 43. Suppose 6 = -2*w - 4*z, 2*z + 7 = -2*w - z. What is the smallest common multiple of c(w) and 5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 PM and 7:46 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -15980, -12456, -8932, -5408?\n\"Answer: 3524*l - 19504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 136*h*r + 4*h + r**2 - 11805*r + 399220 wrt r.\nAnswer: 136*h + 2*r - 11805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 92 and 3703.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 203*n - 4646 + 7082 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41608.\nAnswer: 2, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 145790701?\nAnswer: 7, 20827243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 5*l - 4*r, 2*l - r - 3 = 0. Put l, 3\/7, -2\/5 in descending order.\nAnswer: 3\/7, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-60)\/7 + (-16)\/(-28). Let d be (0 - 2\/z)*12. Solve 31 = -3*j - 5*u, -3*j - d*u + 1 = 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*s - 56*s - 155*s + 6.\nAnswer: -171*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 373833 + -499814353\/1337. Let q = 2\/191 + a. Which is bigger: q or -31?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 268*u. Let b(q) be the first derivative of -q**3 - 180. Determine l(b(p)).\nAnswer: -804*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -87 - 47 = 9*m - 17 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 136411329.\nAnswer: 3, 571, 79633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 9\/4*(-55360)\/(-12). Suppose 2*m - 7393 = x - 2209, -c = -4*m - x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -3*a**3 - 14*a**2 + 40*a + 46. Give s(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*p + 9 = 13*p, h = -3*p + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/20*4*(-85 + 1). Suppose 3*w - m = -2*w - 76, 4*w = -5*m - p. Is w >= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-4*(-1*sqrt(448))**2 - sqrt(448)) + (-3 + -1 + sqrt(7) + sqrt(7) - (-3*(sqrt(7) + sqrt(7)*-1) - sqrt(7)))*-6.\nAnswer: -1772 - 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 4*m - 28, 11 + 19 = 5*a + 4*m. Solve -2*u = 8 + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27368149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 3 = 0, -5*z = 9*p - 4*p + 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 - 5*h + 17. Give c(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5150)\/(-300)*(-12)\/2. Suppose 5*r = 5*a - 430, -77 = 2*r - r - 4*a. Let p = r - d. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28019253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s + 29 - 5 = 0. Sort -1, 0, 2, s in descending order.\nAnswer: 2, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 - 18*z**2 - 30*z + 37. Let x be n(-16). Calculate the common denominator of -80\/39 and (-3)\/2 + 22*x\/(-6).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6227264?\nAnswer: 2, 97301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -685*h**3 - 38*h**2 + 34*h + 2. Calculate l(1).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 - 9*i - 24. Let x be d(11). Let c(h) be the second derivative of -h**3\/6 + h**2\/2 - 22*h. Calculate the remainder when 22 is divided by c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 5 = 5*y, -38*y + h - 4 = -42*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/176*12)\/((-14)\/(-336))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 10 = 2*g. Let c be (-2)\/g + (-2)\/(-9). Suppose c = -5*t - 5, -p - 4*p + 813 = 2*t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-2\/37)\/z**(-1\/22))\/((z\/(z\/(z**(-10)\/z))*z)\/z**7) assuming z is positive.\nAnswer: z**(13831\/814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -5 + 12 + 3*n**2 - 4. Let u be m(-2). What is the first derivative of u*q + 2 + 4 - 12 wrt q?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6 + 1)*8\/10. Let r(h) = -98*h - 35. Let v(f) = 11*f + 4. Suppose 72004*m - 72024*m = 700. Calculate m*v(x) + o*r(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y**3 - 24*y**2 + 6*y - 11. What is s(13)?\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000363505 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -20342*m + 20343*m - 4*u = -18, 2*u - 2 - 6 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 621 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-63)*1*(-21)\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4753 = -13*c + 35706. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -651*g + 3831 + 14761 = -757*g + 438*g for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -19.3 + 206.3. Let i = d - 190. Let r = 55\/159 + -2\/159. Which is the second biggest value? (a) i (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (36 + 19 - 13)*(2*d + 3*d - d).\nAnswer: 168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 17 = -19. Suppose z*a = 29 - 25. Solve 3*g = a*u + 3, 0*g - 3 = -3*g - 3*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 - -11. Let u = -35\/2 - -109\/6. Which is the closest to u? (a) 1\/3 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 194, 426, 658, 890, 1122?\n\"Answer: 232*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p. Let v(x) = -x**2 - x - 3. Let b(z) = 6*f(z) + v(z). Calculate b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 25 = -5*c - 183, -3*j = 3*c + 90. Let m = c - -98. Let x = m + -66. Solve x = r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from snnasatsansssastasa. What is prob of picking 1 a and 1 n?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be (63\/(-4))\/(3\/(-12)). What is the highest common divisor of v and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*i**2 + 0*i - 2*i - 11*i**2 to v*i**2 + t + y*i and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-88)*25\/(425\/(-51))*24\/(-126)?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from opeoppkeokepopoepko. What is prob of picking 2 o and 2 k?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*l + 26*t + 17*t + 50 = -14*t + 52*t, t + 48 = -2*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = 14*x + 35. Let c = 1.21 + 3.69. Let t = c + -4.4. What is the nearest to t in 5, -6, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*d + 107 + 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - 2*10\/(-4). Suppose -5*i = -w*i - 4. Find the third derivative of -s**2 - s**6 - i*s**6 + 0*s**6 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.3347 + -0.062509\nAnswer: -2.397209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes before 9:10 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -43 (base 5) to base 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 3 - 8)*(12*z**2 - 12*z**2 - 3*z**2) + 11*z**2 - 106*z + 106*z to j*z + k + b*z**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -4 and 62.78.\nAnswer: 58.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-1518)\/3220 - 2\/(26 - 6)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = 9 - 15. Solve k = u*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2125911 and 1281.\nAnswer: 14881377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**0*d)\/d)**41\/(d**(-1))**(-22) assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 899 + -898.9. Which is the second smallest value? (a) -3\/2 (b) 0 (c) 2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2816.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -970677*x**5 + 5*x**4 - 3181609*x**2 wrt x.\nAnswer: -58240620*x**2 + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -218*f - 113. Let z(a) = -73*a - 37. Let u(j) = -6*v(j) + 17*z(j). List the prime factors of u(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3*b = -14509, 5*x + 61*b - 63*b - 72519 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 3*i - 3. Let p be k(3). Let o = 1585\/16 - 97. Find the common denominator of o and 11*1*1\/p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 99\/4 and -1 + (-77)\/(-5) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pgpggggpgpgggggggg. What is prob of picking 2 g?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 222, 422, 622, 822, 1022?\n\"Answer: 200*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*t*v**3 + 41569*t*v**2 - 29*t*v - 6718511*v**3 with respect to t.\nAnswer: 5*v**3 + 41569*v**2 - 29*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 644977+-15978.9\nAnswer: 628998.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9197 - 9196.96119. Round d to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -514 (base 11) in base 9?\nAnswer: -758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - 0) + 5 - (4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7430 + -7430.3. Which is the nearest to -0.3? (a) d (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 0.5 (c) 0.2 (d) -2 (e) 0.48 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l*u*z**3 - l*u*z**2 - 5341*l*u - 3*l*z**3 + 3*l*z**2 + 110*u*z**3 - 42*z**3 wrt z?\nAnswer: 12*l*u - 18*l + 660*u - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 16 divided by -6843?\nAnswer: -16\/6843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract 48.11444 from 0.1.\nAnswer: -48.01444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of 11*o**9\/63 + o**8\/336 + o**5\/30 + 10*o**3\/3 - o**2 - 128*o. Find the third derivative of k(r) wrt r.\nAnswer: 10560*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 15.464 - -2.506. Let j = z - 12.8. Round j to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 391*u = -1065 - 734 - 1329 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 21043 (base 6) to base 5.\nAnswer: 42320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -176 = 3*l - 7*l + 4*h, 5*l - 3*h - 228 = 0. What is the remainder when l is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3.1 + -3.4. Let p be ((-21)\/(-5))\/3 + -1. Sort w, 2\/7, 19, p.\nAnswer: w, 2\/7, p, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times -7.9\nAnswer: -2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*k + 9*k**4 + 2*k + 8*k - 46 wrt k.\nAnswer: 36*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -2. Let u be -4*4\/(-8) + 1. Let j(n) = 7 + 2*n - u - 4*n**2 + 3*n**2. What is j(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.09*-136060.4\nAnswer: 12245.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1126*0.3.\nAnswer: -337.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5321.3 + -4926. Let q = -395 + m. Let i(x) = 2*x**2 + 2*x - 2. Let u be i(-2). Which is the nearest to u? (a) -9\/5 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 20 = -4*g, 4*g - 4*y + 4 = -0*g. Let h be g\/4 + 1 - 14190\/120. Let p = h + 218. What is the remainder when p is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 265*((-20)\/2)\/(-2). Let f = q + -928. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 645128684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/4, -6, 24.8 in increasing order.\nAnswer: -6, -5\/4, 24.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (15\/15180)\/((-10)\/(-380)) and 31\/55.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**1*w)\/w**(-2\/3))**46 assuming w is positive.\nAnswer: w**(368\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 27*q + 1103. Calculate c(-35).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-106)\/(-265)*54\/(-4) - 14\/(-2)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 777*i**4 - 1334 wrt i.\nAnswer: 3108*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g + 0*g + g - 24*g + 2.\nAnswer: -24*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*f + 11*f - 5 = -u, 5*f = 2*u + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -79*y + 76*y + 21 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/2097 and 47\/233?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes before 2:00 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 4*c**2 - 108*c + 638. What is the smallest common multiple of l(8) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*i + 127*i = 256*i + 120 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (30\/14)\/((-1215)\/630)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - r + 4. Let v(w) = -1. Suppose -3*y = -0*y - 51. Suppose 4 + 3 = -j - 2*m, -2*j - 5*m = y. Let b(s) = j*q(s) - 4*v(s). Factor b(l).\nAnswer: -l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 197936.676 minutes to weeks.\nAnswer: 19.636575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -52 + 52.4. Let a = 115.5 + -115. What is the second smallest value in 1, a, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5 and 4269723.\nAnswer: 21348615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 513 and 9363789?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/(-30)*(-285)\/(-19))\/((-3)\/20).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2\/(-2) + (-3 - -4) + 202 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -55 + -12 + 275 + -255\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10 + 3\/12*0. Let h be (-18)\/w + (6 - (-24)\/(-8)). Factor 3\/5*o**4 + 3\/5*o**2 - 9\/5*o**3 + 9\/5*o - h.\nAnswer: 3*(o - 2)*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 50 = -5*b, 6*t + 3*b - 184 = -154 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -602 by 218341.\nAnswer: -602\/218341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-1290)\/4 + 6)*18*(5 - 6).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from fqqqlrfrqfllrrrl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/16 and 79\/483154?\nAnswer: 3865232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2\/(-4))\/(1\/(-368)). Let p = 282 - n. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/8 + 26\/(-104). Find f such that 0*f - 2\/5*f**3 - 2*f**4 - 4\/5*f**5 + 4\/5*f**2 + k = 0.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 20*w**3 + 74*w**2 + 16*w + 164. What is n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -91600, -93960, -96320, -98680, -101040, -103400?\n\"Answer: -2360*d - 89240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 0.03 (b) 0.02 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 5*q**2 - 5*q - 2. Let l be w(6). Solve -3*a = b + a - 5, l*b - 2*a - 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0074284762 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 101 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.933 - -0.067. What is the smallest value in j, -2\/5, -11, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -286*f - 5 + 5 = 208*f - 59*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let h = 47\/547 + -61503\/21880. What is the common denominator of 37\/17*(-2)\/8 and h?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 130432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1680, -3379, -5078, -6777, -8476, -10175?\nAnswer: -11874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(-2\/5)\/h)\/h)\/h*h**(-4\/9))\/(h**(-8\/7)*h**(-1\/5)) assuming h is positive.\nAnswer: h**(-788\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -18 (b) 0.08 (c) -189 (d) 2\/13 (e) 0.1 (f) -5 (g) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 0*v + 0*v - v**2. Let a(n) = 24*n + 33*n + 34*n - 85*n. What is a(y(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 426357319 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*i**3 + 29*i + 89*i**3 - 18*i - 2*i**2.\nAnswer: 6*i**3 - 2*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 539 + -536. Let q(j) be the second derivative of 0 + 5*j + 0*j**2 - 5\/6*j**b. Let p(i) = -3*i. Calculate p(q(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, 4, 12, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -4*b**2 - 5. Let h(s) = -s**2 - 1. Suppose 18*r = 12*r - 6. Give r*n(g) + 5*h(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/((-2)\/(-3))*42*8\/(-72)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -55954784, -55954787, -55954790, -55954793, -55954796?\n\"Answer: -3*y - 55954781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + 1)\/((-2)\/(-62)). Suppose o*q = 32*q - 6. Solve v - 2*p - 4 = -p, 5*v + 2*p = q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 - -3330221301?\nAnswer: 3330221230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 19 + -69. Let p be 770\/6 - 0 - q\/75. Let h = p + -81. What is the greatest common divisor of h and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6)\/(-1)*(-16)\/(-24). Let m be (-8)\/34*n\/8. What is the biggest value in m, -1, -2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -5*x**3 - 180*x**2 - 345*x - 170 = 0?\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.07? (a) 80\/9 (b) -0.4 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -3*o + 79, -7*o + 127 = -2*o - 3*h. Let w = o + -22. Suppose 0 = -0*s - w*s + 108. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -25*x + 9. Let m be r(-2). Suppose 267 = 4*f + m. What is the remainder when f is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2311323297 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + l + l**3)*(-6 + 9 + 4)*(-77*l**2 + 75*l**2 + 79*l**2).\nAnswer: 539*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11783 + 11811. What is the biggest value in 0, i, 14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -v**4 + v**4 - v**4 + (-2*v**3 + 3*v**3 - 3*v**3)*(2*v - 4*v + 4*v) - 2*v**4 - 2*v**4 + 6*v**4 - 5*v**4 - 2*v**4 + 6*v**4.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*b - 45 = -12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-43 - 75 - -111) + 10 + 2 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(833) - (sqrt(833) - sqrt(833)*-1)**2*1 - (sqrt(833)*1)**2*3) + 5.\nAnswer: -5828 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 38*u - 39*u + 11, -5*u - 15 = 4*v. Let g(a) = 2*a**3 + 2*a**2 - 4*a + 1. Give g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 303\/99 + (-88)\/1452.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/(-6))\/(((-62502)\/(-12))\/(-11)). Let p = b - -25585\/22728. Factor -3\/8*j**3 - p - 3\/8*j**2 + 15\/8*j.\nAnswer: -3*(j - 1)**2*(j + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 3 d when four letters picked without replacement from dddccwcddcdddddcddb?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6439 + 11228. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -60, -157, -310, -513, -760, -1045, -1362?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -49083, -48968, -48779, -48516, -48179, -47768?\n\"Answer: 37*b**2 + 4*b - 49124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 4 - -5) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 145561\/43450 + -169\/50. Find the common denominator of -11\/474 and p.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*i*n*r - 15*i*n + 1526*i - 20*n*r + 4*n - 9*r wrt n?\nAnswer: -7*i*r - 15*i - 20*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 96*r + 13647. What is w(-143)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(3\/((-24)\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1751580062 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 the hundreds digit of 5071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -319*u**2 - 273*u**3 + 757*u**3 + 178*u**2 + 141*u**2.\nAnswer: 484*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2537 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xqbbrbh. What is prob of sequence rq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3152, -3414, -3822, -4352, -4980?\n\"Answer: 4*c**3 - 97*c**2 + c - 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**2. Let k be b(0). Let y = 547 - 545. Suppose 3*h + 2 = -2*v + 14, 4*h = -5*v + 30. Solve k = j - v + y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 4*p**2 - 6*p. Let r(j) = -7*j**2 + 10*j. Let h(x) = -10*c(x) - 6*r(x). Let z(b) = -49*b. What is h(z(i))?\nAnswer: 4802*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14 and 252.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (711 + 174*s**2 - 711)*(-10 + s + 12 - 2*s).\nAnswer: -174*s**3 + 348*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 14563, 116472, 393085, 931756, 1819839, 3144688, 4993657, 7454100?\n\"Answer: 14559*x**3 - 2*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 + 2)*(-3)\/(-6). Suppose 8 - q = -2*p. Suppose -2*v + 2*z = 0, -5*v - z - 15 = 3. Is p smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 7740 divided by 645\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2613997310.\nAnswer: 2, 5, 15907, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 5) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -53 + 65. Let m = 5 + 2. Let d = m - u. Sort d, 1, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(13\/5)*l*(l*l\/(l*l**(1\/30)*l))\/l*(l\/(l**(-7)*l))**9 assuming l is positive.\nAnswer: l**(1967\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a4 + 24?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = 2*z - 20, -161*z - 23 = 3*o - 163*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*n + n. Suppose 2*m = -5*a - 2*m + 3, -m - n = 0. Suppose 5*y + 2*f = 112, a*y - 68 = f - 3*f. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + 7 - (3 + -1). Let p = t - 4. List the prime factors of p\/12 - 14\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 100*q - 278*q - 214*q to g*q + u and give g.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-42)\/(-28))\/((-6)\/(-544)). Let b = -92 + z. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 95.90279 millilitres in litres?\nAnswer: 0.09590279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p. Let m(t) = 53*t + 2. Let b(f) = -2227*f - 85. Let u(j) = 2*b(j) + 85*m(j). Give v(u(x)).\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/(-4) + 0)*-42. Let z = c + -13. Solve -3*u - z = -5*k, -u - 2*u = -3*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3821 - -3836. Calculate the remainder when 31 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22422 - -22424. Let 40\/13*q**y - 24\/13*q + 10\/13*q**4 + 0 + 46\/13*q**3 = 0. Calculate q.\nAnswer: -3, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(4 + (-2 + sqrt(153))*2))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = n, -3*y - 2*y + 2*n = -40712. Is y a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from oxxxxgxoxgoxgogxoox.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmsg when four letters picked without replacement from {s: 4, g: 5, m: 8, c: 2}?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 830588 and 753489?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 + 8. Suppose c*h - h = -2. Solve -6 + 26 = -3*n - 5*j, 0 = -4*n + h*j - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w - 19*v = -20*v - 180, -2*w + 48 = -2*v. Sort 3, w, -4, 15 in increasing order.\nAnswer: -4, 3, 15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 3:35 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 157575868 to the nearest integer?\nAnswer: 12553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -5*h**8\/28 - h**4\/4 - h**3\/3 - 5*h + 75. Let t(x) be the first derivative of b(x). Find the third derivative of t(i) wrt i.\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 29 = -6. Let b = f - 4. What is the first derivative of -360*u - 3 - 18*u**b + 360*u + 21 wrt u?\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-1 + (-224)\/(-220)). Let l = 240 + b. Is (-45)\/l - 298\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of n**3\/3 + 2*n**2 + 3*n - 7. What is t(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1167, 0, 1\/7, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 41 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -49 (b) 0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 - 21*m**2 + 2146*m + 52. What is the remainder when 4679 is divided by w(37)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 40 = 3*p, 0 = -4*s + 8. Calculate the smallest common multiple of p and 114.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 24*x**2. Let o(m) = -53*m. Calculate q(o(l)).\nAnswer: 67416*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4268.8 rounded to the nearest 10?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1207.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + -20022221011?\nAnswer: -20022221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 + 7*d**2 - 2*d + 2. Let h be r(-3). Solve -14*b = -h - 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9a - 3?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -518.38*3\nAnswer: -1555.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -87 + 86.23. Let f = -1.5 + 1.52. Let j = t + f. What is j rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p**5\/5 + 2*p**4\/5 - 28*p**3\/5 - 38*p**2\/5 - 12*p\/5 = 0.\nAnswer: -2, -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -45*(3 + -2 - (-303)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 99292 and 1205.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ooggoogg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1056)\/(-80))\/11*5\/(-2). Let u(s) = 3*s + 4. Give u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49 and -61\/55527.\nAnswer: 55527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1660 less than -1416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4603 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 g = -456 - -324. Let d be (-254)\/g + 70\/(-84). Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -497*s + 35. Is 109 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*n - 0*n. What is the remainder when 22 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00659 to 4 decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 314*p**2. Let m be i(-1). Let y = -13 + m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -3\/4, 24, 2\/11, -3\/2, -6\/25, -72\/5, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 83*d**3 + 5*d**2 - 23*d + 327. Is h(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 583257 or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.53*-783.\nAnswer: 1197.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/9, -0.46, -1\/6, 7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/40 and -91\/1828.\nAnswer: 18280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 156 + 481*v + 493*v + 157 + 484*v - 313 - 1468*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 16) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -40449*d + 40728*d = -9765 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -5*z + 45. What is the remainder when 29 is divided by s(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -3*k**3 + k**2 - 8. Let n be y(-3). Suppose -9*q + 190 = n. Solve -1 + 7 = -2*b + g, 0 = 4*b + 4*g - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5401153377 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*j + 8 + 22. Let d = 18 + -12. Solve -d + 2*a - j*a + 9 - 6*a**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 - m**2 + 5. Let n be x(0). Suppose 2*w - n*w = -6. Differentiate -w + 9*b**2 + 13*b**2 - 19*b**2 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*y + 3*y + 36. Let q = 15 - y. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8.3 in 2\/17, -18409, 0.4, 6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2539189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - t + 2)*(-2 + t + 0 + 5) in the form s*t**2 + w + b*t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 7, v: 12}. Give prob of picking 1 v and 1 e.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5391*w + 7400*w + 724464 = 3503*w for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**2 + 7*n - 9. Let g be q(4). Let l be 0*(3\/g)\/(-1). Let x = 4 + l. Solve 0 = -i - 2 + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28291.6 rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-20) + (-882)\/(-90). Solve 26 = -9*f - y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*v - 16*v - 24*v + 5*v to j + s*v and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -987*l = 1063*l - 604*l + 27474 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.19 - -0.32. Let f = g + -1.36. Let y = f - -1.23000137. Round y to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + p = -62. Let d(w) = w**2 + 3*w + 1. Let j be d(-1). Let t = 12 + j. What is the remainder when p is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -95 + 102 + -32 + -20 + (-12 - 1) + 0\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x + 3. Let h be n(5). Let a be (-1)\/h + 60\/24. Let o = 125 - 127. Put o, a, 4, 6 in descending order.\nAnswer: 6, 4, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1412706159 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -5*t + t - 4*q, 2*q - 17 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9276559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -15 - (2 + -9) - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 791, 793, 795, 797, 799, 801?\n\"Answer: 2*u + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 50, 79, 110, 143, 178?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.5 and -0.1.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 13\/8*v**3 + 1\/8*v**4 + 5\/4 + 31\/8*v + 33\/8*v**2.\nAnswer: (v + 1)**3*(v + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -139a33 (base 13) in base 11?\nAnswer: -2a7543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 57*g + 33. List the prime factors of x(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u - 14. Let b be r(-7). Find the common denominator of (-2)\/b - (-332)\/63 and 40\/14*(-77)\/33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -11*p. What is the units digit of z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 13322451 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(68) + -5 + -5)**2.\nAnswer: -60*sqrt(17) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2634676 is divided by 357.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/((-495)\/6)*(-18)\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -472626*l**3 - 4*l**2 - 4589*l + 98 wrt l?\nAnswer: -2835756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 390.047 smaller than -1\/471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 342176606.\nAnswer: 2, 171088303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (24\/3)\/(2\/43). Suppose 3*f + f - p = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 32\/5 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2 + 6077680*n - 4617274272800.\nAnswer: -2*(n - 1519420)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t = -t + 325. What is the tens digit of ((-241)\/(-5) - (-13)\/t) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1342240*b**5 + 8*b**4 - 2*b**2 + 8*b - 471700 wrt b?\nAnswer: -80534400*b**2 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 + 3*i - 4. Let z(d) = d**2 + 21*d + 35. Suppose 3*p + s = 3 - 55, p = -4*s + 1. Let v be z(p). Determine c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 3*a = -6, -2*t - 2*a + 5 - 1 = 0. Let y(r) = 308*r - 308*r - t*r**2. Let u(l) = 5*l. Determine y(u(h)).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19 + 13 - 19)*(0*o**5 - 2*o**5 + o**5).\nAnswer: 25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -92549 rounded to the nearest one hundred?\nAnswer: -92500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 367171 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.037629 times 0.2\nAnswer: 0.0075258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (30 - 23 - (0 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 29399246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.52238l to millilitres.\nAnswer: 5522.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 607705 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1001010 (base 2) to base 6.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (5 - 6) + 2275 + -1.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**(-2\/13)*l)\/(l*l**9))**(-47))**34)**(-9\/4) assuming l is positive.\nAnswer: l**(-855729\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/((-612)\/(-493)))\/(7\/(-28))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/9)\/(1\/(-3)). Suppose 3*h + f*h = 0. Suppose -5*q = -5*k + 120, h = -5*k + k + 2*q + 88. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19265.7*1.8.\nAnswer: 34678.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2382*a**2 + 82 - 82.\nAnswer: -2382*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 5*s**3 + 0 + 11 - 7*s**3.\nAnswer: -2*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0285207 rounded to four dps?\nAnswer: -0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*w + 9*w - 16*w)*(4 - 5 + 0)*(-3 + 3 + 10) to s + r*w and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -683*u + 6408 = -1039*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-3*2*sqrt(85) - sqrt(85) - sqrt(85) - sqrt(85)*1*4))\/((sqrt(2205) + -1*sqrt(2205))*-2 - sqrt(2205)).\nAnswer: -12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.518*-5009\nAnswer: -2594.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 0 (c) 0.4 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor u**4\/3 + 11189*u**3\/3 + 3126705*u**2 + 2715789175*u\/3 + 264528152000\/3.\nAnswer: (u + 295)**3*(u + 10304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + j**4 + j**2)*(-3 + 0 + 2)*(-17*j - 7*j - 2*j).\nAnswer: 26*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 - 6*w + 7. Let u be x(-8). Let m be ((-6)\/u)\/((-6)\/(-261)). Let i = 44 - m. Calculate the greatest common divisor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -2) + -38 - (1526 - 1560)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -170149?\nAnswer: 170151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.14 - 2. Let n = o + -2.14. Let l be (-3)\/(-4)*(-20)\/(-18). Which is the nearest to 2\/9? (a) l (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63 + 62.984. Round m to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 63325, 126810, 190301, 253798, 317301, 380810?\nAnswer: 444325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16106670 and 2898.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*k + 10*k + 2*m + 196, -2*k - 4*m = -136. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/11)\/(v*v\/(v**(3\/4)\/v)*v))**(-6\/5)\/((v\/(v*v**(-2)*v))**38)**(-45) assuming v is positive.\nAnswer: v**(188517\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(2\/1) - -37. Let o be (-1)\/(-4) + u\/8. What is the greatest common factor of o and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9709 and 2151408?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 50 - (-24 + 79) - (1 + 0 + 18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/w**(-1\/2)))\/w)**(-41\/3)\/((w*w**4*w*w)\/w*w*w**2) assuming w is positive.\nAnswer: w**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 + (12 - 6) - -11. Solve 16 = -a*g + 23*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 135, 391, 767, 1263?\n\"Answer: 60*t**2 + 76*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of 5*h**4\/6 + h**3\/3 + h**2\/2 - 2*h. Let d be q(-1). Suppose 4*v = -y + 21, 6*y - 4*v = 2*y + 4. Solve -y*k = -d - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -126 + 129. Factor -217*m - 413 - p*m**2 + 31*m - 2470.\nAnswer: -3*(m + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6.44 + -6.27. Put w, -11, 4 in descending order.\nAnswer: 4, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 9:47 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2635\/9 + -293. Suppose v = 3*v. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -b3d8 (base 16) to base 14\nAnswer: -12ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 40 = 2*j. Let w = -5 - j. Let r(i) = i**3 - 2*i**2 + 5*i - 3. Does 6 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7 + 0.0076282?\nAnswer: -0.6923718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzuzzzuuzzzzunuz?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1014651 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = 4*s - 13 - 7, -s = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -14*s**5 - 10*s**5 + s**5 + 130*s**5 + 29054*s**3 - 29054*s**3 + (s**4 - 3*s**4 + 0*s**4)*(5*s - 3*s - 3*s).\nAnswer: 109*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 11324689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2 + 6*j - 3. Let w be p(5). Let y(c) = 5*c + 4 - c**w - 2 + 1. Let s be y(5). Solve 4*g + s*k - 1 = 0, 0 = -3*k - 0 + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 3, h: 1, j: 5, n: 1, p: 1, c: 2}. Give prob of picking 1 n, 1 a, and 1 p.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((0 + 4*(sqrt(192) + (sqrt(192) + sqrt(192) + -1*sqrt(192)*-1 - sqrt(192))))*-4 + -3)*-4)**2.\nAnswer: 36864*sqrt(3) + 7078032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 + 10. Let o = -4 - -4.5. Which is the third biggest value? (a) j (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 153, 1113, 3701, 8727, 17001?\nAnswer: 29333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 798*v**2 - 2*v. Let b be c(-1). Suppose 2*x = -2, 6*z - 5*x = z + b. Calculate the remainder when z is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*p - 1025*p**4 + 0*p**2 + p - 175 + 857*p**4 + 0*p**2 with respect to p.\nAnswer: -672*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70\/2 + 9896\/(-1237)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*f - f**3 - 2*f - 3*f**3 + 1 - 1 + (0*f - f**3 + 0*f)*(-2 + 4 - 3) + (-3 + 1 - 7)*(2 + 23650*f**2 - 4 - 41*f**3 - 23654*f**2).\nAnswer: 366*f**3 + 36*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1297359 is divided by 39309?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1048 - -663. Let k = w - -449. Is 64 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00905701162 to seven decimal places.\nAnswer: -0.009057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, 9, 13, 19?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 24858247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76786 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*q + 15*q - w - 28 = 0, -3*q + 3*w = -24. Which is the fourth smallest value? (a) 117 (b) -3 (c) q (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000097888 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -351043 (base 6) in base 14?\nAnswer: -ad47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1142 + 5732\/5. Let t(g) = 3*g + 5. Let j be t(-3). Find the common denominator of z and j\/(-26) - 682\/208.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*p - p. Solve 3*b + 5*n = -p*b - 20, -5*n = 5*b + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a + -320?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, c: 3, i: 1, f: 1, a: 1, s: 5}. Give prob of picking 2 c and 2 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 + 17*g**2 + 22*g - 615. Let t be q(16). Let n(z) = 4*z - 4*z**2 - z - z**3 + 17 - 3*z**2. Calculate n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/12*60\/(-42)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/(-25))\/(1*-2 - -1). Let r = z - -1\/3. Sort 2\/5, r, -5, -11 in increasing order.\nAnswer: -11, -5, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 5*t**5 - 1739845*t**4 + 151352161270*t**3 + 151355640970*t**2 - 151352161275*t - 151353901125 = 0.\nAnswer: -1, 1, 173985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2254 = 4*d + 1022. Let o = 311 - d. Solve s - o = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.007 and 125811?\nAnswer: -880.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2\/8 - 950601*a\/4 - 3327030.\nAnswer: -3*(a + 14)*(a + 633720)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 3*x**2. Let d(m) = -m + 1. Let s(r) = 4*r - 3. Let q(u) = 3*d(u) + s(u). Determine z(q(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 - -4. Let f be (-8 - -6) + 3\/r. Sort 1, f, 3.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-54 + 88 - (6 - 19)) + 14?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 2*z + 3 = 0. Let b = 88 + -92. Sort b, 5, z in descending order.\nAnswer: 5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 189 = 54. Let t = d + 27. Suppose -14*k + 5*k + 360 = t. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 1857*v**2 + 3. Let i(d) = -94*d. What is i(o(x))?\nAnswer: -174558*x**2 - 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 13 = 2. Let t(u) = 13*u + 14. Is t(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u**4\/5 - 6*u**3\/5 - 18*u**2\/5 + 54*u\/5 = 0 for u.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 15 = 2*j. Let l = -3 + 9. What is the lowest common multiple of j and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eetk when four letters picked without replacement from {t: 2, e: 3, k: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 5*z + 10*z + 10 = 0, -3*i = -3*z + 3. Suppose 1 + 3 = -2*s, -4*b + 112 = 4*s. Find the common denominator of i - ((-2)\/(8\/106))\/(-2) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/61620 and 103\/84.\nAnswer: 431340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 5, 554, 2\/9, 2\/25, -1\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -209\/5460 and 131\/90.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(1\/8)*z*z**(-1\/6)*(z**(2\/9))**(-2\/91) assuming z is positive.\nAnswer: z**(6247\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60107553, 120215103, 180322653, 240430203?\nAnswer: 300537753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -32e4 (base 16) to base 6.\nAnswer: -140152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 19 = 3*k + 11, 4*k + 5 = 3*l. Let f(o) = 10*o**2 - 6*o - 12. What is the tens digit of f(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((0 + sqrt(72))**2 + 4)*3*-1.\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 150843 is divided by 10769?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -87930.47 rounded to the nearest 1000?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 + -8. Suppose 3 = 5*c - 7. Suppose -2*m + 4 = 4*r, 4*m - 8 = c*m. Does r = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**2 + 5*v + 10. Let f be l(-2). Suppose 2*y - 458 = -4*z, 4*z = -f*y - 0*y + 460. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44546?\nAnswer: 2, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5\/22 - 9\/22. Let f = -0.1099 - -0.0099. What is the nearest to f in -1, z, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and ((-16)\/10)\/(4\/(-370))?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 263356603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 191\/15480 and 101\/6450.\nAnswer: 77400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 4, 35950, -0.3, -2, -5.\nAnswer: -5, -2, -0.3, 2, 4, 35950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3323223030 (base 4) in base 14?\nAnswer: 1cb96c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-6) + (-10047)\/(-1530) - 6. Factor 126\/5*h**2 - 128\/5 - 32\/5*h + u*h**4 + 32\/5*h**3.\nAnswer: 2*(h - 1)*(h + 1)*(h + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 17606*n - 1365 - 95*n**3 + n**4 - 494*n**2 - 17602*n + 95*n**3 wrt n.\nAnswer: 4*n**3 - 988*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1240 is divided by 409.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**3 - 6*c**2 + 65*c - 296. Give q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 186622453 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2\/3, 0, -4 in decreasing order.\nAnswer: 4, 0, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m*m*m**(-2\/5)\/m)\/m*m)\/m**(6\/7))**(-1\/2))**(-31) assuming m is positive.\nAnswer: m**(-279\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 9*d**2 - 10*d + 4. Let z be s(5). Suppose 3*w - 4*c + z = 5*w, 0 = 5*w + c - 90. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of i**6\/120 + i**4\/12 + 3007*i**2. Calculate y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/3989 + 546505\/23934. Let g be (-86765)\/(-5) + (-9 - -5). Let i = g - 676571\/39. Find the common denominator of q and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 533\/26*2 + 3*1. Calculate the highest common factor of 2024 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3ec3 (base 16) in base 9?\nAnswer: -24032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 38 and 2791879?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, m: 2, n: 2, f: 1, t: 1, x: 4}. Give prob of sequence nhmf.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -3318*a**3 - 13*a**2 + 3318*a + 13 = 0.\nAnswer: -1, -13\/3318, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-7 - -1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 - 13*j**2 + 22*j + 16. What is the remainder when 59 is divided by a(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -95167.65 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7334 + 7444.42. What is v rounded to 0 decimal places?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -770a56 (base 11) to base 12\nAnswer: -4b454b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/196 and 19\/540?\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -360 = -2*i + 170. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:18 PM and 8:06 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -237, -1454, -3485, -6330, -9989?\nAnswer: -14462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*f**4 - 740*f**3 + 20172*f**2 - 32032*f - 10816.\nAnswer: (f - 52)**2*(f - 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2*(3\/(-3) - -80). What is the common denominator of (d\/48 + 3)\/((-6)\/(-40)) and 99\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/987 and -40\/423?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-77)\/(-22)*8*(-15)\/(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -3*r - 3*u, 5*r - 2*u = -4*u + 68. What is the lowest common multiple of 860 and r?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 409727899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o**4 + 4776*o**3 + 1072576*o**2 + 63396480*o - 578278400 = 0 for o.\nAnswer: -922, -140, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 + -9. Let l = -4 + g. Suppose 2*v = -0*v + 5*i + 173, l*v - 4*i = 168. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes before 11:20 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-35)\/(-30))\/(-7)*2\/(-3)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is c9 + 1ca4?\nAnswer: 20a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -0.2 at least as big as 2364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the first derivative of 0*c + 147\/2*c**2 - 1\/18*c**6 + 14\/3*c**3 - 14\/5*c**5 - 110\/3*c**4 - 82. Solve v(r) = 0.\nAnswer: -21, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, e: 8, t: 4, i: 2}. What is prob of sequence to?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 8*y - 2. Let x be n(7). Suppose g - 2*g - 5*b + 33 = 0, 5*g - 2*b = 84. Calculate the highest common factor of x and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3)\/4)\/((-10)\/(-8)). Let b = 177198 - 5138744\/29. What is the closest to b in 1\/6, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/37607396 and 71\/52.\nAnswer: 488896148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 208*l**3 - 78*l wrt l?\nAnswer: 1248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1485, -2968, -4451?\n\"Answer: -1483*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - (-4 + -1)) + (53 - 69).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 70 + 49 = 109, 3*m + 100 = -5*d for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-680)\/272)\/(10\/(-8)). Solve i*v - o = 8, -11*v + 7 = -8*v - 4*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/(-4)*40\/6. Let r = -364 + 776. Let h = r - t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -6 and 0.0300251.\nAnswer: -0.1801506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p**(-1)*p*p)**(1\/78))**(-23\/6))**(-2\/87) assuming p is positive.\nAnswer: p**(23\/6786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from nxmxxnjxkj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 3*u**2 + 9*u - 2. What is the remainder when 19 is divided by y(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b - 5. Suppose -8 = -w - 1. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*r - 2*r + 10 - 1 - 10 to the form k + w*r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -523*y - 11040 = -26*y + 55*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 4*b**2 + b - 1. Let w(x) = 3*x**2 + x - 1. Calculate 7*w(u) - 5*z(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4*(1 - -1)\/(-2)*2. Let o(q) = -154*q**4 + 8*q - 2. Let n(p) = 51*p**4 - 3*p + 1. Let h(a) = i*n(a) - 3*o(a). Find the first derivative of h(l) wrt l.\nAnswer: 216*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 19753684 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -16 - (5 + -18)*11830\/9646\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*r - 4*r - 13. Let q(o) = 1. Let n(m) = 2*m**2 + m + 1. What is r*q(z) + n(z)?\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 267*p**2 - 48*p - 98. What is m(-1)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -2*d**2. Let f(v) be the third derivative of -3*v**5\/20 - v**3 + 26*v**2. Let q(b) be the first derivative of f(b). What is i(q(g))?\nAnswer: -648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -13c1735 (base 14) to base 10\nAnswer: -9608163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 23455 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: What is the third derivative of -1353224*g**3 - 1330549*g**2 wrt g?\nAnswer: -8119344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of n**5\/390 + 3*n**4\/52 + 8*n**3\/39 + 19*n**2\/2 + 20. Let u(w) be the second derivative of v(w). Factor u(y).\nAnswer: 2*(y + 1)*(y + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -2*o + 9. Let i(l) = 13*l - 1413. Let k be i(109). Factor 0*a**3 - 5\/2*a + 0 - 5\/4*a**k + 15\/4*a**o.\nAnswer: -5*a*(a - 1)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -5*i**2. Let t(w) be the third derivative of w**8\/20160 + w**5\/10 + 11*w**2. Let u(y) be the third derivative of t(y). Determine u(z(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.09 (b) -0.2 (c) 0.5 (d) -2 (e) -9 (f) 60\/7 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 2*a + 1. Let d(u) = 1. Let k(t) = -5*d(t) - q(t). Let x(n) = -1. Let j(l) = -k(l) + 3*x(l). What is the units digit of j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 23 + c**2 - 2*c**3 - 60 - 58*c + 19 + 17 as z*c**2 + a*c + w*c**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x**2 + 2*x**2 - x**2)*(-3*x + 4*x - 4*x) + x**3 - 4*x**3 + x**3 + (4*x - x - 2*x)*(x**2 + x**2 - x**2).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/18 + 74\/9. Let g = k + -13. Let r = 6 - g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*a + 40 = 7*a, 0 = 2*j + 5*a - 30. Suppose 188 = 4*d - 4*x - 120, j*d - x = 365. Calculate the greatest common divisor of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*q + 212 = -0*q + 152 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 5.620201 milliseconds?\nAnswer: 0.005620201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*i*n*t**2 - 78*i*t**2 - 10267722*i - 16*n*t**2 - 2*n*t + 362*t**2 wrt t.\nAnswer: 10*i*n - 156*i - 32*n + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 4991*j - 4. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -0.85, 0.3, -0.1, 670.\nAnswer: -0.85, -1\/5, -0.1, 0.3, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -3*b - 5. Let f be s(-3). Solve -9 = r - f*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6603 - -6607.521. Let f = l - 4.5. Let a = f - 0.021045. What is a rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1a992 - -3?\nAnswer: -1a98e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6009597180.167 from -19.\nAnswer: -6009597199.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 - 3*j**2 + j - 1. Suppose 2*o - i - 2 = 0, -4*o + 4*i = -0*o. Let l be a(o). List the prime factors of l\/(-9) + 76\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**3 - 75*y + y**3 + 72*y.\nAnswer: 2*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2581939460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11172 - 11172 + 6*f**2 - 4*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10012 - -1010211?\nAnswer: 1021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 7. Suppose 0 = 2*n - s + 1. Let p = 23 + -8. Solve -r + 5*i = p, n*r + 4*i = -2*r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*l - 8*l + 124. What is the remainder when l is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 16 = j. Let r = -5 + j. Solve 3*k + 6*v - 3*v = r, -3*k = -3*v - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1112000000 (base 3) to base 16\nAnswer: 74c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 4*u**3\/3 - 25*u**2\/2 - 13*u - 2. Let p(q) = 7*q - 20. Let m(v) = 4*j(v) - 5*p(v). Let l(f) = -174*f**2. What is l(m(i))?\nAnswer: -1566*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 4*x + 5*f, -4*x - 4*f + 15 = -25. Let s(y) = 3*y. Let l be s(x). What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 PM and 3:59 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 - 8*d - 11. Let s be f(-5). Suppose 20*c - 5*c + s*c**2 + 48 + 13*c = 0. What is c?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, -5, 3, 2, 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 202293*o + 202292*o = 95, 0 = -s - o - 46 for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1003, -4056, -9161, -16318?\n\"Answer: -1026*r**2 + 25*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 4*b - 142. Let g be 39 + 0 + (0 + -27)\/9. Let r be l(g). Solve -3*h + 2*x + 3 = 2, -h + r*x - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*((-45795)\/1136 + 40).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(13) - (sqrt(52) + sqrt(13)))**2 + 2 + sqrt(13) + (sqrt(13) + sqrt(1053)*1 + sqrt(13))**2 + 3).\nAnswer: -6520 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 698*r + 1861 - 3710 + 2691*r + 1849.\nAnswer: 3389*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-565)\/15 + 3\/(-9). Let x = c - -22. Let j be x\/(-7) + 8\/(-28). What is the nearest to -2\/3 in -2\/9, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*t - 48*t = 138*t - 12264 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {g: 7, o: 4, m: 2, t: 1, r: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -3*l**4\/4 + 72*l**3 - 4821*l**2\/4 - 27297*l + 28431 = 0. Calculate l.\nAnswer: -13, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 + -3. Suppose y = 2*y + 5*j - s, -3*y - j = -12. Let d = 1.1 - 1.3. Which is the smallest value? (a) -5 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*o - 5. Let g = 3 + o. Suppose 0 = -5*u + g*a - 12, a - 2*a = -1. Are u and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(2\/9)\/(v*v**(2\/23)\/v))\/((v**27\/v)\/v*v*v*v**(-6)) assuming v is positive.\nAnswer: v**(-4319\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000029583 to 7 dps.\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2\/5 + 38318*t\/5 + 8615424.\nAnswer: -2*(t - 20224)*(t + 1065)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.2 + -3. Let f = u - 0.2. Which is smaller: -8 or f?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -361 + 2?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*k - 204 = 16*k. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -574\nAnswer: 1\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-2*sqrt(78) - sqrt(78))\/sqrt(6).\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7270684 micrograms in kilograms?\nAnswer: 0.0000000007270684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -249*n - 137 = -53*n + 1431 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -160, -632, -1418, -2518, -3932?\n\"Answer: -157*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17\/(-374)*11)\/((-5)\/(-310))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 320 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 7:29 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 + 5084)*13\/(39\/84). Suppose r - 637331 = -17*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 12, -2 in increasing order.\nAnswer: -3, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(-2\/11)*g\/(g**5\/g))\/((g*g\/(g**3*g*g*g))\/g*(g**(-3\/4)\/g)\/g)*(g\/(g\/(g*(g\/g**(-1))\/g)))**16\/(g*g\/g**(1\/4)*g*g*g)**(12\/7) assuming g is positive.\nAnswer: g**(9175\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 6 = -5*u, -5*u - 7*p = -4*p - 22. Solve 5*s + 3*o = -3 + u, 2*s = 4*o + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 15, 5, -8, 4, 833.\nAnswer: -10, -8, 4, 5, 15, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -5, -10\/7, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/((-9)\/2))\/((-264)\/(-5148)). Solve 1 = -7*u - k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1815 and 332985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (10*y + 12*y + 7*y)*(3 + 1 + 0 + (4 - 4 + 1)*(3 + 2 - 3)) as s*y + t and give s.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/106522575 or -1?\nAnswer: -2\/106522575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from {m: 17, r: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1, 0.5, -6\/25, -0.2, 47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -551*k**2 - 287*k**2 - 706*k**2.\nAnswer: -1544*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -8636*k = -8154*k + 15424 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 59 + 10?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 386 + 189. What is the greatest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*q - q - 18 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/14268 and 19\/12?\nAnswer: 14268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve a = 15*a - 2*a - 96 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*v**2 + 7*v**2 + 11*v - 3 + 0*v**2 + 17.\nAnswer: v**2 + 11*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 17 (b) -5\/7 (c) 1 (d) 2\/19 (e) 0.5 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -934*o**2 - 4673*o - 10. Give z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -p**3\/2 - 253001*p**2\/2 = 0. What is p?\nAnswer: -253001, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -27.77222265 to 3 dps.\nAnswer: -27.772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1814558.393776 - 1814785.4. Let x = 227 + t. What is x rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*p - 10308544 = -121*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*z + 838 - 173 = 0. Let v be 29 - z - (-29 - -2). What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*l - 8. Suppose 4*n + l*x - 22 = 0, -5*n + n = -4*x + 8. Solve -p = -n*p + 8, -2*a + p - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) - (-3 + sqrt(7) + sqrt(7) + 3))**2 - ((sqrt(448) + -2)**2 + sqrt(448) + sqrt(448)).\nAnswer: -445 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 381, 717, 1053?\n\"Answer: 336*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 4*x**2 - 5*x - 24. Let v be g(-3). Suppose -v*q + 34*q = 42. Solve a = -2*a, -q = 2*w - 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -19628 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(-6) + 132\/9. Is (a\/(-4))\/(-7)*514 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -839 - -836. What is the closest to -2 in 0.7, s, -4, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 53, 102, 151, 200, 249?\n\"Answer: 49*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 - 61 = 5*x. Let p be 2\/6 - 240\/x. Suppose -t + p = 2*t. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w - i - 1 + 16, -4*w = 5*i - 27. Let x be (-39)\/(-6)*w*-2. Let n = x - -79. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.57 + -0.17. Let u = d + 2.6. What is the third smallest value in -4\/9, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t - 63960 = -16*t. Is t a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 3*s + 10 = 0, -5*s + s = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 56 + -53 - (0 - 1)*0. Solve h - 2*t = 0, 0 = 3*h + b*t - 8*t - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1017 and 10272.\nAnswer: 3482208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 701*h - 21718. Calculate p(31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/203 in -2\/15, 12\/29, 0.1, -3\/7, -2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/2)\/(((-32)\/(-16))\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**3 + 527*n**2 - 1164*n + 59865. Calculate i(525).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 1 + (-2 - -4) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of -7\/90*c**5 + 0*c + 2\/45*c**6 + 0 - 3*c**2 + 0*c**3 - 1\/105*c**7 + 1\/18*c**4. Factor k(o).\nAnswer: -2*o*(o - 1)**2*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134451 plus -0.3?\nAnswer: 134450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/((-2)\/(-26)))\/(54\/18).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (24\/(-36))\/((-2)\/15). Solve 2*r - 5*o + 28 = 0, -g*r = 2*o - 0*o + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 167*c - 166*c - 4*v - 31877 = 0, 5*v + 95687 = 3*c. What is the highest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1429201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bqdbbdbbbbbdbbdbbdbb. Give prob of sequence bd.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -33 + 33.11. Let r = -16.32 - -16. Let d = r + 0.52. Which is the third biggest value? (a) d (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.13 + -4.13. Let r = -1.4 - -10.4. Let o = 7 - r. Which is the nearest to -0.1? (a) o (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32*j**3 - 66*j**3 + 2 - 2 + 1 to the form w + k*j**3 + m*j**2 + b*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 96 divided by 426296\nAnswer: 12\/53287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 2. Let j = 6 - z. Let p(w) = 3*w + 0*w - j*w + w**3 + 0*w + 2*w**2. Calculate p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38*d + 38*d + 82*d**4)*(4*d - 1 + 3 - 3*d).\nAnswer: 82*d**5 + 164*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*g - 3*m + 158 = 0, 560*m - 42 = 5*g + 559*m for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -172 - -203. Suppose 0 = -d*n + 40*n + 720. Is n smaller than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1927667869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -5*f - 3. Let a be x(-2). Let w(u) = u - 9. Let m be w(a). Let c be -8 + 0 + 1*m. Let b(y) = 6*y. Let g(v) = v. What is c*g(p) + 2*b(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -33029?\nAnswer: -33025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -382729*c**2 - 3*c + 1153236 wrt c?\nAnswer: -765458*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -11? (a) -2\/13 (b) -2\/15 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 12:11 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -3*(sqrt(52)\/sqrt(4))**2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 - -13?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -46 + 293 + -115 - 147?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -70629342 and 1.\nAnswer: -70629342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 24\/13 + 16\/13*b + 2\/13*b**2.\nAnswer: 2*(b + 2)*(b + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -645.69 - -639. Let g = m + -58.21. What is g rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8181135 and 2295?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2426?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 76*q - 516. Let r be v(7). Let a = 12 + -5. Solve -a = 3*m - r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1700) + 4 + -1*sqrt(1700) + (sqrt(1700) - (3 + (0 + sqrt(1700))**2)).\nAnswer: -1699 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 2\/133, -1\/6, 3\/4, 0, 0.01, 9\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/4536 and 77\/48.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 2 a when four letters picked without replacement from cacuuucau?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -6*c**2 - c. Let y be v(-1). Let d = 9 + y. Solve d + 0 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -41\/3 in -23492, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve b = 2*v + 9, -v = -2*b - 486 + 492 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 + 43. Factor -14*u - 30 - 6*u**2 + u**2 + x*u.\nAnswer: -5*(u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -194230 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 5*w + 18, -2*j = 2*w + w + 16. Let z be (8 - 2) + j - 2. Solve -5*o + 2*n + 5 = 0, -8 = -z*o + 3*n - n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 78 = 110*w - 113*w + 4*p, 5*w = -4*p + 62 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 20 = 4*s, 3*s + 5*o + 6 = 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4150*s + 409*s**2 + 4150*s.\nAnswer: 409*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 580 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 125396, 248331, 371266, 494201?\n\"Answer: 122935*z + 2461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2952 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*v - 52*v - 13302 = 0. Let r be (v\/(-12))\/((-3)\/8). Suppose 3*w = 4*a + w - r, 2*a - 3*w = 1486. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10 + 13. Suppose 4*h - c = -7. Suppose 0 = -2*a + 4*r, -13 = -a - h*r - 1. Calculate the lowest common multiple of 22 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0 and -1558355?\nAnswer: 1558355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, j: 4, t: 3, f: 1, g: 1}. Give prob of sequence fd.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 74 and -2340034.\nAnswer: -173162516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**7*w)\/(w\/(w\/((w*w\/(((w**(3\/4)*w)\/w)\/w))\/w*w)))*(w**(-2))**(-27)*((w**(-5))**(-28))**(2\/17) assuming w is positive.\nAnswer: w**(5183\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00024597201 rounded to 6 decimal places?\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 225*o**2 - 493*o**4 - 225*o**2 + (2 - 4 + 1)*(-21*o**4 + 8*o**4 - 14*o**4) to the form h*o + f*o**4 + g*o**2 + l + t*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 PM and 11:15 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 291402346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12851998 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * -264960.\nAnswer: -794880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2648 + 5986*d**2 - 1316 - 1332 to the form a*d**2 + j + v*d and give a.\nAnswer: 5986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, 0.2, 12.\nAnswer: 0.2, 12, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 332600 - 332342.0308. Let j = t + 0.0308. Let z = 257.9999839 - j. Round z to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 417809973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 47, 0.6, 0.5, -3, -0.1?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-113 + 113 - 43*m)*(-7*m**2 - 167*m + 167*m) to the form a*m**3 + y*m**2 + n + r*m and give a.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 111419, 111221, 111023, 110825?\n\"Answer: -198*t + 111617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 561324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(55) + sqrt(55)*-2)*-2)\/((sqrt(121) - ((sqrt(121)*2 - sqrt(121)) + sqrt(121)))\/sqrt(11)) + 1 + sqrt(5) + 1 + sqrt(5) + sqrt(15)\/sqrt(3) + 4 + 4.\nAnswer: sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 3505 = 4*n, -2*g - 1671 + 252 = 5*n. Let i = 7109 + -4994. Let b = i + g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/528*55)\/((-15)\/(-144))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 - -2. Suppose -d = -2*m + 11. What is the tens digit of 242\/m - (-1)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2128*z**2 - z - 2 + 2134*z**2 + 2*z)*(4*z**2 - 6*z**2 + 4*z**2) in the form j*z**3 + k*z**2 + m*z + g*z**4 + w and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5831 - -107?\nAnswer: -5724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.4 (b) -2\/57 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - (-2)\/((-2)\/(-2)). Let b be 9\/((r + 1)\/3). What is the nearest to -1 in -2, b, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -24 from -649.\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5933\/(-7) + 16\/56. Let v = 843 + x. Which is smaller: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5167934 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 2\/33 (d) -0.4 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -0.5, 0.03, 0.3, -83 in descending order.\nAnswer: 0.3, 0.03, -0.5, -12, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 3 + 5*o**2 + 6*o + 2*o**2 - 7*o + 47*o + (0*o - o - o)*(-4 + 3*o + 4) in the form y + l*o**2 + v*o and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-54 + 51 + (0 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the first derivative of 3\/10*k**6 + 9 + 0*k + 0*k**2 + 1\/20*k**4 + 0*k**3 - 6\/25*k**5. Factor n(c).\nAnswer: c**3*(3*c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -5533*b**2 - 4*b - 9. Let i be a(7). Let p be (-5)\/((-45)\/513462)*3. Let s = i + p. Round s to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 2454188186*r - 2454188186*r - 4*r**2.\nAnswer: -4*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -270*f**3 - 56*f**3 + 39*f**3 + 2 - 2 - 2*f**3 + (-3*f + 3*f + f**2)*(5*f - 2*f + f) - 2 - f**3 + 2.\nAnswer: -286*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36 - 6*m - 36 + (2814 - 5546 + 2788)*(-m + 3*m + m) to r*m + c and give r.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 805*y**2 - 723*y**2 - 3287*y**2.\nAnswer: -3205*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 77 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25275072515 - 25275072646.49994371. Let h = -131.5 - r. Round h to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-396)\/260 + 184\/115)*-949.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/221688 and -71\/246320?\nAnswer: 2216880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 46245 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 0 + 0)*(11 - 11 - w) + (4*w + w - w)*(-5*w + 6*w - 4*w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -5*j + j**2 + 2*j - 14 + 14. Let q be x(4). Suppose -2*y + 8 = -q*y. Is y bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.29, 0.3, 6, 30 in descending order.\nAnswer: 30, 6, 0.3, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 34 plus -387.420193?\nAnswer: -353.420193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1100440340 (base 5) in base 2?\nAnswer: 1000111111111000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of 7 + 1\/2*i**2 - 3*i. Determine w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -4*d**2 - 7*d - 7. Let l(u) = -3*u**2 - 5*u - 5. Let b(y) = -5*i(y) + 7*l(y). Let x(w) = w**3 + 5*w**2. Calculate 3*b(g) + x(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 268*t**2 + 36*t - 2992. Let u(n) = -537*n**2 - 78*n + 5983. Let y(z) = 13*l(z) + 6*u(z). What is the derivative of y(o) wrt o?\nAnswer: 524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16990, -33981, -50972, -67963?\nAnswer: -84954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 883\/2 + -2645\/6. Let s = 8.3 - 8. Let u = -0.1 - -0.1. Which is the third smallest value? (a) s (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.574 - -728.574. Let k = 11643.59953 + -12370.5921. Let i = k + p. What is i rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.4 - 42.4. Let z = p + 36.99929. What is z rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 + o + 1597. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * -1449.53.\nAnswer: 2899.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -163.24041 rounded to zero dps?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 221 + -221.3. Which is the closest to 0.3? (a) 1.4 (b) t (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -4*q**3 + 2*q**2 - 4*q - 2. Let o(x) = 3*x**3 - 3*x**2 + 3*x + 1. Suppose 4*w = w + 6. Let y(r) = w*m(r) + 3*o(r). What is y(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -3*t**2 - 8*t + 5. Let h(w) = 3 - 38*w**2 + 74*w**2 - 38*w**2 - 4*w. Let o = -62 - -57. What is o*h(d) + 3*k(d)?\nAnswer: d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/1171072 and -11\/21?\nAnswer: 3513216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 5 + (sqrt(245) - (0 + sqrt(245) + 0)) + -3 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9856 and 17248.\nAnswer: 68992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 157911 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = n - 297, 756*n = 752*n - 5*y + 1256. Calculate the greatest common factor of n and 2987.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 502 is divided by 128?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 5*a**3 - 18 - 9 + 7 - 7*a - 7 - 4*a**3 in the form z*a**3 + k + r*a + w*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -15, -25, -43, -69, -103?\n\"Answer: -4*k**2 + 2*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**2. Let x(u) = 3*u. Suppose 0 = 9*r - 4*r - 55. Let o(q) = -9*q. Let f(w) = r*x(w) + 4*o(w). Determine b(f(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/6 + (-100)\/(-12). Find l, given that -l**2 + f*l**3 + 6*l**4 - 2 - l**2 - 8*l - 2*l**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 1101?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of i**3\/3 + 8. Let a(f) = 28*f**2. Determine a(l(b)).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1.933, -0.2, -852 in increasing order.\nAnswer: -852, -1.933, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 + (11 - (3 + 7) - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 44536 and 18.\nAnswer: 400824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (3*n - 6*n + 0*n)*(0 - 1 - 1)*(-49 - 51 - 5 + (2 + 1 - 5)*(3 + 1 - 3)) as o*n + j and give o.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 - 16*d + 23. Let t be u(17). Let g = 251 + t. Suppose 22*o = 19*o + g. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*3274\nAnswer: -9822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19.52 - -20. Let w = -0.243 + u. Let d = w - 0.23699673. What is d rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -499460 by 7684.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/9 + 382*i\/9 + 36481\/9.\nAnswer: (i + 191)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175 is divided by 99?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 413 + -404. Suppose 30*i + p = 27*i, -5*o - 4*i = -28. Solve -o*s = -s + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 3922213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 times -162679.6?\nAnswer: 130143.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be (63\/12 + 3)*4. Suppose 0 = -2*j - 3*u + 14 + 12, -3*j - 3*u + p = 0. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d**4 - d**4 - 5*d**4)*(-118*d + 82*d + 70*d) - 21*d**4 + 21*d**4 - 7*d**5.\nAnswer: -75*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5\/2 + -27\/10. Let s = -4 - -3.8. Let j = s + 0.1. What is the biggest value in -1\/3, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -3*f**2 + 0*f**2 + 22*f**2. Let s(i) = -4*i**2 + 6*i + 15. Let l(z) = -58*z**2 + 88*z + 220. Let d(b) = 3*l(b) - 44*s(b). What is n(d(g))?\nAnswer: 76*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5\/4 (b) 28 (c) -0.3 (d) 0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20914828.\nAnswer: 2, 11, 17, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4457938927002 + -5?\nAnswer: 4457938926997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34\/50*7\/14 + 441\/(-1470).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = -4*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/2 + (-10)\/4*-15. Let w = y + -44. Calculate the remainder when 47 is divided by (w - 3)*(3\/3 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of x**7\/105 - x**6\/20 + x**5\/10 - x**4\/12 - 4*x**2. Determine i so that h(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 63.000351 - 63. Round u to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1\/9 (b) -2 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Do 17\/4513 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((k**(2\/5))**(-2\/27))**37)**32)**(-18) assuming k is positive.\nAnswer: k**(9472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -2*f - 6. Let x be d(-4). Suppose 0*o + 2*v = o - 65, 5*o + x*v = 337. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 195.85 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.44 - -18.56. Let y = 11 + l. Let f = 30.34 - y. What is f rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, 3\/7, -0.24?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -109966 (base 13) to base 14.\nAnswer: -a315d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 5:36 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -82*o**3 - 14*o + 17*o - 7*o + (o**2 + 4*o**2 - 3*o**2)*(-o + 2*o + 0*o) in the form j*o + v*o**3 + x*o**2 + g and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2011 - -5?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 4*m = -5*p - 16, 4*p = 0. Calculate the remainder when -2*5\/2*-6 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -675*u**3 - 2*u**2 - 3*u - 2. Let g be p(4). Let f = g - -174121\/4. Let x = 293 - f. What is the common denominator of x and -79\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -97\/15 < -0.0071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -36*t + 3116. What is the remainder when u(24) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/58 and -8\/145.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 + -10. Suppose -w + 16 = 3*n. Factor 3*y**2 - 11*y**2 + 6*y**3 + n*y**2.\nAnswer: 3*y**2*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 - -4)\/(3\/(2\/2)). Solve 3*u = 3 - r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(1175\/238) + (-1)\/1)\/((-139)\/695)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, 23, 63, 125, 215, 339?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -306649.431 to the nearest one hundred.\nAnswer: -306600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 32*p + 305. Calculate the remainder when 217 is divided by u(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/(-1))\/(3\/(-12)). Suppose -5*p + 6 - s = 0. Find the common denominator of p\/(-4)*133\/77 and -91\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42 <= 8.9457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 237*l + 12604 = -193*l - 118*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of 13*x**2 + 5*x + 7. What is the tens digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1561323 centimeters in meters?\nAnswer: 0.001561323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 966 and -0.7?\nAnswer: -676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-6)*12\/(-28)*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/81 or 0.27556?\nAnswer: 0.27556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:22 AM and 7:34 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 950*n = 951*n + 2. Suppose 3*d - d = 8. Put n, d, -13, -5 in increasing order.\nAnswer: -13, -5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -500*o - 514*o + 6 + o**3 + 1502*o - 502*o - 2*o**2 in the form d*o**3 + q*o**2 + g + u*o and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of -m**3\/6 + 1123*m**2\/2 + 13*m. Let d be t(0). Suppose -5*b - 48 = -d. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**3 - 12*p**2 - 147*p - 1126. What is n(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -385 + 401. Solve -x = 4*q + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 1567, 2, 218, -4, -3.\nAnswer: -4, -3, 2, 31, 218, 1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1 + -26 - (13 + (-127 - -125))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 3*h + 9 = 0, -14*r - 5*h - 49 = -15*r. Solve 6*p - 2*p = 3*q + r, q = 3*p - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + 2*m + 31990 = 31991, 0 = 4*c + 2*m + 5*m - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of -13*a**8\/6720 - a**5\/12 + 5*a**4\/12 - 12*a. Let s(f) be the third derivative of q(f). Differentiate s(i) wrt i.\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6115.\nAnswer: 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26263026 divided by 4377171.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 139043 is divided by 17280?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (178 - 42 + 160 - 2*k**3)*(-4*k + 5*k - 2*k) + (-2*k + 2*k - k**2)*(2 - 2 - 2*k**2).\nAnswer: 4*k**4 - 296*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/5 of a day in minutes?\nAnswer: 13824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the third derivative of -p**5\/60 - 17*p**4\/24 - 37*p**3\/6 - 2*p**2 - p - 685. What is o(-10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 41.8557 - -0.2343. Let q = -17.2 + y. What is q rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.306, 0, -3, -5 in descending order.\nAnswer: 0, -0.306, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -366*o + 369*o = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - 16 - 4. Let r = n + 2. Is (-412)\/6*r\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 176 + -167. Let v = 3 + -1. Solve 5*y = -2*l - v + m, -3*y + 21 = -3*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -174575, -174378, -174049, -173588, -172995, -172270, -171413?\n\"Answer: 66*q**2 - q - 174640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -8 - (7 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b**3 - 3*b**2 + 2*b - 2. What is the remainder when 59 is divided by d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 - 20*u + 43. Calculate r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1021*m**3 + 1179*m**2?\nAnswer: -6126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 4 = 158*a - 156*a, a = 5*q - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19956328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: In base 15, what is -128 + 254?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 2 + (5 + 0 - 3)*(2 + 0 - 5))*(-5*c - 3*c + 5*c + 6).\nAnswer: 15*c - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 11 + 9 = y, 4*y = 3*i + 28. Let q be 1\/i + 879\/(-4). Let s be 48\/q - (-2)\/(-11). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 + 0*k**2 + 3*k**2)*(3 - 2 - 2) - k - 2*k**2 + k + (-2 + 0 + 0)*(-3 + k + 3)*(-141 + 141 - 33*k).\nAnswer: 62*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(1573) + -4) + 1)**2 + 2 - (sqrt(1573) + 0 + -1*sqrt(1573) + sqrt(1573) + -6*(sqrt(1573) + 1))**2.\nAnswer: -37777 - 726*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/7, 6, -3\/7, -0.6, -2\/13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(7\/2)*o*o**(-7\/3))\/(o\/(o*o**3\/o))**45)**(-2\/109) assuming o is positive.\nAnswer: o**(-517\/327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1*30)\/((-8)\/20). Let l = s + -36. Suppose 4*c - 52 = j, 3*c + 5 - l = 2*j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-46 - -83) + -10 - 10\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 58807904 to the nearest integer?\nAnswer: 7669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4031 + -2605. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 5 - 3*u)*(-1 + 3 + 1)*(121 + 27 + 420)*(0 + 0 + 1).\nAnswer: -5112*u - 5112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three thirds of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*y**2 + 21*y**2 - 50*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 5*u - 233113, -286639 + 111813 = -3*h - 5*u. Suppose 27*o - 63412 = h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1274557617 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9 and 1772700759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 1304987229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(2\/9))\/b**(-1\/5))**39 assuming b is positive.\nAnswer: b**(832\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 240469577*u**3 - 155907847?\nAnswer: 721408731*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37, -184, -423, -748, -1153, -1632, -2179?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/24)\/(195\/156*6\/(-165)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 547*o + 923*o + 1275*o + 5235 + 1231*o - 358*o wrt o?\nAnswer: 3618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 5, q: 1, m: 4}. Give prob of picking 1 m and 1 s.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 75101 by 607.\nAnswer: 75101\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -54989538?\nAnswer: -54989538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3908 + -832402\/213. Let y = 278\/639 + i. Factor -y*t**2 + 2\/9*t**3 - 8\/9 - 14\/9*t.\nAnswer: 2*(t - 4)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1111, -2203, -3219, -4123, -4879, -5451, -5803, -5899?\n\"Answer: 6*z**3 + 2*z**2 - 1140*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -108*x = -102*x - 42 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -5, -4 in increasing order.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*m - 2*m**2 + 5*m)*(502 - 502 - 4*m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -105\/47, -3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-4)*(-12)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -5261602, -5261605, -5261608, -5261611, -5261614, -5261617?\n\"Answer: -3*y - 5261599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 393185\/1504 or 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -447463275 + 0.42.\nAnswer: -447463274.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*m + 2346 = 8*m. Calculate the remainder when m is divided by -1 - (4\/2 + -29).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 613 = b + h, 5*h = -b + 638 - 29. Suppose b = w + 195. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -17 - -13. Let y = -0.1 - -0.6. Let d be ((-1)\/3)\/(1\/3). Sort y, a, d in ascending order.\nAnswer: a, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 531 = 2871. List the prime factors of q.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 52 + -36. Calculate the remainder when 31 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 352 (base 10) to base 12\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*g*l - g*t - 34*g - 67227924*l*t**2 + 420*l - 11 wrt t.\nAnswer: -g - 134455848*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(2\/11)\/((w*w**19*w)\/w) assuming w is positive.\nAnswer: w**(-218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*r + 12 + 20. Let y = 0.283 - 0.463. What is the closest to -0.06 in r, y, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1689062 is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -101110011010000 (base 2) in base 11?\nAnswer: -16940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 + 22*q**2 + 23*q + 3. Give b(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/(-3)*((-4)\/(-4))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**2 - 2*p + 1439. Calculate i(37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of -301*w**4 + w**2 + 2511*w - 3684. What is the derivative of l(f) wrt f?\nAnswer: -3612*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1147.681 rounded to the nearest integer?\nAnswer: -1148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.5, -0.3, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 - -21. Let q(p) = 2*p**2 - 16*p + 29. Let j be q(2). Suppose 4*r = -j*v + 69, 2*r - v - 18 = 13. Solve -r = -3*u - z, 5*z = 3*u - u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -129, -138, -155, -180, -213?\n\"Answer: -4*l**2 + 3*l - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 498 + 990 = 93*g. Solve w + 2*u = 5*w - g, -5*u = w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2022872408.578853 + -2022865316. Let w = v + -6804.57873. Let k = w - 288. What is k rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 10*j + 5. Let d be b(-4). Let g = d - -38. Let u be g\/(159\/(-12) + -4). Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 5*l**3 + 6*l**2 - 6*l + 7. Let o be h(5). Suppose 6*w - 4*w - o = 0. Suppose -r - 114 = w. What is r rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cye when three letters picked without replacement from {f: 1, q: 2, c: 1, s: 1, y: 1, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 585*a**3 + 443*a**3 - 1621*a**3 + 11620*a**3.\nAnswer: 11027*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -10*w - 4. Let k(l) = -2*l - 1. Let a(x) = 3*b(x) - 14*k(x). Let g be a(-1). Suppose -4*o = i - 7197, -o + g*i + 3594 = o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -21103*h - 822. What are the prime factors of o(-2)?\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -75499, -151753, -228007, -304261, -380515, -456769?\n\"Answer: -76254*i + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 11991 (b) -14 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 288383, -17, -3 in descending order.\nAnswer: 288383, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -1 - 71. Suppose o = 2*v - v. Let j be 60 - 0\/(4\/2). Calculate the greatest common divisor of v and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 83\/48 + -1\/16. Let h = -90 + 86. Let r = 4 - 3. What is the smallest value in r, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 502180*z - 515688 wrt z?\nAnswer: 502180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 4*t + 136, 0 = 5*t - p - 7 + 189. Let b = t - -79. Suppose w - 1 - 6 = -u, -3*w - b = -5*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 132 and 46008?\nAnswer: 506088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 91 + -0.4470326\nAnswer: 90.5529674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 934*x**3*z - 190*x**3 - 16*x*z - 404*x + 2*z + 1 wrt x?\nAnswer: 5604*x*z - 1140*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/1626788 and 31\/18.\nAnswer: 14641092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 5 (c) 2.9 (d) -259\/5 (e) 0.5 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 7, p: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (-4 - (19 - 9) - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-320 + 320 + 5*l)*(-l - l + l) - 3*l**2 + 3*l**2 - l**2 to the form v*l**2 + h*l + y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(2\/7))**(1\/9)\/(r**3*r**(-2\/13)))\/((r*(r*r**1)\/r)\/r*r*r**2)**(-13) assuming r is positive.\nAnswer: r**(40283\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 42534997 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13835\/29 - 477. Let c = h + -347\/406. Calculate the common denominator of -41\/2 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -3177, 0.5.\nAnswer: -3177, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33664693 is divided by 5054?\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 5:52 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**4 - 685*i**3 - 1421*i.\nAnswer: -12*i**2 - 4110*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2\/7 (c) -0.026 (d) 15133 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -225, -446, -669, -894?\n\"Answer: -x**2 - 218*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/(-9)*0 - 2. Let t = 2 - j. Suppose l = -l + t. Solve -6 = -4*f + l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 0*o + 5*f - 10 = 0, -f = o - 8. Suppose 7*v - 31 = 4*v + o*x, 5*x + 25 = 0. Suppose v*t = 5*t + 54000. Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*g + 39*g + 380 = 0. Let q = 75 + g. Let x(r) = -90*r**3 + 3*r**2 - 2. Is 7 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/9 (b) -70 (c) 0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2689 in -1, -4, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -4*p**2. Let u(o) = 292*o + 397*o - 128*o - 1 + 1. What is i(u(n))?\nAnswer: -1258884*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s**2 - 2*s - 3*s**2 + s**2 + 27*s to y + p*s**2 + k*s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -144 + 208. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -64*r**5 - 4*r**2*s**2 - r*s**2 - r - 9*s - 2 wrt r.\nAnswer: -1280*r**3 - 8*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 3 - (-879 + 843)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -7*l - 127. Let s(o) = -6*o - 125. Determine 9*b(k) - 10*s(k).\nAnswer: -3*k + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -663?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -459 + 943\/2. Find the common denominator of ((-2)\/30)\/(8*(-7)\/(-7308)) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (-1 - -11) + -6 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1560800382 to the nearest integer?\nAnswer: 39507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -211*n + 34*n**2 + 49*n - 269*n - 305*n + 90*n wrt n?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 AM and 2:13 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 48935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10150 - 10093.29. Let c = 59.9522 - 0.0522. Let z = c - t. What is z rounded to 1 dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + k = 41, -10*b + 5*b + 5*k = 85. Let v(q) = q + 23. Let p(a) = a + 23. Let u(f) = 6*p(f) - 7*v(f). Let d be u(b). Which is smaller: d or -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 42.58 + -43. Let b = l - 0.08. Let x = b + 0.6. What is the third biggest value in x, 2\/33, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**3 + 4*d**3 - 2*d**3 + (-d + 0*d - d - 1 + 1 + d + (-3*d + 0*d + d)*(1 - 1 - 2) - 39*d + 774*d - 147*d)*(d**2 + d**2 - 4*d**2).\nAnswer: -1183*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 31174 and 3.\nAnswer: 93522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2477387 is divided by 309636.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 425*o + 6. Let u be w(-1). Let i = -77 - u. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -503 = -0*x - x. Let 3*t**2 - 507 + t**3 - 2*t**3 + x = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(76)*1 + sqrt(76)))\/(-5*(sqrt(44)\/sqrt(11) + sqrt(4)) - sqrt(4) - sqrt(4)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -28\/17 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 3)*(6*o + o - o + o - 5*o + 2*o + (2 - 2 + 2)*(o + 0*o - 3*o) - 2 + 2 + o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 6:20 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -4*l + l. Let o be (-2)\/((-3)\/612*3). Let a = l + o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -412 (base 8) to base 2\nAnswer: -100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(512) - sqrt(512)*-1)*-3)\/(sqrt(400) + -3*sqrt(400)*-1) + 2.\nAnswer: -3 - 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**3*r\/r**1*r**8\/r**(-12) assuming r is positive.\nAnswer: r**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of -3 + 1\/30*i**6 + 1\/2*i**2 - 3\/5*i + 1\/25*i**5 - 3\/10*i**4 + 2\/15*i**3. Solve k(x) = 0 for x.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/sqrt(4) + sqrt(7)) + sqrt(1088) + (1*sqrt(1088))**2 + sqrt(1088).\nAnswer: 33*sqrt(17)\/2 + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*g + 7 + 13 = -22*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 208 - 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 542 * -3.\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2*a = 21, n - 3*a = -12 - 9. Let y = n - -730. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -283179, -2265516, -7646157, -18124254, -35398959, -61169424, -97134801, -144994242?\n\"Answer: -283192*j**3 + 7*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 8\/31, 5, 1.2?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of n**4\/4 + n**3 - 2*n + 3. Let g be j(-3). List the prime factors of (0 - -2)*(-39)\/g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1744*o**3 - o + 1109 wrt o?\nAnswer: 10464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -91*u + 92.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*j - 3*j**3 + 0*j**3 - 8*j.\nAnswer: -3*j**3 - 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1375*y**2 - 20137*y + 48804075 wrt y?\nAnswer: 2750*y - 20137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 8 = -3. Let x be (3 + k - -3) + 2. Solve 3*y = x + 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11720 is divided by 327?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3+2930.163\nAnswer: 2927.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16186 + -16186.1. Let b = 6.3 - 6. Put 3\/2, b, a in descending order.\nAnswer: 3\/2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5.2124 - 0.2124. Let l be (-24)\/28*9\/(-27). What is the closest to -2\/3 in -3\/4, x, -17\/5, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -23*t - t**3 - 5*t**2 + 29*t - 51 + 26*t**2. What is the units digit of a(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 4*f - 7. Let y be j(3). Suppose -b - 59 = -y*p + 3*b, 4*b = -p + 7. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162978681?\nAnswer: 3, 1783, 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1161, 11 in decreasing order.\nAnswer: 11, 3, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-72)\/10)\/(12*15\/(-450)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -4*k - c + 29, 3*k = 2*c + 26. What is the smallest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3146 and 7171658?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 20\/4 + -3 + 0. Solve -a*o + 4*o - 2*p - 6 = 0, p + 1 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**0)**(3\/20))**12 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of -3 + 0 + (-4)\/(-8)*88 and 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 5*s + 22 = -6, -s - 2 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -3*b**2 - 64*b + 6 + 25*b + 19*b + 17*b = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 4 and -172.7?\nAnswer: 176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 12423 - 103?\nAnswer: 12320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 177a0 - -478?\nAnswer: 18168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/66 and -83\/216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2561, -10263, -23093, -41051?\n\"Answer: -2564*g**2 - 10*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 2040235136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 107*l - 2*f - 700 + 236, 2*f + 16 = 15*l - 20*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 290.14618 minus -8.3?\nAnswer: 298.44618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 312318 is divided by 60?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 191*a - 1273996 = 45*a. What are the prime factors of a?\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 7}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/48 and 28\/(-15)*294\/112.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3265 divide 594490649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1525011889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p + 0*p - 126 = 0. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -185*r + 39. Let b be m(-5). Suppose -6*d - b = -8*d + 4*i, -3*d = -3*i - 1452. 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: Solve -2073*z + 2425*z + 7846 = -1658 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-1)\/10*-2). Suppose 11 = o - 2*c - 10, -5*o - c = -127. Let h(a) = -2 + 23*a - o*a + 1. Calculate h(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o**2 + 281*o + 17190 = 0.\nAnswer: -191, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 45*w**2 + 1 + 42*w**2 to the form t + u*w + h*w**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(1100)*-1 + sqrt(1100) - (sqrt(1100) + -2 + sqrt(1100) + 1 + sqrt(1100))) + -4)**2*-1.\nAnswer: -9901 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 15*o**2 + 11*o - 6. Let a be l(-10). Let v = a + 5049. Suppose 2*h - v = -1633. Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*w - 394*w + 35760 = 407*w for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = 2*q - 10, 5*q = -4*x + 170. Suppose -5*p + 11 = a, -4*a + 3*p - 7 - 18 = 0. Let v be x\/15 + a\/6. Let n(w) = w - 1. Determine n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.11 in 0.1, 5, 1\/6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28715055 is divided by 7178761?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.4, 3, -2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-8*h - 20 - 21 + 45)*(4 + 1 + 4*h - 6)*(1 - 3 + 0)*(-h - 2*h + h) in the form y + o*h**3 + u*h**2 + i*h and give u.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -57 (base 8) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -620*o + 2*o**4 - 1103*o + 1083*o + 3*o**3 wrt o?\nAnswer: 24*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 3*w, j + 2*w = 4*j. Find the third derivative of j*f**5 + 2*f**2 + 0*f**2 + 0*f**2 + f**5 wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2450 + 2810. What is the lowest common multiple of 540 and u?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -59*c**5*u - 660321*c**3*u + 353*c*u + 2*c + 7*u + 1665 wrt c.\nAnswer: -1180*c**3*u - 3961926*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of p**3\/3 + 10*p**2 - 67*p + 162. Calculate y(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 165.2? (a) 0.1 (b) -1\/4 (c) 2\/13 (d) 12 (e) -0.1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86*k**2 - 44*k**2 - 44*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 304 divide 543856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 AM and 11:20 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 13 = -80*b + 85*b, -2*z = b + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.2, -1\/6, 1\/2, -42\/17, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -597 in 0, 2\/3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 - 7*j + 10. Let g be i(-8). Suppose 5*h - 50 = -4*w, -g = -3*w + 13. Suppose h = 3*f - 9. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide (-3977)\/(-2) + (-980)\/(-392)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -9*y**3 + 1. Calculate r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 3.3102 to one decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 110947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 31264.\nAnswer: -1\/15632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 151575 - -85622. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -3*x - 2*x. Let b be (-1)\/(-4) - (-15)\/4. Suppose -x - 7 = -b*d. Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 14586, 29256, 43966, 58716, 73506?\n\"Answer: 20*r**2 + 14610*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -709, -3479, -9293, -19129, -33965, -54779, -82549?\n\"Answer: -163*u**3 - 544*u**2 + 3*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-6))\/((-71)\/(-426)) - (1 - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 26 and 4722216.\nAnswer: 61388808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 29*v**2 - 6*v + 64. Does 36 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 245*x**2 - 103*x**2 - 47*x**2 + 98*x**2 + 110*x**2 + 153*x**2.\nAnswer: 456*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 135*z + 305 = 170. Let a(k) = -5*k**3 + 2*k**2 - 1. What is a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -1. Let b(g) = -3*g**3 + 2*g**2 + 3*g + 1. Let n be b(2). Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7835186 (base 9) in base 2?\nAnswer: 10000000101010010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 26 = -2*g - 0, -b = 0. Suppose 3 + 10 = v. Let f = v - g. Solve 10 = -f*q + 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 4*a - 4. Let v(p) = -14*p - 53. Let n be v(-4). Determine y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -x + 0 + 2 - 1 - 2 + 4*x + 2 + (-x + 8*x - 4*x)*(10 + 4 + 0).\nAnswer: 45*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/12 + 40150\/(-876) + -65.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-16)\/(-18) + (-33157)\/639. Sort -101, 0, z.\nAnswer: -101, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (8 + -16 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.138856 litres to millilitres.\nAnswer: 138.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.296 - 0.30592. What is s rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.222 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 4955 >= 4954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*((f\/f**(-27))\/f)\/f)\/(f\/f**(-2\/73)*f)*(f*(f\/(f\/(f\/(((f**(9\/4)*f)\/f)\/f*f))*f))\/f)\/f*f**(-1\/23) assuming f is positive.\nAnswer: f**(145597\/6716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*z**4 - 2*z**4 + 0*z**4 + (-3*z**4 - z**4 + 9*z**4)*(3 - 6 + 2) - z**2 + z**2 + z**4.\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 5*c - 24. Suppose -c = 5*b - 23. Suppose 4*r - 4*w = -0*w + 12, w + 11 = b*r. Calculate the smallest common multiple of 7 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31493729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 4*n + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 5*t = -1748, 582 = o - 10*t + 8*t. Let v = o - 206. Is v != 381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2 and 15216.\nAnswer: 15215.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 3*w**2. Let z(a) = -3*a**2. Let x(i) = -5*n(i) - 4*z(i). Let s = -4 - -6. Let b(o) = o**2 - 2*o**2 - o**s. Determine x(b(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y - 3. Let v be h(-3). Suppose 290*l = 293*l + 3. Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -124*t - 1 + 1.\nAnswer: -124*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -57753 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/(-3))\/((-3)\/9). Let m(b) be the second derivative of 1\/9*b**3 - 8\/9*b**r + 0 + 2\/3*b**2 + 2*b - 17\/15*b**5 - 26\/45*b**6 - 1\/9*b**7. Factor m(o).\nAnswer: -2*(o + 1)**4*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -379 or -643?\nAnswer: -643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**2 + 1483784*a + 1483788.\nAnswer: -4*(a - 370947)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6e6 - -12?\nAnswer: -6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.037 + -0.063. What is the closest to n in 3, 1, -3.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-32 - (-7 - 25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i - 23, 4*n + 1109*i - 99 = 1104*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 - 13. Sort h, 2, -18 in descending order.\nAnswer: 2, h, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 36 and 378101.\nAnswer: 378137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p**3 + 534*p**2 - 1062*p + 530 = 0 for p.\nAnswer: 1, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = 2*g - 10, -w = -4*g + 44. Let v = 43 + w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 586 and 15.519.\nAnswer: 9094.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 - 51. Suppose -5*h = -5*y + 230, 4*y - y + 4*h - 145 = 0. Calculate the remainder when y is divided by 17 + (9 - 4)*g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b**2 - b**2 + b**2 + (b - 8 + 8)*(-12 + 12 - 3*b)*(3 - 6 + 4).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 4*n**2 + 4. Let b(j) be the third derivative of -10*j**2 - 11 - 1\/6*j**4 + 0*j**3 + 0*j. Calculate m(b(q)).\nAnswer: 64*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 11:35 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -184 - -286. Suppose -242 - g = -4*u. Suppose -3*r + 226 = -u. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 13841, 14015, 14187, 14357, 14525, 14691, 14855?\n\"Answer: -u**2 + 177*u + 13665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6110.574 centimeters in meters?\nAnswer: 61.10574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, 178, -1 in descending order.\nAnswer: 178, 39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-4))\/(-1*7\/(-56))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -q**2 + 9*q**2 + 26*q**2 + 2*q**3.\nAnswer: 2*q**3 + 34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 229058398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiicisivcvciv. Give prob of sequence ivs.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 1384975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*w + 4 - 14, -4*w + x = 8. Let s be (-2 - (-4)\/2)\/w. Suppose s*p + 8 = 2*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 119, 168, 249, 362, 507, 684?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -81023136.8 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 448 + -246. Let b = -209 + t. Let l(z) = z**3 + 8*z**2 + 7*z + 5. What is l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 48233, 192937, 434111, 771755, 1205869?\n\"Answer: 48235*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*b + 103 - 83. Solve 4*w = 5*q - 4 - 19, 5*q + b*w = 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -65*h - 9*h + 518. Let c = 118 + -84. Calculate the remainder when c is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eva when three letters picked without replacement from {b: 1, e: 1, v: 4, a: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, a: 4, b: 2, n: 3, s: 2, f: 1}. What is prob of picking 1 n and 3 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(156)\/sqrt(108) - sqrt(156)\/(sqrt(12)*-6))*1)**2*-5 + 3.\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 5) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 140904.\nAnswer: 2, 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-7)*q*q**(-2\/11))\/(((q**(-1)\/q)\/q)\/q**(5\/4)) assuming q is positive.\nAnswer: q**(-85\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7444308364\/23335 - -319019. Let f be (-1)\/2 + (-914712)\/(-466700). Let s = f + t. Find the common denominator of -17\/6 and s.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.016 - 0.016. Which is the third biggest value? (a) -5 (b) r (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/11, 0.3, 2.9 in decreasing order.\nAnswer: 2.9, 0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*y**3 + 0*y**3 + 4*y**3 + 4*y**3 + 5*y**3 - 20*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11593?\nAnswer: 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -233101 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 208*k**2 - 280*k**2 - 696*k**2 - 268*k**2.\nAnswer: -1036*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the first derivative of 1343*u**4\/2 + 11570*u - 6742. Differentiate d(r) with respect to r.\nAnswer: 8058*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 times -6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**20*g**(-5) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 5*p + 2*p + 19*p**2 - 32 - 12 + p**3 + 7*p. Calculate the smallest common multiple of 36 and v(-18).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 517 - 21*n**2 - 517 + (0*n - n + 3*n)*(-4*n + n + 4*n) - 2*n**2 - 5*n**2 - 2*n**2.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(112) + -2*sqrt(112)*1.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/77 (b) -12 (c) -3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3*a**2 - 317*a + 226. Let g be z(105). Solve 12 = -3*l - 4*u + g, -2*l - u + 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3576 - 3581. Which is the nearest to u? (a) 20 (b) -0.2 (c) -3\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18 (base 11) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zvbv when four letters picked without replacement from vvjzbjijijbbzij?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 541527 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 - 7. Let t(f) = 43*f**2 - f. Let l be t(s). Suppose i + l = 3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -4\/3, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, k: 1, h: 1, d: 2}. Give prob of picking 1 d and 1 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1007*s + 507*s - 3 + 1 + 5 + 505*s.\nAnswer: 5*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 2*n - 1. Let p be s(2). Let y(f) = -4 + 8*f + p + f. Does 18 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2\/4 - 276*t - 76176.\nAnswer: -(t + 552)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 3*n = -22, -5*n + 78 = 4*p - p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rir when three letters picked without replacement from {p: 3, a: 2, i: 1, r: 6, v: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 - (-5 - 0) - 3. What is the derivative of u + 3*t - 4*t + 0 - t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/76*36\/9.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 54 = 2*q, 5*t - 58 = 5*q + 2. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 + 556*r + 2794. Let z be p(-5). Which is bigger: z or -194\/19?\nAnswer: -194\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 692996 and -0.3.\nAnswer: 692995.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 2*x**2 - 5*x. Let y(s) = -s**2 + 3*s. Suppose v - 7 = -2. Let m = 92 + -92. Suppose m = -9*g - 3*g + 96. Give g*y(q) + v*w(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 213*f**2 - 5*f - 4*f + 8*f as k + z*f + w*f**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/403 or -5443?\nAnswer: -5443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 10710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 4*m + 83 = 10, 0 = -m - 4. Determine g, given that -17*g**2 + 45 + 90*g + 31*g**2 - x*g**2 - 130 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (9 + -3)*((-2)\/3 + 0). Let a(f) = 44*f**2 + 22*f + 101. What is the units digit of a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2794303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -416 - -586. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 928486512 less than 803.04?\nAnswer: -928485708.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-233120)\/31)\/(3\/43875). What is i rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - 3\/12)*1128\/(-6). Let p = 65 - q. Suppose -5*v + p = 4*v. Solve -v*f + 5 + 7 = 2*n, -4*n = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.4 (b) 13\/6 (c) -2 (d) -55\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191949 is divided by 95955?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/2015 and 115\/8866.\nAnswer: 44330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 253194553 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: Let q(g) = 57*g**2 - g - 1. Suppose -4*m + 20 = -0*m. Suppose -5*o + 4*c - 10 - 1 = 0, -20 = -m*c. Is q(o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 317 - 332 - ((-7 - -13) + -128).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 + -2)*52*(-50)\/(-20). Is -130 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 702664 divided by 4.\nAnswer: 175666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the first derivative of -1\/2*z**4 - 1 + 4\/3*z**3 + 0*z + z**2 + 1\/15*z**5. Let f(m) be the second derivative of y(m). Suppose f(d) = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -393 + 18127a?\nAnswer: 180997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 0.4, 10, -2, 1.1, -3\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the first derivative of 19*k**5\/5 + 6*k**2 + 10. Find the second derivative of b(u) wrt u.\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/36 and -7\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -136*s - 199*s = -6613570. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4318421 and 106.\nAnswer: 457752626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 + 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -33069 + 33069 - 37*r**2 - 43*r**6 wrt r.\nAnswer: -5160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 890\/(-801)*(-24)\/20*-1 + 5495\/3885.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 4*s**3 + 2*s**2 + 2. Let j(g) = -g**3 - g**2 - 1. Let o be (-262)\/(-13) - (-4)\/(-26). Suppose 16*p = 11*p - o. Give p*j(x) - 2*y(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - (8 - 17))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:37 PM and 6:08 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.09 + -0.01. Let f = 4.2 + -4. Let c = -1 - -2. Put c, f, x in decreasing order.\nAnswer: c, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 8) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101101000100001000 + 101110111?\nAnswer: -101100111110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3501\/15 + 2\/(-5). Suppose t + 0*t = 2*r - j, 5*t - 560 = -5*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1547930 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1013310 (base 4) to base 3\nAnswer: 20022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 10 = 29*j, 208 = 5*j + 2*t + 198 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 45\/(-10)*(-40)\/(-24)*1*2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 75 = -2*d. Let m = -10 - d. Suppose -27 = -m*j - 2. What is the remainder when 14 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21.725 + 21.625. Which is the nearest to 0? (a) -5\/3 (b) 2 (c) 26\/59 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 + 5. Let x be z(0). Let v(t) = -37*t + 28. Let j be v(7). Let i = 5315\/23 + j. Put i, 1\/3, x in ascending order.\nAnswer: i, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -8*a + 12. Let w(z) be the third derivative of -z**4\/8 + 5*z**3\/6 - 6*z**2. Let u(v) = -5*m(v) + 12*w(v). Let g(l) = 5*l. Determine u(g(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 6598, 7182, 9124, 13216, 20250?\n\"Answer: 132*w**3 - 113*w**2 - w + 6580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -19 (b) 0.3 (c) -1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 - 5*b**2 - 7*b + 14. Suppose -14*z = -16*z + 12. What are the prime factors of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 17 (b) 2\/523 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 45 and 61515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-165)\/(-6))\/5*2. Suppose 0 = 8*h - 216 + 96. Suppose h*v + 3*v = 54. Solve f + 6 = 4*b, v*b + 3*f = 8*b - c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -19687249 from 1250.356.\nAnswer: 19688499.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b + 912 = -7348. Let n = b + -588. Solve 1\/3*t**3 - n + 2*t**2 - 1\/3*t = 0 for t.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 2148 = 4*t - 1588, -2*t + 8 = 0. What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 3*q = 2*s + 1, 6 = -s - 4*q. Suppose -4*m + 10 = -m + y, -5*y - s = -m. Solve 5*d + 35 - 5 = -2*w, m*w + 28 = -2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -85, -87, -91, -97, -105, -115?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33949, 33942, 33931, 33916, 33897?\nAnswer: 33874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 220 and 20730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.962328 - -11929203?\nAnswer: 11929201.037672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (121\/((-59895)\/5995))\/(3\/27)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -17*j - 182. Let v(a) = 25*a + 275. Let o(x) = 7*m(x) + 5*v(x). Let q be o(-4). Calculate the greatest common divisor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, c: 4, t: 1, x: 1, y: 1}. Give prob of sequence xyt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*-1*1*62\/93.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6.04999935339 - -6.05. What is f rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 5 + 4)*(7 + 5 - 4) + 3 + 0 - 5 + (-6 + 1 + 3)*(1 - 3 + 0) - 2 - 1 + 4 - 3 + 5 - 1)*(3*m**2 - m**2 - m**2).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -74846\/301595 + 61\/245. Let y = i - -45544\/3693. Let a = 4391\/246 - 15\/82. What is the common denominator of y and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 7*h**2 - 9*h + 10. Suppose -3*k + 55 - 13 = -o, -3*k - 5*o + 42 = 0. Calculate the remainder when k is divided by d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {n: 10, k: 2, o: 4, h: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r**2 - 3*r**2 + 8*r**2)*(0 + 0 - 2) - r**2 + 2*r + 3*r**2 - 5 - 4*r**2.\nAnswer: -10*r**2 + 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 898 + -974. Are x and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 4*a - a = -23, c - 21 = -4*a. Which is smaller: 1\/8 or c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 46625 - 40257. What are the prime factors of n?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/4)\/(6\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (3\/6)\/((-1)\/(-194)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(46\/12 + 2 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1110001 (base 2) to base 15.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(5) + -3 + sqrt(605) - (sqrt(720) - (sqrt(720) + sqrt(720) + 4*(0 + sqrt(720))))**2.\nAnswer: -18005 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4151.\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3\/4 (b) -68 (c) 8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1099, -2198, -3299, -4402, -5507?\n\"Answer: -y**2 - 1096*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3*k**2 + 0)*(0*k - 11*k**2 - 10*k + 9*k).\nAnswer: -33*k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -39*w**3 + 45*w**3 + w - 17 + 61*w**4 + 4*w. Let d(o) = -o**4 - o**3 - o + 1. Let g(p) = -6*d(p) - t(p). Find the second derivative of g(h) wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -115 - -122. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1.7 (b) 2\/5 (c) 20\/3 (d) -1\/3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21491108.\nAnswer: 2, 23, 233599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (8\/(-2))\/(224\/(-145096)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 8*m + 4. Let b(a) = a**3 + 2*a**2 - 2*a + 3. Let o be b(-3). Let q(c) = -c**2 + 4*c - 1. Let w be q(3). Put o, m, w in descending order.\nAnswer: w, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 - 434*p**2 + 20008*p - 674. Give j(42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of -941*i**4\/24 + 263*i**3\/2 - 526*i**2. Differentiate h(r) with respect to r.\nAnswer: -941","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q**2 - 3*q**2 - q**2)*(-51 - q**2 - 43 + 86).\nAnswer: 2*q**4 + 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*a**4 - a**3 + a**3)*(-1 + 10 + 5) to b*a**3 + t*a**2 + r*a + w*a**4 + f and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2\/13)\/(t*t*t*t\/(t*t*t**(4\/5)*t)*t*t*t*t*t))\/((t**(-3)*t)\/t**(-1\/3)) assuming t is positive.\nAnswer: t**(-719\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*1\/2 + -28 + 29. Solve 8 = -2*a - b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5916 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the third derivative of o**5\/75 + o**4\/6 + 8*o**3\/15 - 2*o**2. Factor p(k).\nAnswer: 4*(k + 1)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b**5\/4 - 5965509*b**4 - 31633157425077*b**3\/2 - 13978370662370394345*b**2 - 55913419383190589259*b\/4 = 0. Calculate b.\nAnswer: -2651337, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 368386.704ms?\nAnswer: 0.000609105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 4*w - 45. Let u = 52 - w. Let j = -13 + u. What is the highest common factor of j and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -23.3 in 4, 0.2, 3\/506?\nAnswer: 3\/506","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12278 - -23169. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/2*(-24)\/(-9). Suppose 0 = -3*j - 4*x + 16, 5*j - t*j - 9 = -5*x. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 89.91336 minutes to microseconds.\nAnswer: 5394801600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -1*(-1 + (5 - 321))?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/(-9))\/(6\/(-9)). Let p be ((-8)\/(-10))\/(7\/(-35)). Let s be (-2)\/4 + (-39)\/(-54). What is the closest to s in a, -2, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 343045406 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*t - 1 - 6*t + 0 + 13*t.\nAnswer: 13*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7699 + -7743.17. Let u = 41.6 + o. What is u rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 7 + 17. Calculate the greatest common factor of 120 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*s - 9*s**3 - 1 + 149*s**2 - 475*s**2 + 145*s**2 + 151*s**2 to t*s**2 + y*s + m*s**3 + h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000007023193981 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -960 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0 (b) -0.19 (c) -0.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 107*m**2 + m. Let o be c(-1). Suppose 0 = -4*w + o + 42. Let s = -37 + w. Which is smaller: 4\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*v + 448 = 13*v. Differentiate v*i - 82 - 112*i + 91*i**2 with respect to i.\nAnswer: 182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(81\/12)*15\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 777348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 19040 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (29\/174)\/((-11 - -5)\/(-1188)) - -7.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dff when three letters picked without replacement from {f: 2, o: 3, d: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 - 6*v + 2. Let u be q(-6). Suppose -3*j = -u*j - 31. Suppose 0 = -4*w + 57 + j. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.4, 2372\/11, -4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*q**3\/3 + 10586*q**2\/3 + 3296332*q\/3 + 1095248 = 0. Calculate q.\nAnswer: -294, -1, 5588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((sqrt(65) - (-2*sqrt(65)*-1 + sqrt(65))) + sqrt(65) + 2*sqrt(65)*-2))\/((sqrt(10) + (2*sqrt(110))\/sqrt(11))\/((sqrt(20)\/sqrt(2))\/sqrt(5))).\nAnswer: 20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 171376781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 22135.999986522 + -22136. Round x to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + 13384 + (2 - (-32)\/24*3). Calculate the greatest common factor of 31 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.604552 centuries to millennia.\nAnswer: 0.5604552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(((-715)\/20)\/(-13))\/(22\/(-88)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5671287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = c + 2. Let w be ((-10)\/(-4))\/(2\/508). Suppose c*j - w = -j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zjtz when four letters picked without replacement from {j: 1, z: 2, m: 2, t: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - -4091?\nAnswer: 4094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 46 and 3107415?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1))**(-2\/7)*u**(-2)\/u*u**(-1\/6) assuming u is positive.\nAnswer: u**(-121\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -25 + 27. Suppose -4*s = -a + 51, j*a + s - 66 = -9. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16*p**4 - 30*p**2 - 179*p - 35*p**2 + 64*p**2 wrt p.\nAnswer: -192*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of -u**6\/360 - u**5\/8 - 5*u**4\/12 + 17*u**2. Let t(v) be the second derivative of m(v). Let c be t(-10). Are 2 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12594902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 5*k + 18. Let r be n(0). What is the greatest common divisor of r and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 AM and 8:42 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*n + 0*n - 5*n)*(-3*n + 3*n + 2*n) + 0*n**2 - 4*n**2 + 2*n**2 - 1 + 1 - 2*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1506 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 30253 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 150 - (827 + -796 + -1 + 12)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17483 divided by 1.\nAnswer: 17483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1981 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.06 + -24.\nAnswer: -24.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((sqrt(275) - sqrt(275)*-2)*-3 - sqrt(275)) - 3*(-3*(-1 + sqrt(275)) + sqrt(275)))**2.\nAnswer: 240*sqrt(11) + 4436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from qqzzzpqqq.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 44.79016 weeks?\nAnswer: 451484.8128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 5*p + 180. Suppose 10*f = f + 36. Suppose -5*g + 85 = 5*n, 7*n - f*g = 4*n + 58. Calculate the greatest common factor of p and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in -4*p**2 + 1344066280*p - 112907135314564900 = 0?\nAnswer: 168008285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/3 - 4\/6. Solve -2*l - 6 = -p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/3, -16, 52, -9\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 0.00829 (c) -0.3 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(7) + -1) + 1*sqrt(343).\nAnswer: -6 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 15 = -4*u, 0 = -12*h + 13*h - u + 4. What is the remainder when 303 is divided by 2\/(h\/(-57)*(-3)\/2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3088 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*p + 4, -24*p = -r - 26*p + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**6\/120 - n**5\/15 + n**4\/6 - n**3 + 121*n**2. Let w = 16 + -11. List the prime factors of c(w).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 825259970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1131 and -87.\nAnswer: -87.1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*28 - (1 - -2). Let w be s + 6*(-2)\/4. Let n = w - -1. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -15*z + 3 + 17*z - 3. Let h(o) = 22*o**2. Give r(h(i)).\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(720))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -124*j - 134*j + 1579*j to n*j + l and give n.\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.201 + -23.201. Let o = -22.29 - u. Round o to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 PM and 9:10 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 67\/4 of a millisecond?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 - 2*r**2 + r + 3. Suppose -4*o = -o. Let c be l(o). Find p, given that 8*p**4 - 2*p**2 - 4*p**2 + 4*p + c*p - 5*p = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 37.95 + -9.317. Let m = 28.7130075 - s. Let k = m + -0.08. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {a: 4, e: 3, n: 1, j: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -268.29533 - 5501.\nAnswer: -5769.29533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1767225 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 + 8 + 99 + 32?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 60\/(-8)*(-4)\/(-5). Let u be (-10)\/15 - (-2)\/x. Let k be -1 - u - 2 - -9. Calculate the highest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1933347 and 1407538.\nAnswer: -525809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be 84\/30 - 2\/(-10). Calculate the highest common factor of d and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 156226062 by -6.\nAnswer: -26037677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 + 83. Let p = -64 + v. Solve -3*r - 2 = -p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -105378860 by -5.\nAnswer: 21075772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5575 - 1701. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5108 is divided by 299?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 102946*s**2 + 1175 + 1628 - 102943*s**2 in the form i*s + b + q*s**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**2 + 8*j - 12. Let k be l(5). Factor -6*a + a**2 + 1 - k*a**2 - 5.\nAnswer: -2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5\/3? (a) 0.5 (b) -316 (c) 3 (d) -36 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(252))\/sqrt(6))\/(sqrt(6) + -2*sqrt(24)\/sqrt(4)) - (-1 + 2*sqrt(448) + -2)**2.\nAnswer: -1801 + 94*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v + 25. Calculate d(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 32474.1 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -73, -146, -219?\n\"Answer: -73*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of -32\/15*o**5 + 64\/9*o**3 - 85\/3*o**4 + 64*o - 2\/45*o**6 + 0 + 512\/3*o**2. Let h(s) = 0. What is s?\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-5 - (2 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -20*w**5\/17 + 5062*w**4\/17 + 3382*w**3 + 16520*w**2\/17 - 319032*w\/17 + 31680\/17 = 0. Calculate w.\nAnswer: -10, -3, 1\/10, 2, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -182 + 2804\/15. Find the common denominator of v and -73\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 21*k - 4*k + 0*k as b + y*k and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 575 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -133 - 310.\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-108)\/(-168)*-1*91\/78\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -15 by 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00014743266 rounded to six dps?\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4093 - 4994 = 53*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -8, 2, -3.\nAnswer: -8, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 g when four letters picked without replacement from yyyyegyyyeygeggy?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000303689 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1 - 21\/(-9))*(-6)\/10)\/((-199)\/4975).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -8*(-1)\/6 - (-261725)\/75 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 32 = -r, -5*r = m - 20 - 64. Suppose -2 = -f + r. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 18258 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -3*a**3 - 89*a**2 + 87*a - 1166. Calculate p(-31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 104845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 3, -3, -39, 8, 0 in descending order.\nAnswer: 8, 6, 3, 0, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 6 - 2 = 2*k, 4*f + k = 51. Let x(t) = -t**2 + 20*t + 13. Let h be x(f). Let m = h + -69. Is m != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3421782 and 359308.\nAnswer: 4178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 + 3 - (-3 + -1 - 19). Let y(x) = -4297*x + 137. Let g be y(w). What is g rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 110002 and 20.\nAnswer: 1100020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (40\/(-6) - -2)*-3. Let a(j) = -26*j + 1. Let x be a(-1). Suppose -3*z = -3*r - x, -6*z - 2*r = -z - 80. What is the highest common divisor of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(51)\/(sqrt(3)*-2) + (sqrt(17) - (5 + sqrt(17) + sqrt(17) + sqrt(17)*-2)))**2.\nAnswer: -5*sqrt(17) + 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - 3 - (-3 + -4 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -112, -129, -162, -217, -300, -417, -574?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -123922*d**4 + 2*d + 209924 wrt d.\nAnswer: -1487064*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1353629 - 4?\nAnswer: -1353631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(7\/4)*z\/(z*z\/z**43))\/(z**(-22)\/z**(-27\/4)))**(20\/3) assuming z is positive.\nAnswer: z**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 153723640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(2\/9))**(-2\/3)*(((m**(1\/3)*m*m)\/m)\/m)\/m*m**7\/m*(m**(1\/4)*m)\/((m*(m\/(m**3\/m)*m*m)\/m)\/m)*(m\/m**(2\/7))\/m**0 assuming m is positive.\nAnswer: m**(5405\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -208611207 or -208611209?\nAnswer: -208611207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/s**(1\/5)))\/(s*((s*s**(7\/2)*s)\/s)\/s)*s**(11\/4)\/s**(3\/8))**(-46) assuming s is positive.\nAnswer: s**(1771\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 AM and 12:55 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of -1\/24*t**4 + 0 + 1\/6*t**3 + t**2 + 0*t. Let u(l) = 6*l - 1. Let x be 6 + 3*(-21)\/9. What is x*u(a) - 4*b(a)?\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -10 and 20\/203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4879965 times -1?\nAnswer: -4879965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h. Let q(b) = 2*b**2 - 8 + 2*b**2 - b - 3*b**2 + 7. Let i(k) = -13*k**2 + 7*k + 7. Let j(d) = 2*i(d) + 14*q(d). What is j(f(n))?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*l + 693 = 30*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/(h*h**6*h*h)*h*h*h\/(h*h\/(h\/h**(-1\/4))*h*h*h)*h*h**(-2\/11)*h**(-2)\/h)**(-28) assuming h is positive.\nAnswer: h**(3059\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) 8 (c) -0.1 (d) -25\/6 (e) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/6 - k**2\/3 - 5*k\/2 + 6.\nAnswer: (k - 3)**2*(k + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69084937?\nAnswer: 73, 946369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is 0.00002202276 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 5*t + 5 = -0*t, 4*j - 5*t - 40 = 0. Is 5 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1\/36 - -1\/4. Let x = -0.0477 - -0.5477. What is the closest to r in x, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyq when three letters picked without replacement from yjqjy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - 7. Let u = -1 + p. Suppose 6*v = -9*v + 15. Put -1, v, u in decreasing order.\nAnswer: v, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13 - 11. Let i = 3 + j. Let g = -1 + i. Solve -12 + 4 = -g*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 255107 is divided by 6072?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*t - 210 = -16*t. Let j = t - 2. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:43 PM and 6:10 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -24 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 + 2. Let i(c) = -24*c**2 + 20*c + 4. Suppose m - 6*m + 2*w + 220 = 0, -4*m - 4*w = -176. Let p(o) = m*q(o) + 2*i(o). Find x such that p(x) = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*i**2 + 19*i**2 - 22*i**2.\nAnswer: -86*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -71*v**2 - 75*v - 1. Let j(x) = x**2 + x - 1. Let o(c) = -f(c) - 3*j(c). Determine a so that o(a) = 0.\nAnswer: -1, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -81*m**2 - 13*m + 6. Let f(b) = 43*b**2 + 7*b - 3. Calculate 11*f(v) + 6*k(v).\nAnswer: -13*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -324.6783 - -323.34. Let g = p + 1.438. What is g rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.04 - 0.01. Let l = -0.05048 - y. What is l rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 3*r = -4, -6*y - 7 = -3*y - 4*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 1 - 3*v)*(-2*v**2 - 3*v**2 + 7*v**2) - 5*v**3 + 5*v**3 + 3*v**3)*(3 - 5 - 3*v**2 + 0*v**2).\nAnswer: 9*v**5 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in fifty-four fifths of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 - 7. Let j = 37 - 33. Suppose d - 16 = -5*m, -j = -m - 2*d + 1. Solve -5*l - m*q + u = 0, -4*l - 2*q - 10 = -4*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1500663 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**5*h)**(-3\/11)\/(((h*h**(-6)*h)\/h)\/h)**24 assuming h is positive.\nAnswer: h**(1566\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 4*j + 2*i - 2 = 0, 4*i = -4*j + 16. Let h(g) = -4185 + 4185 + 2*g**j. Let n(u) = -233*u. What is h(n(k))?\nAnswer: 108578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-7*64873\/812)\/(1\/(-412)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of -z**5\/60 + z**4\/8 - z**3\/3 + 4. Let p(k) be the third derivative of o(k). What is p(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 bigger than 5\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 527, 2043, 4475, 7751, 11799, 16547, 21923, 27855?\n\"Answer: -12*k**3 + 530*k**2 + 10*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95*b + 89 + 10361 = 0. Calculate the least common multiple of 1903 and b.\nAnswer: 19030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1711, 3811, 5911?\n\"Answer: 2100*x - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 26*h**2 - 6*h + 29. Let i(b) = 21*b**2 - 5*b + 28. Give 4*i(g) - 3*q(g).\nAnswer: 6*g**2 - 2*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -72*k + 19 - 41 + 22. Let q(r) = -r**2. What is q(d(s))?\nAnswer: -5184*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 82927165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ntyn when four letters picked without replacement from ntynnynnynnnnnnyynnn.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.3294+4\nAnswer: 3.6706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 2*i + 3)*(2*i + 3*i - 3*i) + 285*i**2 + 228*i**2 - 922*i**2 to the form w*i + h*i**2 + g and give h.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(55)\/((sqrt(99)*-1 - sqrt(99))\/sqrt(9)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21640 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 3*f + 560, 19*m + 289 = 18*m + 3*f. Let p = 288 + m. Solve -c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2240791107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 PM and 1:23 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) -2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 114*7\/(-1890) - 2\/(-9). Which is the nearest to 9? (a) 4\/5 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -9. Let p = 0.01 - 4.01. Let g = -4 - p. Is g at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 - 21 = 4*n. Let z(b) = -b - 8. Let d be z(-10). Solve -2*f - d*q - n = f, 5*f + q + 22 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:08 AM and 9:54 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15609 + -6359. List the prime factors of y.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50, -137, -274, -455, -674, -925, -1202?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 3)*(-10*i**3 + 6*i**2 - 6*i**2).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-8 - -6)\/((-10)\/55)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 8:10 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 186 + -154. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15317, -30637, -45955, -61271?\nAnswer: -76585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -156, -146, -122, -78, -8, 94?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 2 y, and 1 g when four letters picked without replacement from {e: 4, y: 3, g: 1, t: 2, m: 2, c: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*c**2 - 52893 + 13207 + 13201 + 13212 + 13273.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 11*k = 6925, -8*k + 3*k = 10. What are the prime factors of v?\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -16*a**3\/7 - 7490842*a**2\/7 - 12172564*a\/7 + 5618112\/7 = 0. Calculate a.\nAnswer: -468176, -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 6*x + 17. Let k(g) = -25*g - 70. Let v(a) = 2*k(a) + 9*q(a). Let u be v(1). Which is smaller: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:00 AM and 12:48 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 - y + 18. Calculate the remainder when 71*16\/(-4)*(-3)\/12 is divided by c(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 41 = -4*h, a - 45 = -h + 4*h. Calculate the lowest common multiple of a and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6 - 446*p - 531*p - 7 + 13 in the form r*p + l and give r.\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 343275 divided by -343275.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 243 + -228. Put -5, 2, t in increasing order.\nAnswer: -5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -8*n**2. Suppose 10 + 12 = 5*z + 4*p, -z = p - 5. Let u(o) = -24*o**2 + 9*o**z + 14*o**2. Give u(f(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -9*l - 2. Let o(c) = 8*c + 2. Calculate 6*o(a) + 5*s(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -96, -103, -106, -105, -100, -91?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.33241997 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1348 != 1346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 24 + -5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 3*u = 13 - 4, -3*x - 2*u = -29. Let t be x + 4\/(-4) + -3. Let o(j) = -3*j**2 + 8*j + 3. Let l(c) = -c**2 + 3*c + 1. Give t*o(a) - 8*l(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -3*b**2 + b**2 + b**2 + (b - 3 + 3)*(176*b + 121*b - 98*b) as o + r*b**2 + g*b and give r.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i + 1. Let a = -3 - 3. What is the remainder when 37 is divided by s(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94973459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 129528 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 14350355 (base 7) in base 6?\nAnswer: 45025132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 32.62 times 6\nAnswer: 195.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11001 - -10110?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 234861 and 2211?\nAnswer: 15735687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 27*x**3 + 0*x**2 + 5*x**2 - 28*x**3 + 3*x**4 + 2 + 0*x**4 to o*x**4 + q*x + h + t*x**3 + k*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 6 + 2 + r)*(23*r**2 + 3*r - 2*r - 19*r**2) - r**3 - 1 + 1 to t*r + s*r**2 + q + v*r**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 54 - 49. Let t(p) be the first derivative of 1 + 0*p + 0*p**4 - 4\/5*p**v - p**3 + 0*p**2. Find the third derivative of t(r) wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 561 = 5*a, -2*a - 10*w + 5*w + 212 = 0. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.1 - 0.1. Let g = 0.4 - -0.4. Let t = q - g. Which is the nearest to 0? (a) t (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 39894804 and 227688?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1112147794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40\/50*38\/((-3876)\/(-765))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*s + 8*s + 3*s - 243*s**2 - s.\nAnswer: -243*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of a**2\/2 - 2*a + 44. What is s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 - 3*r**2 + r - 3. Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 625 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 - 4)*(75 - 565 - 577)*(-3*n + 2 - 2) + (0*n - 3*n + 4*n)*(2 - 4 + 0) to f*n + m and give f.\nAnswer: -9605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/582932 and 50\/327?\nAnswer: 1748796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of -1\/160*l**6 - 1\/4*l**4 + 0 - 1\/2*l**3 + 0*l - 1\/16*l**5 - 6*l**2. Factor c(p).\nAnswer: -3*(p + 1)*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -o - 4, -m + 3*o = 0. Suppose 4*q = 5*u + 3*q + 23, -u = 4*q - 8. Is 25 a factor of (-150)\/(-2)*u\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 45089*j*y**3 + 19*j - 46278*y**3 - 404*y wrt j?\nAnswer: 45089*y**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 1752 = 5*y, 4*w + 1419 = 4*y - w. Let j = y - 177. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 425404 (base 7) to base 15.\nAnswer: 16d9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3707949, 3707954, 3707959, 3707964?\nAnswer: 3707969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -1159*i**6\/5 + 3708*i**2 - 584*i. Find the first derivative of a(w) wrt w.\nAnswer: -27816*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*o + 9*o - 8*o)*(-o - 2 + 2 + (2 + 0 - 4)*(2*o + 0 + 0) - o + 3*o - 3*o - o + o - 2*o + o + 2*o - o).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -1337043.4875 to the nearest one thousand.\nAnswer: -1337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 189363 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 1074, 32 in ascending order.\nAnswer: 8, 32, 1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -259 - -259. Suppose n = -5*l - 4*h + 1508, -h - 383 + 1585 = 4*l. What is the greatest common factor of 120 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 21*g**2 - 12*g - 22. What is y(-2)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 126124 is divided by 138.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 6*c + 2*c. Let n(z) be the first derivative of 0*z - 1\/5*z**5 + c*z**2 - 2 + 1\/3*z**3 + 0*z**4. Factor n(i).\nAnswer: -i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51397.1669581 + -4?\nAnswer: -51401.1669581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -87.88117592 + 75.1?\nAnswer: -12.78117592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 238738 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/4 - 510\/(-8) - 0. Let f = r + -61. Suppose 4*g - 9 = -f*n + g, 1 = 2*n - 3*g. Solve 0 = 4*v - 5*j - 26, -n*v + 2*j + 16 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(153) - sqrt(153))\/sqrt(9) - ((sqrt(102)\/sqrt(3))\/sqrt(2))**2) + -1 + 3)*5 + 5.\nAnswer: -70 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 604 + -604. What is the biggest value in r, -1, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 328\/(-158301)*11*-27?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-270)\/154 + (-18)\/(-99) and 12\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 27 + 2 - 5 - 2*i. Let j be ((-10)\/25)\/(2\/(-50)). Let f be v(j). Which is the closest to -1\/4? (a) 3\/4 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 14) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -5\/4*c**4 + 0 - 1\/2*c**3 + 0*c**2 + 0*c - 1\/2*c**5 = 0. Calculate c.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -294*o**3 - 4095*o**2 - 151875*o\/8 - 234375\/8.\nAnswer: -3*(o + 5)*(28*o + 125)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-4 + 2 + -2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tl when two letters picked without replacement from {l: 4, t: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 13) to base 2.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 15*s**2 + 264*s - 17432. Let v(r) = -2*r**2 + 1. Let y(d) = 24*v(d) + 3*z(d). Find f such that y(f) = 0.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 27*s**2. Let t(g) be the second derivative of 15*g + 0*g**2 + 0 + 1\/2*g**3. Determine t(h(j)).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 12*q - 2*q. Solve 2*d + 4 = o, -q*d - 4*o - 8 = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes before 1:23 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1672843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -420 divided by -60\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 91310, 182585, 273844, 365099, 456362, 547645, 638960?\nAnswer: 730319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*s - 32*s = 2*m + 15*s + 4, 55*s = -4*m - 98 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 PM and 12:32 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 3107.\nAnswer: 1\/3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11914059, -23828169, -35742279, -47656389, -59570499?\nAnswer: -71484609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in 0, -0.3, -2\/239?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22 - 0. Suppose -q + 10 = 4*v. Let h = -4.1 - -4. Sort -2\/7, h, v in ascending order.\nAnswer: v, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9512734?\nAnswer: 2, 7, 11, 223, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1040 (base 6) to base 2\nAnswer: -11110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 4, 0.12, 0.2, 0.178, -3\/8.\nAnswer: -3, -3\/8, 0.12, 0.178, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 843.633 microseconds in nanoseconds?\nAnswer: 843633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 3. Let d = 543\/8 + -68. Which is the third smallest value? (a) k (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-37)\/(-4) + 1\/(-4). Let b = 14 - d. Put 4, b, 3 in increasing order.\nAnswer: 3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(72)\/sqrt(3))\/sqrt(4))\/((-1*sqrt(108))\/sqrt(6))*-6.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 19 = 41. Let u = o + 64. Suppose 2*h = -2*h + 3*f + 197, u = 2*h + 5*f. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 135100, 270201, 405302, 540403?\nAnswer: 675504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(13\/3)\/(b*b\/(b\/b**(-2\/19))) assuming b is positive.\nAnswer: b**(196\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 644280 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 + 522903?\nAnswer: 522906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*k**2 + 1 - 4 + 0*k**2)*(-2*k**3 + 0*k**3 + k**3) + k**5 - 3*k**3 + 3*k**3)*(-156 - 456 + 162).\nAnswer: 900*k**5 - 1350*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6964 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -5*p**3 - 4*p**2 + 4*p + 4. Let l = -88 - -89. Suppose 5*h - 5*f + 116 = 156, f = 4*h - 20. Let r(g) = g**2 - g - 1. What is h*r(c) + l*b(c)?\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -262.\nAnswer: 5\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of 5*t**3\/6 - 3*t**2 + t + 1. Let m(h) be the first derivative of r(h). What is the derivative of m(v) wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15095 is divided by 790.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 20 = 5*f, -5*l = 1 + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes after 2:05 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 953 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 0.522294 decades?\nAnswer: 0.00522294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -556.4 + 523. Let o = -12 - -45. Let w = o + n. Which is the closest to -0.1? (a) 13 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -40.05179866 to two dps.\nAnswer: -40.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10913657 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13611 divided by 39.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00005 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-2\/7))**(6\/5))**(1\/22)\/(l**(-1\/11)\/l**(-2))**(17\/6) assuming l is positive.\nAnswer: l**(-827\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, 6, -2, 101 in increasing order.\nAnswer: -3, -2, 0, 6, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 101949 and 22950.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10935*p**4 - 104490*p**3 - 22140*p**2 + 5160*p + 1120 = 0.\nAnswer: -28\/3, -2\/9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1232, 5550, 12748, 22826, 35784, 51622, 70340?\nAnswer: 91938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p**3 + 462983443*p - 462983443*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.01 (b) -2\/13 (c) 139.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -17? (a) -2\/11 (b) -52 (c) -3002 (d) -6\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 36 - 1111904890316.\nAnswer: -1111904890280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000248770059 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 864 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 206250 divided by 33?\nAnswer: 6250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2, 148, 496, 1142, 2182, 3712?\nAnswer: 5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 0*k + 23*k - 13*k. Let y(d) = -2*d. Determine y(a(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be 14 + -167 - (4 + -5). What is the common denominator of ((-2)\/27)\/(j\/7068) and 4\/(-6) + 1\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/((-54)\/2)*6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -15*-2*(-35)\/(-21) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -175.2 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 26\/4*(4 + -2). Suppose k + 7 = i. Suppose -31 = -2*a + 5*f, k*f = 4*a + f - 47. What is the lowest common multiple of a and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -196, -110, 1, -1, 4, 3 in descending order.\nAnswer: 4, 3, 1, -1, -110, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 5*j - 4*j + 691, j = -4*m + 551. Let l = m + 1170. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m + 10 = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 503 + -504. Let i(v) = 10*v - 2. Let t(d) = -22*d + 4. Let f(o) = -5*i(o) - 2*t(o). Calculate f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1093\/1692 + -16\/47. What is the common denominator of 81\/8 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/6*27\/(1080\/176).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 271967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 4\/5, -3, 5, 56\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -430*b + 657*b - 352 = 403*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 + 44*v - 39. Calculate the remainder when a(5) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7173 and 0.05.\nAnswer: 358.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 + -9)*2\/4. Let l be -1 + (81\/(-21))\/q. Which is the third smallest value? (a) l (b) -1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 316.86 times 100.1\nAnswer: 31717.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**2 - 6*f + 3. Let m be h(6). Suppose m*g = -0*g. Solve -4*b = 4*v - 8, 5*b - 4*v + g*v = -8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - z - 6, -20*z = -3*t - 25*z + 16. Put -4, 3, 26, t in decreasing order.\nAnswer: 26, 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**4 - 100*g**3 - 95*g**2.\nAnswer: -5*g**2*(g + 1)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + 35050?\nAnswer: 35052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17174, 17257, 17340, 17423, 17506?\nAnswer: 17589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 220221331 - -3?\nAnswer: 220222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/8*-10*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + 3 + 2*sqrt(5) + sqrt(220)\/sqrt(11) + 3.\nAnswer: 6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4\/3, 109, 0.4, -0.3, -1?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275*l - 15 = -206*l + 54. Let h(n) = n**2 - n. Let m(j) = 2 + 5*j**2 - 3 + 0*j**2 - 4*j. Calculate l*m(a) + 4*h(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of -4*v**6\/3 - 3*v**2 - 8. What is the second derivative of o(b) wrt b?\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6*(-3)\/(-24)*-12*1\/(-18). Let j(z) be the first derivative of 16\/3*z**3 - 21*z**2 - l*z**4 - 9 + 36*z. Factor j(q).\nAnswer: -2*(q - 3)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -330 + 335. Suppose -a*i + 387 = 4*u, 2*u - 3*i + 7*i = 186. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17320 - 15604. Calculate the lowest common multiple of 1430 and k.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22.2 + 21. Let o = 3.1 + l. Let f = -2.4 + o. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 0. Solve 0 = -2*r - 2 - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from dyyyyyyd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 8*p**3 + 4*p**2 + 7*p + 5. Let k(b) = -23*b**3 - 11*b**2 - 20*b - 15. Calculate 6*k(t) + 17*r(t).\nAnswer: -2*t**3 + 2*t**2 - t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 10123 + 1668 = 4*s, 0 = 2*r - s - 5645. What are the prime factors of r?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-g + 0*g - g)*(406 + 822 - 288) as h*g + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 5*l - 3*o - 2, 5*l + 15 = 5*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1492*p*s**2 + 3*p*s + 2*p + 83 wrt s?\nAnswer: 2984*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18 + -25. Let f(w) = -2*w - 1. Let t(o) = -10*o - 4. Let b(m) = 16*f(m) - 3*t(m). Is b(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2 and 65.5502?\nAnswer: 65.7502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 3*k**2 - 21*k + 3. Let q be w(7). Suppose -3*d = -8*d + 20, 113 = p + q*d. Which is greater: p or 100?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -2*j**2 + 1099*j + 14. Calculate f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 4*j - 26. Let f be y(7). Let d(s) = 2 + 4 - 19*s**f + 18*s**2 - 1 - s. Give d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -219*d*i*t**2 - d*i*t - 7*d*i + 3*d*t + 5*d + 312260*i*t**2 + 54*i*t + i - 5 wrt t?\nAnswer: -438*d*i + 624520*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 PM and 1:27 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -3*k - 14. Give b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 12922529 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 226363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 5*s**4 + 89135*s**3 + 402329760*s**2 + 45126279360*s + 131760276480 = 0. What is s?\nAnswer: -8856, -112, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(32\/(-6))*4. Let t(p) = 2*p - i*p + p + 3*p. Let v(d) = -d + 0*d - 2*d. Give v(t(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 442538.6km?\nAnswer: 44253860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-54)\/10 + 4\/10. Let z be 0 + -1 + (2 - -3). Let v(o) = -7*o**2 - z*o - 4 + 8 - 6*o + 4*o. Let t(y) = y**2 + y - 1. Calculate p*t(c) - v(c).\nAnswer: 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 2.91525 to 2 dps.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (-6)\/(-11) + 5864049\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*p + 23 = 0, 4*c + 4*p = 1 + 11. Suppose s = -s + 6. Let i be 13\/s + (-2)\/(-3). Solve q - c*a - 10 = -q, 0 = 4*q + i*a - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -505 (base 8) to base 13\nAnswer: -1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 3*c + 7. Let g be (-112)\/20 + 4\/(-10). Let d be 120\/(-16)*(-4)\/g. Determine n(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136)*-1*-3*-4)\/(sqrt(392) - (sqrt(392) + 3*sqrt(392)*-2)) + 5.\nAnswer: -2*sqrt(17)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 84001 or 83983?\nAnswer: 83983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m - 2*m - 3. Let t be (-9 - 1)\/(m*2). Suppose 0*n = -5*n + t. What is the lowest common multiple of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 12 = 0, 0*v + 2*c + 374 = 2*v. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 4090 = -u. Suppose v = -z + 4*z - u, 0 = 5*z + 4*v - 3431. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 PM and 12:10 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of -3*i**7\/280 + i**6\/120 + i**5\/2 + 3*i**4\/2 - 35*i**3\/6 + 33*i**2. Let g(s) be the first derivative of h(s). Factor g(c).\nAnswer: -3*(c - 3)*(c + 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6*6\/36*0. Is (1437 - v)*(-4)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-275)\/385*56\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 46015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -12.17? (a) 33 (b) -6 (c) 1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ld when two letters picked without replacement from hyhhyhhdhlhhhy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*f + 2*f - 3*f + 2 + 2*f - 2 + (-3 - 1 + 2)*(-3*f + 3*f - f))*(-4*f**2 + f - f) to j*f**3 + m + q*f**2 + c*f and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35829?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-9399)\/(-6) - 2\/4. Suppose -3*i - 2*o - 2305 = q, -6481 = 5*i - 4*o. Let t = i + 1814. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 1 = -n - 2*p, -n + p = -4. Suppose 3*g + 11 = n*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 5*o = 1146, 6*w + 4*o = 3*w - 1119. Let g be 6\/21 - (-2)\/14*3841. Let u = w + g. Calculate the remainder when u is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1549\/4 or -387?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81778 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1631042 divided by -1\nAnswer: -1631042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 287 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 17, n: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 19611304129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0711777396 and -65.\nAnswer: -64.9288222604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the first derivative of -5*m**6\/6 + m**5 + 15*m**4\/2 - 70*m**3\/3 + 55*m**2\/2 - 15*m - 2. Factor b(n).\nAnswer: -5*(n - 1)**4*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -167 + 305. What are the prime factors of k?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h + 3. Let i(o) = -5*o - 3. Let s be i(0). Let y(b) = -b. Calculate s*y(z) - f(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 32744146.\nAnswer: 32744149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (0 - -2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - (2 + -1) - -4. Suppose 5 = a + 5*s - n, 13 = 5*a + 3*s. Solve c - 2 = a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04 less than 0.0326743304388?\nAnswer: -0.0073256695612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:16 PM and 9:36 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4688110 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + 5966?\nAnswer: 5966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 35 = 0, 2*b - u = 2846 + 527. Calculate the smallest common multiple of b and 4056.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.5 and -1106094231?\nAnswer: 1106094231.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -40.1 + 40.1. Which is the closest to g? (a) 12 (b) 2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Factor -6*i**2\/7 - 18119772*i\/7 - 13680255722166\/7.\nAnswer: -6*(i + 1509981)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -10, -2 = -3*m + b + 4*b. Suppose 7*n + 19 + 16 = 0. Sort 0, m, n in decreasing order.\nAnswer: m, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (12 + 2)*36\/8. Let b be (-15582)\/w - (-5)\/(-3). Let j = -175 - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/(-14)*((-52)\/(-4) + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2687540929.\nAnswer: 331, 1709, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor s**4\/2 + 11*s**3\/2 + 27*s**2\/2 + 25*s\/2 + 4.\nAnswer: (s + 1)**3*(s + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-2\/3)\/q)\/q)**4*((q**2*q)\/q)\/q**(-6\/11) assuming q is positive.\nAnswer: q**(-268\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l**4\/3 + 2*l**3\/3 - 8*l**2\/3 - 8*l\/3 = 0. Calculate l.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -9745 divided by 8\nAnswer: -9745\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83 + -83.2. Which is the fourth biggest value? (a) -0.3 (b) -1 (c) x (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11? (a) 5 (b) 4 (c) 3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.43 + 0.07. Let z = 0 + 3.6. Let i = t + z. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4821 divide 157000686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(((-6)\/(-10))\/3). Let r(i) = -i**3 - 19*i**2 - 31*i + 10. Let g be r(-2). Solve 5*f + 5 = -x, -f = -x + g*f - n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 300 is divided by 300.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 15*g - 2. Let k(q) = -54*q + 2. Let f(a) = k(a) + 2*v(a). Let u(s) = -3*s**2 - 28. Give f(u(p)).\nAnswer: 72*p**2 + 670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000005844 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the third derivative of -17*b**6\/120 - 5*b**4\/24 - 18*b**2. What is the second derivative of f(s) wrt s?\nAnswer: -102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-51 + 51 + 13*p**2)*(-2 + 1 - 1 + (4 - 2 + 0)*(-3 + 1 + 1) + 0 - 3 + 11 + 4 - 1 - 4).\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*t + 23*t = -45*t + 28046596. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 + 4*l. Let g be (26\/65)\/((-2)\/(-10)). Let u be r(g). Let w be u\/8*1*-2. Let i(s) = -5*s**2 + 1. Give i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 1\/1729 (b) -4\/5 (c) -3 (d) 1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(17) + sqrt(1088)) - (sqrt(119)*-1 + sqrt(119))\/sqrt(7)) + sqrt(17) + (sqrt(204)\/sqrt(192))**2 + 5*(sqrt(17)*5)**2.\nAnswer: 19*sqrt(17) + 34017\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 60*t**3 - 120*t**2 + 35*t - 35. Let u(y) = -5*y**3 + 10*y**2 - 3*y + 3. Let f(q) = -35*u(q) - 3*w(q). Factor f(c).\nAnswer: -5*c**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -713, -711, -709, -707, -705?\n\"Answer: 2*g - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h + 2*h - 3*h)*(5698*h + 4839*h - 1931*h).\nAnswer: -8606*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.5 (c) -49648\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**2 + 6*c - 1. Let v(p) = -2*p**2 + 12*p - 1. Let z(g) = 5*a(g) - 2*v(g). Suppose 14 = 4*b - 2. What is the least common multiple of 1 and z(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -162.00012 + 162. Round v to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {d: 2, f: 2, p: 1, i: 1, b: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1337502 to the power of 1\/2, to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(7) - sqrt(567)) + 5).\nAnswer: -20 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17622 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18.2152 + -0.1192. Let w = -49 + 67. Let o = w - n. What is o rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 3*a**4 + 774*a**3 + 32433*a**2 + 155574*a - 447120 = 0.\nAnswer: -207, -45, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2661628 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 12:22 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/2)\/f)**(-16)\/(f**(2\/3))**(1\/4) assuming f is positive.\nAnswer: f**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1923 + 5772 - 1925 + 62*m - 1924.\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jeeeeeee. Give prob of sequence jeee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (36\/15)\/((-2)\/10). Let c = o + 20. Suppose -c*b - 20 = -3*b. Let m(l) = -l**2 - 3*l + 5. Determine m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4868 times 0.0737?\nAnswer: -358.7716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of -5*o**3\/3 - 1. Let r(t) = 5*t**2 - 3*t + 3. Let q(f) = -8*f**2 + 5*f - 5. Let g(v) = -3*q(v) - 5*r(v). Determine h(g(a)).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 1 - z + z + 3*z + 3*z. Let o be c(-7). Let h = o - -190. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 132 + 119 - 10*a - 249.\nAnswer: -10*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be 154\/10 - (-9)\/15. What is the greatest common factor of 80 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 100\/75 - ((-2)\/(-60))\/(2*(-13)\/(-9035))?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 30 = 4. Suppose 8 + c = 3*u. Suppose -10 = -2*y + u*y. Which is greater: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*v + 3*v**3 + 0*v - 1741650 + 1741650.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 112 and 46256.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 20. Let h = 15 - g. Solve 0 = 5*n + 4*s - h - 18, 2*s = -n + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2451)\/(-8))\/3 + (-2)\/16. Let q = w + -97. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 40\/1 + (-8 - -7). Suppose 5*l + 4*r = 36, 2*l - 13 = -5*r + 15. What is the smallest common multiple of l and (-2 - x\/(-12))\/((-1)\/(-16))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 10 = -4*r. Suppose 3*d - r*d = 2. Suppose d*v + 18 = 4*x + x, 1 = v. Solve 2*g - 18 = 3*y - 5, 18 = x*g + 2*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*o + 325 = 105. What is the remainder when 62 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 134665?\nAnswer: 5, 23, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/4*(-80)\/(-30). Let y be (-1 - -5)\/j - -1. Factor -2\/3*l**y - 4\/3*l - 2\/3.\nAnswer: -2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + -3. Let p = -0.5633 - 14.4367. What is the second biggest value in -0.5, h, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -202*d - 75*d - 172*d = -108*d + 1023 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, p: 12, h: 3}. What is prob of picking 3 p?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v - 4*v + o - 19, 0 = -3*v - 4*o. Which is the closest to 0.1? (a) 0 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16337)\/(-496) + -33 - (-602)\/32 - 6)*-4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.73 + 3.399. Let v = -0.35 - c. What is v rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102397 minus 13.0106?\nAnswer: -102410.0106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -f + 838, -x + 2*f = 6*f - 272. Calculate the greatest common divisor of 32 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the first derivative of 5*o**2\/2 - o + 1. Let m(d) = 6*d - 2. Let y = -50 - -52. Calculate y*m(b) - 3*c(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1352 and 78.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 2\/13, 4\/3, 31, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*v**2 - 147*v**2 - 76*v**2 - 150*v**2.\nAnswer: -410*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -240, -232, -222, -210, -196?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1597565 divided by 98\nAnswer: -1597565\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2215 - -2275.48. Let p = -60.047 - -0.047. Let f = m + p. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1234384367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.1 - -2. Let b(z) = 24*z + 7. Let c be b(-7). Let x = -165 - c. What is the smallest value in x, -0.4, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0014215478 to six dps.\nAnswer: 0.001422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 75 - -70. Calculate the highest common divisor of y and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -32 + 30. Sort k, 0.06, 3, 0 in ascending order.\nAnswer: k, 0, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -71, -2, 76, -3 in ascending order.\nAnswer: -71, -3, -2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3 - 16545864*r**2 - 34220718484170*r - 68441370784900.\nAnswer: -2*(r + 2)*(r + 4136465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -132605118 != -132605120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -8*j. Let d be p(-1). Solve 10 = -5*n + 3*n - 4*c, 2*n + 3*c = -d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 9)*(4 - 2 + 0 - q).\nAnswer: -7*q + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -w + 2*z + 16, 4*w + 4*z = -8. Which is smaller: 106 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/14)*i**21*i)\/(i*i*i\/(i\/(i\/(i*(i*i**12)\/i*i))*i)*i*i**(-24\/11)) assuming i is positive.\nAnswer: i**(5407\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -3*o + 24. Let a(v) = v**2 + 2*v - 211. Let l be a(14). Determine s(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*b**3*x + 259*b**2*x + 4*b**2 + 210064*b*x - b wrt b.\nAnswer: 30*b*x + 518*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 - 1031432140?\nAnswer: -1031432143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 9\/66*(-44781)\/219834\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of -x**5\/60 - 25*x**4\/24 - 11*x**3\/3 - 33*x**2 - 1. Let p be u(-24). Solve w - 3*g - p = 0, -6*w - 2*g = -w - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + n + 4 = 0, -5 = 4*n + n. Is 158\/((-3)\/z) - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -13.5 * -0.34.\nAnswer: 4.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m - 2*w + 3, 6 = 4*m + 5*w - 7*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -306, -614, -922, -1230?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8689916148?\nAnswer: 2, 3, 724159679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-58)\/10 + -1 - (-3)\/(-15). Let p(u) = 2*u - 4. Determine p(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 6 = -8*a + 6*a, 2*w = -4*a + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 6, w: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 414 and 48.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(-4)*-3)\/(6\/(-28)). Solve 0 = 4*a + c + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 2\/15, 0.2, 11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3\/2)\/(30\/8). What is the third biggest value in o, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/246032347 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 + 12*k**2 + 14*k + 22. Let f be g(13). Let h = f + -33. What is the tens digit of 53\/((-3)\/((-6)\/h))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 + 5*o**2 - o + 3. What is the remainder when (-3)\/12*(-83 - 13) is divided by x(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.38 + 11.38. Let t = i + -6. What is the smallest value in -4, t, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -725 - -725.1. Which is the second biggest value? (a) u (b) 2\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-4))\/(-8*(-4)\/224).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/(i**(-1)\/i)))\/i*(i*i**1*i)\/i*i*i**2*i*i**(7\/6) assuming i is positive.\nAnswer: i**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72201*x**4 - 938607*x**3 + 1660545*x**2 - 794073*x - 66 = 0. Calculate x.\nAnswer: -2\/24067, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = x + 2*x + 3*o, -3*x = -2*o - 42. Suppose -7*g + 555 = -x*g. Let j = 49 - g. What is the highest common divisor of j and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -250, -507, -762, -1015, -1266?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -r + 2*l - 3, -r - 5*l + 32 = 0. What is the highest common divisor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/3 - 2150\/4902.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 482101665 rounded to the nearest one hundred thousand?\nAnswer: 482100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 27 (b) 17 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -3, 1907, -33 in ascending order.\nAnswer: -33, -3, 5, 1907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 5.041653505 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -3 - (-4 - -2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -55 + f + f - 52 + 111. Calculate k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 7 - (-63 + 47)) + (27 - 59)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 2*w + 664, c + 4*w - 29 = 146. Let q = -68 + c. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 3*f. Let y(a) be the third derivative of 10*a**4\/3 + 74*a**2 - 13. What is q(y(u))?\nAnswer: 240*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20320281?\nAnswer: 3, 752603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, n: 4, x: 8}. What is prob of picking 2 x?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -53*r**2 - 330*r.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the first derivative of 110*g**3\/3 + 151*g**2\/2 - 151. What is the second derivative of r(o) wrt o?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.207? (a) -51 (b) -1\/8 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 45, 34, 37, 60, 109, 190, 309?\n\"Answer: q**3 + q**2 - 21*q + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17023, -17149, -17271, -17389, -17503, -17613?\nAnswer: -17719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 PM and 9:13 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -3*n - 7. Let l be (-45)\/(-18)*(-4)\/(-5). Let g = -1 - l. Let m be o(g). Solve -t - t = -m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 7:11 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 17722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -z**4\/24 - 5*z**3\/6 - 325*z**2. Calculate a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, a: 4, c: 1}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3*(6 + -5 - 2). Solve 2*a + 14 = 4*p, -28*p - x*a = -24*p + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6*(-6 + (-130)\/(-15)). Let d be k\/6*(-21)\/(-28). Find g, given that -2*g + 6 - 11\/6*g**d + 1\/6*g**4 + 1\/3*g**3 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from apkapkkfpkkkkpkpzk. Give prob of picking 1 a and 1 z.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 + (12 - 50))*-697 - 6\/2?\nAnswer: 2, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16 and (-1 - -4 - -51) + (-8)\/4.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, k: 2, y: 1, x: 1, s: 1, d: 1}. What is prob of sequence ek?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -288.68919 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3 - 1. Let m be u(1). Suppose m = 3*g + g. Let r(k) = k**2 - k + 8. Is 4 a factor of r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - (1*sqrt(110)*-2 + sqrt(110))) + -1*sqrt(110)*4)\/(1*sqrt(810)*-2).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/4, 0.1, -37 in decreasing order.\nAnswer: 3\/4, 0.1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 divided by 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8570762?\nAnswer: 2, 4285381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from dqqk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 2*u + 24, -3*q - 5*u - 39 = q. Let o be (4\/6)\/(3 + 22\/q). Let x be ((-3)\/6)\/o - 3\/(-2). Solve 3*r + x*r - 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-17*6\/(-9)). Is -0.1 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 18, -200, -2 in ascending order.\nAnswer: -200, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -169 = -5*d - 159. Solve 5*r - 4*g + g + 6 = 0, -5*r + d*g = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -2*q**3\/7 - 470594*q**2\/7 + 1882408*q\/7 = 0.\nAnswer: -235301, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve y = 2*i - 5, -i + 3*y - 289 + 304 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k**3 - 26913*k**2 + 26913*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 699.3 - 699.4. Which is the nearest to 2\/5? (a) 1 (b) 1\/4 (c) i (d) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 2310404290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38 is divided by (-3)\/(-4 + 37\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*i + 618*i + 92*i - 49626 = 11037 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (((sqrt(1872) - sqrt(1872)*1) + 5 - sqrt(1872)) + 5)**2 + 3.\nAnswer: -240*sqrt(13) + 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, 6, -77, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6951*x - 300 = 6971*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 4*o - 212. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 291 divide 570238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 179741 and 225913.\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by 1168.\nAnswer: 7\/1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1190, 1195, 1200, 1205, 1210, 1215?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of p**6\/120 + 13*p**3\/3 - 3*p**2\/2 - 126*p. Let u(y) be the second derivative of b(y). Let r(z) = 22*z - 1. What is r(u(n))?\nAnswer: 66*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.139 - -0.079?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 0.628, -5, 13 in increasing order.\nAnswer: -5, -0.5, 0.628, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 + 17*t**2 + 26*t - 23. Let k(c) = -3*c**2 - 5*c + 5. Calculate -11*k(p) - 2*r(p).\nAnswer: -2*p**3 - p**2 + 3*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-15)\/60 + (-34)\/(-8). Let q = 6 - c. Solve -d - 12 = q*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.8 - -3.9. What is the third biggest value in -4, m, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 0.2, -5\/73, -5, 9, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3899116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + 2. Suppose 5*n + 2*m - 13 = m, 2*m + 2 = w*n. Suppose c**4 + 8*c**5 - 3*c**4 + 0*c**4 + n*c**2 - 8*c**3 = 0. What is c?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, 5, 8, -547, 2 in decreasing order.\nAnswer: 8, 5, 3, 2, -5, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be 297\/81 - 15\/9. Solve 2*p + 0*n = l*n + 18, p + 2*n + 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -d**2\/4 + 273*d\/4 + 207 = 0.\nAnswer: -3, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.23 - -650797462095.\nAnswer: 650797462095.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 371619 or 371618?\nAnswer: 371619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 7*l**2 + 61. Let z(n) = 2*n**2. Give u(x) - 2*z(x).\nAnswer: 3*x**2 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 140 a factor of 262493420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3074? (a) 2 (b) 2\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -12*l + 1836. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:04 AM and 1:51 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.066 (b) 2 (c) -0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 + 20*l - 164. Let z be d(7). What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14580 divided by -1?\nAnswer: -14580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -333 + 192 - 2085 - 218 + 15*v**2.\nAnswer: 15*v**2 - 2444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 10:55 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1906 and 14.\nAnswer: 13342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.472956378 rounded to two decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - -10100011?\nAnswer: 10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w + 111*w + 488 = -133*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20*(-3)\/(-2520))\/(25\/60).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*(v\/v**(-1))\/v*v*v*v\/v**(2\/21))\/((v\/v**(-7))\/(v\/(v*v\/(v*v*v*v**9\/v)*v))) assuming v is positive.\nAnswer: v**(145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6*n*q*t + 3847*n*q - 2*n*t - 13*n + 5*q*t - q + 179111*t wrt q?\nAnswer: 6*n*t + 3847*n + 5*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 11330040124 - -10?\nAnswer: 11330040134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eude when four letters picked without replacement from udududees.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 - s**2 + 5. Let u(j) = -j**2 + 4. Let o = -18 - -14. Give o*d(x) + 5*u(x).\nAnswer: 4*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g. Let r(m) = -213*m**2. Give r(c(b)).\nAnswer: -852*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15793889?\nAnswer: 1031, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2285271*d**2 + 2285271*d**2 + 30*d**3.\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 + 7*c. Let i be -8 + 8 + (1 - 7). Let d be a(i). Calculate the common denominator of ((-27)\/d)\/((-8)\/(-12)) and -75\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -2*p**2 - 22*p - 14. Let b be z(-10). Let g(r) = 13*r**2 - 6*r - 13. Does 13 divide g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 - 131\/4*t - 1\/4*t**2 = 0.\nAnswer: -131, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 5*t = 24. Let c(q) = -2*q - 2778 + q**3 + 6*q**2 + 2778. Let h be c(t). What is the greatest common factor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4214302000 - 4?\nAnswer: 4214301552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -16*b + 16. Let g be i(-5). Let v = -8 - -14. Let p be v*4*2\/4. What is the greatest common factor of p and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -4*s - 20, 5*s - 39 = 115*q - 112*q. Let w be 358\/6 + 3 - -2. Factor 176\/3*p**s - 6 - 44*p - w*p**2 - 32\/3*p**4.\nAnswer: -2*(p - 3)**2*(4*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2101 (base 6) to base 16.\nAnswer: -1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 3*s + 49 = -12, 373 = -5*w + 2*s. Let t = w - -140. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/((-16)\/(-10))*2\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the second derivative of f**7\/1260 + 7*f**6\/720 + f**5\/120 + f**4\/6 - 3*f. Let g(q) be the third derivative of j(q). Is g(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 85*k**2 - k + 8. Let n be i(2). Suppose 0 = 6*a + 28 - n. Calculate the remainder when a is divided by 4\/(-26) - 732\/(-26).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -313.6 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -4*d + 6*d - 12, -15 = -d - 5*g. What is the closest to d in 2, 1, 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 83\/(-249) + 16\/3. Solve -r*k + 103 - 113 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60432601?\nAnswer: 60432601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q**(4\/9)*q*q*q)\/q*q)\/q**(-1\/17) assuming q is positive.\nAnswer: q**(689\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*p - 9*p - 65 = 0. What is the greatest common factor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -2, -5, 0.1, 2.98, 2\/331?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138188 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.004294, 4, -0.07 in increasing order.\nAnswer: -0.07, 0.004294, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 139807882?\nAnswer: -41942364.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 394299623?\nAnswer: 67, 1193, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*y**3 - y**3 + 5*y**3 + 3*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lluuu. Give prob of sequence lul.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - g + 44 = 0, -2*n - 12 = -3*n + 2*g. Suppose 32 = n*h - 18*h. Let a(p) = -10*p - 6*p + 2*p**2 + h*p. Let c(d) = 2*d**2. Calculate a(c(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2460034538?\nAnswer: 2, 13, 17, 19, 53, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -4)*3 - (-2704)\/(-304)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 35513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 4*c**2 - 8*c - 6. Let t(h) = -3*h**2 + 5*h + 4. Determine 5*s(v) + 7*t(v).\nAnswer: -v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (919*o - 919*o + 239*o**2)*(-4 + 1 + 4)*(2*o + 0*o - o).\nAnswer: 239*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ge when two letters picked without replacement from geegaeeeg?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-17)\/51*(4 - (5 + -2)). Which is the fourth smallest value? (a) 7 (b) 8 (c) x (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 786861577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -26*f + 8*f + 12*f**2 - 1 + 2*f**3 + 6 - 14*f**2. Is j(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 104 and 118768975.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g**(-38))\/(g*((g*g\/((g**(1\/33)*g)\/g*g)*g)\/g)\/g))\/((g\/((g\/(g**(-1\/2)*g))\/g))\/g**10))**(-14\/9) assuming g is positive.\nAnswer: g**(13615\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 6992 a factor of 552040652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 1 + 7*p - 5*p)*(5*p + p - 2*p).\nAnswer: 8*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - 9 - (-8 - (-8 + 6 - 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 + 4*q**2 + q. Determine f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*l - 678*v + 674*v + 5266 = 0, 5*l = 3*v + 808. Suppose -3*j + 161 = -5*z - 108, 3*j = 2*z + 266. What is the remainder when l is divided by j?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13363243 to the power of 1\/2, to the nearest integer?\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -1074 by -358.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 28.9*3247\nAnswer: 93838.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 177236 + -38509. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (-7 - 0) + (0 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 144 + -143.99722. Round s to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*t + 98 = 68 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11643*b**4*l**2 - 1256*b**4 + 4*b**2*l**2 - b**2*l + b*l**2 + 2*l + 24088 wrt b.\nAnswer: -279432*b*l**2 - 30144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**4 - 1428028*y**3 - 509860259142*y**2 - 31607219181244*y - 489890627041729.\nAnswer: -(y + 31)**2*(y + 713983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -30311 < -30317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + p = -t + 91995, -t + 18380 = 4*p. Round t to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllmmllllll.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -3*r - 6. Let f = -4 - -6. Let n be (0\/((-6)\/f))\/(-1) - 2. Let m be b(n). Solve m*i + 2*i - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -16? (a) 17637 (b) -0.04 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -5 (c) -3 (d) 2\/3 (e) 10567\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.020416794 rounded to five dps?\nAnswer: -0.02042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 - 4 = -4*s. Let o be (-18)\/(-4) + 10\/20. Sort s, o, -4 in descending order.\nAnswer: o, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3\/(-7))\/(16\/(-112)). Suppose 2\/7*y**2 - 4\/7*y + 0 + 4\/7*y**5 + 12\/7*y**n - 2*y**4 = 0. What is y?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + -6356?\nAnswer: -6354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = q - 229, 52*b - 569 = 47*b - 3*q. What is the remainder when 445 is divided by b?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -94 - -127. Let z = -31 + v. Solve -d - z = -0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*p + 3. Suppose 3*v + 4*r - 24 = -0*r, p*r = -2*v + 14. Solve 0 = -4*w + 3*w - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -l + l - 12 + l - 5 - 2*l.\nAnswer: -l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - 2*p + 83 + 275, 3*b + 271 = -p. Let q be (-1134)\/b + 3\/(-5). Let i = 30 - q. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 + -145 + (0 - 18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-440)\/(-200))\/((-2)\/(-10))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -13*y - 5*y + 15*y. Let q(v) be the first derivative of -13*v**5\/60 - 5*v**2\/2 - 9. Let d(j) be the second derivative of q(j). Determine d(u(s)).\nAnswer: -117*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be -62627 + 6*(-7)\/(-6). What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 539 divide 999306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -r*s**2 - 21*r*w**2 - r + 220334*s**2*w**2 + 7576*s - 38 wrt w.\nAnswer: -42*r*w + 440668*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 44363097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**2 - m - 13438 + 6*m + 26985 - 13481. Calculate t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4492*d - 28 - 26 - 4476*d + 78 - 24.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -23 + 8746?\nAnswer: 8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 276, 539, 802?\n\"Answer: 263*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/x**1))**(-25)\/(x**2\/x)**(-11\/4) assuming x is positive.\nAnswer: x**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 - 23*o**2 + 179*o + 146. Determine g(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -6915408 by -4.\nAnswer: 1728852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-6 - (4 - (-29 - -44))) + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 1\/7 (c) -7\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -15 + (-26 + 20 - -6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 90873198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 323200310 (base 4) in base 15?\nAnswer: 4c35e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*r - 3*r + r)*(-83 - 528 - 693) to m*r + v and give m.\nAnswer: -2608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137050 is divided by 268.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(3\/4))**18\/(z\/((z*z**0\/z*z*z)\/z)*z*z**(-5\/3)*z))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/3015 - -171857\/6030. Which is greater: 30 or w?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 1 - 4. Suppose -82 = -w*z - 32. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1447668661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 3*x**2 + 5*x + 13. Let l = 16440 - 16445. Let d(j) = j**2 + 2*j + 6. Calculate l*d(h) + 2*o(h).\nAnswer: h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -23272*q**3 + 3*q**2 + 218*q + 314157862 wrt q.\nAnswer: -69816*q**2 + 6*q + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 8\/7 (b) 1\/10 (c) -0.05 (d) -8 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8 - -4)*(0 + 1). Let w be (-12)\/(-2) - (-12)\/t. Let h be 13 - 9 - (w - 0). Solve 2*s + 2*k + 2 = 0, 0 = -4*s + 2*k - 5*k + h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from fttwetfwwtfttftwefe.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*y - 3*y + 16 = 0. Suppose 0 = -52*n + 1 - y. Factor 2\/15*f**3 - 4\/15*f - 2\/15*f**2 + n.\nAnswer: 2*f*(f - 2)*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 461 - 43. List the prime factors of s.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g**2. Let i(r) be the first derivative of -r**4\/6 - r - 1. Let u(c) be the first derivative of i(c). Give u(f(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -738870*k**3 + 451878*k**2 wrt k.\nAnswer: -4433220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 6057, 6046, 6035?\n\"Answer: -11*m + 6068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 + 1)*(-1 + 3). Suppose 8*f - 4*f = 148. Suppose 3*t = x*t - f. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/15)\/(30\/450)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 228122.\nAnswer: 2, 167, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t\/(t*t*t*t*t\/(t*t**(-12))*t)*t)**(-18)\/(t**(-30)\/t**1) assuming t is positive.\nAnswer: t**265","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 11*z**3 - z**2 + z + 1. Let w = 853 - 854. Give q(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/((-63)\/(-6)))\/(7\/21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2320.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 957 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 35*r + 957. Let w be o(-3). What is the greatest common factor of w and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12623579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -834990.73 and 1?\nAnswer: -834990.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -3*j - 4. Let q be ((-2)\/2)\/((-4)\/(-20)). What are the prime factors of r(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 - (-5 + 9\/2). Let m = -149 + 148.97. Which is the closest to z? (a) -1\/3 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*-84293.\nAnswer: -421465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -6*w**2 + 16*w + 10. Let c(j) = -17*j**2 + 46*j + 30. Calculate 3*c(d) - 8*o(d).\nAnswer: -3*d**2 + 10*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*g = -11*g + 2112. Suppose -660 = -2*s - 8*s. Calculate the highest common factor of g and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 31.27998144 + -31.28. Round a to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12040 and 113232?\nAnswer: 24344880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from qlaqjaalqqaajaaaq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -20.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.016708 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -15707*n. Let d(x) be the first derivative of -2*x**3\/3 + 13919. Give d(v(b)).\nAnswer: -493419698*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*y**2 + 69*y + 124?\nAnswer: -6*y + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 - 6. Let t(n) = n**3 + 16*n**2 - 15*n + 35. Let h be t(l). Let a be -7 + 5 + h*8. Solve 1 = -z + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000047707902 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -4*h + 4. Let b(n) = -8*n + 8. Determine 3*b(v) - 7*x(v).\nAnswer: 4*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 607*g + 616 + 884 = -928 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of 0*u - 7\/2*u**2 + 4 + 0*u**3 + 0*u**4 + 1\/5*u**5. Find the second derivative of c(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -5, 27, 592 in descending order.\nAnswer: 592, 27, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -5*g**3 - 29910*g**2 - 59640540*g - 39641078920 = 0. What is g?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 436*u**3 + 312*u**3 + 312*u**3 - 1071*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.3755 - 0.0755. What is the biggest value in z, -1\/4, 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 1. Let p(c) = 3*c**2 + 6*c + 6. Let v(x) = -5*x**2 - 12*x - 12. Let q(k) = h*v(k) - 7*p(k). Calculate the smallest common multiple of 6 and q(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9*m + 19*m - 32*m - 32 in the form h + k*m and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) + sqrt(8)*-2)**2 - sqrt(20)\/sqrt(250).\nAnswer: -sqrt(2)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -383\/55 + 70\/11. Let i = 0.21 + 1.79. Let s = i - 0. What is the closest to -0.2 in 0, y, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -5*y**2. Let b(v) be the first derivative of -5*v**3\/3 - 47. Calculate p(b(k)).\nAnswer: -125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.65336 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*l = 118*l - 780 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (9 - -2) + 173 + -221?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 6*p. Suppose 5*u - 28 - 42 = p. Let i(w) = w**2 - 7*w - 27. Let a be i(10). Solve 4*n - u = a*k, -2*k + 0*k - 1 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 - 6. Suppose x*p = -2*s + 12, 13 = 6*p - p + s. Let q(j) be the third derivative of j**5\/30 - j**4\/12 + j**3\/3 - 3*j**2. Calculate q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 4*r**2 + 3. Let q = 19 + -22. Let j(z) = -7*z**2 - z - 5. Determine q*j(v) - 5*s(v).\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 - 24.7.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4994737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 - 3 + 3)*(-2*n + 2 - 2) + 0*n + 3*n - 7*n - 3 + 3 - n + 0 - 2*n + 0 + (1 - 4 + 1)*(2 + 2*n - 2) + 2 + 2*n - 2)*(n - 1 + 1).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**2 + 65*o + 2130. Let n be m(-38). Solve -1113*f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 352, 557, 762, 967, 1172?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuwb when four letters picked without replacement from bwuuwuubbbbwbuwub?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2383*j = -352*j + 936*j + 163740 - 33192 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of p**4\/2 + 4*p**3\/3 + 3*p + 4. Let o be a(-5). Let v be (12\/7)\/(-3)*o\/21. Which is bigger: 25\/6 or v?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21*n**3 + 97511*n**2 + 2*n - 269129.\nAnswer: 126*n + 195022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.7 in -0.04, -2, 2, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*l = -566 - 248 - 82 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s**5\/10 + 2*s**4\/5 + 49*s**3\/5 - 322*s**2\/5 + 983*s\/10 - 44 = 0. What is s?\nAnswer: -11, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6900 = 195*l - 189*l. List the prime factors of l.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + 4*g + 36. Is (-1 + (-3)\/g)*-526 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 - 3 + 0 + 7 + 5 - 25873*p.\nAnswer: -25873*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 50 = -2*l + 90, -9*l = -3*p - 210 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.007513 to 4 decimal places.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -606\/85 - -3437\/680. What is the common denominator of g and 1\/1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20)\/(sqrt(640)\/sqrt(10)))**2*-6.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16 and 14992.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -266*u**2 - 34*u + 16*u + 69*u**2 + 10*u + 9*u.\nAnswer: -197*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ci when two letters picked without replacement from {y: 4, m: 3, i: 1, c: 4, w: 1, u: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4690\/(-44555) + 18\/(-57)\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, l: 2, n: 1, j: 1, t: 2, o: 1}. Give prob of picking 1 n, 1 t, and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 11 = -3*q - 0, -4*d = q + 5. Sort -7, -3, d in decreasing order.\nAnswer: d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-12))\/((21\/36)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 + -9 - -52 - (-10)\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 172, 338, 506, 676, 848, 1022, 1198?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from {q: 3, l: 4, o: 2, n: 2, d: 3, t: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 3*j**2 - 6*j - 7. Let f = 24 + -31. Let o(g) = -2*g**2 + 9*g + 8. Let k(y) = -5*y**2 + 28*y + 24. Let x(l) = f*o(l) + 2*k(l). Give 5*x(s) - 6*z(s).\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1126 + -2103?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 24\/13, 7\/15, -0.4?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 4*c - 10*x + 14*x, -2*c + 23 = -3*x. Suppose 43 = -c*h + 64. What is the smallest value in 0.025, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 48770 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 298980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are -0.1 and 29\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 219052 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 3 k when four letters picked without replacement from {r: 3, k: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 2 - 6 = 2*y, -7 = -2*s + 3*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-3*(-3 + sqrt(180))*-5 + 4 + -1)**2.\nAnswer: -7560*sqrt(5) + 42260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -7 + 5*y - 4*y + 3. Let j be 30\/(-45) + 2\/(-6). Let u be -1 - j*9\/(-3). Give v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32 and 54046752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 2*n**3 - 4*n**2 + 6*n - 2. What are the prime factors of m(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.1 + -0.7. Let y(h) = -h - 3. Let p be y(-3). Let w be 2 + 1\/(-1) + p. What is the closest to w in -2\/7, x, -4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 2 j when four letters picked without replacement from jmjjm.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 44 = -86. Suppose g + o = 23. Factor -7\/3*k**3 - k + 4*k**g - 2\/3.\nAnswer: -(k - 1)**2*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the third derivative of m**5\/6 - m**4\/8 - m**3\/6 + m**2. Let h be a(-2). Suppose 9 = -4*o + h. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1398, 1399, 1400, 1401?\n\"Answer: f + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/6*6\/9 - 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3563c (base 13) to base 6.\nAnswer: -2032245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -5*n**2 - 3*n - 1. Let w = -223 + 241. Let o(v) = v**3 - 18*v**2 + v - 21. Let t be o(w). Let u(z) = -z**2 - z + 1. Calculate t*u(h) + f(h).\nAnswer: -2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qldqkhhd. Give prob of picking 1 d and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**3 - 18*t**2 + 19*t - 31. Let s be x(8). What is the hundreds digit of -556*s\/((-21)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 - 10. Suppose 3*t - 8 - 1 = 0. Suppose 5 - t = s. Solve l + 3 - s = f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of -3*280\/(-15) - 1 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 21\/(-6)*(-4)\/7. Suppose 0 = b*c + 2*c. What is the derivative of o**4 + c + 4 - 14*o**3 + 14*o**3 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -335 or -332?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**3 - 11*l**2 + 14478*l + 9656.\nAnswer: -(l - 68)*(l + 71)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 60, 65, 76, 99, 140, 205?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (h + 0*h - 2*h)*((3 - 3 + 2*h)*(-1 + 0 + 3) + (-6 + 2 - 36)*(-14 + 16 - 7*h - h) + h + 2*h - 5*h).\nAnswer: -322*h**2 + 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -3*w**2 + 3*w - 5. Let u(z) = -2*z**2 + 2*z - 7. Give -4*c(t) + 3*u(t).\nAnswer: 6*t**2 - 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/19? (a) 3 (b) 2\/5 (c) 2 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 4 = 3*k, -3*i + 9 = 5*k + 3. Let p = 571 - 509. Let y = 67 - p. Which is the fourth biggest value? (a) k (b) 0.3 (c) 0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z + 5*v + 88, 0 = -5*z + 15*v - 12*v - 73. Let i be z\/((-561)\/(-6)) + 0. Sort i, -1, 1\/4, 1 in decreasing order.\nAnswer: 1, 1\/4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-11) - (-463202)\/21142?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -23*p - 16. Let r be y(-7). Suppose -4*d - r - 349 = 2*i, 2*i + 616 = -5*d. What is d rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2459.8169 take away -1.1?\nAnswer: 2460.9169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 13 - o - 8 - 4. Let b be l(-13). Let v = b + -11. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes after 10:02 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1005214 and 1330?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 23?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 27 + (46 - 37 - 20)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29422, -29431, -29452, -29491, -29554, -29647, -29776?\nAnswer: -29947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 64 - 44. Let q = 27 - 17. Suppose 36 = -q*f + 13*f. Calculate the lowest common multiple of k and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -1962*u - 3923. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/4 - 13765*y\/2 + 189475225\/4.\nAnswer: (y - 13765)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3172035?\nAnswer: 3, 5, 211469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + z - 6 = 0. Let l = 23 + -39. Let s(k) = -2*k**2 - 2*k + 1. Let j(d) = -10*d**2 - 10*d + 4. Let h(x) = l*s(x) + z*j(x). Factor h(i).\nAnswer: 2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3613.9 + 3614. Which is the second biggest value? (a) t (b) -8\/7 (c) -0.3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-376)\/3102)\/((-30)\/(-165)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ouco when four letters picked without replacement from {v: 9, u: 2, x: 5, o: 2, c: 2}.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 1099*q. Let b(y) = -247666*y**2. Calculate a(b(d)).\nAnswer: -272184934*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*x - 2*b - 12, -7*x - 989*b = -990*b - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 + 0)*(-3 - 3 + 3)*(3*o - 1 + 1).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -685*i + 121053 + 60476 + 13695 = 1437*i for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 9:50 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 756.8011 litres?\nAnswer: 756801.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2 + 223906*k + 159754716.\nAnswer: -2*(k - 112662)*(k + 709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) -0.4 (b) -35 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i. Let n(j) = 5*j. Give n(a(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and -4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 364554.8 and -1071?\nAnswer: 365625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 231*y - 231*y + 7*y**2. Let r(p) = 2*p**2 - p - 2. Let d(l) = -12*l**2 + 10*l + 20. Let o(i) = -d(i) - 10*r(i). Give m(o(b)).\nAnswer: 448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/9, 48, 3, 77\/5, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -160410 to the nearest one thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - h + 12 = 3*h, -h + 9 = -o. Let v be 760\/(-15) + 1 + o\/6. Let y = v + 47. Is y less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 12 = b, 125*b + 4 = 124*b + 5*m - 13 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -48, -102, -178, -276, -396, -538?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -40*z + 30*z + 40. Suppose -1329 = -4*h - 3*w, 0*h + 2*h + z*w = 672. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3213, -7345, -13327, -22089, -34561, -51673?\nAnswer: -74355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 179 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = t - 3*g, -12 + 4 = -2*g. Is 57 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 - 3*r**2 - 4*r + 6. Let x = -263 - -266. Let p be c(x). Let y(n) = n**2 + 7*n + 2. Give y(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 107 divided by -4631\nAnswer: -107\/4631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1.1414746 - -0.9?\nAnswer: -0.2414746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 32.8 or -450?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (44\/(-150))\/(24\/40). Let i = o - -1384\/3015. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 6) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 31 - -5141413?\nAnswer: 5141444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21742920 = -14*h + 5684920. Round h to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 6*x**3 + x**2 - x. Suppose -h + 2*y + 26 = -3*y, 5*h + 3*y + 10 = 0. Let a be q(h). Let n be (10\/(-4))\/(2\/(-4)). Is a greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17 - -44. Suppose y = 16*f - 15*f. Let m = f + 1. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -1985559.4?\nAnswer: 1985557.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 11 = -8*j. What is the units digit of (1 + 49\/21)*(-21)\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 28 + -12. Let o = -4 + q. Suppose f + 3*f = 4*h - 60, 3*h = -3*f + 27. What is the greatest common factor of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1))**(-34))**(-25) assuming m is positive.\nAnswer: m**(-850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1603, 2480, 3941, 5986, 8615?\nAnswer: 11828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 2\/7 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -393*j + 353*j + 120 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1.847094796 rounded to 3 dps?\nAnswer: 1.847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09435866588 rounded to five dps?\nAnswer: 0.09436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - (-4)\/(-2)) + 4. Suppose -c = r - 4. Suppose 19 - r = 2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 129383499 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 7 = -22*j + 23*j, 1 = -r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(((sqrt(2) - sqrt(18)\/(sqrt(27)\/sqrt(3))) + 0)*-1 - ((-2*sqrt(90))\/sqrt(5))\/(1*sqrt(441))))**2.\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 1 = -7. Let n(k) = -14*k - c - k**2 + 7*k + 5*k + 3*k - 4*k. Suppose 6*g - 2*g = -20. Give n(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -123*a + 190 + 3644 = 90*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -249\/52 - -59\/13. Which is the smallest value? (a) -0.5 (b) l (c) -1\/8 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + o - 2*o**4 + 9 - 7 + 1 to i*o**2 + w*o**4 + s*o + v + g*o**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 3*q**2 + 0*q**2 - 6*q**2. Let c(t) = -t - t + 2*t - 2*t. What is n(c(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 536595 is divided by 22358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**3 - 7*h**2 - 57*h - 28. Determine v(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12.4 + -11. Let y = 3.4 - n. Which is the closest to y? (a) 1 (b) 0 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22 minus -8.3?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -1305\nAnswer: -1\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -4 + 0 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.383 + -0.183. Are z and 115 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 23*d**2. Let v(s) = -120*s + 2522. Let z be v(21). Let u(q) be the first derivative of 0*q + 30 + 1\/2*q**z. Calculate u(n(w)).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 4*t + 17, 0 = 4*t - 13*s + 16*s + 9. Sort -4, -1, 2, t in descending order.\nAnswer: 2, -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -41*r**2 + 387*r - 166. Calculate i(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -875*s + 4. Calculate d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*q = 35*q + 41*q - 52. Let a(u) be the third derivative of 0*u**3 - 12*u**2 + 0*u + 1\/12*u**5 - 1\/15*u**6 + 1\/8*u**q + 0. What is n in a(n) = 0?\nAnswer: -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -151 + 168. Let t(d) = 3*d - 7. Let k(a) = -4*a + 8. Let z(q) = 2*k(q) + 3*t(q). Let b be z(n). Solve -4*y + y + 4 = -2*s, -4*y - 4*s = -b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37208, -31912, -26616, -21320, -16024, -10728?\nAnswer: -5432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, d: 1, h: 7}. Give prob of sequence dhr.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 413376954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = 11*i + 43. Let l(z) = z**3 + 13*z**2 - 17*z - 1. Calculate the remainder when 80 is divided by l(i).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = q + q - 15, -5*o - 4*q + 15 = 0. Let u(m) = 7*m + 1. Let v(j) = -j + 1. Let s(a) = o*u(a) - 5*v(a). Does 2 divide s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 1\/2, 0, -0.01, -2\/5, -1710, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1003111223 (base 4) to base 13\nAnswer: 9870b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 5, c: 1, x: 1, n: 3, t: 1, r: 2}. What is prob of picking 1 t and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2088 + -1437. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 209*a - 223*a - 56 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/14)\/(4\/8)*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183761?\nAnswer: 183761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 3\/4, -4, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 12*g**2 + g - 8. Suppose 20 + 16 = 3*o - p, 3*p = 0. Let i be j(o). What is the second derivative of -11*u + 0*u**i - u**4 + 17*u wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-4))\/3*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 12 = -2*r + 14, -r - 2*w + 5 = 0. Let u = -20 - -8. Let c = 8 + u. What is the second smallest value in c, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5920226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 6*a + 12 = 0. Let s = -163 + 159. Let q = a - s. Let b(i) = -i**3 + 6*i**2 + 6*i + 10. Calculate b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28340 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: Do -2288 and -2288 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -91\/3 - -31. Suppose -7*x = -4*x - 15. What is the closest to 1\/3 in j, x, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -118*o - 46. Let f(h) = -125*h - 37. Let k(b) = -5*f(b) + 4*n(b). Let v(y) = -14*y**2. Give k(v(d)).\nAnswer: -2142*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -129370, -259258, -389148, -519040?\nAnswer: -648934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(4*(sqrt(70) - 2*sqrt(70)*2))\/(sqrt(40)\/(sqrt(4) + (sqrt(20)*1)\/sqrt(5))).\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 25 - 196 = 4*p, -2*p = -2*b + 110. Let u be (0 - 0)\/4 - p. Let o = u - 7. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of (-6230)\/(-60) - (-1)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 g when three letters picked without replacement from uxgootz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of -k**7\/945 + k**6\/135 + k**5\/135 - k**4\/9 - k**3\/3 + 2*k**2 + 32. Suppose r(n) = 0. Calculate n.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/(-36))\/(((-4753)\/(-105))\/(2100\/1000))?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -95 - -95. Which is smaller: 6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -63.3433 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*s + 44. Find the common denominator of 55\/2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90*d + 86*d + 112 = -4*o, -5*d + 132 = -3*o. Which is smaller: d or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 8\/(-240)*-102?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -6853834, -11 in increasing order.\nAnswer: -6853834, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of 162*b**5\/5 + b**3\/3 + 27*b**2\/2 + 104. What is the third derivative of g(d) wrt d?\nAnswer: 3888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/29804 and -87\/1444.\nAnswer: 10759244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c = 15*k + 4*c + 1, 36*k + 4*c + 4 = 45*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -92, -193, -310, -449, -616, -817?\n\"Answer: -y**3 - 2*y**2 - 88*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -5, 3771, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 391, 784, 1177?\n\"Answer: 393*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 81050.\nAnswer: 486300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 45839*l = 45829*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44*b**2 + 10*b**2 + 11*b**2 + 8*b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -108, -4, -5, -360, 2 in decreasing order.\nAnswer: 5, 2, -4, -5, -108, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 i, 1 d, and 1 x when four letters picked without replacement from {x: 5, y: 5, o: 4, d: 4, i: 1}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 186718516 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11267627.67999994 + -11267628. Let m = 14 - 14.32. Let p = w - m. What is p rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3865*x + 2574 = 3436*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1914867 plus -0.15?\nAnswer: -1914867.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 - 7. Let t be y(5). Let l be (24\/(-15))\/(4\/80). Is l at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 3*d + d - 8*d + 0*d + 24. Let c(n) = -n + 5. Let y(u) = -u + 10. Let l be y(9). Let z be 0 - (-2)\/l - 5. Determine z*o(s) + 14*c(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*v - v + 86*v - 182. Put 151, -2, v in decreasing order.\nAnswer: 151, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h - 6. Let c = -21 - -13. Let a be n(c). Suppose -a*z + 5*t - 12 = -2, -3*z = 2*t - 4. Which is bigger: 2\/3 or z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r + 10*n - 7108 + 7418, -2*n = -3*r - 202 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/51)\/(b**(1\/11)*b))\/((b**21*b*b*b)\/(b\/b**(-19))) assuming b is positive.\nAnswer: b**(-2834\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41*f - 12*f + 37*f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 49042 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -247 - -249. What is the closest to -2\/9 in t, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -48146 - -48268.014. Let i = z + -122. Put 0, 0.4, i, 2\/7 in descending order.\nAnswer: 0.4, 2\/7, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -842*u**2 - 10947*u - 232. Determine l(-13).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 67 + -36. Let g be o + ((-2)\/6 - (-3)\/9). Solve -2*d - 7 = 3, -g = -4*r + 3*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b = -b - 161. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w*(w*(w**(2\/63)*w)\/w)\/w*w*w**(-23)\/w*(w**(-1\/4))**(-36) assuming w is positive.\nAnswer: w**(-754\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 154*p**2 - 14*p. Let j(d) = 31*d**2 - 3*d. Let b(m) = 3*g(m) - 14*j(m). Let v(y) be the second derivative of y**4\/12 + 30*y. What is b(v(q))?\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 + 5. Let x be h(0). Suppose 93 = w - 2*d, 5*d + 190 = -3*w + x*w. Let v be (35 + -1)\/(6\/3). What is the greatest common divisor of w and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 181607?\nAnswer: 181607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -28258678 divided by -2\nAnswer: 14129339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5264*k - 1015 + 339 + 338 + 335 to the form o + v*k and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/h**(1\/7))\/h**(-6))\/(h**1*h)**(-36))**(-45) assuming h is positive.\nAnswer: h**(-24840\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 356*(7 - (-27)\/(-4)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(847) - (sqrt(847) - (sqrt(847) + 2 - sqrt(847)))) + 1 + (1*sqrt(5040))\/(sqrt(960)\/sqrt(12)))*-4)**2.\nAnswer: -288*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of t**5\/60 - t**4\/4 - t**3\/2 - 42*t**2 - 4*t. What is f(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 4:36 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 5*j = -43, -r - 4*r + 3*j + 100 = 0. Solve -4*a + r = -3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-2) - 21\/(-6). Let f(z) = -6*z**2 - z + 3. Let n(v) = -7*v**2 - 2*v + 4. Let o be (-14 + -17 + 30)*9\/3. Determine o*n(d) + q*f(d).\nAnswer: -3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -14, -4, 4 in ascending order.\nAnswer: -14, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 202 a factor of 68959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 431\/5, -1\/10, 12.\nAnswer: -1\/10, 12, 431\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 345*f + 180*f - 46*f + (4 + 0 - 2)*(-5*f + 5*f + 2*f) - 3*f + 4*f + f in the form m*f + k and give m.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 185503478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2692597 is divided by 365?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 153379 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of 0 + q**3 + 0*q - 1\/6*q**4 + 2*q**2. Let l(f) = f - 2. Let a = 1 - 3. What is a*u(w) - 7*l(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 5*z - 250 = 0, -4*z = -6*z + 4. Let n be (-32)\/6*(-39)\/b. Solve -k = -5*k - 3*g + 28, -n*g = k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1709*t + 36 = 1713*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve t**5 + 139*t**2 + 161*t**2 - t**4 - 179*t**3 + 41*t**4 + t**5 - 59*t**3 = 0.\nAnswer: -25, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1831690 to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 10*f. Let c(h) = -2*h + 52. Let r be c(28). Let t be (-1 + r)*2\/(4 + -6). Let j(v) = -1784*v + 0*v**2 + t*v**2 + 1784*v. Calculate j(m(d)).\nAnswer: 500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 45 = 2*q + 49, 3*q + 5*m = -16. Let y = 436 + -4792\/11. Determine j so that 0*j + 2\/11*j**q + 0 - y*j**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 129108 or -16.2?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qryxxxssqss. Give prob of picking 1 y and 1 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -7*g + 1. Let s(v) = -29*v + 4. Let u(f) = -18*j(f) + 4*s(f). What is the derivative of u(p) wrt p?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 2 r when four letters picked without replacement from {r: 4, b: 4, m: 8}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13 and 6227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10723475?\nAnswer: 5, 7, 29, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 178 - 22 + 156 + 3*d - 45 + 2 as m + o*d and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 9*x**3 + 12*x**2 - 220*x + 2144. Calculate the remainder when k(10) is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9254202?\nAnswer: 2, 3, 43, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 - 11. Let o be (z\/6)\/((-2)\/6). Which is greater: o or 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*p - 16*p = -56 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is x in -x**5\/2 + 33*x**4\/2 - 241*x**3\/2 - 453*x**2\/2 + 751*x - 420 = 0?\nAnswer: -3, 1, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -2*n + 45, -4*n + 5*x + 65 = -0*n. Let j(l) = 50*l**3 - l**2 - l. Let i be j(-1). What is the smallest common multiple of n and (40\/i)\/(2\/(-20))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = -7*s + 60. Let z(r) = -21*r**3 + 9*r**2 - 9*r. Let f(k) = -5*k**3 + 2*k**2 - 2*k. Determine s*z(c) - 18*f(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -77, -9 in decreasing order.\nAnswer: -5, -9, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 35*h - 6. Let a(v) = v - 1. Calculate -15*a(w) + 3*o(w).\nAnswer: 90*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 71336295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 94, 641, 1928, 4261, 7946, 13289?\nAnswer: 20596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -12. Let u = 0.42 - 4.52. Let j = u - w. Which is bigger: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hsl when three letters picked without replacement from {l: 1, s: 7, b: 3, h: 1, p: 1}?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -2*r**3 + 3*r. Let w be s(0). What is the common denominator of (-750)\/(-924) - (w - -1) and -83\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20825370 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4212*i + 1103*i + 363480 = 862*i + 2087*i for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 100210022110 (base 3) in base 13?\nAnswer: 6991b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22493426 is divided by 937219?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3672863 or -3672748?\nAnswer: -3672748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -167.7 - -168.1. Put -13, -1\/7, 0.1, -3, x in decreasing order.\nAnswer: x, 0.1, -1\/7, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 16 + 4. Solve 4 = 3*s - o*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-104114)\/(-21))\/((-1704)\/(-17892)).\nAnswer: 52057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3901288 is divided by 13641.\nAnswer: 13603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 5*h + 3 + 5*h**2 - 3*h**3 - 3*h + 4*h**3. Let m be o(-4). Let x(f) = -3*f - 8 + 3*f + f - 1. Determine x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 + 8. Let w be (2 + y)\/(2\/(-4)). Suppose -w*a - 285 = -7*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -100 - 20?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 32 = -3*i. Suppose 6 = 5*q - 14, 0 = -4*t + i*q - 412. Let a = t - -104. Solve -j - 16 - 14 = -5*l, a*j + 20 = -l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j. Let m(c) = -c**2 + c. Let r = 3 - 1. Let q(y) = y + 2. Let p be q(-4). Let i be 1\/(-2)*p - r. What is i*m(g) - 3*b(g)?\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*q + 52*q - 864 = 97*q. Solve 0 = 6*h - q + 12 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8946*-0.4.\nAnswer: 3578.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -74, 1 in decreasing order.\nAnswer: 1, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = 5*k + 400. Let o = k - -124. Let c = o + -32. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 2*u + 2. Let h be r(4). Let o = h + -8. Suppose 14 = 2*t - 2*q, o*t + 2*t - 24 = 3*q. Solve -t*x + 12 = -0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1.1066 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 30 (b) 1436 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 68, 269, 590, 1019, 1544, 2153, 2834, 3575?\nAnswer: 4364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 7, a: 5, d: 1, f: 2, e: 3}. Give prob of sequence llf.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 87137873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 113 is divided by 4\/10 - (1059\/(-15) + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 976535 and 270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 + 2*x**2 + 1. Let u be h(2). Suppose 5*c - 5 = -0. Let f be (0\/(-2 + 0))\/c. Is f less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000020531619 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12 + 14. Suppose 0*w + t*f + 179 = 3*w, -3*w - 3*f = -204. Calculate the remainder when w is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 2*b**3 + 3*b**2 + 4*b + 1. Let c be f(3). Let q be (-8)\/36 + c\/18. Suppose q*t - 2*t = 15. Solve t*o - 2*o = -12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -175853, -352547, -529241, -705935?\n\"Answer: -176694*q + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 j when three letters picked without replacement from {y: 1, j: 2, c: 1, w: 1, x: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 58*x = 2*p + 66*x + 20, -4*x = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l - 5. Let h be b(17). Let v(n) = -7*n**3 - 1063*n + h*n**2 - 17*n**2 + 5 + 1058*n. Let r(m) = m**3 + m**2 - 1. What is -5*r(q) - v(q)?\nAnswer: 2*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (323*q - 119*q + 54*q)*(q + q - 4*q).\nAnswer: -516*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000002012384 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 38\/795 and 273\/(-260) - (-4 + 2 - -4).\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkaokadkxkakd. What is prob of picking 1 k, 1 d, and 1 x?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.03593646, 10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 548860 (base 10) in base 4?\nAnswer: 2011333330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of 19*t**5\/60 - 9*t**3\/2 - 30*t**2. What is the derivative of f(d) wrt d?\nAnswer: 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(3\/7)*n*n)**14*(n\/(n*((n*n*n**(2\/7)\/n*n)\/n)\/n*n)*n)**(-27) assuming n is positive.\nAnswer: n**(390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -30 + 15 - 215*f + 15 + 43*f to p + j*f and give j.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18770555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {k: 1, c: 7, i: 1, v: 4, x: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 245653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-2*11))\/((-177)\/177).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2055605824 to the power of 1\/2, to the nearest integer?\nAnswer: 45339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 2*c**2. Let g(f) be the third derivative of -f**5\/60 - 9*f**2. Determine h(g(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -64308*p*t + 43580*p wrt t.\nAnswer: -64308*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 25, -0.4, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 82600*i + 2*t = 82602*i - 30, 0 = -5*i + 80*t for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 7 = -5. Suppose -244 = -2*i - 3*i + l*b, i = b + 50. Suppose -h = -2*h + i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 3 and -8.6059719184.\nAnswer: -5.6059719184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2133 (base 4) to base 11.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -26*d - 17. Let t(i) = 9*i + 6. Let r(p) = -17*t(p) - 6*w(p). Let c(b) be the third derivative of -b**5\/60 - 7*b**2. Calculate r(c(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5605152*g**2 - g**3 + 33*g**3 + 5605194*g**2.\nAnswer: 32*g**3 + 42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -1\/21, -1\/7, -1.\nAnswer: -1, -0.4, -1\/7, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 15439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1929751\/36 - 53608. Find the common denominator of -2\/21 and w.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*b + 3*b - 22*b in the form v*b + j and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1089277 or 1089275?\nAnswer: 1089275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -354.4 - -7214029.4\nAnswer: 7213675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 33*n**3 - 762*n**2 + 26*n + 480. Give o(23).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 3 - -28)*5680\/17608.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 356461\/168180 + -8\/2803. Calculate the common denominator of q and -143\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5810839 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k + 2*k - k**2 + (-2*k - 2 + 2)*(k - 3 + 3) + (0*k**2 + 0*k**2 - k**2)*(4 - 5 + 2))*(0 + 1 + 4).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 3*k**2 + 2*k + 1. Let g be i(-1). Let j be (17\/(-2))\/(g\/(-4)). Let x = j + -6. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence niii when four letters picked without replacement from {y: 3, i: 4, n: 9}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/i**26))**9*(i\/i**(-4\/19))\/(i\/(i**32*i)) assuming i is positive.\nAnswer: i**(5077\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 222026211 - -4889.\nAnswer: 222031100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/1985280 and -95\/95128?\nAnswer: 45661440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 67270 divided by -2?\nAnswer: -33635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*d + 26 = 28*d - 5*s, -2*d + 3 = -s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4 + 1)\/3 + 4487 + 2. Suppose 11490 + l = 5*z - k, -2*z - k = -6387. Suppose -5*p - 2*j = 3*j - z, 2*p + 4*j - 1274 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12690 and 3780?\nAnswer: 177660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggggygqggyggggqqgyg. Give prob of picking 1 q and 1 g.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 72166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 94*s**2 - 302*s**2 + 108*s**2 + 101*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 252586 - 253048 = -21*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + 20, -95 = -b - 4*b + r. Suppose 5*f + 4*o - 792 = 0, 4*o + 8 = 3*f - 480. Suppose 4*q - f = b. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 f when four letters picked without replacement from {o: 2, y: 2, f: 8, v: 4}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -136*j + 1356. Let i be o(9). Calculate the greatest common factor of i and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 8 (c) 5 (d) -6 (e) -8 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.06 and -324?\nAnswer: 19.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 17223a (base 11) to base 4\nAnswer: 1001003311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1\/5 + 8\/15. Let i = -3\/193 + 419\/2123. Let l = -22.9 - -23. What is the third biggest value in l, i, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 3*k - 19, 2*l - 3*k = -6*k + 11. What is the tens digit of l\/6 + (-1640)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 7 - 8, 2*l + 3*g + 11 = 0. Suppose x - 2*x + 5 = 0. Let v be (-1)\/5 - (-26)\/x. Solve -3*d - v = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, 0.015, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 0*k - 62 = 2*k, -3*k + 48 = 4*m - 2*m + 75 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -40 + 40.17. What is n rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 10:37 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:56 PM and 2:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 18*y + 10 + 17*y)*(6*y**2 + 16*y**2 - 13*y**2).\nAnswer: -9*y**3 + 99*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2420 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - ((-40 - -51) + -10 + 3 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000357532492 to seven decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4608680015?\nAnswer: 5, 43, 4027, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 5*t**3 - 4*t**2 - 37*t + 16. List the prime factors of r(11).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 - 7. Let j(r) = 593*r + 5491. Let v be j(-9). Suppose x*n - 12 = 0, -751 = -2*z - 5*n + v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwuwwqwmqwmwquqw. What is prob of sequence umu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 - 20*n**2 + 23*n + 36. Let f be s(-21). List the prime factors of f\/(-2) - (-707 - 3) - 4.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 67*c**3 + 196*c**2 - 16*c + 3. What is p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -4297d (base 14) to base 15.\nAnswer: -32aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + g = 3*g - 17, 2*g = 2*q - 4. Suppose -q*a = 5*r - 25, -2*r - 3 + 1 = 0. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*y - 16, -12*y = -2*b - 14*y + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence em when two letters picked without replacement from {c: 7, m: 2, k: 5, e: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 10 + 19)*(30 + 29 + j - 8)*(-1 - 2 + 2).\nAnswer: -22*j - 1122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 127*d**3*q**2 + 101*d*q**2 - 4*d*q wrt d.\nAnswer: 762*d*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let u(h) = 691*h + 2768. Let x be u(-4). Solve x*q - 10 = -6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1446895523?\nAnswer: 23, 62908501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1059 + -3179\/3. Sort 0, o, 5, -1\/52 in descending order.\nAnswer: 5, 0, -1\/52, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, 2, -176\/7, -1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.11569+0.06\nAnswer: 0.17569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 38532937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -1.6557937 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -25, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 3*x - 16 - 18, 2*o + 14 = -2*x. Let f(k) = 14*k + 0 - 15*k - 2. Let l be f(o). Solve -h + 2*b + l + 2 = 0, 2*h = 2*b + 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -o*q*x - 62*o*q - 11*o*x + 102*o + 501*q*x - 2*x + 3 wrt x?\nAnswer: -o*q - 11*o + 501*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o + 4*o + 2*o)*(2*o**3 - 2*o**3 + 2*o**4) + 6*o**4 + 7*o**5 - 6*o**4 + 43*o**3 - 43*o**3 + 30*o**5.\nAnswer: 41*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -43\/779823 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*s + a + 6, 5*a + 19 = s. Suppose -5*t - 9 = -2*f + 4, 0 = -s*f - 2*t + 14. Calculate the lowest common multiple of f and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iii when three letters picked without replacement from fififffiifffi?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2519 - 2508. Solve 101 - 35 = u*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 399427220*x**2 + 566423307*x.\nAnswer: 798854440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 4*f**2 + 2*f**3 + 0*f**2 + 14*f - 3*f**2 - 2*f**2 as k + v*f + r*f**2 + j*f**3 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 105682, 105680, 105674, 105664, 105650, 105632, 105610?\n\"Answer: -2*n**2 + 4*n + 105680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1918612484.\nAnswer: 2, 479653121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v + 6, -4*v + 3 = -2*w + 1. What is the closest to 1 in -4, w, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 239 - 40. Calculate the remainder when j is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1551121 (base 6) in base 15?\nAnswer: 1c521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0079312521 rounded to four dps?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j**2 - 41 + 53 + 2015*j - 12 + 1423*j.\nAnswer: -j**2 + 3438*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.045 (b) 4 (c) 6 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134778 is divided by 82.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -3 (c) 2\/11 (d) -2 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5 less than -204.805?\nAnswer: -209.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30287, -30166, -30045, -29924, -29803, -29682?\nAnswer: -29561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -145 or -1159\/8?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l = 72*l - 3308 - 26095. Does 372 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.4, 245, 2, 0.1, 24, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8320545 is divided by 3370?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 156*b + 1 - 26 + 18 + 7.\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c - 1. Let s be l(9). Is 7 a factor of (-6)\/s*(-50)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 + 4 - 4 + 3 - 3 + 2 + (-7 + 3 + 3)*(-4 + 0 + 3))*(-57 + 57 - 3*r) to q + m*r and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 4*v**2 + 7. Let s be (1953\/(-6))\/7*-10. Let d(n) = -n**2 - s*n + 465*n. Calculate d(p(k)).\nAnswer: -16*k**4 - 56*k**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 261 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*p**3 + 2*p**3 + 10*p - 7*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 707, 604, 489, 362?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*d = -n + 164, 5*n + 17 = 2*d + 63 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 31 and 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29 - -291\/10. Let g = -2 - -1. What is the third biggest value in 0.5, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 128*h**2 - 13*h + 34*h**2 + 85*h**2. Let t(u) = -41*u**2 + 2*u. What is -2*c(y) - 13*t(y)?\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3849, 3883, 3917, 3951, 3985, 4019?\n\"Answer: 34*q + 3815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47 + 16*j + 47.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 PM and 11:27 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p*p\/p**(-8\/3)))\/p)**(9\/11)*(p\/p**38)\/p**32 assuming p is positive.\nAnswer: p**(-801\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-10)\/(1*(-3 + 2)). Let q = -6 + g. Suppose q*o = 3*b + 16, -2*o + 3*o = -3*b + 4. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-1*((-3*(-3 + sqrt(52) + sqrt(13)) + sqrt(78)\/sqrt(150) + (-2 + sqrt(13))*2)*3)**2.\nAnswer: -3672*sqrt(13) + 845262\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 169335495 and 157815?\nAnswer: 169335495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 - 3*l**2 - 2*l + 4. Let x be j(3). Which is greater: x or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.005481380195 to six decimal places.\nAnswer: 0.005481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*y**3 + 4 - 4 - 766*y - 31*y**3.\nAnswer: 15*y**3 - 766*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4967773 is divided by 3890.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9\/7*q**2 - q - 5\/7*q**3 - 2\/7 - 1\/7*q**4 = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1060474*m**4 - m**2 - 3084238 wrt m.\nAnswer: 4241896*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - (13 - (2 - 3 - -4)) - -10) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -2*v + 45. Let g = v + -4. Suppose 231 = g*x + 46. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -108 - 4*h + 106 + 8*h**4 - 6*h**4 + h - 2*h**3 + 3*h**2 to the form f*h + k*h**4 + q*h**3 + v*h**2 + j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -27*o**3 + 6*o**3 - o**2 + 5*o**3 + 5*o**3 - 2*o**2 in the form z*o**2 + k*o**3 + v + j*o and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1318 = 114*p + 437 - 829 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -191, -383, -575, -767, -959, -1151?\n\"Answer: -192*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/6*(1770 + 8). Let c = n + 11549\/13. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 16*-16\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 11, 53, 131, 251, 419?\n\"Answer: f**3 + 12*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**2 + u**4 + u**2)*(2*u + 4*u - 3*u) + (-2*u + 5*u + u)*(u**2 - u**2 - u**3)*(-4*u - 1 + 1).\nAnswer: 19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 16*k - 13 + 7 + 5. Let t(b) = -b**2 + 15*b - 3. Let z(c) = 2*l(c) - 3*t(c). Is z(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -124*t + 262. Let i be c(2). Solve 5*f - 5*l - 25 = 0, -5*f = i*l - 18*l - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 3*l, 0 = 2*y + 4*l - 3*l - 4. Let s(u) = 5*u + 2. Let d be s(0). Factor -1\/5*x**4 + 1\/5*x**y - 1\/5*x + 0 + 1\/5*x**d.\nAnswer: -x*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 - 3*r**5 + (r + r**3 - r)*(-1 + 1 + r**2) + (-7*r**2 + 2*r**2 + 0*r**2)*(-6*r**3 + r**3 + 3*r**3).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-20)\/130 + 6\/26. Which is the nearest to 1? (a) -5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3383200.\nAnswer: 2, 5, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 7, c: 6}. What is prob of picking 1 c and 2 a?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-4\/3)*r**(1\/7)*(r*r**(-1)\/r*r*r*r*r)**(1\/2)*(r**(1\/2))**(-6)\/((r\/(r**2\/r))\/(r\/(r**(-1\/2)*r))) assuming r is positive.\nAnswer: r**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*u + 6*u - u)*(-u + 3 - 3) + 2*u**2 - u**2 - 4*u**2)*(2 - 1 + 2)*(39*u - 84*u + 44*u).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**3 + 2*d**2. Let r be t(-2). Let b = 1 - r. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 + 17. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -19, 39, -4, 1\/2, 2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/71 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + h + 192 = 0. Let x(f) = 11*f - 12. Let r(k) = k - 5. Let j be r(9). Let g be x(j). Calculate the greatest common divisor of h and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/20 in 1, 11, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 23 + -24. Let n(l) = 2*l**2 - 2*l - 1. Calculate the remainder when 3 is divided by n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(352) - (2*-3*sqrt(352) - sqrt(352)))\/(-6*2*(4*sqrt(11) - sqrt(11))).\nAnswer: -8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 13, 58, 133, 238, 373, 538?\n\"Answer: 15*n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2\/75 (b) 16\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose x**3\/6 - 5*x**2\/2 = 0. Calculate x.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -1069*j**3 - 345*j**2 - 8. Let q(t) = -1069*t**3 - 346*t**2 - 6. Let o(m) = 4*q(m) - 3*y(m). What is the third derivative of o(x) wrt x?\nAnswer: -6414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 2*c**2 + 12*c + 10. Let x(l) = l**2 + 6*l + 4. Calculate -2*o(k) + 5*x(k).\nAnswer: k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4 - -8)*-2 + -3. Suppose -x = i + 24, 30 = -5*i + 3*x - 98. Let v = i - j. Solve 3 = -5*q - v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -4*r**4 + 4*r**3 + 176*r**2 - 336*r = 0.\nAnswer: -7, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h**3 + 4*h**2 - 5*h**2 - 7*h**2.\nAnswer: 3*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, o: 1, m: 2, a: 3, q: 1, n: 3}. Give prob of picking 2 a and 1 n.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 29 - 23. Is (3789 - -1)\/(c\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/(-16))\/((-90)\/(-120))*0. Suppose -z - 3*c + 15 = o, 7*c - 3*c - 20 = -z. Solve 18 = 4*k + 2*w, 2*k - 3*w + 4 - 1 = z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 7 = x + 3*x, 0 = -2*q - x - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -31, -5, 382, 2, -1.\nAnswer: -31, -5, -1, 2, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of -z + 0 - 1\/3*z**3 + 1\/3*z**4 + 0*z**2. Let j(u) = u**2 - u. Let x(c) = 2*j(c) - l(c). Let p(d) = d. Give x(p(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 7:35 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m**3\/2 - 239781*m**2\/2 + 9586317*m\/2 + 9826101\/2 = 0 for m.\nAnswer: -1, 41, 79887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - -9. Suppose 0 = 7*k - 6*k - 126. Calculate the greatest common divisor of k and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 63 - 123\/2. Suppose 5 = -r + 2. Which is the second biggest value? (a) r (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 2*n - 4*r = 401, -4*n - 5*r = -288. Which is greater: n or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7220092 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-10 + 9 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 381 + -175. Let g = 1850\/9 - j. Let i = 2142 - 21501\/10. Find the common denominator of g and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.96 + 1.46. Which is the third biggest value? (a) 6 (b) 3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 5*g**2 + 21*g - 40. Let x(w) = 4*w**2 + 16*w - 36. Let o(a) = 2*h(a) - 3*x(a). Determine o(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 669188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7670362 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - -6 - 3 - -100) + (9 + 2 - 18)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 88083 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 165 minutes before 7:24 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - u + 25 = 0, -4*z - u - 6 = -39. Solve -b + 3*b = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000041336 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 917 and -0.0865.\nAnswer: -79.3205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put together 2.1 and -4561029.3.\nAnswer: -4561027.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 2658336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -2*m - 169. Let a be p(-10). Let o = a + 1788. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 7, s: 2, z: 3}. Give prob of sequence gzgs.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15317 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*v**3 + 24 - v**3 + 12*v**4 + v**4 - 11*v**4 + v to the form n*v + h*v**2 + d*v**3 + p + f*v**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -130.2 * -907.2\nAnswer: 118117.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 1. Let s(i) = -7 - 1 + 6 - 35*i + 6. Let f(l) = -5*r(l) + s(l). Does 18 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 9+-0.63325\nAnswer: 8.36675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -165 + 165. Let j(m) be the third derivative of m**4\/24 + 2*m**3\/3 + 2*m**2. Let o be j(w). Solve 2*k = -o, 0 = -2*y + 2*k - 4*k + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + 89?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000186068747 to six decimal places.\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-40 - 3 - 2)*(-3 + 5 + 0)*(-n - n - n) to the form p*n + s and give p.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -868 = -3*s - 4*s. Let g be (s + -1)*(1 + 3\/(-9)). Suppose -126 + g = -2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 - 5\/((-20)\/104). Let b = h - -31. Let c = -35 + b. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.89341494 rounded to 4 dps?\nAnswer: 0.8934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -957, -906, -865, -840, -837, -862?\n\"Answer: -l**3 + l**2 + 55*l - 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.020414529395 rounded to five dps?\nAnswer: 0.02041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of y**5\/30 + y**4\/12 - 59*y**3\/18 - 5*y**2 + 150*y + 647. What is c in b(c) = 0?\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, m: 3, o: 1, w: 2}. Give prob of sequence wo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4.1*-0.4\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 3*o = -35, 8 = -2*u + 4*o - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -39239*q - 78811. Calculate f(-2).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -4*s**5 + 8*s**4 - 8*s**2 + 4*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15 - -16. Suppose 3*o + o - 8 = 0. Solve -j = m, 5*c + o*m = -m - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5066 = -33*a + 16*a. Suppose -17*l + a + 161 = 0. What is the highest common factor of 207 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j**3*j)\/j)*(j\/(j**4*j*j))\/j*j*j**(-5)*(j\/j**7*j)\/j)\/((j**(1\/6)*(j*j**6)\/j)\/(j**(2\/5)\/(j\/((j\/j**(-4))\/j)))) assuming j is positive.\nAnswer: j**(-623\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4 and 146808692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -486 = -h - 126. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 76663751 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of -15*b**8\/112 + 7*b**5\/20 - b**2 + 57*b. What is the third derivative of o(t) wrt t?\nAnswer: -2700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -315846*d**3 + 315852*d**3 - 4*d**2 + 2*d**2 + 2*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1397 and 1270.\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -f + 4. Suppose q - 12 = -f*q. Factor 0*w**2 - 4 + 2*w**4 - q*w**2 + 4 + 2*w**3.\nAnswer: 2*w**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -12555361 - -4?\nAnswer: -12555355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1\/(-2))\/(1*(-1)\/78). Calculate the greatest common divisor of 312 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.0551 + 130.5551. What is c rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 373649098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2908.2 + 2908. Put -1, 1, -465, z in decreasing order.\nAnswer: 1, z, -1, -465","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 50*r**3 + 11*r**2 - 10*r. Let q be a(10). Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 143*l - 13 + 29 - 16.\nAnswer: 143*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -226*r = -130*r - 854880. Calculate the highest common factor of r and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2643781*h**3 + 30*h**2 - 8*h + 756525 wrt h?\nAnswer: -15862686*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -203 - -219. Let v(a) = -19 + 3 + k + a. Let l(r) be the second derivative of -5*r**4\/6 + r. Calculate v(l(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 4 = 0, 0*t + 10 - 58 = -12*t + 3*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 229*z - 4. Let g be i(6). Suppose -11*w + 12*w - g = 0. Round w to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**3 + 5*s**2 + 3*s + 2. Calculate a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p**3 + 9*p**2 + 71*p - 149. Determine m(6).\nAnswer: 1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 70 - 65. Solve 0*j - w = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes after 2:02 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2278799\/386 + 11807\/2. Which is the second smallest value? (a) 3 (b) -1\/10 (c) 3\/2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 765, 757, 735, 693, 625, 525, 387?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -4*n**4 - 27904*n**3 - 48692456*n**2 - 97189664*n + 145910028 = 0.\nAnswer: -3487, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 - x**2 - 4*x. Let b be g(0). Solve b*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3\/2, 2, 2\/7, 3, -44655090?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 12 = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4023 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 89 and 184.\nAnswer: 16376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2746826 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of -y**3\/3 + 5*y**2 - 3*y - 1. Let c be l(7). Solve -2 = -4*n + c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 26.907 and 1927?\nAnswer: 51849.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 16) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (87\/(-290))\/((-12)\/(-40)*6). Which is the nearest to 23? (a) m (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17\/384 - 3\/128. Let d(m) be the third derivative of 1\/24*m**3 - 2*m**2 + 0*m + 1\/240*m**5 - w*m**4 + 0. Let d(c) = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -3, -7\/3, -4\/7, -0.3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -7*n + 1 - n**2 + 0*n**2 + n + 6. Let y be a(-7). Differentiate -3*w**3 + 1 + y*w**3 + 3*w**3 + 3*w**3 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 145*x**3*z**6 - 2*x**3*z**3 - 20*x**3*z**2 - 8*x**3*z wrt z.\nAnswer: 17400*x**3*z**3 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 16 + (-2 - -1 - 10) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.408 - -695.592. Let b = l + -696.999589. Round b to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkkukk.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1325*r + 916*r + 921*r to b*r + l and give b.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-18 - -21 - -19) + -21 + 19\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 242804327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -5*c - 0*w + 1042, -3*c - 4*w = -628. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:17 PM and 6:12 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, 110, 231, 354, 479?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the first derivative of -3*m**3 - m**2 - m + 1. Let l be y(-2). Are -33 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 158.16 + -162.36. Is -124 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1316244.\nAnswer: 2, 3, 19, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 8.38571 rounded to 2 dps?\nAnswer: 8.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -7327225 (base 9) in base 16?\nAnswer: -3bbf7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -103, 5, -3, -4 in ascending order.\nAnswer: -103, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 108 = 266*o - 254*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 + 58*n**2 - 165*n - 2. Let c be d(55). Let m = -5 + 6. Sort 2, c, m in descending order.\nAnswer: 2, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (80\/(-24))\/(-1*95\/133)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 - 87 = 11*u. Let m(z) = 2*z. Let c(n) = -n. Let i(k) = -5*c(k) - 2*m(k). Let b(y) = -y**2 - 2*y + 3. Determine u*b(a) - 4*i(a).\nAnswer: a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5a0 - -9b6?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (-5 + (-192)\/(-42))*-1351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -18*o**2. Let k(w) = -4*w - 3*w + 3*w. Give k(p(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be -6*(4\/(-6) - 2). Let l(p) = p**3 + 12*p**2 + 25*p - 2. Let q be l(-3). Solve 0*z - q*z - b = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 594 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*c - 6658 = -300*c + 7424 + 4430 for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -12*r - 9. Let o be i(-11). Suppose -9*m = -6*m - o. What is the remainder when 162 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o - 31. Let m = -597 - -556. Let v be t(m). Calculate the greatest common divisor of v and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -1.23 and -129217667.\nAnswer: -129217668.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(100\/(-20)*1\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**33\/(a*a**(5\/9)*a)*a**(-12)\/a**34)**(-17) assuming a is positive.\nAnswer: a**(2380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*h = -234 - 65. Suppose 968 = h*g - 21*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b**2 - 39. Let z be d(0). Let n = 37 - z. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*y + 3*b + 8 = 0, 2*b + 2 = y. Suppose -2*m + 15 = 3*m - 2*k, -9 = -4*m + k. Is m greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 48*m**2 + 2*m - 12. Let x be t(2). Suppose -x*b + 177*b + 1722 = 0. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2482016 to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 13575 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 3*z**2 - 19*z - 12. Let f be y(7). Let k be 15*1\/(-6)*-2. Solve -f*p - 20 = 3*l + 5, -5*l + 4*p = k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 435 a factor of 124304295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -6 less than -0.089315448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 2 + 13201*j + 13837*j.\nAnswer: 27038*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -50\/9 + 20\/9*i - 2\/9*i**2 = 0. What is i?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14489 in -10, -5, -9, -5\/4, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**3\/9 + 354284*b**2\/9 + 708574*b\/9 + 118096\/3 = 0 for b.\nAnswer: -1, 177144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 - 3*b**4 - 6 + (-7*b + 3*b + 2*b)*(-3*b**3 - 13*b**3 - 22*b**3) to the form h*b**3 + l*b**4 + d*b + o*b**2 + r and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 5*a + 90 = 0, 4*x = 9*x + 3*a + 100. Let f = 22 + x. List the prime factors of f + -1 - (-83 - -19).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2384479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144*s - 154*s = -90. Is (2\/6)\/(s\/1269) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -13*r**3 + 4*r**2 + 2*r - 2. Let m be f(-3). Let c = m + -42. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4253 - -8053. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q + 19. Let v be w(0). Let l be -3 - (4\/(-4) - v). Let t = l + 3. What is the remainder when 37 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the first derivative of -2*d**5\/5 - 3*d**4 - 8*d**3\/3 + 6*d**2 + 10*d + 787. Factor c(j).\nAnswer: -2*(j - 1)*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 4*k + w = 3, -5*w + 27 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 2*m**4 - 492*m - 782*m**2 + 478*m - 4*m**3 + 779*m**2 in the form w + a*m**3 + x*m**4 + c*m**2 + o*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m**2 - 3*m**2 - 2*m**2)*(-64*m**2 - 48*m**2 + 27*m**2) + 3*m**4 - 4*m**4 + 3*m**4 + (-1 + 1 + 2*m**2)*(m**2 + 0*m**2 + m**2) + m**2 - m**4 - m**2.\nAnswer: 175*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*t = 28*t - 28633. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 + 5. Let n = 52 + -43. Solve 8 = -2*q - 5*w - 10, -3*w - n = t*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - j = -2 - 1, 0 = 4*l + 3*j - 9. Solve 1\/2*d + 1\/2*d**3 - d**2 + l = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3666 (b) -3 (c) 0 (d) -10 (e) -2\/13 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of -7*f**4\/4 - f**3\/3 + 135*f - 261. What is the first derivative of a(i) wrt i?\nAnswer: -21*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1187 - -4081. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2203758703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 197269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m*m**0*m))**(-3\/2)*m**5*m**(-2\/11)*(m*m**1)**(-1\/25)\/(m**(-8)\/(m*(m\/(((m*m\/(m\/(m\/m**(1\/2))))\/m)\/m))\/m*m*m)) assuming m is positive.\nAnswer: m**(4878\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -43, -3, -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 9, w: 3}. What is prob of sequence www?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 571 and 45383651.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = -2*j - 5. Let n = j - -35. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v**3 + v**3 + 4*v**3)*(3*v - 2*v + 2*v + (-3 + 3 - v)*(-5 - 1 + 4) - 3*v + v - 2*v).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in 1\/8, 1, 10\/11, 11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (8 - 4)*(-18)\/8. Let i(v) = -v**2 - 9*v + 2. Let t be i(k). Solve 0 = -t*a - 5*d + 2 - 0, 0 = 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40810205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 47045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 7*r**2 - 4*r. Let m(z) = -14*z**2 - 1. Let g be m(-1). Let n(k) = 27*k**2 - 15*k. Let w(b) = g*u(b) + 4*n(b). Let d(h) = 2*h. Determine d(w(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.4, -3, 82, 3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t + 1 - 1)*(-t**2 + 0*t**2 - t**2) + (t**2 + t**2 - t**2)*(3*t + 39 - 39).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of 5*n**3\/6 + n**2\/2 - 3*n. Let g(t) be the first derivative of -t**2\/2 + 18. Let q be g(-3). What is x(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k + 0*k - 4*k - 6*k + 7*k. Let z(y) = -6*y - 27. Give n(z(r)).\nAnswer: 12*r + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 31168 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/306703 or 0?\nAnswer: 4\/306703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 35978 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -880388.58 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1207.394 rounded to 0 dps?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + 2*f + 58*f**3 - f**2 - 920*f**4 - 3 - 54*f**3 + 663*f**4 to u*f**4 + z*f + r*f**3 + j*f**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 3*v + 20 = 0. Let x be 3\/(-3)*(4 - 4). What is the closest to x in 1, v, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000010796 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-24)\/4*(-2)\/(-3). Let k = -2 + n. Let p = 12 - k. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes before 7:04 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**3 - 18*l**2 + l + 23. Let c be s(-18). Suppose -4*p + 45 + 5 = -2*r, 67 = c*p - 4*r. Suppose -13 + p = -a. Is a != 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22 + 24. Suppose z*h + 3*h - 5 = -5*x, 0 = -3*h + 2*x - 2. Sort -3, h, -1 in increasing order.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 + -15. Let c be (-1)\/w + (-10)\/3. Let l be ((-1)\/(-3))\/(c\/(-27)). What is the highest common factor of 12 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14710 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 + 5*g + 307. What is v(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = 35 - 0. Let b = i + 11. Solve -b*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(220)*-1 + sqrt(220))\/sqrt(4) + sqrt(55))\/(sqrt(11) + sqrt(77)\/sqrt(63)) + 4)**2.\nAnswer: 6*sqrt(5) + 301\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 77 and 2189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -538, -1, -49, -2, 1, -32 in increasing order.\nAnswer: -538, -49, -32, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -2*s. Suppose z + 4*n + 0*n - 19 = s, -3*n + 2 = -z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 362686373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the second derivative of -v**5\/2 - 18*v**2 - 4*v - 12. Find the first derivative of u(n) wrt n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 22*u + 20*u - 1 - 37*u. Let o(g) = -3*g + 1. Give 5*d(p) + 8*o(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-4)*m*m*m*m*m**5*m*m*m*m)\/(m**2*m)**(-25\/4) assuming m is positive.\nAnswer: m**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 143348, 143318, 143228, 143048, 142748, 142298?\n\"Answer: -5*s**3 + 5*s + 143348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -4*r**2 + 2*r - 3. Determine f(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100 - -201122?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/2)\/(x\/(x\/x**(2\/13)))*x**(-3\/7)*x**(-2\/25))\/((x**2*x*x*(x**(3\/2)*x)\/x*x*x)\/(x**(-2\/13)\/((x\/x**(3\/4))\/x))) assuming x is positive.\nAnswer: x**(-64303\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 5 = 2*x, 0 = -h + 2*x - 8 + 7. Solve -h = 2*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 46*g - 90. Let x(s) = -8*s + 15. Calculate -6*n(j) - 34*x(j).\nAnswer: -4*j + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*g = 45*g + 57 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -8 divided by 53?\nAnswer: -8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1783 - 1856. Is -74 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110 - (-93 + 185 - 30)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.0493 times -89\nAnswer: 4.3877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 - i + 11. Let s(v) = 26*v + 78. Let c be s(-3). Give j(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 times 22.2\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (100\/(-6))\/(2\/39). Let f = -37 - v. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 2*j + 6, -m - 2*j - 1 = -3. Let n be 2 + (m - 3) + 10. Let x(v) = v**2 - 7*v + 8. What is the tens digit of x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 46 - 78. Let s = -31.84 - j. Let k = -3.16 + s. What is the closest to -1 in -1\/4, 1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/94164 and -39\/2596.\nAnswer: 1035804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -3*x + 2014. Let o(y) = -4*y - 7*y - 21*y - 4*y + 37*y. Calculate b(o(w)).\nAnswer: -3*w + 2014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5924782, -5924781, -5924778, -5924773, -5924766?\n\"Answer: w**2 - 2*w - 5924781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 198177 divided by 66059?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -13*d**3 + 3*d. Let u(j) = -38*j**3 + 8*j. What is -8*k(i) + 3*u(i)?\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve r = -2*m + 18, -2*r + 43*m - 38*m = 27 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 2\/9, -0.073, 0.5, -0.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 37429833*v**5 + 17272515*v wrt v.\nAnswer: 748596660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-6)*-6 - 3\/(-1). Solve b*k + 2*k + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4397 + -4400. Let b be 1\/(-1 + (1 - -1)). Sort 4, x, b in decreasing order.\nAnswer: 4, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l - 192 - 494 = 0. What is the remainder when l is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7749756kg in tonnes?\nAnswer: 0.0007749756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 13*i**2 + 14*i + 6. Let m(c) = c**2 - c. Let l(y) = -13*y**2 - y - 3. Let w(r) = l(r) + 6*m(r). Let z(n) = 6*p(n) + 11*w(n). Determine z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes before 8:16 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 3506*u - 143163. Calculate b(41).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15 - -19. Let p = -42 + 27. Let u = d - p. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4723905.\nAnswer: 3, 5, 314927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = d. Suppose d = -2*c - 3 + 7. Is -6*c\/(-3) + 3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 12*x + 51. Let y be m(-4). Suppose -2*j + 6*j + 2*z - 60 = 0, 4*j = y*z + 80. Sort 2, j, -2.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 468672477 rounded to the nearest 1000000?\nAnswer: 469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*r + 45*r + 38*r + 48*r - 168*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7214345 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1001101101 (base 2) in base 9?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -56*v + 6771 - 6771 in the form p + d*v and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -37669 (base 13) in base 14?\nAnswer: -29335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26 - 5. Is -36 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30128 is divided by 29938?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8927*p + 8905*p + 110 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(4\/7))**(-25)*(y*y**11)**(-29) assuming y is positive.\nAnswer: y**(-2511\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 3 + 0 = 0. Let x(f) = -f**2 + f. Let h(t) = 5*t**2 - 4*t. Let p(o) = v*h(o) + 4*x(o). Let a(b) = -3*b. Calculate a(p(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 8 = -4. Suppose 87*n - 58520 = -53*n. Calculate the remainder when n is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 plus -29493.55?\nAnswer: -29491.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32061446 is divided by 119?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10251 and 119034.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 378a + 8a?\nAnswer: 3847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -401144*u + 348121*u + 1603157*u.\nAnswer: 1550134*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + -431?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 + 11 - (-46)\/(-9))\/((-94)\/1974)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -v**4 - 55*v**3 + 70*v**2 + 760*v - 1344 = 0. Calculate v.\nAnswer: -56, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the first derivative of 1 + 1\/15*g**5 + 5\/2*g**2 + 2\/3*g**3 + 1\/3*g**4 + 0*g. Let a(y) be the second derivative of m(y). Factor a(p).\nAnswer: 4*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the third derivative of q**5\/60 + 7*q**2. Let c(y) = 10*y. Determine i(c(x)).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1365 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (3*y + y - 2*y)*(-159*y - 84*y**2 + 159*y) + (y + 3*y - 3*y)*(0 + 0 + 2*y**2) + y**3 + 2*y**3 - 4*y**3 as w*y + p*y**2 + x*y**3 + b and give x.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ic when two letters picked without replacement from xcimyxyxii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w**2 + 1. Let z be j(1). Let f = 0 + 2. Sort -4, z, f in decreasing order.\nAnswer: z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4\/(-4))\/(-1) + -3. Suppose -4*s - 6 = 2. Do i and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1015*j + 1117 - 2776 - 3416 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 0*r + 4037 = 4461. Put -5, 6, r, -2 in increasing order.\nAnswer: r, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 + 100011010010100110010?\nAnswer: 100011010010100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 64451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uuwbwbbbwbawwzwwzwu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0*i - i**2 + i - 2*i)*(-88092*i + 4015509 - 4015509) to the form l*i**3 + k + s*i**2 + d*i and give d.\nAnswer: -88092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-159*z**3 - 206*z**3 + 327*z**3)*(2 - 2 - z) - 2*z**4 + 0*z**4 + z**4 as p*z + a*z**2 + d + j*z**4 + b*z**3 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -155, -160, -165, -170, -175, -180?\n\"Answer: -5*o - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - -4) + (-17 - (-45 + -3)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 96 = -w, 4*w - g = 197 + 119. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1008)*-1 + sqrt(1008))\/sqrt(9) + (sqrt(14)\/sqrt(2) + -3 - (-1*sqrt(70))\/sqrt(10)).\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 11\/4 of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 157447 = 89*f - 85*f - 142869. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -57 - -95. Let a = 0 + 0. Calculate the remainder when t is divided by 19 + -1 + (a - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + g - 146 = -0*g, -2*g + 217 = 3*u. Let w be u\/(-10)*(-4)\/(-6). Let d = -69 + 71. Which is the closest to d? (a) 3 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 - 5*l**2 + 5*l - 2. Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4760246, -4760261, -4760276, -4760291, -4760306, -4760321?\nAnswer: -4760336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 + 10*y + 160. What are the prime factors of x(15)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386976 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (-16209)\/15*(-25)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + 52125?\nAnswer: 52131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be 63 - ((1 - -1) + -2). Let h be (-6 + 196\/35)*85. Let v = n + h. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -86 take away 13.8?\nAnswer: -99.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 2*x - 28, -2*o - x + 21 = -0*o. Suppose -q + o = q. Solve 11 = -q*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -9362*r**3 - 2 - 11*r**2 + 1 + 9361*r**3 as v*r**3 + g + j*r + c*r**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/y**(-4)*y*y*y*y\/(y\/((y*y**(-3))\/y*y))*y**0*y*y*y**(1\/5) assuming y is positive.\nAnswer: y**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 - 4. Let y(h) = 1373994 - 1373994 - 84*h. Let i(m) = 7*m. Calculate k*y(u) - 35*i(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f + 6 - 212. Suppose -f - 349 = -2*g. Suppose g + 174 = 5*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**4)\/g*g\/(g\/g**(-14))*g*g**(-16)*g*g\/g**18)**(5\/8) assuming g is positive.\nAnswer: g**(-245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16*a**5 + 635153*a**4 - 7891*a - 635155*a**4 - 5*a**3 + 1050*a wrt a?\nAnswer: -320*a**3 - 24*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 466 - -349. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 3*z**2. Let v = 908 - 908. Let h(b) be the first derivative of -5\/2*b**2 + 1 + v*b. Calculate h(r(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(((v*v**(-1))\/v)\/v))\/v*v*v**(-3\/7))**(-1\/48) assuming v is positive.\nAnswer: v**(-3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - 10*d**2 + 5. Suppose i + 48 = 4*i. Suppose 4*t + 24 = -i. Let o be k(t). Solve 5*q - n - 22 = 0, -4*q = -n + o - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 38*l**2*p*q**3 + 2*l**2*p*q - 128*l**2*p - l**2 wrt q.\nAnswer: 114*l**2*p*q**2 + 2*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*20\/(-72)*(1368\/1520)\/((-6)\/(-14)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 6*v. Let l be j(1). Suppose l*y - y = 15. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10 at least -266\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2726 and 149698?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1.7354, -0.1, -1\/5, -1, 0.3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 5*l - 11. Let x(t) = -15*t + 36. Let j(f) = 7*c(f) + 2*x(f). Let d(s) = s - 1. Determine 11*d(h) - 2*j(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 4, w: 2, y: 1, r: 1, x: 3}. What is prob of picking 1 y and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36106 is divided by 372.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-25)\/5 + 128\/20)*(-770)\/(-96481)?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2089462 - 2089451.999857. Let k = 10 - l. What is k rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 + 8*a**2 - 20*a - 1. Let k be f(3). Let m be 40\/k*3\/(900\/16). Sort 2, m, 0.3, -5 in increasing order.\nAnswer: -5, m, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 1:25 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -220 - -275. Calculate the greatest common divisor of f and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/2, 5\/6, 4, 0.3, -0.3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**9)**18\/(v**(1\/10))**(-21) assuming v is positive.\nAnswer: v**(1641\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2650 - -2790. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1748092879 to the power of 1\/2, to the nearest integer?\nAnswer: 41810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4339.0045 + 4337. Let a = -2 - t. Round a to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 1)*(2 - 2 - 3*k**5) + (-3*k**4 + 5*k**4 + 0*k**4)*(2*k - k + 0*k) + 0*k**5 + 0*k**5 + k**5 - 2*k**5 + 5*k**5 - 2*k**5.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from avpwk. What is prob of sequence vwp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/8, -0.5, 12\/127, 3, -5, -4 in increasing order.\nAnswer: -5, -4, -0.5, -3\/8, 12\/127, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 412\/(-1854)*(-45)\/12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-14 + -2 - -1) + (16 - (9 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z - 6. Let d be u(9). Let f = d + 20. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5 and 1 + -1 + 2 + (1 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16906*p**2 + 34862*p**2 + 2*p + 38541*p**2.\nAnswer: 90309*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 487411 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -1, -115, -9, 0, 1 in decreasing order.\nAnswer: 14, 1, 0, -1, -9, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 54366 + -2075. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 1133*x**2 - 870*x. Let b(c) = -4*c**2. Calculate w(b(q)).\nAnswer: 18128*q**4 + 3480*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 33 and 387.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 19 = -25. What is the hundreds digit of 315 + -29 - 2*b\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*r - 2*k + 6, 2 - 11 = -3*k. Let v be (27\/6)\/9*r. Solve 0*i - 2*n = 2*i, v = 4*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -2*w + 16, 0 = -4*u - u + w + 20. Factor 1\/3*r - 1\/3*r**3 + 0 + 1\/3*r**2 - 1\/3*r**u.\nAnswer: -r*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 - 255*x + 351*x - 66*x.\nAnswer: 2*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4, -1, -1\/2.\nAnswer: -2, -1, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3 (b) -2\/11 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 26545.6nm to kilometers.\nAnswer: 0.0000000265456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6568520 and 44.\nAnswer: 72253720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/48321 and -193\/2351622.\nAnswer: 7054866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 3 * 1.22\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 10 = -0*j + 4*j, 4*r = -3*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*b**3*j**3 - 31*b**3*j**2 + 13*b**2*j**4 - 6*b*j**3 + 2*b*j**2 - 2 wrt j?\nAnswer: -36*b**3 + 312*b**2*j - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.46? (a) 0.438 (b) 722 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00191475 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - -3)\/(4\/(-16)*-1). Suppose 12*l - 92 - n = 0. Calculate the least common multiple of l and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1321 - 878 + 1095 - 1417)*(2*f + 1 - 1)*(3 + 3 + 7)*(2 + 1 + 0) to the form g + p*f and give p.\nAnswer: -196638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 - 13*b + 79. Give k(-24).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 10222011111202?\nAnswer: 10222011111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*v + 7*v + 7*v**2 + (-v - v + 0*v)*(2 - 2*v - 2) - v + v - v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 236 is divided by 10 - ((-108)\/26 + 34\/221).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 58 - (-12)\/4*-3. Suppose -h*c + 306 = -47*c. Calculate the greatest common divisor of 68 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 168 + -133. Suppose 0 = f - h - 7 - 20, 3*h + k = f. Let d = 4 + -2. Solve -2*v + 5*w + 7 = f, -d*v - 3*w = -16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 + 9*p + 17. Give u(-11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 468*n - 9. Let j(g) = -2*g + 4. Calculate -4*j(b) - t(b).\nAnswer: -460*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the square root of 174764688 to the nearest integer?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 12:26 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 4*w**2 + 21*w - 20. Let n(a) = -2*a**2 + 5*a + 4. Let d be n(3). Let f be c(d). Suppose 3*v = v + 90. What is the highest common factor of f and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.054194, 0, 1.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 3*d**2 + d - 11. What is the units digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 102347 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/8 - (-38295)\/(-36). Let y = o - -11689\/11. Calculate the common denominator of y and -9 + 16 + (-45)\/54.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/s**(1\/21)*s*s)\/(s*s*((s*s**(-8)*s)\/s)\/s))**(2\/19) assuming s is positive.\nAnswer: s**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -31*o**3 + 6*o**2 + 6*o. Let p be l(-1). Let h be p\/62*(-4)\/(-1 + 0). Solve 0 = -2*v - 2*d + 8, 0 = 2*v - 7*d + h*d - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of -11*o**3\/6 + o**2\/2 - 54*o + 2. Let v(n) = n**2 + 2*n - 1. Let q be v(-2). Calculate f(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -29.9 and -36.\nAnswer: 1076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 3*f + 26, 4*f - 5*f = -2. Suppose s - 6*s = -175. Suppose -s*r + 39*r = d. Solve 2*h = -5*i - 6 - r, 4*h - 16 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wrrmrauwaparap. Give prob of sequence aam.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the third derivative of -t**7\/210 - t**6\/48 - t**5\/40 + t**4\/48 + t**3\/12 - 17*t**2. Factor l(o).\nAnswer: -(o + 1)**3*(2*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14973772 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1 <= 95\/149724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of n**6\/240 + n**5\/60 - n**4\/12 + 3*n**2. Let v(c) be the second derivative of d(c). Differentiate v(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 - 2. What is the smallest common multiple of j and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.04, 9\/49, 5, 0, -4, -2\/3 in descending order.\nAnswer: 5, 9\/49, 0, -0.04, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of -7*z**3\/3 - 11*z**2\/2 - 3*z - 148. Let l(x) = 4*x**2 + 6*x + 2. Determine -11*l(h) - 6*m(h).\nAnswer: -2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4448028 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w**2 + 3*w**2 + 2*w**2 + (1 + 1 + 1)*(65*w**2 + 264 - 264).\nAnswer: 197*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -6*f**2 - 4*f. Give t(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t**2 + 17*t + 11. What is k(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((0 - 1)*-3)\/(15\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2 - (-3 + 0\/1). Suppose 5*g = d, 5*g - g = 3*i - 479. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, a: 1, i: 1, d: 1, n: 1}. What is prob of sequence ina?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 348268915 to the power of 1\/3, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the first derivative of -3*q**5\/5 - q**2 + 8. What is the second derivative of v(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 41989 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 10*s = 2*u + 12, -u - 4*s - 16 = 0. Let h be -3 + 0 + 27 + -1. Solve -d + 5*c - 11 = 0, d - 3*d - 5*c + h = u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/84 and -55\/3613686?\nAnswer: 50591604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-694)\/14 - (1350\/(-750))\/((-21)\/5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 381361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -3*a + 2*l + 7, 3*a + l = -12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from zbhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -93596 divided by 4\nAnswer: -23399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -3*(46167\/(-6) + (-3)\/6).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27.106 + -0.306. Let j = p - 17. Let m = j - 10. Which is the nearest to 0? (a) 0.1 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-629)\/(-17) + -30 + 3*25. Solve 30 = -t*x + 87*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4341 by -586.\nAnswer: 4341\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2488368 is divided by 88.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**3 - 75*x**2 + 62*x + 1097. Give d(74).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 7*b - 30. Let q = b + 16. Suppose 2*y + x = 5*y - 13, -2*y + 2 = -2*x. What is the lowest common multiple of q and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of 8 + 90*m - 42*m**2 - 89*m + 2. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l + 47. Let x(i) = -60*i. What is x(v(j))?\nAnswer: 60*j - 2820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 - 16*d + 2. Suppose 2*f + r + 48 = 0, -4*f + 4*r - 88 - 20 = 0. Let v = f + 41. Let s be l(v). Solve 0 = 2*o + s + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 112*i - 5310. Determine h(50).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 8977.008 seconds to milliseconds.\nAnswer: 8977008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 12 - 10124106?\nAnswer: -10124064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 571046 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 129374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11068\/(-592) - 6 - 116\/2146)*2\/(-9).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.354647 millilitres?\nAnswer: 0.000354647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -5*j + 16, -2*s + 0*s - 20 = -3*j. Let y = 8 + s. Suppose -r = -y + 1. Sort -3, r, 0 in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 w when three letters picked without replacement from naooaowoj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-215)\/65 - (-2 - 1). Let s = y - 6\/65. Let t = -4.5 + 4. What is the closest to 1 in s, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -59 * 0.2\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10689 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 483*x - 27 = 510*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -2257.\nAnswer: -3\/2257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 138 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add -704519 and -0.1406.\nAnswer: -704519.1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkeek. Give prob of picking 4 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-215)\/(-15) - 4\/(-6). Let x = o + -5. Calculate the remainder when 38 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -279 - -302?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(1584) - (3 + 1 + sqrt(1584)))*-4*1*-2*2*3)**2 + -2.\nAnswer: 921598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4496775.\nAnswer: 3, 5, 59957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-1\/25))\/(y**(-17)*y) assuming y is positive.\nAnswer: y**(426\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 11*f = 781. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1780 divided by -4\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**3 + 16*k**2 - 40*k + 21. What is the smallest common multiple of 10 and b(-18)?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide (42*(-5)\/40*4)\/((-9)\/4377)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -27600 + 49644. Is 162 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 133 + -133.69. Let c = -2.69 - w. Let v = 6 + -6.3. What is the closest to -2 in v, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 720081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -133 (b) 4\/3 (c) 2080649\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -79*o = -107*o + 153356. List the prime factors of o.\nAnswer: 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9517828 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -m - 0*z + 5*z, 0 = 4*m + 4*z - 44. Let w(u) = -4*u. Let y(l) = -8*l. Determine m*y(g) - 15*w(g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -21753750 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*m**2 - 2*m**2 + m**2)*(-5 + 3 + 0).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 - -1 - (-70 - -75). Let n(b) = -1 + 6 + b + 2*b. Let v(x) = x + 2. Calculate o*n(a) + 7*v(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 - 14*j**2 - j + 29. Let w be a(14). Suppose -g + w = n, g - 2*n + n = 5. Solve -3*i = -i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 12220 (base 5) to base 4.\nAnswer: 32213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 17*m. Suppose n - 11 = 2*n. Let i(g) = -6*g + 2. Suppose -80*h - 190 = 15*h. Let j(x) = 31*x - 11. Let p(c) = h*j(c) + n*i(c). Determine p(t(f)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 5*u**3 + 2*u**2 - 2*u + 1. Let t be 41\/4 - (-2)\/(-8). Let i = t - 9. What is the lowest common multiple of v(i) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 119222266 to the nearest 10000.\nAnswer: 119220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 173 - 173.5. Which is the third smallest value? (a) -3 (b) 0.4 (c) z (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*(-1*(sqrt(1872) + -1) + sqrt(1872) - sqrt(1872)*-2*4))**2.\nAnswer: 4800*sqrt(13) + 2995225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 378903241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 21*p + 89. Let b be s(-4). Let o(l) = 3*l + 15. Let j(h) = 2*h + 16. Let x(q) = b*j(q) - 4*o(q). What is x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 2*v = -0*q - 12, -4*q = -4*v - 24. Let n = 47 - 15. Let m = -22 + n. What is the smallest common multiple of m and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 216\/(-288)*936\/(-216).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 93950004 to the nearest integer?\nAnswer: 9693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cij when three letters picked without replacement from ipnjncpjpnp?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 8:34 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -927482*g**3 - 801665.\nAnswer: -2782446*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 2*m**2 - m - 12. Let x be b(-7). Let j = 130 - x. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 9*n**2 + 4*n. Let m(y) = 38*y**2 + 39*y - 39*y**2 - 20*y - 19*y. Calculate l(m(t)).\nAnswer: 9*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * -0.6793507\nAnswer: 0.27174028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -4*a + 82 - 27, -a + 4*s = -28. Let g = 0 + 6. Calculate the remainder when g\/6 - 23*-2 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -580357.434 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*i**4 - 18*i**3 - 514244*i - 172833797 wrt i.\nAnswer: -8*i**3 - 54*i**2 - 514244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 103, 100, 97, 94, 91, 88?\n\"Answer: -3*m + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69586 is divided by 1026?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/(187\/(-17))*(-2)\/54*4875\/(-125)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 8*c**5 - 94*c**4\/3 + 113*c**3\/3 - 38*c**2\/3 - 11*c\/3 + 2 = 0.\nAnswer: -1\/3, 1\/2, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 338*w = 157*w + 225*w - 616 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - 164027?\nAnswer: -164031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*d**2 + 2*d**2 + d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -415.6 + 415.1. Which is the nearest to 1? (a) -6 (b) n (c) 0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 164171107?\nAnswer: 3613, 45439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes after 5:57 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4253057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qde when three letters picked without replacement from dedlqfd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 8*z + 32. Let p(t) = 19*t + 48. Determine 5*p(k) - 7*s(k).\nAnswer: 39*k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)\/(sqrt(16)\/sqrt(8)) - sqrt(144)\/sqrt(12)) + -4.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of -x**6\/30 - 2*x**5\/5 + 14*x**2 - 47*x. Differentiate c(a) wrt a.\nAnswer: -4*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**2 + 4*m**2 - 2*m**2)*(-29277*m**2 - 17440*m**2 + 340*m + 336*m + 337*m - 1013*m).\nAnswer: -46717*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-5)\/(-2))\/((-9)\/(-18)). Let d be 2*(4 - h)*1. Is -1*(-82)\/2 - d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {j: 2, f: 5, k: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - 2*d**2 - d. Let x be k(-2). Find the third derivative of 341*i**x - 365*i**2 + i**6 + 3*i**6 wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.4 and 0.01.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 306*p - 162*p - 4032 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 7 + 40*w - w**2 - 1 + 2 - 31*w. What is k(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the second derivative of 2*o**7\/21 + 41*o**5\/20 - 43*o**3\/2 - 274*o. What is the second derivative of v(f) wrt f?\nAnswer: 80*f**3 + 246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g + 19. Let y(z) = -z**2 - 7*z - 2. Let h be y(-5). Let k be d(h). Suppose -k*f - 10 - 44 = 0. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41\/2 + 20. Let q = -141\/110 + 11\/10. What is the nearest to t in q, 1\/3, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-111437)\/(-2371) + (-30 - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -7*b**2 + 3*b + 7. Let y(k) = -5*k**2 + 4*k + 7. Let d(h) = 2*u(h) - 3*y(h). What is s in d(s) = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**2)**14*f**7\/f**(-1\/7))**(7\/3) assuming f is positive.\nAnswer: f**(344\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 407899.\nAnswer: 407899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 255 divide 1876545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -5*f**3 - 7*f + 4*f**3 + 4*f**2 + 4*f**2. Let s be b(7). Solve 4*l - 5*l - 3 = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*t = 21*t - 34*t - 192 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 3*t + 5 = 0, -3*t - 39 + 4 = -4*l. Let i be (8 - (-18)\/(-3)) + (-2 - -25). Solve -2*m + l*v + i = -3*m, 10 = -2*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 178.8948ns in seconds?\nAnswer: 0.0000001788948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, o: 1, p: 6, i: 1}. Give prob of picking 3 p.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 11*y**2 + 3*y + 4. Let k(p) = -23*p**2 - 5*p - 7. Let v(o) = -3*k(o) - 5*n(o). Is 14 a factor of v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u**3\/3 - 226057*u**2\/3 - 678178*u\/3 - 452120\/3 = 0. Calculate u.\nAnswer: -2, -1, 226060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 1220*p - 2432. What is the lowest common multiple of 3106 and a(2)?\nAnswer: 12424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -23*v - 84. What is j(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.83735 rounded to two dps?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -174826818 divided by -3?\nAnswer: 58275606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (f + 3*f - 3*f)*(2*f + 0 + 0) + 33 - 33 + 35*f**2 - 55*f**2 + 271*f**2 + 32*f**2 to the form a*f + s + p*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 195057 + -70124. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*r**4 + 83445*r**3 + 1336080*r**2 + 5345600*r.\nAnswer: -5*r*(r - 16705)*(r + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19330.5 + 0.039006729.\nAnswer: 19330.539006729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 1\/8*z**3 + 1\/8*z**2 + 0*z + 0 = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 74*j**2 - 38*j**2 - 1 - 36*j**2 - 59*j - j**4 - 2*j**3 to the form b*j**3 + z*j**4 + g*j**2 + i*j + k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be (16\/20 - -1)*(-2 + -3). Let t = g + 81. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 86655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72932*h - h**3 + 72932*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s - 3*z - 7 = 0, -5*s + 5*z = -7 - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -36480689 by -5211527.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v + 33. Give f(23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - 10436aa?\nAnswer: -10436a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4532*x**3 - 2 - 10*x**2 - 2*x**5 - x**5 + 13607*x**3 - 4533*x**3 + 5*x**6 + 24*x - 4535*x**3 wrt x?\nAnswer: 600*x**3 - 180*x**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -129 - -135. Solve 3*g + p = -9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/112 and 21\/320?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.2 - 0.6. Let h = p + 2. Let z = 0.3 - h. Which is bigger: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1799137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -3, -61, -368391?\nAnswer: -368391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 - 6*u**2 + 6*u + 6. Let f be o(5). Let y be (10 - 3) + -16 + f. Suppose 15 = 4*k - 5*s, 5 = 2*k - 0*k - 5*s. Sort 1, y, k in descending order.\nAnswer: k, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1408)\/(-110) - (-8)\/(-10). Let r be (-5)\/15*p\/26. Which is the nearest to 0? (a) -0.1 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 201 = 3*s - 203, -15 = -5*s - 5*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 3\/10, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 6*y**2 - 9*y - 8. Let d be s(7). Is (4 - (3 + 0))*d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from edodeddoddoo. What is prob of picking 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-1136)\/(-1704) - (-280)\/12\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -54, -56, -68, -96, -146, -224, -336, -488?\n\"Answer: -q**3 + q**2 + 2*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000042442817 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1771)\/(-44)*496\/434?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7809905 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -4 + (83 - 18 - (13 - (-26 + 44))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - -3 - -4 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 357954937.\nAnswer: 67, 1117, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 15043 * -0.2.\nAnswer: -3008.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 - 6*y. Let g be m(-5). Let v(w) = -w - 2 + 3*w + 6 - 3*w. Let s be v(4). Solve 0*t + t = -h - 3, s = -3*t + g*h + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*y + 7*y - y**2)*(2 + 0 + 0).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f**2 - 322*f - 2276. Determine n(114).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:18 PM and 7:58 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1228.85 - -1199. Let y = -32 + 2. Let s = y - d. Round s to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g = -8*g + 3*g - 96 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -13843 by 4.\nAnswer: -13843\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-72)\/(-18))\/(6\/18 + 1). Solve 0 = -2*p - 3*y - 4, -i*p - 6 = 16*y - 20*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 + 22*c + 38. Give f(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*u + 4*u + 191*u - 43*u - 62*u.\nAnswer: 130*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 3, 0.5, -9\/7, 0, -2, -55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1190998129 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/1790? (a) 5 (b) 6 (c) -1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n + 6. Let d be s(3). Suppose -o = 2*o - 3. Let v = 1 - o. Solve d*f = 5*a + 1, v*a + 4*f = a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4 + (-2)\/((-2)\/(-1)). Suppose -a - p*k + 44 = 0, 5*k = -2*a - 0*a + 84. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1134356.38 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1906 is divided by 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 109310852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*q = 26*q - 54. What is the smallest common multiple of q and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/5, -4, -4\/3, -2, -1.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o - 5. Let g be q(5). Let i = 11.3 + -11. Let t be (4\/(-6))\/((-4)\/(-12)). Which is the nearest to g? (a) i (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1294974.\nAnswer: 2, 3, 23981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 139635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4773164 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 1\/5 (c) -2\/9 (d) 1\/19 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**4*v)\/v**(2\/13))**(4\/3)*(v*v\/v**(-2))\/v*v*v*(v*v*(v**5*v)\/v)\/v*v**(-22) assuming v is positive.\nAnswer: v**(-59\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 853*t**3 - 3*t**2 + 3*t**2 - 1295*t**3 - 1017*t**3.\nAnswer: -1459*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 3*d**3 - 3*d**2 + 10*d - 3. List the prime factors of c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 - ((-20)\/(-4))\/(-5). Let c be -4 - (-10)\/(-1 + a). Suppose -d + c = -15. Solve 5*j + d = -q, -q - 8 = -3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -67 - 6?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*u - 3*u + u)*(10*u**3 + 4*u**2 - 3*u**3 - 8*u**3) to the form x + t*u**2 + v*u**4 + m*u**3 + a*u and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 100111100011110011 (base 2) to base 12\nAnswer: 7992b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*c**4)\/c*c**0)**36)**(-39))**(-32) assuming c is positive.\nAnswer: c**179712","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.1 (c) 46 (d) -2\/5 (e) 4 (f) -0.0236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2465, 4937, 7413, 9893?\nAnswer: 12377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-22)\/(-10) - 2)\/((-89428)\/3396 - -13*2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1847 + 1847.5. Sort q, 5, -0.0673 in descending order.\nAnswer: 5, q, -0.0673","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 122288093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1279, 459, 2197, 3935, 5673?\n\"Answer: 1738*r - 3017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5.1 + 5.1. Is -7\/4 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/2520*-12)\/(1\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -13*u**2. Let g(r) = -r + 7. Let t(m) = m - 6. Suppose 32*c = 31*c - 7. Let v(p) = c*t(p) - 6*g(p). Give v(j(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -0.19422, -3, -2.\nAnswer: -3, -2, -0.19422, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -5*w**3 + 3*w**2 - 1. Let s(c) = -11*c**3 + 6*c**2 - c - 3. Let l(j) = -13*k(j) + 6*s(j). Calculate the remainder when l(-4) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15407 + 15407.14. Which is the fourth smallest value? (a) o (b) 1\/3 (c) -21 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 - j - 1. Let k(x) = -x**2 - 3*x - 2. Let o be k(-4). Let a(c) = c**2. Let b(r) = 6*r**2 - 6*r - 5. Let p(u) = 2*a(u) - b(u). Give o*f(s) - p(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/21998 and -73\/748?\nAnswer: 483956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35579802568 - 61219254682. Let q = y + 25639452279.00000113. Let u = q + -165. Round u to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4b (base 12) to base 2.\nAnswer: 111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(2\/6) + 1. Suppose -v*t + 16 + 36 = 4*k, t = 4*k - 32. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*v**3 - 4 - 2*v**2 + 2*v**4 + v**3 + 1 - v + 2*v**4 + 5 to the form o*v**4 + x + y*v**2 + z*v**3 + w*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 + 32 + 0 + 1. Suppose -5*r - 81 = -4*n, r - p = -n - 6. Is 13 a factor of n\/2 + 2 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 - -13. Suppose -3*r - s = 4 + 5, 0 = 4*r - s + d. Is 662*((-2)\/r - 0\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 309*r. Let n(s) be the second derivative of 13*s**3\/6 - 77*s - 11. What is n(z(i))?\nAnswer: 4017*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 + -3. Suppose 279 = 3*f + 28*f. Solve y*k - f = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 262606364 a multiple of 1836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together -33205 and 0.5.\nAnswer: -33204.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -21*g - 2963. Calculate f(-142).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 160 - -3?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2 - 2*x + 1. Let g(f) be the first derivative of -76*f**3\/3 - 10*f**2 - 58*f - 84. Let u(n) = -g(n) + 10*m(n). Differentiate u(y) wrt y.\nAnswer: 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*t - 91 = -39. Let d(k) = 19*k**3 - 43*k**3 - 22*k**3 + 1 - k**2. Determine d(t).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*(u*u\/u**(-2))\/u)\/u)**(4\/5)*u*u**17*u*u*u*u\/(u**(-21)*u*u*u))**(5\/2) assuming u is positive.\nAnswer: u**106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is k in -2*k**3\/3 + 46*k**2\/3 + 52*k\/3 - 32 = 0?\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 46*x + 17*x**2 - 21*x**2 + 4 - 1 - 2*x**4 - 358*x**3 + 359*x**3 + 6*x**2 to k + f*x + q*x**2 + p*x**3 + n*x**4 and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 5*y**3 + 25*y**2 - 34*y + 145. Is d(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6618\/5 - -1326. Which is the biggest value? (a) z (b) 5 (c) -1 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(-6) - 50\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 32\/5 (b) 1\/7 (c) -445 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*h + 25*h - 3*h - 15*h**4 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from {a: 6, b: 7, v: 1, i: 4}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 771294491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1\/2)*i*i*i)**(-1\/7))**(-39)*(i\/i**1)\/((i\/(i*i**(5\/2)))\/i)*i\/i**(2\/3)*i*i*i**(-5\/2)*i assuming i is positive.\nAnswer: i**(767\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -14*u**2 + 13*u - 3. Let c be r(-12). Let y = c - 653. Is y\/6*(-6)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 0 (b) -4 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**2 + m**2 + 3*m**4)*(-157 - m - 83 + 4*m + 85).\nAnswer: 9*m**5 - 465*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (1\/3)\/(11\/99).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 465970723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -2*sqrt(3) + 3 + (sqrt(27)*1)**2 + ((sqrt(3) - (sqrt(36)\/sqrt(3))\/sqrt(4))*5*2)**2.\nAnswer: -2*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39395664?\nAnswer: 2, 3, 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 153887529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 - n**2 - 7*n - 5. Give g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -26 + 28. Suppose 8 = g*a, o - 291 - 125 = -5*a. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 29. Let b(o) = -72. Let x(h) = -2*b(h) - 5*n(h). Let l(m) = 11*m + 2. Give -l(g) - 3*x(g).\nAnswer: -11*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add -0.05 and -74632.2.\nAnswer: -74632.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5241, 10477, 15713, 20949?\n\"Answer: 5236*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 23*n**3 + 26*n**2 - 20*n. Let q(t) = -8*t**3 - 9*t**2 + 7*t. Calculate 6*g(u) + 17*q(u).\nAnswer: 2*u**3 + 3*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 - 9*p**4 - 11 + 22)*(3 - 3 + 3).\nAnswer: -27*p**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence azu when three letters picked without replacement from zuzzzzuzazazuzzzzz?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(153) - (1 + sqrt(153)))*3 - sqrt(153)) + sqrt(153))*1 + 6*(sqrt(153) + 1 + 4) + 4)**2.\nAnswer: 1116*sqrt(17) + 6469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68 is divided by 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/6*(5 - 11). Solve r = -0*s + 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -59, -2, -0.094, 0.2, 0?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 450*y + 3466 = 9448 + 7068 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 10*l - 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 0*j + 16 = 0. Suppose 0 = j*v - 0*v. Let b = 3 - v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-3)\/s*s*s**5)**(-1\/10) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*z - 80 = -120*z. Suppose z*q + 64 = 104. Let v(h) = -3*h**3 - h**2 - 2*h - 2. Calculate the remainder when v(-2) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 134692717.\nAnswer: -1\/134692717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - (sqrt(252) - (sqrt(252) + 1*sqrt(252) + sqrt(252))))**2 + sqrt(7) + sqrt(7) + -2 + 3)*-1 + 1.\nAnswer: -1183 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1216 is divided by (-1496)\/102*3\/(-4) - -197.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the third derivative of k**8\/3024 + k**7\/1890 - k**6\/1080 - k**5\/540 + 5*k**2. Factor g(r).\nAnswer: r**2*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.25 and -251.\nAnswer: -250.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/((f**(-7\/3)*f)\/f))\/f)\/f*f*f*f*f**16 assuming f is positive.\nAnswer: f**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 3*g. Let c(i) = 22*i - 7. Let j(s) = -15*s + 5. Let p(h) = 60*h - 20. Let f(q) = -15*j(q) - 4*p(q). Let z(l) = 5*c(l) + 7*f(l). Give 7*k(t) - 4*z(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - f + 6 = 0. Let t = 53 + -33. Suppose t + 4 = 4*p. Calculate the greatest common factor of f and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/180 and -4\/35.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 4 + -6 + -2 + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 + 8*t**2 - 4*t + 20. Calculate p(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 6*2*18\/(-54)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + -12. Let f = u - -30. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = -7*b - 10. Solve -2*n + 2*l = -b, -1 = 3*l + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o**2 + 610140*o + 31022568300 = 0. Calculate o.\nAnswer: -101690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t - 4. Let f be p(5). Let s be ((-18)\/8)\/(f\/432). Let k = 135 - 108. What is the highest common divisor of s and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.078183 + 0.0785. What is b rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*u + u - u + (-2 + 2 - 3)*(-8*u + 9*u + 6*u))*(5 + 0 - 3)*(-17 + 7 + 5) to the form q + s*u and give s.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange h - 2*h + 2*h - h - 4*h + 3*h + (-3 + 1 + 1)*(3*h + 2 - 2) + h + 4*h - 4*h to w*h + d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1865643390 a multiple of 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 2*z + 12. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 19*u**3 + 5*u**2 - 5*u + 1. Let m(y) = 18*y**3 - 20439*y + 20435*y - 6*y**2 + 8*y**2 + 1 + 2*y**2. Determine 5*m(i) - 4*r(i).\nAnswer: 14*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 2081 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 + 67 = 6*v. Solve 1913 + 40*g - g**3 - 1913 + 39*g**v = 0.\nAnswer: -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6082368.\nAnswer: 2, 3, 79, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 59.9452 and -3.\nAnswer: -179.8356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ayayjaat. Give prob of sequence yaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 16354 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 j, 1 g, and 1 q when four letters picked without replacement from jgjqkkfkfefgeggq.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8*2\/(5 + (-3 - 4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zbzzzbzzbzbzzwwo. What is prob of picking 2 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 94 = 5*r, -3*g - 5*r = -r + 98. Let o be g\/(-8) - 1\/(-4). Suppose 2*x = 5*x - m - 10, 0 = -4*x + o*m + 6. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -355 + 354.817. Let m = -66.317 + k. Let n = 67 + m. What is the third smallest value in 0.4, n, -0.09?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**3 - 14*o**2 - 50*o - 3. Give n(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/4, 5, 1, -15\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 182954.\nAnswer: 2, 17, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-1\/2))**21\/(n**1)**(-4\/3))\/(n**(2\/11)*n*n**7*(n**0)**(-39)) assuming n is positive.\nAnswer: n**(241\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 9885889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 2085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * -0.146.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 318.2408 micrograms to grams.\nAnswer: 0.0003182408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (20\/(-12))\/((-3)\/72). Solve -3*l + n = 5*i + 2*l, 4*i = 4*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + w = 9. Let g = 19\/18 + 4\/9. Which is the smallest value? (a) 0.2 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*m**2 - 2*m**2 + 2 - 4*m**2 - 20 + 12*m**2 in the form b + x*m + i*m**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 5*z. Let h be p(-2). Let d be 1\/(-2)*5\/h. What is the third biggest value in d, 0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the first derivative of d**3\/3 - 9*d**2\/2 - 25*d + 38. What is the tens digit of k(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*o + o. Suppose -o*y = -3*y - 6. Find the first derivative of 0*t + 2*t**3 + 1 + 0*t - y wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21917381627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97 = 5*f + 4*h + 43, 0 = 4*f - 5*h + 71. Calculate the common denominator of ((-28)\/(-5))\/4*(-190)\/f and 2\/((720\/(-57))\/(-5)) + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v + 2. Let m be l(1). Suppose m*n + 4 = 7*n. Suppose -3*j - n*c - c + 117 = 0, j = 4*c + 22. What is the remainder when 133 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 22*t**2 + 78*t + 2. What are the prime factors of o(-12)?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -104 + 22?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5099400 or -5099395?\nAnswer: -5099395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 116465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from iyiiiyy?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/29, -3, 1, 2, 1\/5 in decreasing order.\nAnswer: 2, 1, 1\/5, -1\/29, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/3, -1446, -1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -432 = -34*i - 296. Let z = -2 - -6. Solve z*d + 0 = -i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - g - 26. Determine j(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + 8\/(-2 - -4). Let l be (((-8)\/7)\/t)\/(-3). Let f be 2\/(-4) - (-7)\/(-2). Which is the second smallest value? (a) l (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m = -l + 2*l + 31, -169*m + 81 = -6*l - 164*m for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of -u**5\/20 - u**4\/3 + 2*u**3\/3 - 7*u**2\/2 + 3*u. Suppose x = -0*x - 1. Let t be x\/(4\/(-20))*-1. What is a(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -59*o + 6. Let z(i) = -58*i + 5. Calculate 5*l(s) - 6*z(s).\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 641903022 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.7 - 1.7. Let p = -212 + 211.5. Sort 2\/11, -3, h, p in decreasing order.\nAnswer: 2\/11, p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26 + 7 + 66\/126*33?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -39*x + 5. Let i be b(-5). Let l(d) = d**2 - 4*d - 9. Let m be l(6). Suppose 0 = t + m*t - i. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*u = 58478 - 57946 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 9*k - 1. Give i(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-4)*-4)\/((-27)\/(-3))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 0*b + 0*b)*(2*b**4 - 8*b**4 + b**4) - b**5 + 0*b**3 + 0*b**3 + (2*b - 5*b + 0*b)*(160*b**3 - 2*b**4 - 160*b**3).\nAnswer: 25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 207 and 139311?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -919?\nAnswer: -2\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*x**3 - 8*x**3 - 58*x**3.\nAnswer: -53*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t**3 - 41*t**2 + 156*t + 10. What is d(-24)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 332816 divided by 44?\nAnswer: 7564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 70 - 69.6. Suppose 2*d + 4*z = 10, 2*z = -2*z + 4. Which is the smallest value? (a) i (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 11 = 3. Suppose d + d - 6 = 0. Suppose 0 = c - 2*c + d. What is the least common multiple of y and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -14*i**3 - i**2 + 2*i - 7. Let n be r(3). Let b = 730 + n. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 19*h + 118. Calculate x(-15).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8857468\/30635 + 147\/2785. Let w = p - 289. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 58823679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 2*g = -5*k - 86, 5*k + g + 134 = 0. Let j be 1\/(-3) - k\/6. Suppose -8*w = j*n - 4*w - 96, -3*n - 5*w = -62. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15*(-4)\/36*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9462823 = -13*r + 15*r - 5*q, -3*q + 4731409 = -r. Let d = r + 111424. What is d rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2\/3 - 56*d - 588.\nAnswer: -4*(d + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -5*d - 43. Let a be ((-39)\/(-6))\/((-1)\/2) + 3. Let z be y(a). Let o(l) = -2*l. Give o(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.923 - -36.\nAnswer: 40.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -13793.\nAnswer: -6896.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 851346.3407 + -851421. Let z = 0.0407 - d. What is z rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2138\/(-17))\/((-48)\/24) - -2. Let w = u + -65. Which is the closest to -1\/3? (a) w (b) -0.09 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -21*n - 9*n - 4*n - 2*n in the form x*n + o and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 5899679294.9 + 148\nAnswer: 5899679442.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1085 and 10020409.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - w + 5*g = 0, -3*g + 17 = -4*w. Put 0, 0.5, w in increasing order.\nAnswer: w, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -346 = 37*k - 420 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4939490 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 11878797311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 369448.\nAnswer: 2, 46181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.03 - 3.97. Let v = -141 - -707\/5. Which is the third smallest value? (a) v (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in -2*r**5\/5 - 8*r**4\/5 + 26*r**3 + 104*r**2 - 128*r\/5 - 512\/5 = 0?\nAnswer: -8, -4, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 39.661 - 39.791. Sort -1\/6, 0, m in increasing order.\nAnswer: -1\/6, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -91 = -160*s + 173*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 5569*n - 5749. What is r(1)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 - 2*g**2 - g - 2. Let n be u(-2). Suppose -3*m - 2*m + q - 15 = n, m - 3*q + 17 = 0. List the prime factors of 86\/10 + m\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*p + 2*p + 4*p - p to a + j*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 9*i**2 + 6*i + 13. Give u(-7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/10)\/(-10*63\/525)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of 11*c**6\/120 - c**3\/3 - 28*c**2 - 2*c + 81. Let y(u) = -21*u**3 + 3. Calculate 7*l(f) + 4*y(f).\nAnswer: -7*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(320) + 0 + sqrt(320))**2 + sqrt(320).\nAnswer: -88*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -6.278 - 1041.68490191\nAnswer: -1047.96290191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 217782 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.847 + 0.347. What is the closest to 5 in -3\/5, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 2 + (-5 + 1*sqrt(245) + sqrt(245)*-2 + 3 + sqrt(245) - 1*(sqrt(245) + (sqrt(245)*6 + 1 + sqrt(245) - sqrt(245)))))**2.\nAnswer: 196*sqrt(5) + 12009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -549522 by -3.\nAnswer: 183174","meta":{"dup_signals":{},"source":"arithmetic__div_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: Which is the closest to 0.1? (a) -1 (b) 4.7 (c) 273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v - 4*v + v)*(4*v**3 - 2*v**3 - 3*v**3) + 6 + 157583*v**4 + 4 - 10 + 3110380*v**2 - 3110380*v**2.\nAnswer: 157584*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/25, -7, -20.8, -2, 44\/3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pub when three letters picked without replacement from {u: 3, b: 2, t: 1, p: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 8 (c) -4 (d) 5 (e) 7 (f) 0.074 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -474465.5162 to the nearest ten.\nAnswer: -474470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8125, -8125, -8115, -8089, -8041, -7965, -7855?\nAnswer: -7705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-3 + 5 + (-1 + sqrt(72))*3 + sqrt(72) + sqrt(72) + -2*sqrt(72) + 0 + -3*(sqrt(72) + 0 + sqrt(72)))**2.\nAnswer: -649 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 55619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 2. Let h = -16.61 + -0.39. Let v = h - -20. Which is the biggest value? (a) v (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -222 - -277. Let m(o) = 5*o**2 - 1. Let f be m(-3). Suppose -3*v = v - f. Calculate the highest common factor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -910823198*b*d**2 + 11*b*d + 9119630*d wrt d.\nAnswer: -1821646396*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 854 is divided by 180?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10967 - -12428. Calculate the greatest common factor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1426016, 2852025, 4278034, 5704043?\nAnswer: 7130052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2\/171 - -230\/171. Let y = 59945\/16857 - 1\/1873. Find g, given that -w*g**4 - y*g**2 - 28\/9*g**3 - 2\/9*g**5 - 4\/9 - 2*g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bububbquqbububuqb. Give prob of picking 1 b and 3 q.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 597600 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 6. Let n = -1.6 - x. Let p = 38 - 41. Sort p, -1, n in descending order.\nAnswer: n, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of u**2\/2 + 91*u - 116. Let c be w(-33). Which is smaller: 61 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (-7 - (10 + -4 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 39 - 37. Suppose -6*x = -2*x + 2*n - 72, -34 = -2*x - y*n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 194089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18731 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -4003*g**2 + 11*g. Let j(w) = -2*w. Determine k(j(s)).\nAnswer: -16012*s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + 5*r + 27 - 0, 4*l - 90 = -2*r. Let w = l - -4. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3 and -43465.\nAnswer: 13039.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-33)\/(-9) - 4\/6. Suppose 5*f = 4*w + 2, f - v = -4*w + 7. Suppose 3*u - f*q = 407, 5*u + q = 597 + 64. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164 is divided by 74?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t*(t\/t**(1\/2))\/t))**(-4\/27)*t**7\/(t\/t**(-1\/4)*t))\/(t**4\/(t*t\/(t\/(t*t*t**8))))**29 assuming t is positive.\nAnswer: t**(22429\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -123 - -123. Solve -2*d = g - 1 - 2, v = 4*d - 4*g - 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 940968 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -17*4\/(-4) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of p**3 + 0 + 4*p**2 + 0*p + 1\/8*p**4. List the prime factors of w(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3 - 1 - (-100)\/20. List the prime factors of (-4 - 1)*b + 237 + 2.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1561 + -1562. Which is greater: -884 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 183*x + 188*x = -2, -10*c = 3*x + 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 622 - 626. Which is the second biggest value? (a) k (b) 2 (c) -4\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, 2, 8, -1, 1 in decreasing order.\nAnswer: 8, 2, 1, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 7 = 3, 2*k - 10 = -2*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 + 8*w - 3. Let u be 2\/4 + 38\/(-4). Give y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -2*k - 1. Let f = 516 - 496. Suppose c + 29 = 47*n - 43*n, 0 = -4*c - f. Determine a(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 71\/4 of a meter?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4603 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -92*r**5 - 323411*r**3 + 14*r**2 + 523946 wrt r.\nAnswer: -5520*r**2 - 1940466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2683*w + 84942 = -27744 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 1582 by 156331.\nAnswer: 226\/22333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -36e - 1?\nAnswer: -36f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*i = -560 + 208. What is the lowest common multiple of i and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 + -20. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w - 29 = -5*s, 216*w - 220*w + 23*s = 55 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4.88 less than or equal to 217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (16\/(-20))\/(4\/(-130)). Solve -5*y = -1 + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -49 + 578. Calculate the greatest common factor of p and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 888 - 3611\/4. What is the common denominator of -52\/323 and h?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -3*u**3\/4 - 135*u**2\/4 + 3*u\/4 + 135\/4 = 0.\nAnswer: -45, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g - 33 = -5*x, 3*x - 11 = -g - 22 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34, 57, 80, 103?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -2*o + 53. Let s(l) = -4*l + 108. Determine -3*s(y) + 7*u(y).\nAnswer: -2*y + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 746326 (base 9) to base 15.\nAnswer: 8b953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 147 and 1058617?\nAnswer: 22230957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -6, -21 in decreasing order.\nAnswer: 0, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 668 = 5*m + 4*k, 5*k - 2 = 4*k. Suppose 16*d - 25 = 11*d. Suppose -7 + m = d*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2232102199 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 170941525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 27121584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3758153 is divided by 320.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -545 - 43 - 3*g**2 - 61.\nAnswer: -3*g**2 - 649","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*o - 3*x + 27, 0 = 57*o - 123*o + 67*o + x - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeeeeeyeyeeeeeeyeee. Give prob of picking 2 y and 1 e.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3910, -7769, -11628, -15487, -19346?\nAnswer: -23205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*s**3 - 6*s**2 + 4008685*s + 11988870.\nAnswer: -6*s**2 - 12*s + 4008685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-four thirds of a year in months?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 5*a = 350, 3*x - 4*a + 746 = -282. Let t = 340 + x. Solve -3*o + 12 = -t*d - 3*d, 0 = 3*d + 2*o - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36 (base 10) in base 7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2, -333, -1 in ascending order.\nAnswer: -333, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2 - 5*b + 3. Let x be z(3). Suppose 3*i = 5*i - x. Solve 3*f + f - i*k - 1 = 0, -2*k = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 221469, 442964, 664461, 885960, 1107461, 1328964?\n\"Answer: u**2 + 221492*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -12 (b) 3 (c) 0.2812 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -38*((0 - 1) + 3)*322\/(-1288)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-5) - 11826\/(-15). Let k = 1233 - m. Suppose 0 = -i, -a + 6*a + i = k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7504\/(-196) + 38 - 1497\/(-21).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14666825, -29333644, -44000463?\nAnswer: -58667282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the first derivative of -a**4\/4 - 8*a**3\/3 + 9*a**2\/2 + 6*a + 1. Let p be z(-9). Suppose 5*x + 6 = p*x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10 or -136\/13?\nAnswer: -136\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 10512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 220 + 106. Let d = j - 213. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/320*20)\/(1*-2)*2*-42?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/2? (a) -4 (b) 0.2 (c) 2\/7 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 310 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add 1689.9 and 3.6066.\nAnswer: 1693.5066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 - 2. Suppose -1 = -4*n + r. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (4\/3)\/2*198\/(-12). Let a be (f\/55)\/(-2 + (-28)\/(-10)). Put a, 17\/5, 0.4, -1 in increasing order.\nAnswer: -1, a, 0.4, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 AM and 8:36 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/18 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the second derivative of g**5\/20 - 11*g**4\/12 - 11*g**3\/6 - 11*g**2\/2 - 12*g. Let y be d(12). Which is smaller: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21821529?\nAnswer: 3, 7273843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of d**2\/2 + 38*d - 7043. Calculate h(-22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 4658, 9495, 14334, 19175, 24018?\n\"Answer: v**2 + 4834*v - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vfbeebvfbvbebfb. What is prob of sequence bveb?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 154 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 9:22 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times 218850?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -34 + 4b1?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p. Let c(k) = -11*k - 107. Let z(f) = -c(f) - 6*u(f). Let a be z(-11). Let t = 202 + 6. Calculate the greatest common factor of t and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3 - -0.2. Let u = 6.6 + 0.4. Let j = 8 - u. Which is the nearest to j? (a) 2 (b) -2\/15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -95, -190, -285?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 399 - -68c?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 139556*g**2 - 32941.\nAnswer: 279112*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-21)\/(-35)*5*2\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 5*k - 0*k - 210, k - 52 = -n. Suppose 0 = -6*l + l + n. Let x be l\/(-3)*(-18)\/4. Solve -7*g = -2*g - 5*v + x, 0 = -g - 2*v - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27 - -23.1. Let w = 2.9 + q. What is the third biggest value in -3, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4*z**3 + z**2 + z + 1. Let h be w(-1). Suppose 0 = h*l - 0*l - 20. Suppose -l*y + 56 = -132. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 136 divided by 4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -165 - -180. Factor -54*z**2 - 81\/2 - f*z**3 - 3\/2*z**4 - 81*z.\nAnswer: -3*(z + 1)*(z + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -113 + 115. Sort o, -12, -1 in decreasing order.\nAnswer: o, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 8767485\/161 - 12\/28. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that t**4\/2 + 4424*t**3 + 9790311*t**2 + 19567352*t + 19562929\/2 = 0.\nAnswer: -4423, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 3, m: 4, w: 1}. Give prob of sequence mwm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 146115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 55*c**2 - 915*c + 560.\nAnswer: 5*(c - 16)*(11*c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -9*z + 6. Suppose -5 = 2*h + 9. Let k be a(h). Let x = -58 + k. Put -1\/3, x, -3 in ascending order.\nAnswer: -3, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) -136 (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -3*x**2 - 2049*x - 225630 = 0. Calculate x.\nAnswer: -545, -138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.3+142095.6441161\nAnswer: 142095.3441161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5626?\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((sqrt(931) - (sqrt(931) + 0) - sqrt(931) - sqrt(931)) + -1) + 3)**2*-2.\nAnswer: -186328 - 2240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12173\/25 + 487. Let p = y + 19\/75. What is the second biggest value in -2, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/((2\/12)\/(18\/(-81))). Suppose 2*k + 5*i - 40 = p*k, 0 = -2*i - 4. Let x = k + 76\/3. Which is the nearest to x? (a) 3 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange v + 10*v**3 - 1 + 15*v**3 + 0 - 23*v**3 - 14*v - 7*v**2 to the form c*v**3 + k*v + h + a*v**2 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the first derivative of 11*h**4 + 2*h**3\/3 + 6*h**2 + 20. What is the third derivative of g(q) wrt q?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*g**2 - 2617 + 2617.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that w**3\/3 + 23*w**2\/3 + 80*w\/3 + 76\/3 = 0.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t + 0*t + 2*t**2 + (2*t + 1 - 1)*(2 - 2 + 2*t) + 1 - 1 - t**2 + 3*t**2 - t**2 - 4*t**2 + 4*t**2 - 8*t + 10*t + 4*t**2.\nAnswer: 11*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21 - 11)*-1*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5)\/20 - (-122)\/8. Let x = 7027\/426 + 1\/213. Let d = x - k. Which is the second biggest value? (a) d (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29, 32, 37, 44?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -131*b = -4227 - 1232 - 960. Calculate the remainder when 200 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.46 - 2.2. Let s = f - -0.04. Let p = -120 + 1078\/9. Which is the smallest value? (a) s (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 + 4*s)*(0*s + 0*s - s**2) - 5*s + 286*s**3 - s + 386*s**3 + 6*s + 426*s**3 to the form x + w*s + y*s**3 + f*s**2 and give y.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63 + 126. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/31909 equal to 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -228*v + 225*v + 5*i = 19, -5*v = -2*i + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1\/4845 - -455443\/62985. Is g less than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11412 at most as big as -11412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 2*g = -54, a - g = -3*a - 38. Let h be ((-44)\/55)\/((8\/a)\/2). Solve -9 = h*i + 1, 5*i = -2*n - 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 926529930 divided by -9\nAnswer: -102947770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*z - 4*z + 3*z + (0*z - 5*z + 3*z)*(3 - 2 + 2) + (-3 - 2 + 4)*(-5*z + 4*z + 2*z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - -42?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1886 - 1885. Is -5\/72 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 275 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(108) + -2 + -4)*-5 + -4 + 0)**2.\nAnswer: -6720*sqrt(3) + 13936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 20 = 5*y, 1 = 2*y + 5*n - 13. Factor 60*f + 10*f**2 + 22*f**y + 3*f**2 - 20.\nAnswer: 5*(f + 2)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 394840 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-4)\/(-10))\/((-2)\/(-30)). Let p be 4\/s - (-4)\/3. Find the first derivative of -p - 1 + 4 - 4 - a**2 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the first derivative of 54 + 0*z**3 - 7*z + 31\/4*z**4 - 2*z**2. What is the second derivative of h(v) wrt v?\nAnswer: 186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(-7)*((-6)\/4 + -2). Let v be 10*-5*t\/(-25). What is z in -3\/5*z + 0 + 3\/5*z**3 + 12\/5*z**2 - 12\/5*z**v = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-5 + 0 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 - 1130*l**2 + 1161*l + 33927. Calculate z(-1131).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*i + 31*i - z = -81, 4*i - 69 = -5*z. Suppose 0 = b - 5*t + i, -79*b + 5*t - 41 = -83*b. Solve 0*x + 10 = 2*x + b*u, x - 4*u + 19 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 8) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -720913, -2883671, -6488273, -11534725, -18023033, -25953203, -35325241, -46139153?\n\"Answer: -r**3 - 720916*r**2 - 3*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -501*t + 3498. What is v(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 5*v**3 - 9*v + 6. Let f(h) = 6*h**3 - h**2 - 10*h + 7. Let b(s) = 4*f(s) - 5*i(s). Let m(p) = 3*p - 2*p - 2 + 1. Let k be m(-4). What is b(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/9)\/4*(-30)\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 34*n**2*z + 4*n**2 - n*z - 961*z + 2 wrt n?\nAnswer: 68*n*z + 8*n - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)\/(-1*sqrt(11)) + sqrt(7) + -4*sqrt(63))**2 + sqrt(378)\/(sqrt(150) - sqrt(6)).\nAnswer: 3*sqrt(7)\/4 + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*m = 1349*m - 594*m + 299*m - 23751 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.03 + 0.06. Let t = x - -2.97. Let b = 269\/26 + -21\/2. What is the nearest to t in -3, b, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 50606331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/15 in 1, 0.069, 1\/7, 4, 1\/2?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(396\/(-88))*(-3)\/222?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(1\/2)*p**(-2\/5)\/p)\/(p\/(p\/(p\/(p\/(p*p*p\/(p*p*p*p*p**(3\/5)\/p*p)*p))))*p*p\/p**(1\/2)))\/(p\/(p*p\/p**(2\/7))*p**0)**19 assuming p is positive.\nAnswer: p**(412\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be -7*(-6)\/105 + 30\/175. Find y such that 2\/7*y**3 + 4\/7*y**2 - u - 2\/7*y = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = 2*g - 24. Suppose -g = -4*u - 4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 2*s, 3*s = -o - 3*o + 35. Suppose -s*y + 37 = -38. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 - (9 + (9 - 8 - 6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 442 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*g**2 - 14*g**2 + 4*g**2)*(1 - 1 - 2*g**2).\nAnswer: 34*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 d, and 1 f when three letters picked without replacement from {f: 8, d: 7, q: 2, s: 3}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -8, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*o - 3*o - 4*n + 9, -2*o + 5*n = -6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2001.0000017296 - 2001. What is v rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 5*a = m + 3, -4*a = 4*m - 4. Let g be ((-2)\/6)\/(m\/(-12)). Let -1\/4*y + 0 + 1\/4*y**g = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/2 + 22 - -1. Suppose -4*w - 16 = 2*i, -5*i + 5*w = 10 + 15. Let v = s + i. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + (-9 - ((3 - -3) + -12) - -31) + 66.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 - 1)*(18*s**4 - 18*s**4 - 7*s**5) + 142*s**5 - 215*s**2 - 287*s**5 + 144*s**5.\nAnswer: -15*s**5 - 215*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 195549583\/36850 - 264559\/50. Let n = 172\/11 - h. Is 1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -31013 + -11353?\nAnswer: -42410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 145 minutes after 11:34 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 4*z - 38 = 0, w + z = 3*w - 38. Suppose 0*d - 14 = -2*d. What is the remainder when w is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 214 - 192. Suppose 0 = 3*n - 6*n - 4*c - s, 0 = -2*n - 4*c - 12. Suppose -3*a + 1 = -4*o, -2*a - 5*o - 10 = -4*a. Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -42 - -53. Suppose 627 = -q*l + 2145. Is 46 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -2\/12197?\nAnswer: -2\/12197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 2399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6698351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4181, -16986, -38373, -68342, -106893?\nAnswer: -154026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -p + 21. Let f(c) = -4*c + 6. Let l be f(p). Calculate the common denominator of -18\/5 and 1 + -1*6\/l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1867 + -1862. Sort b, 3, 40 in increasing order.\nAnswer: 3, b, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.362878 to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 17*z**2 - 6*z**2 - 7*z - 2 - 3*z**2. Let g(a) = -6*a + 7*a**2 + 183 - 411 + 226. Determine -6*d(c) + 7*g(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 4\/5, 0.05954, -868?\nAnswer: 0.05954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1034256, 2, -0.2, -3 in descending order.\nAnswer: 1034256, 2, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 9*g - 12. Let o(q) = -19*q + 26. Let p(i) = -13*b(i) - 6*o(i). Let z(y) = 5*y**2 - 2*y**2 - 4*y**2. Determine p(z(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -68*0.4.\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rqbrkrbrr. Give prob of picking 2 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 180 + -92. Calculate the greatest common divisor of 352 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 4, g: 6}. Give prob of sequence iig.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*s - 3*q = -5*q + 86, 0 = -s + 5*q - 6 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-24)\/(-14) + 16\/(-8). Let n = -380.4 + 381.4. Sort u, -3, n, -5\/6 in increasing order.\nAnswer: -3, -5\/6, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 - 10*k**2 + 10*k - 14. Let h be b(-11). Calculate the remainder when (-1 - (1 - 6)) + h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -2*u**2. Suppose 6*s - 12*s + 18 = 0. Let w(n) = -s*n - 15*n + 11*n. What is w(v(p))?\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -258, -507, -748, -981, -1206, -1423?\n\"Answer: 4*q**2 - 261*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(4\/9)\/(f\/(f\/f**(-11))))**15)**(-46) assuming f is positive.\nAnswer: f**(-23690\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1861100 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (11 + 2)\/((-4)\/(-16)). Let w = a + -36. Suppose 0 = -2*l + 9 - 1. What is the greatest common divisor of l and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7.84 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 42, -54, -154, -258, -366, -478?\n\"Answer: -2*b**2 - 90*b + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -185, -735, -1659, -2957?\n\"Answer: -187*a**2 + 11*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-12)\/(-10))\/((-4)\/(-10)). Let o(k) = 45*k - 6. Is o(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 0 - 6 - (-20 + 18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + 5*v**2 + 2*v. Let j be t(5). Let h = j - 6. Let l be 7 - (3 + -1) - 1. Solve 3*c - 3 = y - c, -h*y = -l*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**2 + 4*c - 1. Let i be n(-5). Solve -4*b - 19 - 1 = -4*f, i*f - 21 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 54300 less than -1482?\nAnswer: -55782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5292\/8820*5\/(-14)*1?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 36069078 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**4\/5 - 4*o**3 - 22*o**2\/5 = 0. Calculate o.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = s - 3. Suppose 0 = 4*c + 8, -4*y + 7 - s = 4*c. Suppose -3*h = -y*r - 261, -r - 6 = 2*r. What is the highest common divisor of 34 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24 - 22. Let k(x) = -x + 1. Let f be k(9). Put t, 4, f in decreasing order.\nAnswer: 4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 697 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 + 4*f**2 - f + 9. Let m be v(4). Differentiate -21*i**3 - m - 11*i**3 + i**3 + 0 wrt i.\nAnswer: -93*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 222 and 58?\nAnswer: 6438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - 6*q + 5. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 50*k. Let d(v) = -13*v - 9. Let z(s) = -3*s - 2. Let i(h) = -4*d(h) + 18*z(h). Determine q(i(y)).\nAnswer: -100*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 11.9974. Round t to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 3*d**2 - 6*d - 2. Let g(f) = -f**2. Give 5*g(u) + l(u).\nAnswer: -2*u**2 - 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -154 in -667, 0.1, 85?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -615*v - 652*v - 380 - 2718 = 282*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of 3*o**5\/20 - 2*o**2. Let w be k(1). Suppose -5*z + 4 = 3*y, z = -4*y + w + 2. Solve -y*f = 1 - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*c = 57*c - 23*c + 55 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -3*y**3 - 5*y**2 - 2*y - 3. Let s(n) = n**3 + 2*n**2 + n + 1. Give -4*k(b) - 9*s(b).\nAnswer: 3*b**3 + 2*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 33702593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49838?\nAnswer: 2, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -909, 2\/5, 79.4, -1\/6, 0, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 49 + -7. Suppose 0 = -3*j - 24 + p. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3\/40 or 0.034?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.28 + 1.72. What is the biggest value in -3, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98662005 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 + -52033?\nAnswer: -52043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12 in -418, -3, -4, -188?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 9*v - 142. What is w(1)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = l - 60. Let x = 41 + -23. Let v = l - x. Solve -5 + 15 = v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3173847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27831 or 27828?\nAnswer: 27828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/2297 and 117\/112240.\nAnswer: 257815280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13 - -201051?\nAnswer: 201034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 77191\/38120 - -1\/19060. Find the common denominator of u and 13\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1105442289 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -507 - -5?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -65 + 94. Let x = 35 - m. Let t(h) = 7*h - 4. List the prime factors of t(x).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + -6 - 15 - (-1 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 5*a + 3 - 4*a + 3. Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -17*a - 2 + 7*a - 4*a**2 + 3 + 0*a**2. Let g(j) = -j**2 - 9*j + 7. Let o(x) = -4*x + 4. Let w(m) = -3*g(m) + 5*o(m). Determine -5*h(p) - 7*w(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h. Let a(z) = -z. Let u(t) = -a(t) + 2*o(t). Let b(m) = -4*m. Let p(w) = -5*b(w) - 7*u(w). Let n(s) = 5*s**2. What is p(n(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b**3\/3 - 4*b**2 - 120*b + 2800\/3 = 0.\nAnswer: -14, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 14624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2546\/159 + -229\/53. Find the common denominator of 35\/513 and j.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 7*a**2 + 22*a - 210. What is the tens digit of d(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 3 = -0*u. Suppose -5 = -0*q - q. Suppose -q*f + 3 + 7 = 0. Solve -f = c - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*c**3 - 337*c**2 + 26*c + 817448 wrt c.\nAnswer: 6*c**2 - 674*c + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -309 + 604 = -51*j - 368 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from klkprkllcrlkrltttlct.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10953?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1349*w**3 + 456*w**3 + 1 - 1)*(-5 - 1 + 15) to q + o*w**3 + m*w + y*w**2 and give o.\nAnswer: -8037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 43398 divided by -14466?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 5*c + 70. Let z be d(-13). Suppose z*i + o - 134 = 0, -5*i + o = -6*i + 26. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 420296 is divided by 139997?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 68194 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 3*j + 0*j + 0*j - 2*j. Let b(u) = 4*u**2. Determine x(b(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1\/2)*w)\/(w\/(w**(-2\/25)*w)))**(-28)\/(w*w\/w**6*w**(1\/5))**28 assuming w is positive.\nAnswer: w**(2366\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 86, 243, 400, 557, 714?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 405 and 1306.\nAnswer: 528930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 180 and 5894820.\nAnswer: 5894820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (19*s**2 + 0*s**2 - 4*s**2)*(-4 + 4 - 1 + (-5 - 3 + 2)*(-3 - 1 + 2)) in the form l*s + r + b*s**2 and give b.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f**3 - 2*f + 109*f**4 + 1141 - 4*f**2 + 8*f**2 - 1141 + f**2 in the form q*f**3 + b + x*f + l*f**4 + o*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 2*j + 30 = 0, m + 4*m - 30 = -4*j. Calculate the remainder when 2\/m - 60\/(-9) is divided by (-6)\/(-3 + 0 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 14 = 6*j - 3*j, -3*w = 5*j + 4. Solve 0*q = 4*x - w*q + 4, 0 = -2*x - 4*q - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 14932, 14936, 14940, 14944?\n\"Answer: 4*g + 14928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 42480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (270\/48)\/(-15) + 7 + (-2844)\/96\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {v: 17, c: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 5*c - 23 = 7, 5*c + 15 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**3 + 20*i**2 - 8*i - 58. Let a be s(-20). Let h = -50 + 79. Let x = a - h. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 405\/16044 + (122 + -81)\/(-1148).\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + -23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.04093 - -0.042. What is x rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -0.06, 11\/6, 0.1 in descending order.\nAnswer: 11\/6, 0.1, -0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 = 4*s + 262*l - 257*l, -3*l = 5*s - 39 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25790845 is divided by 3363.\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -2*f**2 - 1 + 11*f + 0*f**2 + 3*f**2 - 7. Let k be r(-12). Is 9 a factor of 7 - k - 24\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1907.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(18) - (sqrt(18) - (-1*sqrt(18) + sqrt(18)))) - -3*sqrt(450))\/((sqrt(27)\/sqrt(3)*-2 + sqrt(108)\/(2*sqrt(12)))*-6))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -2156 and -4533.\nAnswer: 9773148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1866499464 to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, -15, -3 in decreasing order.\nAnswer: -1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -591*p**2 - 28 + 10*p**3 + 591*p**2.\nAnswer: 10*p**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -19 (b) 0.09 (c) 0 (d) -0.4 (e) -1 (f) 2\/185 (g) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 238220 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2590, 5281, 8178, 11383, 14998, 19125, 23866, 29323?\nAnswer: 35598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 + 71 = 6*h. Suppose 0 = -5*k + h*k. Suppose -8*u + 552000 = -k*u. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 321 - 320.9. What is the closest to a in 1\/9, 0.1, -33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, -1\/5, -4\/3, -0.3 in descending order.\nAnswer: 2, -1\/5, -0.3, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69 - j + 272 + 20.\nAnswer: -j + 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 206359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -2*c. Let m(o) = 6*o. Let z be m(-1). List the prime factors of h(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*o**2 + 2*o + 2*o + 4*o - 4*o.\nAnswer: -64*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 17*o - 3. Let i(j) = -9*j + 2. Let n(l) = -5*i(l) - 3*u(l). Determine n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14322 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m + 5. Let w be q(-5). Suppose w = 4*p + 1 - 21. Suppose u - 10 - 5 = -p*f, 4*f = -u + 12. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-1\/3)*u**(-5))\/(((u\/(u**(-6)\/u))\/u)\/u**(-5)))\/(((u\/(u**(-2\/9)\/u))\/((u**(-2\/5)*u)\/u))\/((u\/(u*u**(2\/7)\/u*u))\/u**4)) assuming u is positive.\nAnswer: u**(-7636\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 s when four letters picked without replacement from qqsvssbsssqvssddqss.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 10:32 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5372 (base 9) in base 4?\nAnswer: 331301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 181*d - 5040 = -190*d + 359*d. Calculate the remainder when 2110 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -5*g, 0 = -3*w + 5*g + 3900 + 14680. Let v = -3126 + w. Suppose -3*p = v + 31141. What is p rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 22113 (base 6) to base 7.\nAnswer: 11643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8039 - 8033. Put n, 4, 0.3 in decreasing order.\nAnswer: n, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 9}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/((-5)\/(10\/3)). Let x(a) = 17*a**2 + a + 2. List the prime factors of x(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 + 9. Suppose 3*t + 2*c = -0*t + 88, -150 = -v*t - 5*c. Suppose -193 = -5*h - t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6\/2323 + 738684\/11615. Let p = 64 - x. What is the second smallest value in 2\/11, 2\/13, 1, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/36 and 3\/(-12) + (17\/14 - 1).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*x**2 - 2*x**2 + x**2 - 19*x**2.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, e: 8, h: 2, c: 7}. What is prob of picking 1 h, 1 e, and 1 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.178 + 0.078. Let x = -61 + 64. Let p = 145 + -1593\/11. What is the closest to t in p, x, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 4 + (sqrt(405) - (sqrt(405) + -2)**2) + 0.\nAnswer: -403 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -13*s**3 - 39*s**2 + 145*s - 48. What is l(3)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*x + 64*x = 231*x + 6325 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-128)\/(-336)*28)\/(1130\/339).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-12))\/((-24)\/(-32)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -397 - -397.1. Which is the nearest to l? (a) -1.66 (b) -5\/4 (c) 1\/8 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 484 and 7?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 9*v - 3. Let h be n(3). Let c be (h\/9)\/(-4)*-3. Find the third derivative of -2*m**4 + 0*m + 0*m + c*m**2 + m**4 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 93 and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 4*s - 19, 2 = 2*g - 0. Let n = 13 - s. Suppose 0 = -3*i + 5*c + 95, 34*c = 3*i + 39*c - 55. What is the remainder when i is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*1*sqrt(40)*-2)\/(sqrt(40)\/(-6*sqrt(20)\/sqrt(4))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b = -2*q - 3*q + 19, 5*b - 2 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6807645 and 10530.\nAnswer: 13615290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 5*z + 415 = 4*l, 4 = -4*z. Suppose -444 = -39*w + 2*w. Suppose 0 = p - 4*n - 8 - l, 0 = 3*n + w. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6000 and 1140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*m - 53 + 53)*(0 - 2 - 2*m + 3) as w*m**2 + o*m + n and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 6*f - 11. Give l(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 265819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 18977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -167*z - 565 = 437 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes after 3:24 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 32 + -31.5. What is the biggest value in 0.4, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2\/809 + 769\/16180. Let q(b) be the second derivative of -1\/2*b**2 - 2*b + 0 + 0*b**4 + y*b**5 + 0*b**3. Differentiate q(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - (0 + -3) - -2) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 3*h**2 - 3. Let p be 15\/(10 + -5)*-1. Let o(v) = 1. Give p*o(x) - y(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -71.0322 to the nearest integer.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 5 + sqrt(7) + 0.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(-1\/14)*r*r)\/r**(2\/23))**(1\/5))**(11\/3) assuming r is positive.\nAnswer: r**(671\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -259292250 by 148167.\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 10*w**2 + 13*w - 73. What is a(-11)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 246428 and 50313?\nAnswer: 196115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*b + 130 = -5*b. Suppose 4 = 2*y, 0*y - 5*y = -b*g + 5. Let l(n) = n**3 + 6*n**2 - 8*n - 7. Let s be l(-7). Solve s = 5*i - 8 + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1260565*j**3 - 649*j**2 - 8*j - 14 wrt j.\nAnswer: -7563390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/((-8)\/6 + 1). Suppose -5*n = -z - x, 0 = -4*n + z - 4*z + 11. Suppose -s + 21 = n*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 774*h**3 + 2*h**2 - 4*h - 2. Let y(j) = -3094*j**3 - 9*j**2 + 18*j + 9. Calculate -9*m(d) - 2*y(d).\nAnswer: -778*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 633*f - 637*f = -444. Calculate the remainder when f is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 2 = -2*n, -n - 17 = -5*n - 5*i. Let s = -33 - -38. Suppose -2*r = -s*r + 3. Solve c + r + n = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-40 - -46) + -2 + 7 + 6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 4 - (126 + -2 + (-160 - (-37 + -98)))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -128075*l*w**2 + 139893369*l - 70*w**2 wrt w?\nAnswer: -256150*l*w - 140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/18 and 17\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 2629*17 + 2*(176\/16)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 21795\nAnswer: -4\/21795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*o = 1588 - 212. Let i = 102 - o. Solve -5*l + l - i = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f - 12 = 6. Let b be -4 + 0 - 4*-2. Put f, 3, 2, b in descending order.\nAnswer: b, 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + f - 5*f = 0, -278*f = 3*j - 276*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**0\/d**(-2\/119)*d\/d**(6\/5)*d**3 assuming d is positive.\nAnswer: d**(1676\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -3*z**2 - 11*z + 5. Let s(b) = -2*b**2 - 11*b + 4. Determine 3*r(i) - 4*s(i).\nAnswer: -i**2 + 11*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -6*i + 25. Let a(y) = -y + 5. Let n(s) = -11*a(s) + 2*l(s). Let w be n(0). Let z be (-6)\/(-15) - 28\/w. Solve z*k - 3*k = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3 + 5\/30*59 and -86\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -179, -114, -5, 148, 345, 586, 871?\n\"Answer: 22*m**2 - m - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -436 or -444?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.3, -1, -1\/5, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*v + 2*c, -4*v + 2*c - 4*c = 0. Suppose 3 - v = n. What is the remainder when (4 + -5)*(-1 + 0) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1560056915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164 = 6*l - 136. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 297846232 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c**2 + 2*c - 1. Let n be w(1). Let b be 60\/24 + n\/2. Calculate the remainder when 14 is divided by 6 + b + -5 - (-1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**3 + 7*g**2 + g + 5. Let m be v(-4). Let p be (-184)\/14 - (-7)\/m. Let l = 76 - p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2705*n - 351 = -2666*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7075 is divided by 6716?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26936.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 64 - 35. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 4 = -5*r, 6*d - d - 3*r - 5 = 0. Which is greater: -4\/29 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 95 - 90. Solve -3*j + m = -2*y, 0 = -2*j - 2*j - y + 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 2*g - 18, 6*h + 26 = 2*g + h. Suppose g*x - 7 = 11. Calculate the lowest common multiple of x and -2 + 4 + -1 - -15.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.603606 bigger than -1007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 448601738 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2257 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4906*j*q + 4185*j with respect to q.\nAnswer: -4906*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4663 is divided by 165?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/4 and -16*(-34)\/6*4\/240?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4825 + -4826. Let n = 3 + -3.5. Let l(u) = u**3 + 5*u**2 - 3*u + 23. Let r be l(-6). What is the closest to f in -4, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -27*b**2 + 11*b**5 + 27*b**2 + 5*b**5 + b**5 - 4*b**5 + 3*b**5 - 6*b**5 + 2*b**5 + (-2*b**3 + 2*b**2 - 2*b**2)*(b - b - 2*b**2).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*q + 31 - 31 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(3)*1 - (1 + sqrt(363) - sqrt(363)).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -4*t**3 - 37*t**2 + 9*t + 9. Let g(f) = -f**3 - 9*f**2 + 2*f + 2. Give 2*a(k) - 9*g(k).\nAnswer: k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1242, -5029, -11358, -20229, -31642?\nAnswer: -45597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 4 + -3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*((-3)\/(-9) + 4\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -728 divided by 8\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83657.\nAnswer: 7, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 5*g - 18. Let l(t) = -t + 5. Let i be l(7). Let w be (i - 1)*g\/(-6). Solve -3*c + w*c = 0, 5*c = -3*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2868930 rounded to the nearest 10000?\nAnswer: 2870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -210200012210 - -212210?\nAnswer: -210122100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -3*y**3 + 3*y**2 - 9*y + 15. Let q be s(4). What is the hundreds digit of 410\/15*q\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 + f + 30. Let j = -1607 + 1607. What is v(j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 PM and 5:39 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1230106465 is divided by 10123.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5a - 5?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + -0.3553508?\nAnswer: -7.3553508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-31*p + 13*p + 14*p)*(-2*p - 2*p + 0*p) to a*p + s + t*p**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 702499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2878 + 2881. What is the second biggest value in -16, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-6) - (-72)\/(-80)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 974910 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 180369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 66213 and 36785.\nAnswer: 331065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 5778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -5070*s - 15200. Calculate k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 12 - 12)*(o + 9*o + 2*o**2 - 9*o).\nAnswer: -30*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 414.5835 to 1 decimal place.\nAnswer: 414.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3917878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -69136.048371 - -69136. Let b = c - -0.049. Round b to 5 decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 284, 627, 1190, 1967, 2952, 4139, 5522, 7095?\n\"Answer: -o**3 + 116*o**2 + 2*o + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -6221705 (base 10) in base 2?\nAnswer: -10111101110111110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b + 16. Let v be r(-12). Let s be (-6)\/(1 + (-4)\/(-8)). Let j be (4 + s)\/(-2 + 4). Solve j = -x - 0 + v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (11 - (-13 + 28)) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3848 + 3838. Which is the smallest value? (a) 13 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-2\/11)*y*y**(-14\/5) assuming y is positive.\nAnswer: y**(-109\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l**3\/5 - 33*l**2\/5 + 1398*l\/5 - 4872\/5 = 0.\nAnswer: -29, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 166 (b) -1 (c) 467\/8 (d) 0.4 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20436787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.03 or -1.03?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/10*28\/63.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 31 + -22. Suppose -k*m - 2 = -11*m. Solve 5*y = -5*z - 10, 3*z - y - m = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6 = j + q, 5*j + 2*q - 16 = 0. Suppose -35 = -j*f + 253. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 12533 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52023, 103486, 154949, 206412?\nAnswer: 257875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.116644us to seconds.\nAnswer: 0.000007116644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s**2 + s - 2*s**3 - 3*s**2 + 3*s**3 + 27*s**3 - 37*s**3.\nAnswer: -9*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 j when three letters picked without replacement from {l: 1, j: 4, f: 4, w: 2, y: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/8 - (0 - 0). Let h = -1.989 - 0.011. What is the closest to -1 in d, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 4*u - 7*u = -4*u + 3*u + 63, 2*u = 14*o - 128 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -5*k**2 + 66*k + 326. Let j be u(17). Find p, given that 0*p**2 - 2\/13*p**j - 2\/13*p**5 + 0 + 0*p + 4\/13*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of 3*w**2 - 5*w - 394. Let a = -6 - -12. Let f(s) = 7*s - 6. Let o(t) = a*n(t) - 5*f(t). Let d(q) = -36*q. Determine o(d(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:19 PM and 11:39 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 - 7*h - 8. Let g be k(8). Suppose 2*j = 5*j - 45. Let w = 22 - j. Solve g*p - 5*x - 15 = -5*p, p + x = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**2\/3 - 21872826*r - 358815387919707.\nAnswer: -(r + 32809239)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 6 = -3. Let p be (-4)\/l*-2 + (-1 - -4). Let u be p\/(25\/(-60)) + 3. Calculate the highest common divisor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 5 (b) 45 (c) -1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 0 + sqrt(1200) + 0 + sqrt(1200)*-2 + 3 + 2)*4.\nAnswer: -80*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 109 + 3*p - 160 + 72. Give c(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04237673535 to six dps.\nAnswer: 0.042377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 j when three letters picked without replacement from {t: 5, w: 3, o: 1, b: 2, j: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 5*k**2 - k - 185. Let r(p) = -p**2 + 37. What is 11*r(o) + 2*y(o)?\nAnswer: -o**2 - 2*o + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33\/(2369763\/30098) - 8\/18.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5246177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11408\/644 + (-64)\/4?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n**5 - 448*n**4 - 20160*n**3 + 43840*n**2 + 80576*n - 168192 = 0. Calculate n.\nAnswer: -36, -2, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00004016264 rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*k + 233148 = 5*l + 14*k, 5*k + 139900 = 3*l. Round l to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0, 0.4, -88\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (6 + -3)\/(6\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 5*l - 4. Let o be d(2). Let x be 2\/4*0 - (-18)\/o. Suppose 2*t = x*s - 2*t - 476, s - 5*t - 155 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2743738+-0.1\nAnswer: 2743737.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + 30*h - 219. Let x be r(17). Solve 6*m = 8*m - x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3046937969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 4*d - 1. Suppose -7*r - 11 = 143. Let q be -5 - (15\/(-3))\/(-10)*r. Solve 3*g - q = 3*x, -g = d*x - 0*g + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24276542?\nAnswer: 2, 79, 153649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8046.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a - 43063 + 43066 = -5*y, -a = y + 2 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 4 + 19)*(3*h - 3*h + 2*h**3) + (-6*h + 2*h + 3*h)*(0*h**2 + h**2 + 0*h**2) as v + x*h**2 + r*h**3 + z*h and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -52108, -104885, -157662, -210439, -263216, -315993?\n\"Answer: -52777*m + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35479557?\nAnswer: 3, 29, 135937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121558?\nAnswer: 2, 60779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 5*d = -19, 34 - 3 = 3*w - 5*d. Suppose -3*h = h - w. Is 1986\/24 + h\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-4)*8\/4. Suppose -5*x + w*l = -34, 0 = x + 4*x + 2*l - 19. Suppose -2*p + 4*s = 4, 0 = -5*p + 5*s - 0*s + x. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, r: 6, p: 5, k: 2, u: 1}. What is prob of sequence krk?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m - 2. Determine i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(25\/4))**(2\/105) assuming v is positive.\nAnswer: v**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5762515*m**2 + 4049086 wrt m.\nAnswer: -11525030*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -4*o + 1. Calculate m(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h - 4*k + 3388 = -4*h, 0 = 4*k + 12. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 96 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -508758 divided by 3?\nAnswer: -169586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4516967 is divided by 239?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -36*a - 419. Let v be l(-13). Suppose 22*g - v = -5. Solve 0 = -4*d + 20, 0 = -g*c + 3*d - 2*d + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2597*r**4 + r**2 + 1254*r wrt r.\nAnswer: -62328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 3*z - 80 = 0, -29*z = 5*y - 30*z - 187. Let a = -3 + -6. Let d = a + y. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1308386417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together -240.15088 and -1712891.\nAnswer: -1713131.15088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of -29*a**6\/6 - 206*a**3 - 14*a - 17. What is the second derivative of b(q) wrt q?\nAnswer: -1740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 8*z**2 + 5*z + 3. What is o(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 2*y = -0*y - 38, -4*y = -o + 19. Differentiate -3 + 15*q**2 + 4 + o with respect to q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 6:32 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -0*v + 3*v. Let u(t) be the second derivative of -t**3\/3 + 2*t**2 - 2*t. What are the prime factors of u(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, 291, 5, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*z - 17*z + 9990 = -313*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -3*b - 14, -v + 0*b = -b - 2. Sort -10, v, 5 in ascending order.\nAnswer: -10, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 2:38 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1 + (-32 - -1) + 28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 36 + 7038?\nAnswer: 7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 72, 47, 22, -3, -28?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, -8, 2\/3, -6 in descending order.\nAnswer: 3, 1, 2\/3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be 279\/(-155)*25\/(-1). Is 30*(747\/l + 1) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*h + 9*h + 8*h + 11*h + 13*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93, -121, -107, -45, 71?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.009 + -0.00899952. Round b to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 115738712 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-51)\/(-5)*7720\/64. Let j = 1219 - v. Find the common denominator of -145\/12 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d + 4. Let g be n(-2). Let a = 2 - g. Suppose -2*m - 5*t - 16 = a, m + t = -2*m + 2. Solve -2*u = 5*k + 33, 0 = m*k + 4*u + 13 + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2720555 by 41.\nAnswer: -66355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -239 and -156.\nAnswer: 37284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s + 2*n + 14 = 7*n + 267 + 212, 2*n = -186 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/5)\/(9\/9). Let n be ((-1)\/3)\/(13\/(-26)). Which is the second biggest value? (a) n (b) o (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 30*u**2 - 24*u - 73. Is o(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 24957180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/144 + 141\/(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 0 - 1\/2*w - 1\/4*w**2 + 1\/4*w**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-2)*d*(d\/d**1*d)\/d)\/(d*d**(-2))**(1\/5) assuming d is positive.\nAnswer: d**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**2 + 5*y - 75. Let r be s(-12). What is the greatest common factor of r and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 5*m - 8. Suppose -3*o = -j - 10, 0 = -9*j + 4*j - m*o + 45. Calculate the remainder when 7 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**0*j)**(2\/53)\/((j*j\/(j**6\/j*j)*j*j)\/j**(-9)) assuming j is positive.\nAnswer: j**(-369\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -36 - -24.034. Let i = 150.8 - 162.8. Let m = i - s. What is m rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 + 3*x**2 + 4*x + 2. What is k(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3833? (a) 0.196 (b) 4 (c) 0.5 (d) 2 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of 17*s**3\/3 - 18*s - 19. Differentiate j(g) with respect to g.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**2 - 6*l + 3. Let q be g(-6). Suppose 4*t + q*r = 40, -73 = -4*t + 3*r - 9. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1865 - -1903. Solve 2*p = 36 - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -31343023 - 2?\nAnswer: -31343025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(114))\/sqrt(2))\/((sqrt(75) - sqrt(3))*-6).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 1 + 11 + 2 + 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1470)\/15729*((-2)\/(-18))\/((-110)\/(-99))\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = 10 - 0. Suppose 3*t - x*w = -2, 7 = 5*t - 2*w + 4. Suppose -2*z = 3*m - 17, 11 - t = -2*m + 4*z. Solve -b = -5*k - 11, -3*k - 9 = -m*b - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - k = -2*d + 1, -5 = 5*k. Suppose d = -5*s + 51 - 16. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 - 6. What is the lowest common multiple of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2 + 2*g. Let x be f(2). Let c = 4 + x. Suppose 26 = c*z - 26. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.25 or -2\/110403?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 1 = 4*w, -4*j - 28 = 4*w. Let k(v) = -v**3 + 6*v**2 - 2*v + 7. What is the common denominator of k(6) and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 - 4*d + 1. Let v be n(-5). Let u be (-2)\/(-2)*(-24)\/v. Let q = u + -3. Solve q*f + 2 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -655 + 637. Which is bigger: -20 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3802*d + 66 = 3805*d - 3*g, -6*d + 4*g + 88 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that y**4\/5 + 92*y**3\/5 + 2373*y**2\/5 + 11782*y\/5 + 14792\/5 = 0.\nAnswer: -43, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - n = 170. Let p = n + 48. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*z**3 + 2*z**2 - 5*z**4 + 9 - 23 + 3 + 9 to the form q*z**2 + w*z**4 + l*z + n*z**3 + a and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 + -14.988. Let c = i - -0.338. Let f = 0.05 + c. Put f, -1, -2 in descending order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, s: 4}. Give prob of sequence ss.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 - 5*c**2 + 6*c - 4. Let u be i(-6). What are the prime factors of 18*-1*u\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53 = 54*u + 163 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 4430*z + 70. Let t be j(21). Round t to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 90 and 2664.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 99.02249 kilograms in micrograms?\nAnswer: 99022490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 4*g - 4*g. Let h(i) be the third derivative of 0 - 3*i**2 + 0*i + 1\/120*i**6 - 1\/2*i**3 + g*i**4 + 0*i**5. Differentiate h(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**2 - 355*d - 350.\nAnswer: -5*(d + 1)*(d + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -6. Suppose v*g - 12 = 2*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*h + 113 = -204 + 117 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44, 300, 728, 1328, 2100, 3044, 4160?\nAnswer: 5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -124, -112, 0 in descending order.\nAnswer: 0, -2, -112, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6024 - 6024.4. What is the fifth biggest value in 2\/15, q, -95, 5, -2\/9?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -565764 and -565764 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllpppllllll. Give prob of sequence lp.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 434088 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of j**4\/12 - 31*j**3\/6 + 155*j**2\/2 - 4*j - 6. Let o be z(25). Solve u = -4*f + 3*u - 2, o*u = -4*f + 33 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3545517 + 15?\nAnswer: -3545502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(22) - sqrt(22)*1))\/((sqrt(110) + sqrt(110) + -2*sqrt(110) + sqrt(110))\/sqrt(10)))**2 + sqrt(384)\/sqrt(48) + -5.\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2.5, 4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 184 a factor of 7728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s**7*s))\/(s**(-1\/4)*s)*(s\/s**(2\/3))**8 assuming s is positive.\nAnswer: s**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*1063757.3.\nAnswer: 2127514.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-29)*z*z**14 assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -1175439.9 to the nearest 1000.\nAnswer: -1175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/18509035 or -1?\nAnswer: 3\/18509035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide (-24)\/6*-1 + 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -500636*f + 250292*f + 250335*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1024, -1026, -1030, -1036, -1044, -1054?\n\"Answer: -n**2 + n - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v*v*v**(-6)*v))**(4\/9)*(v**(-16)*v)\/(v**0*v*v))**(1\/5) assuming v is positive.\nAnswer: v**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -t**4 - 82*t**2 + 5*t - 1.\nAnswer: -12*t**2 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 17*i + 480 - 197 - 783 = -0*p, 30 = -i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 2555 by 511.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -40 - (27 + (2 - 93))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = v, -335*v = 4*m - 330*v + 32 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - k = 0. Suppose -4*h = -k*h - 16. Let t(o) = -2*o**2. Let z(n) = -2*n**2. Determine h*t(s) - 3*z(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32489, -65050, -97629, -130226?\nAnswer: -162841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 48847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21 + 13. Suppose 0 = -3*u + 8*u - 60. Let k = z + u. Let o(i) = -4*i**2 + 3*i + 3. Let y(l) = -3*l**2 + 2*l + 2. What is k*o(c) - 6*y(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 184.835 + 75255.165. Let o = q + -75440.339795. Let c = -0.34 - o. What is c rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35.76 + 35. Let w = -545.06 + 551. Let p = w - l. Round p to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*m**3*t - 22*m**3 + 2*m**2*t + 3*m**2 + 20*m - 5*t + 8 wrt m.\nAnswer: -18*m*t - 132*m + 4*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmjjjj. Give prob of picking 3 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 153 (base 15) to base 16.\nAnswer: 12f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -15190*c = -15193*c + 4*b - 42, -c + 2*b = 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 3*q = 2*p + 15, -p + 25 = 5*q. Suppose -5*m - 25 + 155 = p. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37173644 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 765, 789, 829, 885?\n\"Answer: 8*c**2 + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -145, -604, -1375, -2458, -3853, -5560?\n\"Answer: -156*o**2 + 9*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(54) - sqrt(54)) + sqrt(54))\/sqrt(3) + (sqrt(72) + sqrt(18))*-4 + -2*2*sqrt(2) + sqrt(16)\/(sqrt(8)*-3))**2.\nAnswer: 33800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of -4\/105*x**6 + 14 - 1\/42*x**4 + 0*x**2 + 1\/14*x**5 + 3*x + 0*x**3. Factor u(d).\nAnswer: -2*d**2*(d - 1)*(4*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 172 = 2*m, -4*m = -m - 4*k - 298. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 - 2 = y + 2*c, 4*c + 56 = 4*y. Let q = -70 - -68. Calculate the smallest common multiple of y and 13 + (-4)\/(8\/q).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 - 8) + 6 + (-3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 819.761 plus 0.0250671?\nAnswer: 819.7860671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 25 = -d - 13, -4*d = -5*i - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**11)**(1\/50) assuming u is positive.\nAnswer: u**(11\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.1, -1, -15, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -175 (base 8) in base 3?\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2. Let d(b) = -194*b - 32*b**2 + 194*b. Determine p(d(k)).\nAnswer: -1024*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -5 (b) -4 (c) -69 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 255 - 254. Solve 4*t - u - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 98 - 96. Sort 2\/3, u, -1, 2\/5.\nAnswer: -1, 2\/5, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {a: 2, n: 2, e: 1, c: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8*d**2*z + 6880447*d**2 - 2*d*z**3 - 13*z**3 + 16081*z - 15 with respect to d.\nAnswer: -16*d*z + 13760894*d - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8 + (-2 - -2) + 1)*-1. Let b = c - -19. Factor -55*g + 24*g + b*g - 5*g**3 - 10*g**2.\nAnswer: -5*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from {f: 2, b: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 149\nAnswer: 3\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*h + 42*h = -190. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.413 + -240605\nAnswer: -240604.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -7*(650036\/16261 - 40)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z - 4*w + 52 = 0, 5*w + 180776 - 180801 = 0 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4648 and -0.5?\nAnswer: -0.2324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4145 + -4136. Let r(c) = -c**3 + 16*c**2 - 4*c - 17. Let j(v) = -v**3 + 15*v**2 - 4*v - 16. Let s(g) = -7*j(g) + 6*r(g). Is s(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n**2 - 20980*n - 2417701. Calculate g(-114).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -8763.\nAnswer: -1\/8763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.77? (a) -2\/7 (b) 124\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -808*t + 52473 - 52473 + 1609*t - 805*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 7*m**2 - 3*m - 2*m + 4*m. Let s(x) = x**2 - 3*x - 14. Let h be s(6). Suppose 3 = -j + h. Determine o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 6 - 14 = 0. Solve 5*s = -b + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4\/33 + 7\/33. Let -2*q + a*q**2 + 3 = 0. Calculate q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3219000 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 195 + -192. Let m be (p - 120\/(-42)) + 2\/14. Sort 3, m, -3.\nAnswer: -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 5:14 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -10, 12.\nAnswer: -10, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -3*j. Let d(m) = -m - 21. Let y be d(9). Let b be (-50)\/(-13) - y\/195. Let k(q) = 17*q + 0*q + b*q. Determine k(h(u)).\nAnswer: -63*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor a**2 - 51780*a + 6559931.\nAnswer: (a - 51653)*(a - 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 11\/4 of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 + 9. Suppose w = -2, 7*x - p*w = 2*x + 609. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(4*(sqrt(126)\/(sqrt(7)*-1) + (sqrt(2592) - sqrt(2592)*1 - sqrt(2592)) + sqrt(18)))\/(3*(sqrt(6) + -6*(sqrt(6) - sqrt(6)*2))*-2).\nAnswer: -24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 95226 and 6?\nAnswer: 95226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:25 PM and 5:31 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -198251.8406 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -165 and -0.05084?\nAnswer: 8.3886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -2\/795 (b) 0.06 (c) 2 (d) 416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.16? (a) -0.3 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(72)*-2*-1 + -2 + (-1*-6*sqrt(10)\/sqrt(5))**2)*-3.\nAnswer: -210 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 58558695 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = 3*o - 94571, 0*o = j - 4*o - 23619. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43825997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*i + 5 - 5 + 0.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 253 - 97. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (12\/5 - 2)\/((-1)\/(-5)). Let h be ((-120)\/18)\/j + 3\/9. Let s be (42\/8 + -2)\/(h\/(-12)). What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 14584, 14539, 14480, 14419, 14368, 14339, 14344?\n\"Answer: 2*c**3 - 19*c**2 - 2*c + 14603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/(-10))\/((-12)\/30). Suppose 7*t = j*t + 660. What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12211121 (base 3) to base 11.\nAnswer: -3219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of 0 + 1\/24*i**6 + 20*i**2 - 5\/12*i**5 + 35\/24*i**4 + 0*i - 5\/2*i**3. Factor y(t).\nAnswer: 5*(t - 3)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + (-5)\/(15\/(-21)). Suppose -q = 4*y - 25, l*q - 5*y - 92 = -17. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of j*k**3 + 7226*j*k**2 + 21*j*k - 2*j - 21293*k**3 + 73*k - 189 wrt k?\nAnswer: 6*j*k + 14452*j - 127758*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -857528+343135867\nAnswer: 342278339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*b**3 - 5*b - 11*b + 4*b + 6*b.\nAnswer: 2*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((((-364)\/169)\/(-28))\/(4\/(-52)))\/(1\/31)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from suususpsuqpqspsss. What is prob of sequence uquq?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -6*i**2 + 3*i - 2. What is k(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 5*p, -4*p - 56 = -6*d + 2*d. Suppose 4*w - d = 5*z - 2, -4 = -2*w. Solve 4*k - 12 = 4*x, 0*x + 5*x - k + 3 = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-105)*-5)\/(-3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 454673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7193*h*l**3*o**5 + 17*h*l**3*o - 2*h*l**2*o - 40*h*l*o**3 + 2*h*l + 2*l**3 + l**2*o + 581*o wrt o?\nAnswer: 143860*h*l**3*o**3 - 240*h*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3870784.\nAnswer: 2, 31, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 354, 639, 926, 1215, 1506, 1799, 2094?\n\"Answer: l**2 + 282*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 13 = -0*t - a, -40 = -5*t + 4*a. Suppose t*b - 96 = -4*j, 3*j - 4*j - 2 = 0. What is the remainder when 71 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*r - 21 = -3*t + 27, 13*t - r = 15*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4*sqrt(51)\/sqrt(3) + sqrt(17) + -2 + 5).\nAnswer: -6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 349 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 52 (base 6) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2983 and 11575296.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102 + 220?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 924997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and -54142.\nAnswer: 16242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -24186, -0.4, 5\/2, 0.3, 3, -216?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d + 130*d**2 + 6928 - d - 6954 - 135*d**2 - 2*d**3 to the form n*d + s*d**3 + l*d**2 + q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9 + (-15)\/3 + 2. Suppose -g = 3*h - 6*h. What is the smallest common multiple of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10499, 21094, 31741, 42464, 53287?\nAnswer: 64234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 904721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of -v**3\/6 + 13*v**2\/2 + v. What is the units digit of a(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -17 - -11. What is the least common multiple of (-63)\/(-27) - (-2)\/a and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -61 + -376?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 53 - 52.92. Is 1\/3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3040, -1\/6, -6, -2 in decreasing order.\nAnswer: -1\/6, -2, -6, -3040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 838298.762 to the nearest 10.\nAnswer: 838300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1644 + 1622 + 4 + 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 5 = -2*d. Solve -d*c = -0 - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (39\/18)\/((-130)\/780).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 899 + -596. Let c = x - 282. What is the greatest common factor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 21*m + 1. Let x(t) be the second derivative of -t**3\/6 + 792*t - 1. What is o(x(z))?\nAnswer: -21*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128) - sqrt(128)*-2)*-1.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -46?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 906535307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -25 - -19. Let j be 4 + -2 + b*(-6)\/9. Let v be ((-3)\/j)\/((-2)\/8). Solve v*d - 2 = -3*k - 2*d, 4*k = -d - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1094210452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-315)\/12)\/(-35)*(-2)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1050 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -65553265 (base 7) to base 4\nAnswer: -111131231131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 6, k: 1, u: 1, p: 1, f: 1, v: 1}. What is prob of picking 1 j, 1 f, and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u + u + 3*u**3)*(3 + 3 + 1)*(-2 + 3 + 0)*(2*u**2 - 4 + 4).\nAnswer: 42*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14274.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 + -24*(1 - 2). Suppose -n = -2*j + w, j - 28 = -3*j - 4*n. Suppose 0 = g - 0*g - j. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 6, 117, 274, 465, 678, 901?\n\"Answer: -2*a**3 + 35*a**2 + 20*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 319*y - 85*y + 273*y - 459*y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/15, 0.03, -2.1, -2, -2\/9 in descending order.\nAnswer: 0.03, -2\/15, -2\/9, -2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of -t**5\/60 + 6*t**2. Let c(f) = -2*f. Determine q(c(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 2*n**2 + 5*n - 3. Suppose 0 = s - 3. Does 15 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 5*o**5\/8 - 3*o**4\/4 - 9*o**3\/8 + o**2\/4 = 0.\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes after 10:57 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -54 + 809\/15. Let z be 30\/(-48) - 9\/24. Is x < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (156 - 70*l - 156)*(1 - 2*l - 1) as y*l + q*l**2 + m and give q.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 8*k - 4. Are -9 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 857*p**2 + 82134*p - 82131*p + 1 in the form b*p**2 + x*p + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28265, -56591, -85051, -113723, -142685, -172015, -201791, -232091?\nAnswer: -262993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1674930622.\nAnswer: 2, 97, 8633663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000259369906 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 16 = -h, 3*h - 6*h - 2*p - 8 = 0. Suppose h*b + y + 9 = 5*b, -5*y = 20. What is the nearest to b in 1\/2, 1.2, -2\/5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(448\/(-8))*-35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 659 - 659 + 25*j**2.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 10010101111011000101111 (base 2) in base 4?\nAnswer: 102233120233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 + 31 = -20*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.04 (b) -3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4978839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**2 - 29*n - 489. Let x be q(-12). Let v(p) be the first derivative of 0*p + 1\/2*p**6 - 17 + 45\/4*p**4 - 9*p**x + 0*p**2 - 21\/5*p**5. Factor v(s).\nAnswer: 3*s**2*(s - 3)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -45905 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 2*k + 2*x + 4, x + 5 = 0. Factor -31*w**k + 2*w**4 - 3*w**3 + w**4 + 28*w**2 + 3*w.\nAnswer: 3*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5 - (-2)\/1) + 39. Let m(c) = 36*c + c**2 - d*c + 0*c**2. Let k(t) = 4*t**2. Determine k(m(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 155665903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 320*f = 312*f + 144. Sort -1, -3, f, 3 in increasing order.\nAnswer: -3, -1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 4*h + 5 + 23, 2*i - 2 = h. Suppose 2*p - i*j - 12 = -2*j, 4 = -j. Calculate the common denominator of -51\/4 and 2\/p + (-52)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4780608)\/(-63) + 30\/(-45).\nAnswer: 2, 3, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.2 + 0.2. Let x = 595.4 - 621.4. Is f smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2f63fcf + 1?\nAnswer: -2f63fce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*(-5 + 1) + 7\/(4543\/(-15517)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 - (-6 - (2 + (-1 - (0 + 2)))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 476 + 1624 = 0. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(153) + sqrt(153) + -3 - (sqrt(153) + -2*sqrt(153)*-6))**2 + (1 + sqrt(153))**2*5 + 2.\nAnswer: 360*sqrt(17) + 19310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g - 8 + 8)*(-1 - g**4 + 1)*(5 + 0 - 2).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 218815 and 4815?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = -183 + 135. Calculate the lowest common multiple of 30 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 11*k + 3. Let q be h(-2). Let y = 61 + q. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 22 = 2*q, -l = 2*q + l - 2. Find the third derivative of -4*f**5 + 10*f**q + f**2 + 3*f**2 wrt f.\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 599286860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pool when four letters picked without replacement from pophpqpuopqlq?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x + 4*x**2 + 0*x + 29*x**3 - 26*x**3 as q + u*x**3 + a*x**2 + f*x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = -1\/2127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eb when two letters picked without replacement from {k: 6, h: 3, b: 1, d: 2, e: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -6\/11, -0.1, -0.8, -0.01, -78, 0.04?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (90\/(-9))\/10 + 4. Let p(u) = u - 5. Let c(m) = -3*m + 14. Suppose 3 = -3*z + 27. Give i*c(a) + z*p(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(-6)*(66\/(-110))\/(9\/(-84)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 2 = -4*m - 1, 3*m = -2*z. Calculate the lowest common multiple of z and 6\/(-15) - -61*(-6)\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i + 16. What is the remainder when 1 is divided by f(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -85, -33, 5, -3 in decreasing order.\nAnswer: 5, 0, -3, -33, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.534312 * 1.5.\nAnswer: -2.301468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (1*(-5*sqrt(637) + sqrt(637)))**2 + 0)*5.\nAnswer: 50985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 150.36 + -150. Let h = i - 3.36. Put 1\/7, 1\/10, 0.4, h in decreasing order.\nAnswer: 0.4, 1\/7, 1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-43)\/(-2))\/(6\/(-12)). Let t = -34 - m. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 13274*u**3 + 14929*u**3.\nAnswer: 1655*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -583264449219 and 4?\nAnswer: 583264449223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -650 - -678. Suppose -23*y = -21*y - 476. Calculate the highest common divisor of y and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9795 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-2) - (87\/(-6) + 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 50274 or 50273?\nAnswer: 50274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 169306 = -2396*t + 35130 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of 4*x**3\/3 - 19*x**2 + 102*x + 6. Let l(a) = -20*a**2 + 189*a - 511. Let h(q) = 2*l(q) + 11*y(q). Solve h(j) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 20 = 2*x, -x + 92 = 33*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (32416\/(-8))\/(-4) - 7.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -3*j. Let m(n) = 259*n. Let r(d) = 13*d. Let h(a) = -6*m(a) + 119*r(a). What is h(k(v))?\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 159 - 130. Suppose -x + 3*x + 20 = 0. Let f = x + p. What is the greatest common factor of 209 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of -1739*v**4\/4 + 10*v**3\/3 + 119*v**2\/2 - 2644. What is the third derivative of o(a) wrt a?\nAnswer: -10434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 186932 and 1258.\nAnswer: 6916484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -33.04 - -0.04. Let i = -17 - k. Let p = i + -17.5. Do p and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 4\/5 (b) 0 (c) 20 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-4*(2 + sqrt(2880)).\nAnswer: -384*sqrt(5) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1a743 (base 12) to base 4\nAnswer: 21202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from znpppdpwzdnpf. Give prob of sequence zdw.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 38600057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 1695*b - 344*b + 542*b + 1933*b in the form w + y*b and give y.\nAnswer: 3826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (13\/39)\/(11\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.386 rounded to 2 dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 AM and 1:36 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/20 and 56\/12 + -3 + (-2 - (-1290)\/1512)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/36 and 145\/4007052.\nAnswer: 4007052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -5*i - 94. Let x(k) = 36*k + 660. Let m(f) = 15*o(f) + 2*x(f). Let g be m(-30). Put -6, g, 4, -2 in decreasing order.\nAnswer: 4, g, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89112.99ml in litres?\nAnswer: 89.11299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 5*y, 0*f = -4*y - 5*f - 9. Let c = y + 7. What is the remainder when 21 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a + 32. What is the remainder when 30 is divided by l(-16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + h + 3. Calculate r(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express s + 55 - 435*s**3 - 231*s**3 + 2*s**2 + 2*s**2 - 55 as q*s**2 + t*s + v + l*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -10136528, -20273064, -30409600?\n\"Answer: -10136536*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(17) + 3)*-4.\nAnswer: -20 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 20723*x**2 - 16735*x - 49. Let f(i) = -5179*i**2 + 4184*i + 11. Let s(j) = 9*f(j) + 2*r(j). What is the second derivative of s(m) wrt m?\nAnswer: -10330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -q**3 - 258*q - 4474 + 228*q + 4399 to the form v*q**3 + w + j*q**2 + o*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 53 + 2?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 3139\/21 (c) 1\/2 (d) 1\/6 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - -167?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2312 (base 5) in base 12?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -96a57 (base 13) to base 12\nAnswer: -1114a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-8995)\/196)\/(-5) + 9416\/308 + -31\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13\/3 in -10\/9, 1, 0, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of 2*a**3\/15 + 8*a**2\/5 + 32*a\/5 - 4. Factor s(w).\nAnswer: 2*(w + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 + 6*f**2 - 4*f + 4. Let q be y(5). Let k be 2\/18 + 2\/q. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -11254 + 2134?\nAnswer: -7120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3263381743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6006 is divided by 200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -0.001099 and 3.\nAnswer: 2.998901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d + 30. Let k be g(20). Let a(s) be the third derivative of 0 + 0*s**3 + 1\/30*s**5 - k*s**2 + 0*s**4 + 0*s. Let y(c) = -2*c**2. What is a(y(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mhlehhlh. What is prob of picking 1 h and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2863 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**2 - 11*t + 11. Let o be g(10). Suppose -n - n = -2. Let b be (4 + -5)*(n + 0). Sort o, 1\/3, b in ascending order.\nAnswer: b, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -41, -81, -157, -275, -441?\n\"Answer: -y**3 - 12*y**2 + 3*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -181, -183, -185, -187, -189, -191?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/6*6 - -25. Suppose x*g - 301 = 2777. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 243? (a) -2 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0*(-3)\/48*-4. Suppose 2*p = -q*p + 4. Suppose -3*y - 31 = 5*s, 0 = 2*y + 3*y + s + 15. Sort y, 8, p in increasing order.\nAnswer: y, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-130)\/(-25))\/(136010\/13600 - 10)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 27 - 24. Suppose 2*p + 4 = 0, j*z - 25 = -p + 117. Let f be (z\/20)\/(4\/10). Solve -2*w + 6 = -4*w + u, 2*w = 4*u - f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 + x**2 - 2*x + 2. Let f(w) = -5*w**5 + 10*w**4 + 36*w**3 - 46*w**2 - 13*w + 18. Let a(n) = -f(n) - 6*k(n). What is h in a(h) = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.012381242993 rounded to five dps?\nAnswer: 0.01238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 2*n**2 - 4*n + 4. Let d(b) = 8*b**2 - 15*b + 16. Let s(i) = -9*c(i) + 2*d(i). Let s(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -3 + 7 + 176*p**2 - 8 + 8 + 0. Let g(c) = -2*c**2. Calculate g(y(r)).\nAnswer: -61952*r**4 - 2816*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.25 + 11.25. Let h = -5 + 15. Let y = u - h. Is 0.3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10806 - 4514 - 5986 + 2682 - 5105)*(-1 + 1 + 2*g).\nAnswer: -47458*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/3 - 20*i\/3 + 12.\nAnswer: (i - 18)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19581 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*-1 - 2 - (-21752)\/1938. Let z = u - 138\/19. Which is greater: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3, -0.1, -4461, 2\/7, -22, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 365 = 5*m - 5*j, -5*m + 124 = -4*j - 245. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 21? (a) 7.77 (b) -2\/831 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the second derivative of z**4\/15 - 5192*z**3\/15 + 3369608*z**2\/5 + 895*z. Determine i so that j(i) = 0.\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -130, -2, 5.\nAnswer: -130, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 4)*(k - 4 + 4)*(-2 + 0 + 1) + 0*k - 3*k - k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4445243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 + 2*i + 1. Let y(m) = -3*m**2 - 13*m - 167. Let k(q) = -5*d(q) - y(q). Differentiate k(u) with respect to u.\nAnswer: -4*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 - 0. Let v(b) = -9*b**3 + 3*b**2 + 18*b + 12. Let s be (-15 + 17)\/((-1)\/6). Let z(r) = r**3 - r**2 - r - 1. Let h(l) = s*z(l) + w*v(l). Factor h(n).\nAnswer: -3*n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 1, 21, 16.\nAnswer: -5, 1, 2, 16, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/8 - (-117)\/72. Let q(g) = 2*g**2 - 6. Let c be q(a). Calculate the least common multiple of 10 and (-35)\/5*(-2)\/c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*z**3 - 199 - 2*z**2 + 14*z**3 + 245 + 11*z to l*z**3 + f*z + y*z**2 + h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1662 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2200, 2198, 2196, 2194, 2192?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:13 AM and 5:40 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -7459 = -626*p - 63*p + 15278 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -31\/4*d**4 - 3\/2*d**5 + 0 - 8*d**2 - d - 53\/4*d**3 = 0.\nAnswer: -2, -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -3, 7, -7700 in ascending order.\nAnswer: -7700, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -a**2*t**2 + 11*a**2*t*v + 3*a**2*v**2 - 2*a*t**2*v**2 + 53*a*t*v**2 + 2*t**2*v wrt a.\nAnswer: -2*t**2 + 22*t*v + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 3*u**3 - 33*u**2 + 187*u - 240. Let s(d) = -d**3 + 16*d**2 - 94*d + 120. Let i(x) = 6*l(x) + 13*s(x). Suppose i(b) = 0. Calculate b.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 + p - 34. Let k be g(5). Is (23376\/k)\/((-2)\/(-76)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 467, 452, 425, 380, 311, 212, 77?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3015437311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange x - 23*x**3 - 161*x**4 + 54*x**3 - 27*x**3 + 155*x**4 - 78 to p*x**4 + v*x**2 + a*x**3 + k + b*x and give k.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 2 o when four letters picked without replacement from ooooovoov.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12376206, 24752410, 37128614, 49504818, 61881022, 74257226?\nAnswer: 86633430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-39)\/(((-7)\/(49\/3))\/(10\/(-35)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gmgiggimm. What is prob of picking 3 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 4 - 4)*(21 + 29*y - 21).\nAnswer: 145*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - -4. Let m be (1 + -6)*((-36)\/10 + o). Does 4 divide 32 + (-3)\/m*(-8)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 9*g - 264. Suppose -5*j + j = -16, 3*m = 5*j + g. Solve 0*b = -5*b + 5*o + 15, -m = -2*b + 4*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -52981556 by 106.\nAnswer: -499826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -10\/11*w**3 + 6\/11*w**2 - 6\/11*w**4 + 2\/11*w**5 + 8\/11*w + 0 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 5:45 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 + 0)*(4 - t - 4)*(1 - 2 + 0) + (202 + 11*t - 202)*(3 + 2 + 22 + (-2 + 2 + 1)*(1 + 0 - 3)).\nAnswer: 278*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((1*sqrt(128)*-6 + -2 + 0 + 2 + sqrt(128)*-3)*-3)**2.\nAnswer: -186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -176161778*i**2*y**2 + i**2*y + 35*i**2 - 6789619*i wrt y?\nAnswer: -352323556*i**2*y + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 4*((-1 - -1) + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = -78*o + 80*o. What is the remainder when 283 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 7, d: 4, m: 4, t: 1, h: 3}. What is prob of sequence tmhd?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -460 - 486 + 3052*m + 947.\nAnswer: 3052*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 0. Let v(t) = -t. Let w be v(-1). Let u be 92\/69*w\/4. What is the biggest value in c, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5561 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 4*g - 30672, 5*h + 15*g = 16*g + 38310. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of -c**6\/24 - 2*c**3\/3 + c. Let b(m) be the second derivative of l(m). Let z(v) = -2*v. Give z(b(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 12150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.3 - 2.3. Let n = -2.15 - b. What is n rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w - 9 - 11 = 0. Let h = w + 3. Put -4, 2, -2, h in descending order.\nAnswer: 2, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 786 - 776. What is the common denominator of 23\/130 and ((-6)\/h - 0)*(-3293)\/(-1776)?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -103.889 - -104. Let r = i - 0.011. What is the third biggest value in 2, -1\/8, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1523 and -36.\nAnswer: 54828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -43566.885 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 175.9572 - 105456865\nAnswer: -105456689.0428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 AM and 9:12 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.30027 + 1.3. Round f to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7e063c (base 15) to base 12.\nAnswer: 2027186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -366 <= 523.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, f: 9}. What is prob of picking 2 f and 1 x?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -277, -1134, -2563, -4564, -7137, -10282, -13999?\nAnswer: -18288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -73 + 81. Let o(w) = 15*w - 4. Let k be o(4). Let s = k + -33. What is the remainder when s is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 54087 and 20933.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 224681*f + 449150. Calculate t(-2).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 215658779551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of -11*f**5\/80 + 17*f**4\/96 - f**3\/12 + 8*f**2 + 3*f + 23. Let p(d) be the second derivative of r(d). Factor p(i).\nAnswer: -(3*i - 1)*(11*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000280469 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 71\/13 (b) -0.4 (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 20*g + 2 - 450*g**2 + 454*g**2 - 6*g**3 + 10. Let f(q) = -q**3. Suppose 5*a - 22 = 3*w, -w = 3*a - 0*w - 2. Let n(p) = a*f(p) - b(p). Factor n(d).\nAnswer: 4*(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of -q**4\/4 - q**3\/3 + 5*q - 4. Let r be w(0). Let b(m) = 2*m - r*m + 2*m + 4*m. Let s(g) = -g. Determine s(b(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 8*d + 7. Let f(o) = o + 1. Let a(t) = 14*f(t) - 2*j(t). Let m(y) = 4*y**2. Calculate a(m(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3700 is divided by 912.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 339279728?\nAnswer: 2, 877, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 2*k - 2*z - 86187, 5*z + 28742 = k. List the prime factors of k.\nAnswer: 23, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -232034*t + 116080*t + 115689*t.\nAnswer: -265*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 191760 = -141*a + 198810 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 9, j: 2, d: 2}. What is prob of picking 1 d and 3 f?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/(-2))\/((261\/2808)\/(-29)). What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -56*f**4 + 34652*f**3 - 230760*f**2 - 1101600*f = 0?\nAnswer: -45\/14, 0, 10, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -531 divided by 2?\nAnswer: -531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 - -3fc?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 160 times -781?\nAnswer: -124960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8\/(-24) - 10\/(-3). Suppose -5*q = s*c - 12, 2 + 13 = c - 2*q. Let p(m) = 12*m. Let w be p(6). Calculate the highest common divisor of c and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 4*t. Let u be x(2). Suppose -2*v - 2 + u = 0. Suppose 0 = -v*b + 32 + 403. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1198833 is divided by 1198746?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zb when two letters picked without replacement from bmzzmzmtmtmbbmmm?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -3 - n + 3 + 0. Let r(x) = 12*x**2. Determine o(r(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -100, 3, -73, 121 in descending order.\nAnswer: 121, 3, -73, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*f**(-9)*f*(f\/f**13)\/f assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4472454 is divided by 288.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.044399 from -114.\nAnswer: -114.044399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s**3 + 409*s**2 + 116*s - 2726. Determine i(-136).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 AM and 9:50 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/7*10\/(-40)*28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 3 + m**3 + 0*m**2 - m - 5*m**2 + 5*m. What are the prime factors of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2872 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 - -10101111011001111000010110?\nAnswer: 10101111011001111000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 533 and 14096497?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20\/(-15))\/(15\/9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2776, 5584, 8394, 11206, 14020?\nAnswer: 16836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 AM and 8:08 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -7553, -15106, -22663, -30224, -37789, -45358, -52931?\n\"Answer: -2*g**2 - 7547*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 716 divide 15094712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -3*n + 7 + 7*n - n**2 - 3. Calculate c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 9\/(-18) - (-2)\/4. Suppose j = 5*p - 0*p - 100. Let y be 324\/p + 1\/(-5). What is the greatest common divisor of 40 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 (base 9) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -55a + -543?\nAnswer: -aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -34 (b) 67 (c) 243 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 + 1)*(-2 + 2 + 2)*(-16*a + 5*a + 6*a) + (1 - 2 + 2)*(-3*a + a + 4*a).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -v**2\/7 + 332*v\/7 - 27556\/7 = 0. What is v?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sdy when three letters picked without replacement from snhcnndycssh.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10848*h**2 + 92323*h?\nAnswer: -21696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2024696, -4049393, -6074090, -8098787, -10123484, -12148181?\n\"Answer: -2024697*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6600 = 4*d - 28*d. Solve 40*b + d = -5 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 18*m - 37872 - 11824. Calculate the greatest common factor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -58*w**2 + 2*w + 3. Let n(j) = -114*j**2 + 3*j + 5. Determine 3*n(d) - 5*q(d).\nAnswer: -52*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(42*(-3)\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - 582925a?\nAnswer: -582925b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8733 + 15096. Suppose 11*c + n = 32*c. List the prime factors of c.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 358.1 + -356. Let o = 0 + 2.6. Let x = o - v. Round x to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, -7 in decreasing order.\nAnswer: 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-62)\/184 - (-152)\/(-2185)*85\/(-68)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1171*x = -1168*x + 13*u - 182, 3*x + 4*u = 137 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 27\/6 + (-3)\/6. Suppose -2*z - o = -12. Solve 0 = 2*p + 4, -8*p = 2*c - z*p + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3267802*a**2 - 12*a + 25149?\nAnswer: 6535604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q - 8*q + 2*a = -26, -3*a + 15 = 0. Solve 16*g = 7*g - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = 5*g + 2*r - 2, 1 = -5*g + r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4*x + 1. Give r(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 42856638 - -49.\nAnswer: 42856687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 minus -887763?\nAnswer: 887763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5360 - -10069. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 6*h**2 - 16*h. Let q(g) = -g**2 + 3*g. Let b(f) = -11*q(f) - 2*x(f). Solve b(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 41669205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6.3973 and 2.\nAnswer: -12.7946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -23? (a) -0.5 (b) -0.4 (c) -2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 - 26 = c + 4*s, -c + 5*s + 59 = 0. Suppose 4*p - c = -10. Suppose -527 = p*q - 2958. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150442*g + 50139*g + 50148*g + 50138*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20695*w - 20695*w + 0*w**2 + 6261*w**3 + 0*w**2.\nAnswer: 6261*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1542030 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 69\/2 of a milligram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*g**3 + 18*g**3 + 13*g**3 + 8*g**3 - g**2.\nAnswer: -14*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/370 and 97\/40?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(143)*-1 - sqrt(143)) + (sqrt(143) + sqrt(143)*-1)*3)\/((-1*sqrt(22)*1)\/sqrt(2)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 11*m - 8*m. Let r = m - -10. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 5213, -16.\nAnswer: -16, 1, 5213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 121 - 849\/7. Let o = -0.06 + -10.94. Let t = o - -8. Which is the second biggest value? (a) t (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 157365 and 2317185?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-5 + (sqrt(242)*3 + 2 - (-3 + sqrt(242) + 1)**2))*-3*4.\nAnswer: -1848*sqrt(2) + 5976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + -3. Let x = -4 - p. Solve -x*s - k - 2 = 3, -3 = -k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 345*(-63)\/9450*(-10)\/1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/324 and 131\/177804.\nAnswer: 1600236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 88 = 31*d, 11*k - 14*k + 20 = k - 4*d for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 46, 397, 962, 1741, 2734, 3941, 5362?\nAnswer: 6997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - 0. Let v be -5*(-10)\/(-175)*7\/10. What is the closest to n in v, 1, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of -i**5\/60 + 3*i**4\/8 + 5*i**3\/6 - 2*i**2. Let r = 13 - 6. Is h(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 - 17*x**2 - 15*x - 23. Let n be v(-13). Let q = n - 196. What is q rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 + 10*o**2 - 12*o + 16. Let a be d(9). Let g(i) = 6*i - 3. Let k = -10 + 6. Let m(c) = -17*c + 9. Determine a*g(v) + k*m(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h**5 - 45*h**4 - 155*h**3 + 485*h**2 + 150*h - 440 = 0 for h.\nAnswer: -4, -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o - 1. Let k(g) = 2*g**2 + 5*g - 1. Let r(v) = k(v) - 6*w(v). Let a be r(-5). Let i be 4 + a - 9\/(18\/(-8)). Solve 0 = -2*b + i - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (217*a - 113*a - 110*a - 2)*(-2*a**2 + 0*a**2 + 3*a**2).\nAnswer: -6*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 518014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (128\/(-72))\/(42\/189).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - -50001?\nAnswer: 49998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, 30, 6 in decreasing order.\nAnswer: 30, 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 - 6*j**2 + 4. Let t(n) = 2*n - 2. Let o be t(4). Let v be z(o). Suppose -v*k = k. Solve k = -3*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 120 and 22332360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 3*g**4 - 8577*g**3 + 3550005*g**2 + 25340289*g - 28881720 = 0.\nAnswer: -8, 1, 511, 2355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 1 - (4 - -2 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -959, -1912, -2865, -3818, -4771?\n\"Answer: -953*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158 is divided by 87.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 19832 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24 - -49. Suppose 13*k = 8*k - s. Let j(b) = b**3 + b**2 - b - 2. Let m be j(-2). Sort 4\/5, k, m.\nAnswer: k, m, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -c7 (base 13) to base 8\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.05 - 0.95. Let s be 3\/(-10)*8\/6. Which is the closest to g? (a) 1\/4 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -19*d**2 + 7*d - 10. Let t(i) = 41*i**2 - 15*i + 21. Let n(o) = -13*s(o) - 6*t(o). What is n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -174 - -252. Calculate the remainder when 309 is divided by d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 748433 is divided by 810.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = 271*m - 292*m. Let z(y) = -1 + 1 - 2 + y. Calculate z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 10 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 292.9539 hours to microseconds.\nAnswer: 1054634040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3640173 not equal to 3640173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is 40050 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 426*i**3 - 446*i**2 - 2536*i + 120 = 0.\nAnswer: -2, 10\/213, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 223 a factor of 781841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -6*z**2 - 59*z**3 + 180*z**3 + 7*z - 61*z**3 - 61*z**3 - 13. Let j = -19 + 11. What are the prime factors of y(j)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 180 is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of -1\/7*a**4 + 0*a + 2\/35*a**5 - 2 + 2\/21*a**3 + 0*a**2. Factor s(f).\nAnswer: 2*f**2*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 69.068 + -90.12. Let w = -379 + 379.048. Let g = w - d. What is g rounded to 0 decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.94 - 2.940233. What is h rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -70*s + 75*s - 31, -4*s = -4*r - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -11861 (base 9) to base 16\nAnswer: -1f39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 10\/3*(-6)\/(-4). Let v = g + 17. What is the smallest common multiple of 12*3\/(18\/4) and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 6*h + 13 - 12 - 2*h + 4*h. Let p(g) = -23*g - 5. Let w(d) = 2*p(d) + 4*r(d). What is the first derivative of w(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10309 + 11290. What is the remainder when 1967 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.72? (a) 0.3 (b) -1\/2 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of h**7\/2520 + h**6\/240 - h**5\/120 - h**4\/8 - h**3\/2 + 28*h**2. Let p(j) be the second derivative of i(j). Calculate p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239239 is divided by 550.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -23\/35 - 59\/70. Let k = 7 - 15\/2. What is the third smallest value in k, 3, m, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 11:39 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 1 = 17. Suppose 0 = -x*q + 5*q - 162. Suppose q + 43 = 4*d. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 2*q**2 + 3*q + 7. Let d(w) = 2*w - 17. Let u be d(7). Calculate the remainder when o(u) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -18 + -24 + 71 + -37 + 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-24) + 91\/84. Calculate the remainder when 40 is divided by (5*4\/30)\/(u\/36).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 10*d**3 - d**2 + 1. Give h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -10293374 by -1.\nAnswer: 10293374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -35 + 5 + 28 + 3*z. Let g(s) = 181*s - 101. Let r(o) = -5*b(o) - g(o). Differentiate r(f) with respect to f.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, -1\/2, -42\/17, 1.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -21, 2.\nAnswer: -21, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 112323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i + 12*i = 0. Suppose -34*x + 1174055 - 358837 = i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d**4\/4 - 37*d**3\/2 + 1369*d**2\/4 = 0. What is d?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -6.76. Let u = -10.24 + l. Let t = 7 + u. What is the biggest value in t, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19149567 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -14 (b) 34 (c) -4 (d) 1\/5 (e) 0.086 (f) 1.5 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 2*n + 2, -n + 3*x = 4 - 3. Let k be 0*(1\/(-4))\/((-16)\/32). Sort 3, -6, n, k in ascending order.\nAnswer: -6, n, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pwwpwwwwwwwwpwwpwwp. Give prob of picking 3 p and 1 w.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 6521 by 385.\nAnswer: 6521\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 4*n - 280. Suppose -n = -10*y + 5*y. What is the smallest common multiple of 76 and y?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the third derivative of -b**5\/180 - 43*b**4\/18 - 3698*b**3\/9 + 5650*b**2. Let f(s) = 0. What is s?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37542 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (490\/210)\/(21\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -178457.22539 - 10\nAnswer: -178467.22539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1444866 divided by 240811?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 6*v + 2*j - 194, -4*v + 199 = j. Let a(w) = w + 7. Let d be a(6). Let u = 21 + d. Calculate the highest common factor of v and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3.215, -0.3, -1, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/648 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of (20\/(-45)*-6 + -2)*1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.645*366754\nAnswer: 603310.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*s + 175 - 231. Sort -71, 1, s, 0 in decreasing order.\nAnswer: s, 1, 0, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*k - 148 = 2*r - 30, -r + 5*k + 71 - 94 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 2*v - 5*u = 115, -4*u + 10 = -v. Let p = v - -40. Let g = p - -22. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -25496 divided by -76\nAnswer: 6374\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -166 + 185 + (-9 - -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3\/9 + 68*g**2\/9 - 2354*g\/9 - 2420\/9.\nAnswer: 2*(g - 22)*(g + 1)*(g + 55)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 218165228 by -54541307.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -439 + 443. Suppose 2*g = -r + 1, -m*r - 9 = -5*g - 0*g. Solve 5*i = -3*s + 31, -i + 2*s = -s + g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 10, 276, 4, 43 in increasing order.\nAnswer: 2, 4, 10, 43, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(504)\/(sqrt(24)\/sqrt(2)*1))\/(-5*sqrt(36)\/(sqrt(18)\/sqrt(3))))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -22 + 18. Let p = 0 - f. Suppose p + 60 = t - 5*n, 3*t = n + 122. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 430 + -427. Suppose -z + 6 = -w, 4*w = 2*z - 0*w - 20. Let a(l) = l**2 - 5*l + 8. Let h be a(4). Sort f, z, h.\nAnswer: z, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o**3 - 20*o**2 + 13. Let v be n(10). Suppose 4*f - 5 + v = -p, 4*f + 40 = -3*p. Are p and -12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand 9*m + 2*m + 7*m + 2*m + 0*m + m + (3 + 4 - 3)*(-4 - 2*m + 4).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2566983003.\nAnswer: 3, 13, 37, 1778921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 390, 3654, 12640, 30210, 59226, 102550, 163044?\n\"Answer: 477*p**3 - p**2 - 72*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 - 4*f + 4. Let t be r(4). Suppose -t*c + 251 = -0*d + 3*d, -5*d + 320 = 5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -19084929, -38169900, -57254871, -76339842?\n\"Answer: -19084971*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 33991 - 305917\/9. What is the second biggest value in 9\/2, g, 2, 41?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000034909 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 20 - 5. Let y = 8 - r. Solve v - 4*k + y = 0, -k - 4*k = v - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1244 - 12559\/10. Let s = -30089\/6 - -4992. Find the common denominator of s and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hdd when three letters picked without replacement from {f: 3, h: 3, d: 4, e: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add -0.07 and -4897.\nAnswer: -4897.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 638785199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8891301*b - 17*b**2 - 4445649*b - 4445652*b.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 15500 (base 6) in base 14?\nAnswer: d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of f**5\/40 - 17*f**4\/24 + 31*f**3\/12 - 15*f**2\/4 - 108*f. Let q(x) = 0. Calculate x.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pta when three letters picked without replacement from {t: 1, n: 2, p: 1, a: 2, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.03 + -4.97. What is the nearest to -1 in z, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5253884 to the nearest integer?\nAnswer: 2292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 246 = 5*n - 5*u - 2684, -4*n + u = -2335. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/19 in 3619, -2\/69, 3?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 40548401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 52 + -59.3. Let z = w - -7. Which is the nearest to 1? (a) z (b) 1\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.28 and -262917241364?\nAnswer: 262917241364.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(76) + (3*sqrt(76) + sqrt(76))*-4)**2.\nAnswer: 85500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*2*sqrt(200) - (4 + 1*sqrt(162)).\nAnswer: -89*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 35\/(-14) + 273521\/42. Let g = -6513 + t. Find the common denominator of 44\/9 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -8*p**2 - 223*p + 2282. Calculate o(10).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 998038312 to the power of 1\/2, to the nearest integer?\nAnswer: 31592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -48, -52, -56, -60, -64, -68?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 272 divide 106075376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1150301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**9*d**(-5))\/(d**2*d*d*d*d)**(-33)*(d\/d**(-2\/23)*d**(1\/6))**(-2\/15) assuming d is positive.\nAnswer: d**(208897\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10021 - -2122111122021?\nAnswer: 2122111112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21*n**2 + 20*n**2 + 57*n**2 - 3 + 4 to the form r*n**2 + l*n + b and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - -12. Let d = -5 + l. Suppose 0 = u - 2, -67 = -3*h - d*u. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17590, -35170, -52748, -70324, -87898?\nAnswer: -105470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2748, -5457, -8166, -10875?\n\"Answer: -2709*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 - 5*z**2 + 3*z - 2. Let y be 1 + (-8)\/(4 + -2). Let v be (-6)\/(-18) - (-22)\/y. Let h = 9 + v. Determine n(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -9*x**2 + 7. Suppose -9*z + z = -40. Let i(p) = -14*p**2 + 11. Calculate z*i(m) - 8*o(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -0.3 (b) 227815\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 49 - 47. Suppose 0 = -2*i - 2*i + a*k + 12958, 0 = -2*i - 2*k + 6482. Is (4 + -2)\/(i\/(-1623) - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the second derivative of -d**4\/6 + 3*d. Let h(m) be the first derivative of 2*m**3\/3 - 5. What is p(h(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -5*m - 2*y + 7*y, 6 = 3*y. Let i(t) = -m*t - 2 - 4*t - 1 - 7*t. Calculate the remainder when i(-2) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 999, 1221, 1443, 1665, 1887?\n\"Answer: 222*y + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11011110110220 (base 3) in base 12?\nAnswer: 8a9020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**3 + 47*d**2 + 102*d - 153. What is y(49)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 6*n + 854. Suppose 4*p = -3*p + n. What is the remainder when p is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -58.5678 and 0.02.\nAnswer: -58.5478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 8) + -3 - -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -58\/33 and -7\/87.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -151952 - -252781. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 2*y + 329, -5*y = -2*t - y + 198. Suppose u - t = -0*u. Suppose 8 = -3*p + u. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6827*r**3*w**3 - 46*r**3*w + 22*r**3 - 988*r*w**4 - 84*r*w - 4*r + 4 wrt w?\nAnswer: 40962*r**3*w - 11856*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -83780b3 + 5?\nAnswer: -83780aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 20166 + -13798. Suppose 7*m - 1171 = r. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -10 * 2.47.\nAnswer: -24.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 21 and -146?\nAnswer: -3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of 0*h**3 - h - 1\/48*h**6 + 0 + 1\/20*h**5 + 0*h**2 + 1\/336*h**7 - 1\/24*h**4. Solve y(j) = 0 for j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80*o + 8809001 = 1641001. What is o rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 58738945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 5:52 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/12597 and 67\/104.\nAnswer: 100776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are 338412 and 338413 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19551\/8 - 2439. Suppose -4*i + 3*z - 18 = 0, -i + z + 2*z - 9 = 0. Calculate the common denominator of (20\/(-36))\/(i\/((-30)\/4)) and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccqcccrccccc?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 369, 1034, 1383, 798, -1339?\nAnswer: -5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**3 - 22*x**2 - 4*x + 6. What is q(-22)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -136.3111 - -121.38868. Let z = i - -14.91. Round z to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 29 - 46. Let b = 9 + c. Let h = -7 - b. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (5*3*sqrt(51))\/(sqrt(27)*-1 - sqrt(3)).\nAnswer: -15*sqrt(17)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -106 + 107. Sort 5, f, 4, 3 in increasing order.\nAnswer: f, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/2)\/((5*(-6)\/(-180))\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 + -1 - 2)*(-12 + 8). Suppose -5*t = p*j - 1870, -j - 1496 = -8*t + 4*t. Are t and 374 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26252310 divided by 875077.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1197 - 15?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -626*d**3 - 6*d**2 - 9*d + 9. Let z(u) = -1690199*u**3 - 16198*u**2 - 24297*u + 24297. Calculate 8099*s(f) - 3*z(f).\nAnswer: 623*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 33*p**2 - 5*p + 2. What is the hundreds digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8) + 1)**2 + sqrt(200)*-3.\nAnswer: -26*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*y + 44*y + 388 = 0. Let h = y + -71. Let v(a) = -a**3 + 26*a**2 + 4*a - 52. What is the units digit of v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-6))\/((8\/3)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 913, 872, 803, 706, 581?\n\"Answer: -14*w**2 + w + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -92*j + 9. Let p(y) = 93*y - 9. Let n(t) = 7*o(t) + 6*p(t). Let i be n(-5). Suppose 7*v = 345 + i. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -199.0488 rounded to zero decimal places?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be 868\/(-2)*(-45)\/40. Let t = y - 502. What is the common denominator of -17\/20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*x**2 + 6*x**2 + 0*x**2)*(-2*x + 0*x + x)*(0 + 4 - 1)*(3 + 2 - 3) as n*x + r + k*x**2 + z*x**3 and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*d**3*r**3 + 140*d**3*r - 21*r**3 - 3 wrt d.\nAnswer: 6*d**2*r**3 + 420*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ptcvctpg. What is prob of sequence gttc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cee when three letters picked without replacement from eeiiccceicceeceecc.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - -3. Let x = -25 + 101\/4. Which is the nearest to -1? (a) x (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 + 2655*w + 13200.\nAnswer: 3*(w + 5)*(w + 880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33, -42, -51, -60?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -183.3 - -183. Which is the second biggest value? (a) -6 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-14)*4\/2)\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 6*r - 3. Let b(v) = 3*v - 1. Let i(t) = -4*b(t) + s(t). Let u(n) = 5*n**2 - 3*n - 6. Let p be u(-7). Let k be p\/(-160) + (-6)\/16. What is i(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*a**4 - 3311091*a**2 - 44433550*a wrt a?\nAnswer: 48*a**2 - 6622182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.147591 and 0.02254.\nAnswer: 0.170131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 2*y + 12 = -22, -4*p + 106 = 2*y. Suppose -p = -c + 8. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -111730288 and 0.3?\nAnswer: -33519086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (4 - 8) + 9 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.09 (b) 4 (c) 0.4 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -40317, -105 in decreasing order.\nAnswer: -2, -105, -40317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + -1. Suppose 0 = r - 1110 + 1108. Which is the fourth smallest value? (a) -0.4 (b) r (c) v (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxkkxkkkkxkxxaxa. Give prob of picking 1 a and 2 k.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(3888) + 0 + sqrt(3888)) - (sqrt(336)*-2*-3)\/sqrt(7))*-4)**2.\nAnswer: 3345408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 4261579197?\nAnswer: 4261579199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -6360*o. Let d(m) = -13*m**2 - 2. Determine d(z(k)).\nAnswer: -525844800*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 11ec1f (base 16) in base 5?\nAnswer: 300041214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -18040*u**3 + 15545*u**2 + 210*u.\nAnswer: -5*u*(8*u - 7)*(451*u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x - 65, -47*x = -6*d - 48*x - 31 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fxgxgfgggfgfhxh. What is prob of picking 1 h and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 112\/21*30\/(-20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-67)\/(-201))\/(2\/(-60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 421 - 420.5. What is the second smallest value in j, -6, 1\/8, 2\/15?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 5\/552?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*i + g + 5, i + 20 = -5*g. Let b be (i + -4)\/(-8) - 1. Are -31 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12996, -24956, -36932, -48918, -60908, -72896, -84876?\nAnswer: -96842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 1 + 2)*(7*y**3 - 7*y**3 + 3*y**4) + 27*y + 2*y**3 - 27*y + y**4 as v*y**3 + d + x*y + a*y**2 + q*y**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 354*m - 377*m + 23 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6246890.\nAnswer: 2, 5, 13, 29, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by (-117)\/(-12)*16\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7322728, 14645505, 21968296, 29291107, 36613944, 43936813, 51259720, 58582671?\nAnswer: 65905672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2504 (base 6) in base 4?\nAnswer: -21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3.25674652 and -1457440?\nAnswer: 1457443.25674652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.004196362655 rounded to four decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 AM and 3:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (0 + 11 + 4 + 1 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose k**2\/3 + 32*k\/3 + 256\/3 = 0. What is k?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 10:17 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + 10*k - 10 + 5 - 8.\nAnswer: 10*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of 761*w**9\/504 - 571*w**5\/60 - 320*w**2. What is the third derivative of d(q) wrt q?\nAnswer: 91320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (y - 4*y + y + 0*y - y + 2*y + (-1 + 4 - 2)*(3*y - 5*y + 0*y) - 19*y + 2 + 18*y - 1)*(0 - 2 + 3)*(15*y - 33 + 33).\nAnswer: -60*y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be 12\/21 + 188\/14. Let w be 18 - u\/(5 - -2). Solve 4 = 4*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -94483*(-3)\/(-54) - 3. Let s = -5255 - b. Calculate the common denominator of s and -81*1\/(-16) + 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, y: 2, f: 1, x: 1}. Give prob of sequence xy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0049 and -119603876.\nAnswer: -119603875.9951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.271764539 + 118.271729139. Let f = -160 + 277. Let b = c - f. Round b to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 761 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 412 a factor of 278738701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 97724 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 5, m: 2, r: 13}. Give prob of sequence rrm.\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 12, q: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 27 = p, 0 = 30216*q - 30218*q + 56 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 40206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do -230\/63 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -40*w - 131*w + 855 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 1 + 2)*(4 + 0 + 2*f - 2).\nAnswer: 14*f + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -126 and 9.\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -8*(-3)\/99*(3137568\/(-1792))\/(-667)\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7548 + 7485. Let v be 2*((-522)\/4)\/(-1). Let u = v + i. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/64 and -47\/1364.\nAnswer: 21824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -0.3 (c) -2 (d) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = 4*d - 3*g + 14, 170*d + 69*g = 166*d + 134 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77*f - 83*f - 68*f + 214*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 18367*f + 165297. What is z(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*s - 24. Suppose -6*f + f + s = 4*w, -7 = -5*f - w. Solve -2*x - f = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i - i + 4*i)*(-26077 + 234*i + 26077) + 4*i**2 + 2*i**2 - 3*i**2.\nAnswer: 237*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 44*o**3 + 45*o**3 + 4 - 2*o**2 + 47029*o.\nAnswer: o**3 - 2*o**2 + 47029*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r + 2*n - 44, n - 10050 = -478*r - 18650 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 1 - -2) + (-7 - (23 + -18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of -21*q**5\/20 - q**4\/12 - 5*q**3\/3 - 3*q**2 + 4. What is the second derivative of y(g) wrt g?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1144*o**2 + 4916*o + 8036*o**2 + 179*o**2 wrt o.\nAnswer: 14142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 192\/533 or 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20791*i = 20767*i + 247464. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1590 + 84. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 - 1797630945.\nAnswer: -1797630945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.01 + 0.09. Let z = -0.1 + n. Which is the smallest value? (a) 1 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -431885 * -0.2.\nAnswer: 86377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25 + (-24 + -20 - -77)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = 2*i - 9 + 1, 3*i - 12 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(3\/14)*j)**(2\/33)\/(j**(-20)\/(j\/((j\/(j**(-24)\/j))\/j*j))) assuming j is positive.\nAnswer: j**(-1138\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 - 18*m**2 - 15*m. Let o be a(19). Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -2*y - 9. Let l be f(-7). Suppose 0 = l*m - 4*d - 2296, 0*m + 2*m + d = 908. Is m a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -4*w**2 - w**2 - 2*w**2 - w + 6*w**2. Let a = 5 + -7. Let h be u(a). Put h, 5, -5 in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.008, 0.089, 5?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -42204340 (base 6) in base 3?\nAnswer: -2022110200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -241\/1055 - -6\/211. What is the second smallest value in 5, 0.135, x, 0.2?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.17 (b) -0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -25, -2\/3, -11866, 0.5 in decreasing order.\nAnswer: 0.5, -2\/3, -25, -11866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**3 + 3*h**2 + 3. Let c be u(-3). Let r(l) = -l**3 + 6*l**2 - 5*l - 1. Let q be r(5). Let m = c + q. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-337 - 281 - 149)*(q**2 - q**2 + 2*q**4 + (2*q**3 + 3 - 3)*(-1 + 1 + 2*q) + 3*q**4 - 5*q**4 + 3*q**4).\nAnswer: -5369*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 164459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 AM and 3:52 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*v = -503 - 337 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1394844.\nAnswer: 2, 3, 11, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 + 5. Suppose 3*u + 7 = 3*j + 2*j, -a*j + 4*u = -6. Suppose 2*l + j = 10. Put l, 3, 0 in ascending order.\nAnswer: 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87.32247 rounded to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3566 a factor of 88457078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 3*o**2 + 55*o - 5. What is c(-18)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 9944*j - 154. Does 22 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 + 15*x**2 + 33*x - 34. Let p be i(-12). Solve 11 = p*y + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(343) - (1 + 1*sqrt(343))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -4*r - 106 - 84, -5*w - r + 887 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 110 = t. Suppose 2*o = 3*v - 66, t = v + 3*o - 0*o. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 62*o + 1380 = 25*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -96?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -19787.1 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*o - 93 = -37 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 10:56 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30)\/(sqrt(20)\/sqrt(2)) + 4)*-3.\nAnswer: -12 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - 100101001?\nAnswer: -100100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -1.9638448 to 2 dps.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-99)\/(-110)*40\/336\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/6 + (2 - -3))*(-96)\/(-28). Solve 0 = 7*y - l*y - 54 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(5\/6))**8)**(-44) assuming j is positive.\nAnswer: j**(-880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3230 and 4520470.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 324910 divided by 2?\nAnswer: 162455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 1, g: 1, k: 1, b: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the first derivative of -9*l**2\/2 - 19*l + 806. What is h(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-1\/4)\/j**(2\/9)*(j*j**(-1\/9))\/(j**(-2\/13)\/j)*(j**(-7)\/(j\/j**(-2\/35)))**(-4\/3) assuming j is positive.\nAnswer: j**(67231\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6568)\/16 - 1\/2. What is the common denominator of k\/45 - 2\/(-6) and -59\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1723 - -1728. Solve 0 = -4*k - 0*k + 8, -2*h = -q*k + 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5365193891.\nAnswer: 5365193891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, f: 1, b: 10, p: 4, j: 1}. Give prob of picking 2 b.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and 65.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -220*j - 11*j = 47*j - 5004. What is the lowest common multiple of j and 6026?\nAnswer: 54234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 - 256*z - 1013. Give i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-1 + sqrt(72))*-4 + -3)**2.\nAnswer: -1056*sqrt(2) + 4729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from spspaaawsasspsuua. Give prob of sequence aaa.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 921 = 4*m - u, 696 = 4*m - 2*u - 222. Suppose 5*b + 5*f = 115, f = 5 - 3. What is the highest common factor of m and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92401261 to the power of 1\/2, to the nearest integer?\nAnswer: 9613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1888 and 533152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(25)\/((sqrt(100)\/sqrt(4))\/sqrt(5)) - 2*(2*sqrt(35))\/sqrt(7))**2 + -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2.68 in 3, 0.4, -1, 0.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-9))\/((-183)\/(-61))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/q**(-1\/2)*q*q)\/q)**(-7)*(q*q*q\/q**(-2\/5)*q)\/(q*(q*((q**4\/q)\/q)\/q)\/q*q))\/((q**(-1\/4)*q*q*q)**27)**35 assuming q is positive.\nAnswer: q**(-52297\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xfx when three letters picked without replacement from {f: 3, x: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t + 9. Let f(c) = -c**2 - 18*c - 56. Let k be f(-13). Determine y(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from luctlxtcll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4*(400\/(-64) - -7). What is the fourth biggest value in -4, 5, -2\/13, 13, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 66 = 2*p, p = 4*l + 13 + 6. Let q(y) = 87*y**2 - 2864*y - 56. Let i be q(33). What is the greatest common factor of i and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15\/(-4))\/(-7*(-42)\/784).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 7 + 0 = -5*q, 2*q + 18 = -4*v. Let o = -18 - -19. Put o, q, 5 in descending order.\nAnswer: 5, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24192 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -55008, -55004, -55000?\n\"Answer: 4*u - 55012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1\/9 + 14\/45. Let u = -37\/15 + 14\/5. Which is the third biggest value? (a) u (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -35 (b) -0.330727 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -v**2 - 65418*v + 1046944 = 0. What is v?\nAnswer: -65434, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (195\/245232*-16*3)\/((-15)\/(-2)).\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*c - 3*d = -64, -5*c - 5*d + 94 = 34 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 7*q**2 + 7*q + 5. Let j be (-4 - -2)\/(1 - -1). Let x(d) = 6*d**2. Let g be x(j). Is 5 a factor of v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/10*(-207040)\/3882?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 43605777*n**5*x**3 - n**3*x**3 - 6*n*x**3 + 5*n*x**2 + 2*n + 62*x**2 + 1533 wrt n?\nAnswer: 872115540*n**3*x**3 - 6*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 18\/(-36) - 1\/4. Suppose 21*c = 2*c - 38. What is the second smallest value in c, 0.04, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -4*g + 8. Let p be a(-9). Let w = -28 + p. Let j = -15 + w. Is j bigger than 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 367*f = 363*f + 3164. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13*(1*6\/(-10) - (-216)\/135)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j and 1 l when four letters picked without replacement from {l: 1, j: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 689.9 + -726. Let m = 36 + z. What is the closest to m in 2, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 * 175483\nAnswer: -175483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 726\/330 + (-93)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 476680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 32468016 and 10822672.\nAnswer: 32468016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 503030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 86248 and -14?\nAnswer: -1207472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 261684 and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 25*c + 52. Is 45 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 26 = 11*z. Suppose 4*l - 14 = -0*j + j, -z*j + 5*l = 16. Let d be (-38)\/(-8) - 1\/(-4). Solve 6 = p - j*k - 2*k, 0 = 5*p - d*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 92\/3 - 31. Let v = 1 + f. Let o = 3 - 2. Sort 2, v, o in descending order.\nAnswer: 2, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 20.8353 from -0.5538.\nAnswer: -21.3891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 58 and 81055?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1100111010010001001001 (base 2) to base 8\nAnswer: -14722111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 506857165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 66b5 (base 12) in base 4?\nAnswer: 2301221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -34 + 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -3859*k - 23. Let j(m) = -5785*m - 37. What is -8*g(t) + 5*j(t)?\nAnswer: 1947*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3020232 + 123330?\nAnswer: 3210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {g: 3, y: 2, n: 2, e: 6, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 5*i - 3. Suppose 3*o + 9 = -h, 1 = -4*h + i*o + 7. What is the third derivative of h*l**2 + 2*l**4 + 3*l**2 - l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4045 + -2409. Suppose 0 = -13*t + 9*t + f. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 19227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of 0*b**2 + 0 + 31\/42*b**7 + 29\/6*b**3 + 0*b**5 + 0*b**6 + 0*b**4 - 6*b. Find the second derivative of h(l) wrt l.\nAnswer: 620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 158*h**4 + 133*h**4 + 156*h**4 + 0*h**2 - 103*h**4 - 2*h + 2*h**2 to y*h + o*h**4 + r*h**2 + s + i*h**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -4, 5019, 1\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -199.516 + -0.484. Let s = 199.6 + z. What is the nearest to -0.08 in 4\/9, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 20 = 3*b, 5*b - 16 = b - 4*n. Solve -2*g + 15 = 5*k + 5, -3*k - g + 7 = b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c*c*c**(-4\/3)*c*c)\/(c\/((c*c**(-1\/2)*c)\/c)))\/(c*c**1*c**(-5\/3)) assuming c is positive.\nAnswer: c**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * -9799.\nAnswer: 29397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 11*n**2 + 127*n + 9 - 127*n wrt n?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4061 - -20303\/5. What is the nearest to -0.006 in x, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = 18 - 24. Let o = 11 - 7. Let y be ((-6)\/(-27))\/(2\/3). Which is the biggest value? (a) y (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 - -16. Let a = -6 + f. Suppose a = 5*v - 14. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1008 - -1013. Let h = 0.03 - -1.97. What is the third biggest value in p, h, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71 - 66 + 205 - 68 + 6*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 165 and 14025?\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37910244 and 17556?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 + 19. Let x = 0.52852 + 0.47148. Which is the biggest value? (a) h (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 835\/15 + (-4)\/(-3). Suppose i + l - s = 0, 0 = 4*i - 2*l - 176 - 28. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 5*k = -2905. Let w = k - -1539. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3311414 + -4?\nAnswer: -3311423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vtxp when four letters picked without replacement from vtpvpvvyddxd.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (31\/(-2046))\/(21\/18)?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -129*r + 71*r = 189*r + 4199 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(2*sqrt(448))**2 + sqrt(49)\/(sqrt(21)\/sqrt(3))*-5)*6 + 0)*5.\nAnswer: -150*sqrt(7) + 322560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24122 = 15*b - 6433. List the prime factors of b.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4*x - 1. Let o(g) = g - 2. Let t be o(0). Let i be (8\/t)\/(-1) + 1. Let q(u) = 1 - i*u - 6*u - 2 + 4. What is -6*q(v) - 17*r(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 5*n**2 + 8*n - 7. Let x be j(6). Suppose x*r - 5 - 7 = -3*s, 4*r + 2*s - 8 = 0. Let k be (1 - (-6)\/(-4))*(-104)\/65. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*i = 41*i. Suppose 283 = 3*b - o + 5*o, i = -b + 3*o + 77. What is the remainder when b is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 17*d - 15*d. Let p(x) be the first derivative of 0*x**3 - d + 0*x - 1\/5*x**5 + 0*x**2 + 1\/4*x**4. Factor p(i).\nAnswer: -i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jazj when four letters picked without replacement from zixzajxrzjx.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -129 in -0.3, -1\/24, 12\/37, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**2 + 2*y + 5. Let n be p(4). Let c(o) = -o + 1. Let l(h) = -4*h**2 + 3*h + 1. Let u(t) = n*c(t) - l(t). Find the first derivative of u(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 148\/747 + 2\/83. Let s = 0.2 + -0.3. Let w = -0.3 - s. Which is the nearest to w? (a) -0.2 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*o + 3*v, -2*o + 0*v - 3 = 3*v. Suppose o*i + 5*k = -5*i + 35, 4*k + 8 = 2*i. Solve l - j - 3 = i, -6 = -4*l - 2*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/212 and 1\/8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -79.2 or -182?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -738*x + 6986 = -1132 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -5*c + 2*c - 5*c - c**2 + 7. Is 14 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1886445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b + 150*b - 1341. Solve b*u = 12*u - 3*s - 18, 4*s = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**3 + 165*d - 866. Calculate b(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18036*a**4 - 8*a**2 - 49*a - 4 wrt a?\nAnswer: -432864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f = -7*f - 20. Let d = 112 - f. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 3*l - 5*p, -5*l + 104*p - 108*p + 36 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 - 6*v**2 - v + 3. What is o(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1985948.\nAnswer: 2, 496487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) -88 (c) -2\/11 (d) -0.5 (e) 0.6 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 + 4566*t + 41256.\nAnswer: -2*(t - 2292)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 304990228 to the nearest integer?\nAnswer: 17464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (0 - (-2)\/(-2))*(-250)\/(-40) and ((-2)\/990)\/((-6)\/(-1335)).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 PM and 11:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1100) + 1 + -4 - sqrt(1100).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from jjpmmjjmjjjmj.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3157807387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 10:00 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*h + 65054 - 32838 = 33096 for h.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 293377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -5*w**2 + 5*w - 5. Let k(x) be the first derivative of 0*x**3 + 3 - 2*x + x**2 - x**3 + 1 - 18. Calculate -5*k(r) + 2*m(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/((-30)\/(((-32)\/(-28))\/(5\/(-70))))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -60429171\/19 or -3180483?\nAnswer: -60429171\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16815*q**2 + 4770*q wrt q.\nAnswer: -33630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5754 divided by -959.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 166 and 28898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the first derivative of g**5\/30 + g**3\/2 + g**2\/2 - 5. Let o(s) be the second derivative of v(s). What is the derivative of o(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 3*t**2 - 1. Let o be a(1). Let u(k) = -k**3 - k**2 + k + 2. Calculate u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -284 and -8.\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor q**4 + 5*q**3 - 11*q**2 - 33*q - 18.\nAnswer: (q - 3)*(q + 1)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of 7*q**5\/20 + 7*q**4\/6 - q**3\/2 + 21*q**2\/2 - 2*q + 9. Is v(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -809436337\/284 - -2850188. Let y = c - 128\/71. Let z = -58 + y. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + -1002011?\nAnswer: -1002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (((-154)\/(-33))\/(-7))\/(2\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(1\/3)*x**(3\/22)*x*(x*x**(-1\/10)*x)\/(x*x*(x**(-1\/2)\/x)\/x*x*x) assuming x is positive.\nAnswer: x**(617\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 6*(5 + 5 + (sqrt(272) - (sqrt(272) + (sqrt(272) - sqrt(272)*2))) + 2 + 4))**2.\nAnswer: 4752*sqrt(17) + 19593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 52 = -5*t + 8, 0 = -5*b + 25. Let i = t - 4. Suppose 0 = i*q - 8*q + 70. What is the remainder when 40 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5949904744 to the power of 1\/4, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2*g**2 + 5*g - 2. Let j(b) be the second derivative of -b**3\/6 - b**2\/2 + 8*b. Let a(y) = -2*j(y) + q(y). Find the second derivative of a(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 28, 131, 254, 361, 416, 383?\n\"Answer: -6*g**3 + 46*g**2 + 7*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 + 1. Suppose -y = f*y. Solve y = 2*g - a - 4*a, -3*a - 1 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 6*y**3 - 5*y**2 + 7*y - 5. Let a(f) = -91 + 180 + 3*f + 3*f**3 - 91 - 2*f**2. Determine -5*a(z) + 2*v(z).\nAnswer: -3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 0. What is the third derivative of -105*d**l + 109*d**4 - 3*d**2 - 4*d**2 wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -161*b**2 + 2*b + 5*b - 5*b - 62*b**2 + 235*b**2.\nAnswer: 12*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -914 and -2?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 7*v**3 + 5*v - 2. Let o(c) = -c**3 - c + 1. Determine -d(y) - 4*o(y).\nAnswer: -3*y**3 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 279.64 and 813870.\nAnswer: 814149.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) -3\/2 (b) 0.22 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 125 is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2.4? (a) 6\/13 (b) -4\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000759 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -24 (base 13) to base 16\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {k: 5, m: 1, n: 3, b: 1, h: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -56\/9, -0.2, -1\/7, -2\/9, -0.4, -2.3, 0.5?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -251 (base 15) to base 13\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*q**3 - 1 + 1)*(-4*q + 2*q + q) + 2*q**4 - q**4 - 2*q**4 + 42*q - 42*q - 2*q**4 + 6*q**2 to f*q**4 + m + v*q**3 + h*q + t*q**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/984 and 11\/1312.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j. Suppose -7*x + 14 = -0. Let f(g) = 10*g + 125. Let o(m) = 3*m + 41. Let w(u) = x*f(u) - 7*o(u). Calculate r(w(b)).\nAnswer: -2*b - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*b**5 - 1212*b**4 + 392*b**3 + 668*b**2 + 134*b = 0 for b.\nAnswer: -1\/3, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from lmmomlzm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -237*0.4.\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -3*d - 13. Let l(n) = -5*n + 1. Let m be l(2). Let w(o) = 3*o + o - 3*o + 0*o + 6. Give m*w(k) - 4*p(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -10, -31, -72, -139, -238, -375, -556?\n\"Answer: -g**3 - 4*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1)\/(-1)*((253 - -4) + 5)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 2:24 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50427.\nAnswer: 3, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l - n = -43*l - 2379, 4*l - 5*n = -279. Which is the third biggest value? (a) l (b) 2\/9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 418048163.\nAnswer: 13, 37, 337, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -k + 5*j - 10 = 2*j, 0 = 4*k + 3*j - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6164302s to milliseconds.\nAnswer: 616.4302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-104)\/(-6))\/((-2948)\/2211).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12882241647 plus 69.92?\nAnswer: 12882241716.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 237949.\nAnswer: 1\/237949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 - -5. Suppose -144*j + 130*j = -14. Which is the closest to t? (a) -0.4 (b) 3\/50 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in -p**5\/9 + 8*p**4\/9 - p**3 - 50*p**2\/9 + 64*p\/9 + 32\/3 = 0?\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 - 6*s + 1334. Calculate o(-39).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 2*j. Let g(t) be the third derivative of -91\/60*t**5 + 11*t**2 + 0*t**3 + 0*t + 0*t**4 + 0. Determine g(q(d)).\nAnswer: -364*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11703 and 4233?\nAnswer: 198951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 4*k. Suppose -5*s = -5 - k. Let f(n) = n**2 - 9*n + 17. Let c be f(7). Solve -x = -s - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1282142 = -49*u - 215461. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 61.62 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -133, -120, -125, -154, -213, -308, -445?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the third derivative of n**4\/12 - 5*n**3\/3 - 9*n**2. Let q be m(11). Suppose q*j + 4 = 16*j. Does j = 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 0*v**2 + 0*v**2. Let p(w) be the first derivative of w**3\/3 - 1. Give p(f(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 2) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -7\/2*l**2 + 26 + 1\/3*l**3 + 9*l. Let h(u) = 3*u - 4. Calculate 3*g(w) + 7*h(w).\nAnswer: 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -5*q**4 + 150*q**3 + 165*q**2 - 310*q = 0. Calculate q.\nAnswer: -2, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17793197.\nAnswer: 17793197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, -5\/273, -5, 0.5 in ascending order.\nAnswer: -5, -3\/4, -5\/273, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1320 divided by 6?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of -s**6\/30 + 5*s**4\/4 - 8*s. What is the third derivative of x(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(204) - (sqrt(204) - sqrt(204)*-2) - sqrt(204) - sqrt(204)) + sqrt(204) + sqrt(204) - sqrt(204))\/sqrt(3))**2 + 2*-2*sqrt(17)*5.\nAnswer: -20*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11597429.\nAnswer: 19, 610391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 8.75203 millilitres?\nAnswer: 0.00875203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o**2 - 3389367080*o + 717988075186732900 = 0.\nAnswer: 423670885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the second derivative of w**7\/315 - w**6\/360 + w**2 - 6*w. Let p(c) be the first derivative of t(c). Factor p(o).\nAnswer: o**3*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0375976402 to five decimal places.\nAnswer: 0.0376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4 - 9)\/10*-1774. Suppose -3*o + 2*o = -n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246916243 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/5))**37*f*f*f*f**(1\/8)*f*f\/f**(-1\/3)*f assuming f is positive.\nAnswer: f**(-1001\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**2*k*(k*(k**(-1\/4)\/k)\/k)\/k)\/(k\/(k**1\/k))**30*(k**(-2)*k**(-1\/2))\/(k**6\/(k*k**(-1)\/k)) assuming k is positive.\nAnswer: k**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 21 - 13. Is 8 a factor of (o\/(-5))\/((-4)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 19 + -9. What is the greatest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 240 a factor of 132240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 336942*l**5*q - 2*l*q + 4499*l + 5*q wrt l?\nAnswer: 6738840*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10026648 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {r: 3, y: 2, w: 3, x: 1, o: 2, p: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10001101111000 (base 2) in base 7?\nAnswer: 35321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -432 + 92. Let b = l + -46. Let o = b + 4. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1360 and 135648?\nAnswer: 11530080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 241191472.\nAnswer: 2, 19, 43, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -7398 and -10812.\nAnswer: 79987176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (7 - 5) + -8 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of f**4*l**2 + 1637*f**4 + 218*l**2 + 10 wrt f?\nAnswer: 4*f**3*l**2 + 6548*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 12. Solve -8 = -4*n - 4*v, v = 3*n + 6*v - h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 258 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2112192 and 8096736?\nAnswer: 48580416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 2*z + 9. Let k be h(-3). Suppose -g - 8 = -k*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}