diff --git "a/data/dm_maths/full_data_1/2375_11255.jsonl" "b/data/dm_maths/full_data_1/2375_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2375_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q = 17 - 7. Let j = -6 + q. Suppose -5*m - 17985 = -4*d, -5*d + j*m + 22488 = -0*m. Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000183 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = u. Let t be ((-64)\/(-24))\/(4\/u). Suppose -t*s + 3*f = -20, -3*s - 3 = 4*f - 18. Solve 0 = -2*v - s*o - 21, 2*o = 5*v - 0*v - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 1. Let o = 90 - 91. Let y(z) = 2. Let f(h) = o*y(h) + 2*r(h). Let t(s) be the second derivative of 4*s**3\/3 - 3*s. Give t(f(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 749, 759, 771, 785, 801?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 5*o)*(2*o + 4*o - 2*o).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/35 - 3\/280. Let s = 8.97 - -0.03. Let t = s + -9.2. Which is the closest to -2\/11? (a) w (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/180 + 8*b**5\/45 + 77*b**4\/36 + 98*b**3\/9 + 1502*b**2. Factor o(c).\nAnswer: 2*(c + 2)*(c + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*u + 4*u. Suppose u = -5*k + q + 3*q + 54, 3*q - 26 = -k. Calculate the remainder when 53 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 156 = -3*z. Suppose 7691 = 87*a + 905. Calculate the highest common factor of z and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, -155, 1\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 71 + -513 + 564.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/84*(-2)\/(-4)*-4*(13 + 22).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 627 and 833085?\nAnswer: 15828615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 346233 + -5885935\/17. Suppose -42\/17*u**3 - 10\/17*u**4 - 30\/17*u**2 + 24\/17 + j*u = 0. What is u?\nAnswer: -3, -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1312 and 5248.\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 4. Let f be t(-5). Let m = f - 1. Let a be -3 - 5\/((-25)\/15). Solve m = h + 5, -4*h + a*h = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8448, 9468, 10488?\nAnswer: 11508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 + 5*z - 5. Let c(h) be the third derivative of -h**5\/12 + h**4\/6 - 5*h**3\/6 - 56*h**2. Let l(m) = 6*a(m) - 7*c(m). What is l(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 2) + -9 + (2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(243) + (5*sqrt(108) - sqrt(27)))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 - j**2 - 2*j**2. Let r(l) = -l**2 + 8*l**2 - 4*l**2. Calculate r(w(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -102153 (b) -0.38 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -14. Suppose -z = -5*p + 62, -3*p - r*z + 35 = 5. Calculate the greatest common factor of p and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5 - z - 6*z + 5*z**2 - 4*z**2. What is m(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135813 (base 16) in base 10?\nAnswer: -1267731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6875*q + 378138. What is d(-55)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = 3*m, -m - 2*m = -f + 21. What is the remainder when 39 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126 + 60*s - 37*s - 8*s**2 - 48*s + 102 to l + p*s**2 + v*s and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 4*a + 2 + 0*a + a**3 + 1 + 0. Let z be p(5). What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -6, 1\/7, 0.3, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 4*o - 3. Suppose 2*x - 4 = 6. Let g be f(x). Let s(c) = -c**3 + c + 13. Let a(l) = -l**3 + l + 14. Let v(b) = g*a(b) - 3*s(b). What is v(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/22*(-8)\/(-9). What is the third biggest value in -0.3, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j**2 + 2*j - 2 + 0*j - 4*j. Let k be (16\/(-28))\/(-3 - 76\/(-28)). Give a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1443410110?\nAnswer: -1443410102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 811681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from lysshlhlsllsylyll?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q + 39. Calculate p(-10).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/4 - 27*s**3 + 159*s**2\/2 - 2*s - 50. Factor v(u).\nAnswer: 3*(u - 53)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 14*h - 7. Give t(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011110101011110010 - -1000?\nAnswer: -10001011110101011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 3*(2 - 3). Suppose 5*r + 25 = 0, -4*i - 9 - p = 5*r. What is the biggest value in i, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-24)*m**7*m)\/(m**7)**(-23) assuming m is positive.\nAnswer: m**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.021644.\nAnswer: -0.021644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12282 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Let w be q(-4). Suppose w = -2*j + 1 + 13. Does 10 divide (-4 + j)*(-26)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4746061 is divided by 2373027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(168) - sqrt(168))\/sqrt(4))\/(1*sqrt(96) - sqrt(96) - sqrt(96)))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 13 + 22. Suppose 0 = -10*r + w*r + 60. Solve 3*o = -0*o - r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 321, 599, 991, 1497, 2117?\nAnswer: 2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**12*t)\/t**9*t*t**(2\/49)*t*t*t*t\/t**(-20))**19 assuming t is positive.\nAnswer: t**(5624\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 + 0*j**5 - 2*j**5 + 6*j**5 + 20*j**5 - 8*j**5 + (0*j + j - 3*j)*(j**4 + 3*j**2 - 3*j**2) - 2*j**5 + 0*j**3 + 0*j**3 - j**5 + 4*j**2 - 4*j**2.\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2 - 125\/2*z**2 - 20*z**3 - 30*z + 35\/4*z**4. Factor i(x).\nAnswer: 5*(x - 3)*(x + 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:27 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*g + 35*g + 47*g + (0 - g + 0)*(1 + 1 - 3) - g + 2*g - 3*g)*(50*g - 50*g - 17*g**2) - 2*g**3 - 2*g**3 - 2*g**3 + 0*g + 0*g - g**3.\nAnswer: -1979*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(504) - (sqrt(504) + sqrt(504) + -1*sqrt(504) - sqrt(504))*-4 - sqrt(504) - sqrt(504))\/sqrt(8))**2.\nAnswer: -335 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/77 and 53\/18.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3120\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h + 1. Let j be z(-1). Let n = 2.309 + -2. Let d = n - -0.091. What is the nearest to -0.1 in 0, j, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*v**4 - 4 + (-3 + 1 + 3)*(-414*v**4 - 11*v**4 - 218*v**4).\nAnswer: -645*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 0*m - 2\/7*m**3 + 58*m**2 + 0 = 0?\nAnswer: 0, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*63\/24*-2*-2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13712351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4.2 (b) -4 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(63) + 1 + 3 + -5*(-1 + sqrt(63)) + -2)**2.\nAnswer: -168*sqrt(7) + 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-10))\/12)\/(17\/(-255))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(588\/(-8)) - 384\/(-1050)) + 2108\/(-100)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5465742875 to the power of 1\/3, to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 58 = -62. Calculate the remainder when h is divided by 32\/((-10)\/(-5)) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*y - 1613, -7*i + 2*i + 8109 = -4*y. What is the remainder when i is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-24)*14889\/7090)\/(1\/(-3))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 3176.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 11845?\nAnswer: -4\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 7*v**3\/3 - 11*v**2\/2 - 8*v - 14. Let d be 1 - (0 - 15) - -1. Let l(m) = 4*m + 0 - 4 + m. Determine d*l(k) - 6*h(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406 divided by -5.\nAnswer: 406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or 18248?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:45 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 110 = -3*t, 7 = -3*t + 5*r + 113. Suppose 282 = 5*x + 4*d - 246, 5*x + 5*d - 525 = 0. Calculate the remainder when x is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 12. Let i be u(-10). What is the highest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**3 - 17*q**2 + 13*q - 2. Let j be z(6). Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*k - 14*k**3 + 5145675*k**6 - 74*k**4 - 5145676*k**6 + 0*k - 2558*k**2 wrt k?\nAnswer: -120*k**3 - 1776*k - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2271*p = -5042*p - 416841 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 5487 - 870. What are the prime factors of c?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 0, -k = -4*j + 4 - 2. Suppose 2*p = -5*s - k*p - 300, 2*s + 107 = p. Let v = s + 107. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 3. Let s be g(-3). Let x(z) = -z**2 + 5*z - 3. Let k be x(4). Let m be 1 + k + (2 - -1). Solve 5 = -r - p - 0, -2*r - s = -m*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(108)\/sqrt(3)*-2)\/(2*2*sqrt(12) + sqrt(12)))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*o - o = 20, 5*i + 5*o - 20 = 0. Let k(x) = 3*x - 2. What is the remainder when 38 is divided by k(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -141168?\nAnswer: -141182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 443784?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)*a*a\/(a*a\/((a\/a**(-2))\/a))*(a\/(a*a**(-5)))\/a**2*(a\/a**(-6)*a**(-4)\/a)**6 assuming a is positive.\nAnswer: a**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 350747520 divided by 23383168\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 153, -2, 2, -7 in decreasing order.\nAnswer: 153, 13, 2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 9 + 6 + -24 + -2 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/28 of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -4\/3, -2097\/7 in decreasing order.\nAnswer: 1, -4\/3, -9, -2097\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-30)*(-10)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240071 or 240069?\nAnswer: 240071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*j = -815*j + 54 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) -0.5 (c) -185 (d) 0.3 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2493*n - 140558 = 3896*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15363355 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, 2, 0.2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2. Let j(r) = 4*r**2 - 72. Let l(b) = j(b) - 36*y(b). Let z(k) = 394*k**2. Give l(z(x)).\nAnswer: 620944*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 74. Let t be 1 - 3\/12 - x\/8. What is the tens digit of (-1 + -22)*-2*t\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 0 - (2 + -5 + 9 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.235982 kilograms?\nAnswer: 8235.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22544 is divided by 403?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50\/167 - 6403\/16366. Suppose 5*x + 0*x = -4*r + 19, 2*r - 4*x = -10. What is the common denominator of ((-39)\/(-35))\/(2\/(-5)) + r and j?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 135*j + 193. Let l(n) = 304*n + 386. Determine 4*l(g) - 9*s(g).\nAnswer: g - 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + (sqrt(78) - (sqrt(78) + (sqrt(78) - sqrt(78)*5 - sqrt(78)))))*1)\/(sqrt(48)\/(sqrt(8)*-4))*2)**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*m + 4 = 0, 8036*m - 8034*m = -3*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 - 7*n**4 + 4*n**4 - 9*n - 6 + 3 to c + l*n + d*n**3 + f*n**2 + s*n**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:08 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -16*i - 266613 + 72045. Round i to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410 (base 13) to base 9\nAnswer: -845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -13, 0.6, -0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**7\/21 - 19*f**6\/30 + 5*f**4\/12 - 2*f**3\/3 - 51*f. What is the third derivative of p(i) wrt i?\nAnswer: -120*i**2 - 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359 - -357. Let x be 1\/(6 + 9\/v). Which is the closest to 1? (a) -6\/11 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-9))\/(1\/(-3)). Let n be (1 - -1)\/((-2)\/g). Which is the biggest value? (a) n (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 33, -17, 1, 3\/10 in descending order.\nAnswer: 33, 1, 3\/10, -0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 + m**5\/12 + 5*m**4\/24 + m**3\/3 + 12*m**2. Give g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049 minus 813.40264?\nAnswer: -813.45164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(3 + 4 + sqrt(448) + sqrt(448)*2 + sqrt(448) + 4)*2)**2.\nAnswer: 11264*sqrt(7) + 116621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494 + 3*t + 1754*t**2 - 5*t + t**3 - 971 + 728*t**2 - 1084 wrt t.\nAnswer: 6*t + 4964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18120 - 17827. What is the remainder when 1186 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 - 2*i**2 - 2*i - 18. Let m be b(-4). Suppose 90 + m = 12*p. Suppose 4*w - p = -w. Calculate the highest common divisor of 10 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 226, 16?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = -2*m, -20*m = -15*m - 5*u + 1 + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(4*c - c - 2*c) - 3*c - 2*c + 6*c - c + 2*c + c + (0*c + 4*c - 2*c)*(65 + 81 - 121).\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74981, 74983, 74987, 74993, 75001, 75011, 75023?\n\"Answer: h**2 - h + 74981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1348082*n**2\/3 - 7080304*n\/3 - 9296672\/3.\nAnswer: -2*(821*n + 2156)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (10 + 5) - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1125\/92 + -264\/23. Determine l, given that 1\/4*l**5 - x*l - 1\/4 + 1\/2*l**3 + 3\/4*l**4 - 1\/2*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3288, 3558, 3828, 4098?\n\"Answer: 270*j + 3018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3\/3 + 42007*r**2\/3 - 56220652*r\/3 + 22481540\/3 = 0.\nAnswer: 2\/5, 1670, 6731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 + y**4\/6 + 65*y**3\/3 + 64*y**2. Calculate the remainder when o(9) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 20*f + 9*f. Let u(g) be the third derivative of 7*g**6\/720 - g**4\/12 + 3*g**2. Let p(w) be the second derivative of u(w). Calculate i(p(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15300, 15297, 15294, 15291, 15288?\n\"Answer: -3*q + 15303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 42 = 14*h. Solve -2*t + 3 + h = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47942 + -1013?\nAnswer: -48955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 6*s + 3*s + 128, -b + 41 = 3*s. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1165 (base 14) to base 4.\nAnswer: -233111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 31 + 616*q - 31 to the form x*q + n and give x.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 1. Suppose -16 = -0*h + 4*h. Let p = d - h. Solve 0 = -4*y + f - 18, 11 = 3*y - p*f + 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 10584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1. Let y(i) = -9*i - 3. Let j(z) = z**2 + 28*z - 246. Let d be j(7). Calculate d*y(b) + 2*x(b).\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*m**3 + 2 - 2*m**4 - 4*m + 315*m**3 + 2*m**2 + 0 to the form r*m**2 + q + l*m**4 + a*m + j*m**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61418579?\nAnswer: 23, 2670373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-8))\/((-1)\/(-2)). Let u(h) = -h**2 - h + 5. Let t be u(0). Let f(s) = 7*s + 5. Let l(x) = 0*x + 0 - 3 - 4*x. What is j*f(k) + t*l(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 13. Let z(d) = 0 + 7 - 18 + b*d. Is z(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 6*o - 2. Suppose 94*h - 6 = -4*w + 96*h, 4*w + 3*h - 11 = 0. Let u(c) = 6*c**3 + 18*c + 7. Calculate w*u(p) + 7*t(p).\nAnswer: -2*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 151, 480, 1095, 2092?\nAnswer: 3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - 99\/110. What is the nearest to -1 in j, -0.4, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:45 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106759013 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522 by 87.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3\/3 + 6*l**2 + 5*l + 9. List the prime factors of p(-17).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/385862?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191917 - -191917. Factor 3\/4*w**3 + 0*w**2 - 9\/4*w**4 + v*w + 0.\nAnswer: -3*w**3*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 2*w - 0, 4*w = -3*x + 17. Let f be (-12)\/18 + (-1)\/x. Is f smaller than -1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1134 in 3, 4, -0.6, 9\/10, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.36*0.3.\nAnswer: 4.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -3\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let j(p) = -p**2 + 2*p - 21. Let y(l) be the second derivative of l**5\/20 - l**3\/6 - 2573*l. Calculate j(z) + 2*y(z).\nAnswer: 2*z**3 - z**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let n = -1.4 + 2.3. Let g = -3.9 + n. Which is the second biggest value? (a) g (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvrf when four letters picked without replacement from ffxrfrrrvfxxn?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8769673 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/8, 0.4, 0.34 in ascending order.\nAnswer: -1\/8, 0.34, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5282 (b) -8 (c) 13 (d) 3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -405, -1607, -3621, -6459, -10133?\n\"Answer: -2*r**3 - 394*r**2 - 6*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h - 24. Solve 0 = 5*k + h*k + 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*q - 277, -3*z + q + 2*q = 384. Which is greater: -132 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 10*w - 8*w + 10, 0 = 2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0186 - -2.1014. Let n = 3.12 - j. Let r be (-2)\/5 + (-123)\/(-345). Is r <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 2*m**2 + 2559*m - 13559*m - 3139*m.\nAnswer: -2*m**2 - 14139*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/100 and 77\/320.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/11 - -15\/44. Suppose 5*k - 8 = 4*h + 3*k, -3*k + 12 = 4*h. Let o = 0 - 5. Which is the second biggest value? (a) o (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651.8 + -652. Which is the closest to 0.1? (a) -0.3 (b) o (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99111.73ug in grams?\nAnswer: 0.09911173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1325 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -177501 - -2?\nAnswer: -177499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64734543?\nAnswer: 3, 7192727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 15 = 3*i + 5*b, -b + 3 = -2*i. Suppose 0*a + 3*a = 6. Suppose i = -4*w + a*w - 2, l + 2*w + 3 = 0. Do l and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000487697 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 240*b - 120. Is 21 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218547 = 218554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 - 315*i**4 + 2524*i**3 + 8097*i**2 + 1960*i - 3300 = 0. Calculate i.\nAnswer: -165, -2, -1, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 24. Let p(w) = -162*w + 5. Let f(s) = -243*s + 8. Let b(a) = 5*f(a) - 8*p(a). Let y be b(1). Calculate the greatest common divisor of g and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 2*m - 2. Suppose -w - 4*w + 25 = 0. Let v(x) = -7*x**3 + 5*x - 5. Suppose 9*y + 4 = 4*y + 3*q, -3*y + q = 4. What is w*i(o) + y*v(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1193262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 4203880?\nAnswer: 29427160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305297 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*l + 4)*(3*l - 4*l + 3*l) + (2 - 2 + 1)*(318*l**2 - 66 + 63 + 28*l**2).\nAnswer: 338*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*x + 2*f, -f - 7 = -4*x - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -4307.897.\nAnswer: -4307.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:00 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1361473 and 11647.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131*y + 30 = -1134*y - c + 4*c, 7*y = -c - 70 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + r + 9. Suppose 0 = 3348*z - 3347*z - 8. Determine h(z).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7670641 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa5 (base 15) in base 2?\nAnswer: -11000011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307018 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aarsnn. Give prob of sequence nrs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 121774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*m + 2229 + 33 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 90*t**3 - 211*t**3 - 5)*(-4*t + 3*t + 4*t) in the form w + k*t**4 + q*t**3 + g*t**2 + a*t and give k.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-369)\/39)\/(4587\/19877)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w**3 + w**2 - 2*w - 2. Let r(k) = 14*k - 7. Let p(u) = 23*u - 12. Let l(q) = 3*p(q) - 5*r(q). Give -j(b) + 2*l(b).\nAnswer: -12*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31245, -61876, -92499, -123114, -153721, -184320?\n\"Answer: 4*a**2 - 30643*a - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765, -955, -2673, -4389?\nAnswer: -6103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101000100001000110 (base 2) in base 7?\nAnswer: -13215626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648000 = -6*g - 0*g. What is g rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-984)\/(-10) - (-27)\/45. Let z be (k\/27)\/(2\/6) + -2. Suppose z*s + 8 = 8*s. Is s at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 3*p - 4*p)*(-4 + 4 + 1)*(2*p - 6*p + 3*p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1169, 1, 3, -1 in ascending order.\nAnswer: -2, -1, 1, 3, 1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5 - 1. Let k(a) = -a + 2. Let c be k(b). Let v be ((-9)\/(-6))\/((-2)\/(-4)). Solve v*i + 21 = 4*s, c*i - 4*s + 3 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let k(u) be the first derivative of -4*u**3\/3 + 9. Calculate k(m(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45781819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -1\/9*y**3 + 1\/3*y**2 - 3 + y. Factor d(p).\nAnswer: -(p - 3)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h - 9. Let f be v(-4). What is the smallest common multiple of 52\/14 - 6\/f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0242 - 212.9758. Let c = d + 208. What is the second biggest value in -1\/2, 39, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 + 11*n + 2. Let r(a) = -7*a**2 + 11*a + 2. Calculate -4*r(g) + 3*z(g).\nAnswer: 4*g**2 - 11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - f**2 + 2*f - 8. What is the remainder when 49 is divided by u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 9*b**2\/2 - 17*b + 13. Let y be f(6). Suppose -y = -2*n + 107. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.934 + 0.4\nAnswer: -6.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 297 or 1?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 455 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r - 742 = 0. Let j be 366168\/220 - 6\/(-10). Let k = j + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/492998 + -465390427\/51764790. Let i be (-12)\/(-4)*(186\/(-63))\/1. Let k = i - v. Which is the closest to -2? (a) k (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000111010001000000 - 1100?\nAnswer: 1000000111010000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 22*u - 36. Let b be j(-10). What is the tens digit of (-104)\/b - 6 - (-119)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c + 4. Let z be j(-6). Suppose -a + z = 3*a. Suppose -f + a = f. Solve -f*s + 14 - 6 = -w, -3 = w - s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41794.28 - -40544. What is x rounded to the nearest ten?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t - 14*t**2 + 1\/30*t**5 + 0 + 3*t**3 - 17\/24*t**4. Calculate the remainder when 20 is divided by q(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3615.7*0.3.\nAnswer: -1084.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30770034 (base 9) to base 14\nAnswer: 1d76812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*h**3 - 2630*h**2 + 2525*h = 0. What is h?\nAnswer: 0, 1, 505\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -35833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296031*s - 14 = -v - 296030*s, 4*v = -3*s + 28 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 10*v - 1746. List the prime factors of v.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 16. Let c be b(8). Let m be (2 - (-12)\/c)*4. Solve 6*x - m*x - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72140423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3244, -6486, -9728, -12970?\nAnswer: -16212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 11*m**5\/120 + 5*m**4\/24 + m**3\/2 + 14*m**2. Let t(w) be the first derivative of b(w). Differentiate t(o) with respect to o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 0*u**2 + 0*u**2 + (8*u - 8*u - 5*u**3)*(-1 + 2 + 3) + (-1 - 2 + 4)*(u**2 - u**2 + u**3) in the form x*u**3 + n*u**2 + z + w*u and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**6\/15 - 166*z**5\/5 + 167*z**4 - 1004*z**3\/3 + 335*z**2 - 838*z\/5 - 5885. Suppose d(r) = 0. What is r?\nAnswer: -419, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 9*u**2 - 6*u + 3. Let g be r(8). Let o = -62 - -195. What is the highest common factor of g and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**8)**40*x*x**(-2\/27)*x\/(x\/(x*((x**(1\/7)\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-53096\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 34 + 9*y - 4*y + 4*y**2 + 6*y. What is the tens digit of w(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 2, f: 1, l: 1, z: 2}. Give prob of picking 1 z and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 10983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**3 - 2*r. Let w(v) be the third derivative of -253*v**6\/120 + 23*v**4\/24 + 1215*v**2. Give 23*s(y) + 2*w(y).\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17099375 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -714831.00014 - -714817. Let s = -0.14 - -14.14. Let j = c + s. What is j rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117, 270, 419, 564, 705, 842?\n\"Answer: -2*r**2 + 159*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)*x)**(-4\/31)\/(x*x**(2\/21)*x*x*x\/(((x\/(x*x**(-13\/2)\/x))\/x)\/x)*x) assuming x is positive.\nAnswer: x**(157\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/7*(-6)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:27 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76611 divided by -25537?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-9)*(-44)\/(-462))\/(10\/75*35).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -9 - 11, -2*l - 2*d + 48 = 0. Let f = l + -29. What is the common denominator of 77\/2 and f + (0 - (-202)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1225 = -5*o + 10*o. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/39 + (-968)\/6. Let t = -1955\/12 - p. Let r = 0.1 - 0.6. Sort r, t, -5 in ascending order.\nAnswer: -5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*4*-4. Let k = 18 + x. Calculate the highest common factor of k and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12188134 divided by 2?\nAnswer: -6094067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - s + 9. Let m be i(-9). Suppose 2*w = 5*w - m. Suppose -b - 1 = 4*a - 22, b - a = 21. Calculate the remainder when w is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 2. Let g(v) = -16 + v + 15 - 34 - 2. What is d(g(c))?\nAnswer: -5*c + 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4.2, 1, -2\/23, -3 in ascending order.\nAnswer: -4.2, -3, -2\/23, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1)*h)**(-30)*(h*h**1\/h)**(2\/43) assuming h is positive.\nAnswer: h**(-3868\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 507\/(-6)*-22 + -4. Let w = -895 + v. Suppose -5*d + 11*d + w = 0. Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 10) in base 3?\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11834 (base 15) to base 10\nAnswer: -55849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*k + 4, -5*i + 4*k = -4*i - 7. Let m be 7\/1 - 112347\/16416. Is i at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 2*m + 5*z = -7, -2*m + 19 = -5*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 95583*z - 5543810. What is l(58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 - -0.2656802537.\nAnswer: -19.7343197463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2911 - 2537 = -34*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v. Suppose -2*k + v = -4. Is k > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 2. Let v = z + -6. Solve -w + 12 = -4*j - 0*j, 12 = -v*j + 2*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -14*c**3\/3 + 19*c. Let p(m) = -m**2. What is d(p(g))?\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/40)\/9)\/(11 + 22 + -32)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/5 - 84*t**3\/5 - 117*t**2\/5 + 894*t\/5 - 696\/5 = 0. What is t?\nAnswer: -4, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182193 and 9.\nAnswer: 546579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*n = 25, k + 5*n = -2*k - 25. Suppose k*y - 3338 = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -412\/627 - 2\/209. Let b = 0.1 + -0.3. What is the nearest to u in -0.4, 0.04, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35031541 (base 6) to base 12.\nAnswer: 43b5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735298 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905*c + 132 = 1906*c. What is the remainder when 541 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0.4, -7, -2\/39, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -59*r + 325. Let l(q) = 30*q - 161. Let k(s) = 2*f(s) + 5*l(s). Let w be k(5). Let v(z) = 2*z - 15. Calculate v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v - 3*v + 1 + 6*v. Calculate the remainder when l(4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334701842 plus -2?\nAnswer: 2334701840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (0 - -6)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(6)\/(-2*sqrt(3)) - (sqrt(22)*1)\/sqrt(11).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10 = -2*h, -3*l = 15*h - 10*h - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:47 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/45 + (-14966)\/6. Let x = c + 4803. Suppose 2*b = t - 30 + x, 5*t = -2*b + 2292. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 + 9*n + 12. Let u be (-123)\/15 + (-6)\/(-30). Calculate y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 22*z - 341 = 0. Let y(s) = 2*s**2 + 7*s. Let o(f) = 6*f**2 + 20*f. Calculate z*y(x) - 4*o(x).\nAnswer: -2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -259, -772 in ascending order.\nAnswer: -772, -259, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - 5*c + 4. Calculate z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y - 4*y - y)*(-53*y + 19*y + 7*y) - 2*y**2 + 6*y**2 + y**2)*(-4*y - y + 4*y)*(-2 + 0 + 0)*(-1 + 4 - 1).\nAnswer: 128*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -7\/5, 46.34, 1, 0.02, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156.0002 + 102.0043. Let h = 54 + b. What is h rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 27*t + 14. Let v = 21 + 7. What is the smallest common multiple of v and z(-26)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2468, 2304, 2048, 1712, 1308, 848?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 - 18*m**3 + 39*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -540158216+-914\nAnswer: -540159130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - 29 + 5*o - 4*o**5 + (2*o**3 - 2 + 2)*(-1 - o**2 + 1).\nAnswer: -6*o**5 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 2 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.1 - -0.1. Let x = p + 46.84. Round x to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 6) in base 13?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2 - v - 10 - 7 + 23. What is u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/11, -4, -1\/24, 3, -64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5786600 - 62*k - 2*k**2 + 195*k + 5786600.\nAnswer: -2*k**2 + 133*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1241038854 divided by 4178582\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (98\/7)\/7 - 665. Let d = o - -966. What are the prime factors of d?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3866.4 - 3866.5. Which is the fourth biggest value? (a) -0.04 (b) x (c) -1\/12 (d) -1\/3 (e) -0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + t + 119 = 9*t. Solve -5*d = q - 1, 2*d = t*d + 4*q - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -218995.\nAnswer: 2\/218995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203831?\nAnswer: 317, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132*a**3 - 187 wrt a?\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 5. Let q = -56 - -62. Determine m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 12*m**2 + 12*m + 1. Let v be p(-12). Let j = v + 229. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3 + 168*t**2 + 165*t = 0.\nAnswer: -55, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/378)\/((-50)\/35)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 20*s + 1. Let c(i) = 542*i**2 - 120*i - 1. Determine c(d) - 6*z(d).\nAnswer: 518*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 b, and 1 o when four letters picked without replacement from boobopooopbobppoobbo?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4420, -26141, -62352, -113059, -178268?\nAnswer: -257985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 18\/5) + (26463\/(-11055) - -3) and 131\/402.\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400864 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + 18. Solve x - 21 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 52.9. Let l = -0.9 - q. Put 2, -5, l in descending order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -19. Suppose z*u = u + 5*g + 65, 3*u + 4*g = 119. Let w be (27\/(-4))\/(0 - 15\/40). Calculate the greatest common factor of w and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 39 = 3. Suppose 9 = 29*d - 26*d. Suppose -d*a - 11 = -23. Calculate the lowest common multiple of a and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/60*f**5 - 9*f**2 + 0 + 0*f + 1\/6*f**3 - 1\/24*f**4. Let k(s) = -4*s**2 + s - 2. Calculate 2*g(p) + k(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - 0.3. Let h = 3 + l. Let u = h - 8. What is the smallest value in u, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 8*t + 36. Solve t = 7*v - 4*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -79. Calculate the smallest common multiple of s and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348093 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(220) - sqrt(55)) + sqrt(55))\/sqrt(11) - ((sqrt(50) + sqrt(50)*-1 - sqrt(50))\/sqrt(10) + (sqrt(55)\/(sqrt(33)\/sqrt(3)))**2).\nAnswer: -5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1643226 times -1.5\nAnswer: -2464839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15817)\/2)\/((-21)\/42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -952359154391?\nAnswer: -952359154396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*8\/108*3. What is the derivative of 11*t**2 + 12*t**n - 21*t**2 - 7 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-1)\/sqrt(200)*5.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669434 is divided by 297?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -188 - -191. Suppose 0 = b*a - t + 3*t - 51, 5*a + 2*t = 85. Solve x = w - 3 + 1, a = 5*w + 2*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2478330817?\nAnswer: 15101, 164117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 2 - -2 - 2. Let j = 3.51075 - 13.51075. Which is the closest to o? (a) -5 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14518432 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 9*a. Let c be 92\/(a + -2 - -4). Let q = c + -31. What is the closest to -1 in q, 5\/6, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -971862069.9 from -3.\nAnswer: 971862066.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2 + 62*r + 12. Calculate y(12).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 15*n - 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -782, -3105, -6978, -12401?\n\"Answer: -775*u**2 + 2*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 + 1.3. Suppose -3*n = 12, -26 + 6 = 2*o + 5*n. Which is the biggest value? (a) -0.5 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 13. Let w(n) = -n + 2 + 2 - n. What is the least common multiple of w(-3) and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 574091.9ng?\nAnswer: 0.0000005740919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 15*y + 36. Suppose 3*s + 18 - 15 = 0. Let h be (-3)\/(-2) + s + (-280)\/16. What is the remainder when 14 is divided by x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -1 - 0\/(-1). Let b = 1 - r. What is the second derivative of 4 - 4 + 2*i - b*i**4 + 4*i**4 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f + 140. Let x(r) = -9*r - 141. Let h(m) = 2*b(m) + 3*x(m). Let d be h(-24). Solve -5*y + j + d = 0, -2*y - 2*j + 4*j + 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17068 from 147362.2906.\nAnswer: 130294.2906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158922 is divided by 19863?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -279*w. Let q(l) = -58*l**2. Determine s(q(y)).\nAnswer: 16182*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4236)\/(-4589)*39\/(-210).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 2. Let w = 44 - -16. Let g be w\/(-80) - (-2)\/(-280)*-97. Sort g, -3, h in decreasing order.\nAnswer: g, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p. Let y(h) be the third derivative of h**4\/12 - 5*h**2. Determine y(l(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-3)\/(-5))\/(3\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2617 - 87. Suppose -12 = -3*j, -5*f - 4*j = -5197 + 911. Let o = b + f. What is o rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 66*d**3 + 216 - 216 as z*d**2 + l + u*d**3 + o*d and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5480*c**2 + 4961*c**2 - 2236*c**2 + 3352*c**2 as u*c + k + v*c**2 and give v.\nAnswer: 11557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 3*p - 2. Let a be w(-2). Let t be ((-12)\/(-10))\/(2\/5). Suppose -t*i = i - a. Solve -2*f + i = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19320*z**3 + 1090753*z - 1090753*z)*(-4*z - 2*z + 5*z) - z**4 - z + z to t + d*z**2 + m*z**3 + u*z + q*z**4 and give q.\nAnswer: 19319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 21 = 5*p, 3*m - 15 = -490*p + 488*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70, 46, 172, 314, 478?\n\"Answer: p**3 - p**2 + 112*p - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 7*i - 28*i**2 - 2*i - i - 5*i + 24*i**2. What is n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**7\/14 - 3*j**6\/10 + 9*j**5\/20 - j**4\/4 - 2*j - 11. Let p(q) be the first derivative of f(q). What is g in p(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161125 to the nearest 100.\nAnswer: -161100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = -29*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -871 and 0.1.\nAnswer: -87.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, r: 2, t: 3}. Give prob of picking 1 t and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (1*(sqrt(76) - 1*sqrt(76)) - sqrt(76)) + sqrt(76))*-2)\/(-5*(sqrt(576)*-4 + sqrt(576))) + 1 + -4.\nAnswer: -3 - sqrt(19)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-40)*-5 + 20\/8. Suppose -15 = -4*l + v, 4*l - s*v + 4*v = 9. Solve -3*p = -d - 4*d - l, -2*d - 3*p = 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 613939*w. Let t(k) = -2*k + 43. What is t(r(v))?\nAnswer: -1227878*v + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1680, -6769, -15258, -27153, -42460, -61185, -83334?\nAnswer: -108913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + d = -22*v - 2, -4*v + 2*d + 8 = 0. Solve 5*r - 14 + 2 = -v*c, 0 = c - 2*r + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 56*c**2 - 11*c + 406. Let m be r(-56). Solve 0 = m*y - 1021*y + 8 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -3, 2768 in decreasing order.\nAnswer: 2768, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -28) + -50 + 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1135.5 and -401.6.\nAnswer: 733.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:33 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173.6 + 173.7. Let o = 3\/5 + -4\/15. Which is the closest to o? (a) -4 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -14111275.\nAnswer: -14111274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 - 7*v + 28. Give j(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*x - 12, 3*f - 3*x - 8 = -4*x. Suppose -4*h + h - 9 = -2*o, f*h = -9. Solve o*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -137, 2000718 in increasing order.\nAnswer: -137, 4, 2000718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82167713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18751698 and 3274106.\nAnswer: 206268678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -4, -5, -1, 138, 19 in decreasing order.\nAnswer: 138, 19, 2, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1958, 4, -36, 0, -1, 5, -29 in increasing order.\nAnswer: -36, -29, -1, 0, 4, 5, 1958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12861*w - 128662. Give v(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 4 = 5*h + 2*n, 2*h - 11 = n. Suppose -5*t - h*l = -25, 2*l + 21 = 2*t - 9. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*r - 29*r - 31*r - 108*r.\nAnswer: -414*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -609*c**3 + c**2 + 7*c + 7. Suppose 146*g = 125*g - 21. What are the prime factors of v(g)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 6. Let v(b) = 0*b**2 + 3*b**o + 7*b - 7 - b**2. Let l(c) = c**2 + 4*c - 4. Let u(h) = 7*l(h) - 4*v(h). Let f(k) = -k. Calculate f(u(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269614 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20439.94 milligrams to nanograms.\nAnswer: 20439940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1552 divide 330881744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 2\/159, 0.01, -0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17400 - 17413. What is the smallest value in u, -2\/113, -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3750)\/540 + (-1 + 0)\/(4\/(-28))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = f - 6, -7 + 18 = 3*m + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78 - 66*u - 92*u - 233 - 223*u - 147 wrt u?\nAnswer: -381","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -660300 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*o**2 + o**3 + 32*o**2 - 42*o**2 + 32*o to the form z*o + a + t*o**2 + b*o**3 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/3)*c))**(-43)\/((c*c**(2\/11)*c*c)\/(c**(-1\/16)\/c)) assuming c is positive.\nAnswer: c**(35599\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1676 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 greater than -642934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 5*g**2 + 3*g - 6. Let x be j(5). Suppose -100 = -x*o + 4*o. What is the highest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*t = 65*t - 3891 - 1182 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 253, 220, 153, 40, -131?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3310748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.935 + -0.605. Let u = y - 1.43. Which is greater: 0.9 or u?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w - 360 + 115 - 1147 - 128 = 0 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 13*j**2 - 3 + 12*j**2 to the form l*j + m*j**2 + g and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 57*d + 95. Let j be a(-27). Suppose -r = -5*p + 280, -3*p = 2*p - 3*r - 280. What is the highest common factor of j and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 17 = 87*k - 17. Suppose -4*l - 16 = 0, 0 = 2*n - l - 9 + 1. Let v(r) = r - 6*r**n + 4*r**2 - 5*r**2. Give v(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 7558476\nAnswer: 1\/7558476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133138, -133137, -133136, -133135?\nAnswer: -133134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-6)\/(-4)*(-5)\/(-15)*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9703 by -31.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 - 3. Suppose 5*s + 2 = 7*s. Sort 0.3, s, g.\nAnswer: g, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6287002447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 165454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1314014*g**2*o**3 - 4*g**2*o**2 + 69*g**2*o + g**2 + 1623*g*o**2 + 7*g*o - 3*g - 226*o**3 wrt o.\nAnswer: 7884084*g**2 - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 2 (c) -4524 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.69 + -19.69. Let t be 285\/21 - (-3)\/7. Suppose 0*y - t = h + 5*y, -2*h = 2*y + 12. Which is the biggest value? (a) h (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4883 + -4967 - (-47622)\/567\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001640051 rounded to seven dps?\nAnswer: 0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -75*j**2. Let k(r) = -129491*r. Give k(t(n)).\nAnswer: 9711825*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -222 + 228 + (-1 + -2 + -5 + 4 - -136).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(3 + sqrt(252))*-1*-3)**2.\nAnswer: 5184*sqrt(7) + 37584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 2:40 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128791505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:23 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfribbeibife. Give prob of picking 1 i, 1 r, and 1 b.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155063 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5742 = 15*f + 5652. Solve -f*v - 5 + 23 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.059, 866, -8, 0.1?\nAnswer: 866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -223538*l + 1341218. Calculate y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k - 20. Let q(l) = -l**3 - 4*l**2 + 5. Let z be q(k). Suppose -z*d = -0*d - 45. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((-7 - -10) + -2 + -5)) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7530008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22114878 (base 9) to base 5.\nAnswer: -10214314230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4\/5)*c)\/(c*c**(-7)))\/((c**(-1\/2)*c)\/(c*c**(1\/8)))*((c*c*(c\/c**(-5\/2))\/c)\/c*c*c*c**(-2\/9)\/c)**15 assuming c is positive.\nAnswer: c**(8831\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3 + 12*c**2 + 8*c = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 21523?\nAnswer: -21525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 4\/6 - (1 + (-100)\/3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-4)\/6)\/(10\/5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = m + 11, 0 = 2*m - 7*m + 3*d + 37. Suppose -13029 = m*z - 844. Let r = z - -4490. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13488055*o**3 - 216*o**2 + 20*o + 56?\nAnswer: 80928330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:26 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39828731 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 11:36 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97.4 + 108.69. Let k = -11.1 + n. Let y = 0.1900268 - k. What is y rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*p + 103050 + 66147 = -3651*p for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -1\/3*h**4 + 0*h**2 + 0*h**3 - 10*h + 0. Let i(k) = k**2. Calculate i(w(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*t - 344436 - 9244585, 5*y = -4*t + 7671235. Round t to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-594)\/(-306) + (-1)\/(-17). Solve -r + 2*i + b = 0, -r - 4*i - 27 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 + 6 = -3*i, 4*i - 10 = 2*h. Let l be 6 + h*(-4)\/(-3). Solve 4*v + 10 = -l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 7703324903.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2, -14 in descending order.\nAnswer: -3\/4, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1067 - 3469 = -2*z. Suppose -z = -5*j - 0*j - 3*g, 5*j - 1199 = -2*g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 1704*x**2 - 6768*x.\nAnswer: -3*x*(x + 4)*(x + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*g - 4, -7*g + 2*g = -4*x. Suppose -3*n = -g*c + 3693, -n + 2 = 5. What are the prime factors of c?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5357 is divided by 696.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0 - 5 + 8 - 22*c + 20*c. Let l(j) be the third derivative of -j**4\/24 + j**3\/3 - j**2. Suppose 0 = p + 3. What is p*l(r) + 2*z(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 90. Let z be y(-21). Let d = -4 - -3.6. Which is the third biggest value? (a) d (b) -2\/13 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(-4\/11)\/u)\/u*u)\/u)\/(u**(2\/133)*u))\/(u**(-31)*u\/u**(1\/10)))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1026\/(-90))\/(6\/(-260))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d - 13. Let x(a) = 2*a - 2. Calculate the remainder when 35 is divided by x(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4\/2 - v**3 + 2*v**2 - 5*v - 1. Let z be 12\/(-18)*1 + 14\/3. Does 13 divide u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 41, -5, 2 in increasing order.\nAnswer: -5, 2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 2, d: 5, k: 1, u: 2, y: 8}. Give prob of picking 1 c and 1 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/15 (b) -4 (c) -1\/8 (d) 4 (e) 13 (f) -10\/217\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.64, 4, -40, 507?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*h = -2, -1 = -2*l + 6*l + h. Suppose 0 = -2*r - 8 - 14. Let x = r + 13. Solve -t - 4*d + 10 = l, -2*d = 2*t - 5*d + x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.09*5\nAnswer: 15.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.75 + -0.25. Which is the third biggest value? (a) r (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 22 + -12 - 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 655424 less than or equal to 655427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) -1\/9 (b) 0.3 (c) 2\/5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6200)\/5208)\/(55\/(-264)*-4).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2772 - -210?\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40086585 and 1742895.\nAnswer: 40086585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 0*k + (-1 - 1 - 1)*(-8*k + 3*k - 3*k) - 58 + 58 - 2*k - 3 + 3 + 2*k)*(5 - 1 - 3).\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12198)\/(-14706)*43)\/(((-12)\/(-9))\/4).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-1 - -2) - 1. Let a be (-26)\/n - 9\/(-12). Suppose 2*p**2 - p**3 - a*p**2 + 2*p - 3*p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -405*d + 216. Let n(h) = -28*h + 15. Let i(p) = -72*n(p) + 5*o(p). Let a(t) = -10*t. What is i(a(u))?\nAnswer: 90*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 762534832 a multiple of 2449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3210 divided by -535.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 7. Let n be h(-2). Let m(a) = 2*a + 1. Let o be m(n). Let r = 11.6 + -9.6. What is the nearest to 0 in r, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -17.3?\nAnswer: 12.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -48278.43 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3467 = 31667. Find the common denominator of 149\/30 and i\/(-210) + 10\/35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 345 (b) 3.2 (c) -1\/10 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2747147.73 to the nearest one thousand.\nAnswer: -2747000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26528840 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61791*n**4 + 11*n*z**3 - 68*z**3 + 2*z + 7798 wrt n.\nAnswer: 247164*n**3 + 11*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1802305 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0 + 1\/4*u**4 + 0*u**3 - 14*u + 5*u**2. Differentiate j(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 10*h + 27*h - 18*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -547899, -547902, -547907, -547914, -547923, -547934, -547947?\n\"Answer: -y**2 - 547898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 974 and 9.\nAnswer: 8766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -492 + 688. What is the greatest common divisor of v and 868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66736954.5 rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 556, 558, 560, 562, 564, 566?\n\"Answer: 2*b + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 5 - 89*-5. Let n = 237 - a. What is the tens digit of 7\/(-28) - n\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9671263.\nAnswer: 7, 1381609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 1095. Let q = 128 + h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -139. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -81*a**5\/40 - 15*a**4\/8 + 8*a**3\/3 - a**2 + 222*a + 3. Factor h(d).\nAnswer: -(d + 1)*(9*d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -115632, -117375, -119116, -120855?\n\"Answer: x**2 - 1746*x - 113887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 40*f + 8. Let g be r(-1). Let x be ((-8)\/(-78))\/(2 - g\/(-18)). Factor 0 - 4\/13*j**3 + 10\/13*j**4 - x*j**5 + 0*j**2 + 0*j.\nAnswer: -2*j**3*(j - 1)*(3*j - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-4.7\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v**2\/11 + 80*v\/11 + 8\/11 = 0. Calculate v.\nAnswer: -2, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from {w: 12, e: 5, d: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1357*k - 85*k**2 - 677*k - 679*k.\nAnswer: -85*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 2640?\nAnswer: 60720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1029, 3628, 7799, 13542?\nAnswer: 20857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-9)*i)\/(i\/(i\/(i*i*((i\/((i*(i**(-2)*i)\/i)\/i))\/i)\/i))))\/(((i*i\/(i*i**(4\/11))*i*i)\/i)\/i*i\/i**(3\/2)) assuming i is positive.\nAnswer: i**(173\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149\/188 - -2\/47. Let i = 136 + -135.974. Let v = i + 0.174. What is the second biggest value in x, -5, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -109. What is the remainder when 91 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -177*a - 1944. Let g be h(-11). Solve -4*q - u = -12, 12 - 4 = g*q + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)\/(t**(-8)\/t)*(((t*t**(2\/11))\/t*t)\/t)\/t**4*(t*(t\/t**(-3)*t)\/t*t**(1\/6))\/(t**(2\/3)\/(t*t**4)) assuming t is positive.\nAnswer: t**(301\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21441 less than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 456\/231) + (-12)\/(-28). Which is the second smallest value? (a) 0.1 (b) l (c) -0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 52*m**2 + 4*m. Let w(s) = -s. What is y(w(r))?\nAnswer: 52*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 165*b**2 - 84*b - 161. Give o(-82).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 2*c + 3*c + (-c - 2*c + c)*(-1 + 1 + 2) + 342*c - 280*c + 551*c.\nAnswer: 610*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**7\/120 - u**6\/120 - 4*u**3\/3 + 3*u**2. Let v(g) be the first derivative of a(g). Find the third derivative of v(q) wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200260465 + -1?\nAnswer: -200260466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 208 = 4*o, o - 179 = -3*j - 23. Let d = -3 - -16. What is the greatest common factor of j and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2. Let t(o) = -3*o - 21. Let i(b) = 8*s(b) + t(b). Calculate i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + z - 3*z - 4 = 0, -5*z = -4*l + 9. Is l bigger than -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(0*s - s + 4*s) + (-6*s + 7*s - 13*s)*(6 - 8 - 1)*(2 - 1 - 5) to the form i*s + p and give i.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1364567 and 58144?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 - (-25 + 26)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028*0.18671.\nAnswer: 0.00522788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -97*w**3\/3 - 9*w**2 + 3*w. Suppose 7*r = r + 48. Let y be i(r). What is y rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -632\/5 - 14\/5*x**2 + 2216\/5*x.\nAnswer: -2*(x - 158)*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 194 = 14. Suppose 0 = -170*a + 168*a + l. Let o(r) = r**2 + r - 1. Let x(n) = -2*n**2 - 7*n + 1. Let i(h) = 3*o(h) + x(h). Give i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.32 - -1.32. Let v = f + 76. Let h = v - 23. Which is the fourth biggest value? (a) -5 (b) h (c) -1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 6) in base 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeww when four letters picked without replacement from wwewwwwwe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 477 = 6*k. Let b be ((k\/2)\/(-3))\/((-28)\/(-56)). Let u = -19 - b. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 60053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61234847\/250 - 244939. What is the common denominator of 31\/8 and j?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1884949, 3769797, 5654655, 7539529, 9424425, 11309349, 13194307?\n\"Answer: j**3 - j**2 + 1884844*j + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2929*v**4 - 2838*v**4 + v**2 - 95 + 11 wrt v?\nAnswer: 2184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183647351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-2 - (6 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*z**3 + 13 + 4*z**3 - 4.\nAnswer: -2*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7.6 + -0.2801698\nAnswer: 7.3198302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4308*s + 90363. Calculate g(-21).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -6. What is the smallest common multiple of 26 and b?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -0.2, -1, 0.02, -8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15805b (base 14) in base 8?\nAnswer: 2674501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 894 - 894. Which is the nearest to 7? (a) n (b) -5 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 541 - 539.52. Let m = r + -0.48. Which is the smallest value? (a) 4 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9698574.\nAnswer: 2, 3, 1616429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85270 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/6)\/4)\/((-40)\/36)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*a + 52 = 831 + 4551 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4038 and 2856212.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/((60\/(-786))\/(-5))?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2730 and 9210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 + 10*g**2 + 12*g - 5. Let r(d) = -2*d**3 + 2*d**2 - 4*d. Calculate -l(o) - 3*r(o).\nAnswer: -o**3 - 16*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80493 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 153 - 18. What is the highest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 + -290. Is 8 a factor of (41 + f)\/(13\/117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1)*-6*2 + (sqrt(2448)*-2 + sqrt(2448) - sqrt(2448))*-1 + (sqrt(2448) - 2*sqrt(2448))*2)**2.\nAnswer: 3168*sqrt(17) + 296352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 3. Let f be x(3). Which is bigger: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74077 (base 14) to base 11.\nAnswer: -1813aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-268)\/1876)\/((-3)\/((-9)\/(-12))*(-9)\/(-45)).\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 + (-1)\/(-1). Factor -8 + 10 + 2*w**u - w**2 + 3*w.\nAnswer: (w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10873a - -2?\nAnswer: -108738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - -38) + -99 - (-1 - (94 + 2)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.279528187 to 3 dps.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/30)\/(32\/(-20) - -1). Which is the closest to -0.1? (a) o (b) 5 (c) -1\/10 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - 1.1.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (803\/(-2409))\/(3\/1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 5*n + 31. Let u(f) = f**2 + 2*f - 15. Let w(y) = 3*q(y) + 5*u(y). What is w(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-1701)\/(-135))\/(-9))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 676861, 2707494, 6091883, 10830028?\n\"Answer: 676878*w**2 - w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*c - 10 - 6, 2*y = -c + 25. Calculate the common denominator of -3*6\/y*5\/(-18) and 73\/58.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/28*17*(-6)\/(-102).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7902 and -101\/9658.\nAnswer: 86922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122.7 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.113 * -0.05029335.\nAnswer: 0.00568314855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-5 - 105\/(-14)). Suppose 4*n - w*n = -13. Solve n*i = 7*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020508 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*m + 3*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4 - 248*l**3 - 23488*l**2 + 48632*l + 71868 = 0 for l.\nAnswer: -53, -1, 3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2473*z = -2481*z + 632. Solve -80*g - 1 = -z*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3506 - 0.5206. Which is the smallest value? (a) 3 (b) 71 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48578612 a multiple of 2258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(5)*-1)**2*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*f + 4, -23 = -2*f - t - 4*t. Find g such that 23*g**4 - 8*g**f - 14*g**4 - 8*g**5 + 16*g**3 - 13*g**4 - 8*g + 12*g**2 = 0.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -59594.\nAnswer: -1\/59594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55277010.\nAnswer: 2, 3, 5, 67, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 0.5, -1\/10, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v. Let c(j) be the third derivative of -3*j**5\/20 + 5*j**3\/6 - j**2 - 3*j. What is d(c(i))?\nAnswer: 126*i**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1701.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 3)*15987172\/(-10). Let q = -3838195 - m. Suppose v + 22655391 = q. What is v rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 7}. What is prob of picking 1 w and 2 l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:43 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115720 and 46552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.04 - 0.04. Let x = n + -12. Let m = x - 8. What is the second smallest value in 5, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 29 = 19*o + 32. Solve -o = -14*y - 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(700) - sqrt(252)*-1) + (3 + -5 + sqrt(7) + sqrt(7) - (-2*sqrt(7) + 0)))**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0257 - -0.4743. What is the closest to -0.05 in -0.3, h, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from zzwdzdbdwzbdbzwdxdd.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5731697.\nAnswer: 47, 121951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from jjoentnnjo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 419, -1, -148 in ascending order.\nAnswer: -148, -22, -1, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/2 (b) 4 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4061, -4103, -4179, -4295, -4457, -4671, -4943?\n\"Answer: -i**3 - 11*i**2 - 2*i - 4047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 26 = n, -n - 4*n + 3*z + 245 = 0. Let p = 131 - 26. Let k = p - n. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*((k\/(k\/((k*k**(-18))\/k)))\/k)\/k*k**(-8) assuming k is positive.\nAnswer: k**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/15355368 and 151\/1176.\nAnswer: 107487576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1599 + 1350 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = n - 6, -3*f - 3*n - 2*n = -20. Suppose -a - 58 = -74. Solve 0 = f*k - a - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237691885721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 170, 203, 266, 365, 506, 695?\n\"Answer: s**3 + 9*s**2 - s + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 5*k + 105. Is 25 a factor of (-32)\/k + ((-586)\/3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**2 + 66*n - 18. Let q be v(-5). Solve -3 = -2*o - o + u, q*o = 4*u + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.1. Let d = -45216 + 45217. What is the closest to z in -0.3, d, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 38*i + 2715 = 0. Suppose -2*f + 238 = 4*z, 3*z = -3*f + 129 + 225. Let o = i - f. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -83 + (-342)\/(-11).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 84 - 84.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 290*n**2 - 1276*n - 104074. Calculate m(-96).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 4*u**2 + 2*u + 6. What is x(-4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*(-40)\/(-4). Let b(q) = q**3 + 5*q**2 + q + 5. Let d be b(v). Suppose -u + d*u + 21 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 140.864. What is k rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -127. Suppose 4*j - r = -4*c + 9, 2*j - 8 = -3*c. What are the prime factors of (2 - -21) + c*(-1)\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5\/h)\/h)**(-3)*(h*h*(h\/h**29*h*h)\/h*h)**(-7\/3) assuming h is positive.\nAnswer: h**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 159654 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 627, 676, 751, 846, 955?\n\"Answer: -h**3 + 19*h**2 - h + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 14, 1, -2\/7, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0594 take away -124905?\nAnswer: 124904.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 19*r = -2*c, -3*r = c - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -510*r + 549*r - 323193. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 1 + 4*n.\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 19\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 229 = 2*s, 3*s + 41*c = 38*c + 348. Calculate the greatest common divisor of s and 846.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/26379 and 1\/27.\nAnswer: 26379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 72*w + 2915. Determine i(-50).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312 + -312. Let c be b*((-4)\/8)\/(-1). Suppose -2\/3*a + 1\/3*a**4 - a**2 + c + 0*a**3 = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16990.37mg to kilograms.\nAnswer: 0.01699037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*b + 19 = 3*t, -2*t - 5*b - 23 = 0. Differentiate -27 + 54*k**2 + t - 40 with respect to k.\nAnswer: 108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - (-1 - (1 - 3)))\/1. Let k(g) = -4*g**3 + 2*g**2 - 21*g + 20. Is k(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 9:29 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 7 = 27, -5*l + 4*u + 5 = 0. Let p = -60952 + 60965. Calculate the remainder when p is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 1. Let r(o) = -o - 6. Let u(b) = -5*i(b) + r(b). Let j be u(-1). Suppose -10 - 15 = -j*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 71 + 6*a - 78.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012077.\nAnswer: 3, 11, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49907 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c, 4*c = -j + 104 - 130. Let v(k) = k**3 + 7*k**2 + 6*k - 4. Give v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t**2 + 5*t**2 + t**3 + 0 - 1. Give q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1836, 1857, 1902, 1971?\n\"Answer: 12*l**2 - 15*l + 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, n: 1, u: 11, q: 1, j: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4) + -3 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*a - 11. Suppose 2*v - 2 = 4*m - 0*v, -10 = 2*v. Let l = a + m. Solve l*y = 2*b + 8, 3*y + 3*b = 4*y - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n**2 - 2338*n + 7132. Calculate s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 18 = -11*m. Let i be ((-3)\/6)\/(m\/6). Let l = -2.2 - -1.8. Which is the smallest value? (a) -2\/11 (b) l (c) i (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1823*b**2 + 29 - 29)*(-b - 1 + 1).\nAnswer: 1823*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -4 (c) -14.7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -594, 2, -3, -3\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312539225.\nAnswer: 5, 59, 211891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350398890*i**3 - 4813*i**2 - 3*i + 1708 wrt i?\nAnswer: 2102393340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.055 and 382?\nAnswer: 381.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let f(n) = n**2 + n + 2. Let d be f(s). Solve -2*b = -4*k - 0*b - 8, -2 = -2*k + d*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*i = x - 40, 3*i - 1197 + 841 = -116*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 452\/137 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*c**4*y + c**4 - c**3 + 2*c - 80*y wrt c.\nAnswer: -312*c**2*y + 12*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3078\/15*50\/15 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-2)\/1) + 8. Suppose 2*r - o = x, -5*r + 0*x - x = -6. Let c(m) = 2*m - 4. What is the remainder when c(3) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -20*v - 100. Let f(b) = 4*b + 1. Let h(c) = 3*f(c) - o(c). List the prime factors of h(6).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.67847mg to grams.\nAnswer: 0.05867847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 + c. Let n be y(1). Let l(r) = -2*r**2 + 3*r**2 + 2*r**2 - n*r**2. Let m(p) = -24*p**2 + 12*p**2 + 11*p**2. Give m(l(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 328819, 328778, 328737?\n\"Answer: -41*p + 328860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 - 382*x**4 - 6478*x**3 + 673798*x**2 - 7999056*x + 7332120 = 0. What is x?\nAnswer: -155, -73, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + 456. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 66 - 36 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**2 + 2*c - 2. Let f be ((-4)\/(-6))\/(5\/(-15)). What is the remainder when j(f) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11223452839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1.189 (b) -21 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189615.\nAnswer: 3, 5, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtnrbje. What is prob of picking 1 b, 1 n, 1 t, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 20*m + 123 + 6 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + f - 1. Let x be y(-2). Suppose -1 = 4*o - n - x, -n - 4 = -2*o. Find the second derivative of o*h**3 - h + 5*h - 2*h wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 4\/(-14) + 2. Let b = 161 - 161.3. What is the nearest to 1\/2 in u, -1, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*k - 4, -5*j + 4*k = -290. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 51 = 52 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3092, 3090, 3086, 3080, 3072, 3062?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 3:33 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -1084?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2328*h - 16301. Calculate n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 4*j**3 - 6*j**3 - 11*j**3.\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4370*h - 15145 - 88248 - 55236 = 24911 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/31 + -13\/93. Let q = -1.6 + 1. Let m = 0.2 + q. What is the smallest value in m, 1\/6, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1312236 by 18.\nAnswer: 72902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ea60a (base 16) in base 2?\nAnswer: 1011101010011000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/987 and 43\/361326.\nAnswer: 16982322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101537052.\nAnswer: 2, 3, 131, 64591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3 + 1 + 1 - 2. Let q(o) = o + 2. Calculate -2*a(t) + 3*q(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0*k**3 + 0*k**6 + 0*k**5 + 0 + 0*k**2 + 1\/12*k**4 - 1\/42*k**7 - 3*k. What is the third derivative of j(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46.2 or 1\/1564?\nAnswer: 1\/1564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((sqrt(117) - -1*sqrt(117))\/sqrt(9) + -2 - (5 + (((sqrt(65) - 1*sqrt(65)) + sqrt(65))\/sqrt(5))**2)) + -4).\nAnswer: -4*sqrt(13) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.53 to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 27*m**2 - 12. Let f be n(27). Let i(c) = c**2 + 11*c - 7. Give i(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*x + 1727, 5*m - 1735 = 29*x - 32*x. Suppose x - 205 = -10*g. Let l be (-1)\/(-1) - (-2)\/2. Sort -5, l, g in descending order.\nAnswer: l, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 - 64332*f**2 - 257376*f - 257392 = 0. What is f?\nAnswer: -2, 16087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 64. Suppose -107 = -5*o - q. What is the greatest common divisor of 48 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or 0?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 r when three letters picked without replacement from {i: 2, r: 3, g: 6, o: 1, k: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -10. Let p = -7 - x. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6207\/17 - -365. Let m = 1.9 - 0.8. Let w = 1 - m. What is the closest to w in g, 0.3, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -13 + -3 + -23 + 22.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*t + 1250*t = 3271*t - 36784 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19912, -17567, -15222, -12877, -10532?\n\"Answer: 2345*q - 22257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - k)*(-3*k + k + 4*k) - 3*k**2 + 2*k**2 - k**2 + 9*k**2 + 9 - 9 - 3*k**2 + 3*k**2 + 2*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3824623 to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2709649398 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 330709399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m. Suppose m = 2*q - q - 51. Suppose p - 56 = -5*t, 5*t - q = -0*p + 4*p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 27327*z + 354744.\nAnswer: 3*(z - 9096)*(z - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.57 or -232.16?\nAnswer: -232.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 5*n**2 - 5*n + 6. Let i be 3\/1 + 5 + -4. Let z be b(i). What are the prime factors of (-153)\/(-2)*z\/(-45)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 17*x**9\/168 + x**8\/112 - x**5\/20 - 32*x**3\/3 + 178*x**2 - 4*x. What is the third derivative of c(h) wrt h?\nAnswer: 6120*h**3 + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17959 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 113 and 3892.89289.\nAnswer: 4005.89289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -52*r**2 - 38*r**2 + 44 + 31*r + 29*r**2. Is u(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614*w + 3*w**2 + 230 + 0*w**2 - 232.\nAnswer: 3*w**2 - 1614*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*d + 2, 2*s - d = -4 + 14. Suppose 0 = -s*u - 3*u + 40. Factor -4\/7*t**2 + 2\/7*t + 0*t**3 + 0 - 2\/7*t**5 + 4\/7*t**u.\nAnswer: -2*t*(t - 1)**3*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -68*z + 5. Let q(n) = -918*n + 68. Suppose 46*i - 180 = 82*i. Give i*q(k) + 68*d(k).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*r + 21 = 219*r - 3*t, -3*r - 2*t - 3 = 0. Factor -15\/2*u + 9\/2*u**2 + r.\nAnswer: 3*(u - 1)*(3*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Expand (0*k**3 + 7*k**3 + k**3)*(145 - 145 + 127*k).\nAnswer: 1016*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6192828l to millilitres.\nAnswer: 619.2828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {p: 2, w: 3, f: 3, g: 1, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5236 is divided by 82.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -11c8?\nAnswer: -11c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 12*r + 13*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 710541.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:47 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a - 362. Determine j(-46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/20)\/(-4)*5. Which is the nearest to 1\/3? (a) -1 (b) -24 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254568.414 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 - 0?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/24 - 3*y**3\/2 + 15*y**2. Calculate r(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**2 + 0*r + 4\/9*r**3 - 10 - 1\/6*r**4. Determine b so that l(b) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*m = 1 + 3, m = 0. Let q(o) = -21 + 648*o - 669*o + 12. List the prime factors of q(h).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-3)\/(-2))\/3)\/(-10*(-4)\/64). Factor l - 4\/5*u**2 + 2\/5*u**3 - 2\/5*u.\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6280 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59018\/29, -3, -4, -4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -159\/13 in 1\/6, 0.3, 0, 183, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -343 (b) 2\/9 (c) 1419 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7557272236?\nAnswer: 2, 67, 197, 143141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -145712\nAnswer: 14571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/878 and -31\/14.\nAnswer: 6146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 6*p - 2. Suppose 5*k - 26 = 9. Calculate the remainder when 19 is divided by v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3738 - -5119. What are the prime factors of y?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/39 + 58\/195. Suppose -b = 2*i, 0 = 2*i + i - 3. Sort h, -6, b.\nAnswer: -6, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1332\/7 + 190. What is the third smallest value in 0, 2, -3\/7, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b + 4*b + 8*b + 5*b. Let c(s) = -17*s**2. Calculate c(t(n)).\nAnswer: -1088*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9}. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**3 - 110*t - 1. Let z(w) = 11*w**3 - 193*w - 4. What is -7*o(n) + 4*z(n)?\nAnswer: 2*n**3 - 2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 17 = -4*p. Suppose 13 + p = 2*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27259965?\nAnswer: 3, 5, 19, 31883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:12 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/61 and 23\/3234525.\nAnswer: 3234525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 10:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 41 + 10)*(2*k**2 - 5*k**2 - k**3 - k**3 - 15*k**3 - 21*k**3 + 26*k**3 + (-3 + 3 - 1)*(-k + k - k**3)) to x + f*k**3 + w*k**2 + c*k and give f.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*t**2)*(-4 + 0 + 3) - t**2 - 4*t + 4*t)*(-77*t + 77*t + 2*t**3).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -13*a**4\/24 - 4*a**3\/3 + 12*a**2. Let v be b(-2). Suppose 2*q - v = 5*y, -5*y - 21 = 3*q + 2. Let z(k) = 3*k. What is z(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8164 and 1570?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022121122 - 11010?\nAnswer: -1022202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9060 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 2, u: 1, m: 2}. What is prob of picking 2 m and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o - 1. Let c(h) = -222*h**2 - 2*h. What is c(d(g))?\nAnswer: -150072*g**2 - 11492*g - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/11, -2\/5, 2, 7 in increasing order.\nAnswer: -2\/5, 2\/11, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -36 - (-4076 + 4056).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-778)\/1 + 6\/(-3). What is h rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 + 3 = 0. Let r be 12*4*x\/(-4). Suppose -r*s + 15*s = 99. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30046872?\nAnswer: 2, 3, 1251953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*m**3 - 3735*m + 3737*m - 3 + 1 + 128*m**3 as f*m + h*m**2 + t + k*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4, 35*q - 4 = 3*i + 37*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1*(-5 + 1). Let c = 1705 - 1703. Suppose 0 = 2*r - 2*x - 15 + 3, 4*x = -4*r - 8. Solve -u + r = -d, c*d - u = -6*u - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2527 is divided by 757.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 17 = -4*h - 0, 2*x + 2*h - 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -g - 11, 4*g + 14 = -j + 2*j. Solve 2*l + j*l = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -998744 minus -29?\nAnswer: -998715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -245? (a) -1\/16 (b) -5 (c) 0.2 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.1. Let o = z - 0.8. Which is the third biggest value? (a) -3 (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102\/5*j**3 + 66*j + 3\/5*j**4 - 111\/5 - 324\/5*j**2.\nAnswer: 3*(j - 1)**3*(j + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3384365 is divided by 307.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y + 973 = -65*y + 2572 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-598*(-46)\/2990)\/(6\/(-15)*(-1)\/(-2)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/132596 and -64\/165745?\nAnswer: 662980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5436 = 10*l. Let b = l - 57. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u - 174 - 348 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16.75*13\nAnswer: 217.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11476 and 7372.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 4. Let r(u) = u + 1. Let i(a) = o(a) - 4*r(a). Let g(q) = -16*q. Give g(i(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 17*g + 10. Let x(f) = f**2 + 9*f + 5. Let p(m) = 2*r(m) - 5*x(m). Is p(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/24 - 19*d**5\/20 + 19*d**4\/12 + 4*d**3 + 39*d**2 - 3*d. What is k in a(k) = 0?\nAnswer: -12, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2409400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 1. Let v(b) = 28*b + 4. Let d(t) = 11*l(t) + 2*v(t). Let k(r) = -r**3 - 5*r**2 + 2*r + 6. Suppose -f + 1 - 6 = 0. Let w be k(f). What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t\/(t\/(t**9\/t)))*t)\/(t*t**(2\/9)) assuming t is positive.\nAnswer: t**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89858 and 1004?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-18) - (-2)\/3. Suppose c*o - 2 = -11. Let u = -2 + o. Let q(d) = -d**3 - 6*d**2 - 4*d - 2. Calculate q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 24. Let q(i) = -35*i + 13. Is q(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -75*r**2 - 4*r + 2. Let o be h(2). Are o and -305 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(720)*-2)**2 + sqrt(720))*-5*1.\nAnswer: -57600 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*f = 2*f - 12, 14 = 2*d + 3*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 28 = 6. What is the least common multiple of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453157980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 285823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12602 is divided by 2019.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2473, 2485, 2625, 2959, 3553, 4473, 5785, 7555?\nAnswer: 9849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 137*m**8\/42 + 671*m**4\/24 - 150*m**2 - 3. What is the second derivative of t(g) wrt g?\nAnswer: 21920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-3)*2640\/(-64). Let v be ((-28)\/70)\/(4\/a). Solve 19 = -4*y + v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162 times 0.3?\nAnswer: 1848.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (39\/(-6))\/(1\/(-4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1343 - 1347. Put 3, 5, -0.5, r in descending order.\nAnswer: 5, 3, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.20253 decades to millennia.\nAnswer: 0.9120253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-1 - -11) + 5)) + -22 + 32\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264662 is divided by 132317?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*s - 5*v, -2*s - s + 4*v - 7 = 0. Let y(i) = -i**3 + i**2 - i + 2. Let n be y(0). Solve 0 = s*x - 4*f - 13, -4 = -n*x - 3*f - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*x + 14 = 125, 3*x = 9. Is s a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/9 (b) -2\/3 (c) 0.05 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 2.504?\nAnswer: 1.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 49 = 6*h. Let t(k) be the second derivative of -2\/75*k**6 - 1\/10*k**5 + 0 - 4*k + 1\/15*k**3 + 1\/5*k**h - 1\/10*k**4. Factor t(n).\nAnswer: -2*(n + 1)**3*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*y = -2904774 - 619802. What is the greatest common divisor of 684 and y?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 divided by -21?\nAnswer: -871\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -0.3. Suppose -40*w = -3*t - 35*w - 29, -31 = -5*t - 3*w. What is the closest to n in 0.26, -3, t?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let v(q) = 6*q**2 - 8*q + 0*q - q**2 + 6*q**2. Let g(f) = 7*f**2 - 5*f. Let b(m) = 8*g(m) - 5*v(m). Determine w(b(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000110744 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 24*t - 279. Let v be s(12). Solve v*i + 20*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 10*l**2 + 13. Let j be k(10). Let b be (2 + 10)*j\/(-2). Let z = b - -157. List the prime factors of z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {k: 1, a: 2, f: 2, n: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 565*d**2*p**2*w - 9*d**2*p - d**2*w**2 + 2647*d*p**2*w**2 - 9*d*p - 4*p*w + 191*w wrt p.\nAnswer: 1130*d**2*w + 5294*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 11*v**2 + 5*v + 7. Let s be p(5). Suppose -s*u = -2*u. Solve u = 2*j - 10, -2*c = -j + 3*j - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciiikiicdddciidd. What is prob of sequence icii?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624621, -624496, -624345, -624156, -623917?\nAnswer: -623616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/17, 3, -2, -7.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 11052*v**2 + 6278648*v + 12513120.\nAnswer: 4*(v + 2)*(v + 796)*(v + 1965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183\/4*o**2 + 0 - 3\/4*o**3 - 45*o = 0 for o.\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36052*d + 17172*d - 119*d in the form c*d + h and give c.\nAnswer: -18999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/1080*24)\/(2\/(-12)*7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*m**5 + 52*m**2 + 4*m wrt m.\nAnswer: -3720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 1 + 4. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -16*a + 6. Let l be b(0). Calculate the least common multiple of 6 and 1\/2*(l - -24).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235 and 132197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32311 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1872747 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*r**3 + 4773*r**2 + 680659*r wrt r.\nAnswer: 120*r + 9546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 13\/4, 4\/5, -11, -0.4, 3?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 - 4*l**5\/15 + l**4\/8 + 10*l**3\/3 + 2*l**2 - 598. Calculate f(16).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 70 = 3*g - 0*g, -3 = 5721*r - 5716*r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -57.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 515*j. Let a(m) = 34*m. Determine q(a(x)).\nAnswer: 17510*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 13*u**2 + 78*u - 892. Let l be f(14). Which is the third smallest value? (a) l (b) 0 (c) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**23\/x*x\/((x*x**(-2\/23)*x)\/x) assuming x is positive.\nAnswer: x**(508\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*h**4*p - 56*h**4 - 2*h**3*p - h**2 + 22*h*p - 2461*p wrt h?\nAnswer: 888*h*p - 1344*h - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(7) - sqrt(7)*2))**2 + sqrt(7) + sqrt(112)*1 + 4*(sqrt(21)\/(sqrt(3)*-2*-4))**2.\nAnswer: -3*sqrt(7) + 375\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*l**5 - 19*l**2 + 595*l?\nAnswer: 380*l**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) + sqrt(275)*-2) - -1*(sqrt(275) - (sqrt(275) + (sqrt(275) + 0 - sqrt(275)))))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-231)\/(-45) + (-2)\/15. Suppose g*d + 2*o = -0*o - 1060006, -o = -4*d - 847997. Round d to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 16*b. Suppose p + 1 = 0, -c + 0*p - p - 3 = 0. Let s(o) = -15*o. Let u(k) = -2*k. Let z(t) = c*s(t) + 14*u(t). Give z(x(a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(11 + 2 + 6)*(2 - 2*r - 2)*((r**3 - 3*r**3 + r**3)*(6 - 5 + 2) - 3*r**3 + 7*r**3 + 5*r**3).\nAnswer: 228*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59563?\nAnswer: 7, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 7*l + 1. Let z be k(-5). Let d be (121\/4)\/(9\/36). Calculate the greatest common factor of d and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858974906?\nAnswer: 2, 37, 2791, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1002472539 to the nearest integer?\nAnswer: 31662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*d - 35199 = -28023 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4992880607812.72 + -1\nAnswer: -4992880607813.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = 61 + 313. Solve -5*f + 0*j = j + m, -4 = 4*f + 2*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*i + 35000025, -n + 14000006 = -3*n - i. Let g = -3 - -2. Let u be n + (-1 + 1 - g). What is u rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412 is divided by 168?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwnxs. Give prob of picking 1 j and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 9:02 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 17*c. Let s(d) = 136 - 21937*d - 21944*d + 43882*d. Calculate v(s(n)).\nAnswer: 17*n + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**0))\/m*m**24)\/((m**(1\/9)*m)\/(m**(7\/9)*m)) assuming m is positive.\nAnswer: m**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-60))\/(4\/6). Suppose 3*j = -3*b + 6, -g = -3*j + j - 3*b. Solve 2*o + 12 = -u, 3*o - 3 = 5*u + j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -8, -2, 68 in decreasing order.\nAnswer: 68, 12, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**4\/12 - 220*i**2. Let c(b) = -113*b**2. What is y(c(v))?\nAnswer: 226*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.081 + 0.051. Round l to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310 - 216. Let t(f) = 5*f - 7. Let h be t(2). Suppose -h*b - 15 = -z - 0*b, -105 = -4*z - 3*b. Calculate the remainder when v is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437 - -957. Let d = 516 - q. Sort -3, -0.2, 5, d in decreasing order.\nAnswer: 5, -0.2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-105)\/(-10))*6*(54\/(-6))\/3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d0a + 188?\nAnswer: 2094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(98) + sqrt(98))**2 + 5 + sqrt(98) + sqrt(98)*-2*-6 + 1.\nAnswer: 147*sqrt(2) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2526912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (3 + -15)) + 8 + (8 - (-1 - -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0 + 3 + 0 + 4*k + 0*k. Let l be z(3). What is the highest common factor of 105 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246058\/3 + 79279. Let q = d + 213875\/78. Calculate the common denominator of q and -41\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -t - 162. Let s(n) = 1261*n + 98. Let o be s(t). What is o rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 2 + 2)*(4*r**2 - 3*r**2 + 0*r**2) - 258*r**2 + r**5 + 8*r**4 + 258*r**2.\nAnswer: -r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90601*b**3\/2 - 4529749*b**2 - 60199*b\/2 - 50.\nAnswer: (b - 100)*(301*b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/10 - i**4\/4 + 3*i**2. What is the second derivative of s(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**20*t*t))\/t)**(-1\/19) assuming t is positive.\nAnswer: t**(22\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = 2*p, 3*a - p - 4 = -0*p. Let r(x) = 2*x - x - a*x + 3*x. Let g(k) = 11*k. Let q(c) = 6*c. Let d(u) = 4*g(u) - 7*q(u). Determine d(r(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17b (base 12) to base 7\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-227386)\/(-20) - (-222)\/(-740) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38797564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6314836.\nAnswer: 2, 11, 143519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -28. Suppose 5 - k = 5*u - s, u - 3*s - 6 = 0. Solve -5*f + u + 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/840 + h**6\/80 + 3*h**5\/80 + h**4\/24 + 41*h**2 + 2*h - 48. Let z(g) be the first derivative of n(g). Factor z(b).\nAnswer: b*(b + 1)**2*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16246 - -125630?\nAnswer: 145206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.728 - 12.328. Which is the nearest to 1? (a) s (b) -0.1 (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0 - 9\/2*c**2 - 3*c - 5\/6*c**3. Let n(u) = 2*u + 4. Determine -3*g(a) - 7*n(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z - 22. Let a be n(-15). Suppose 7*x - 144 = a. Suppose x = 5*p + 11. Solve 4*s - 14 = 2*m, -p*s - 2*s = -5*m - 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892961 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -6, 152, 378, 678, 1058, 1524?\nAnswer: 2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 4*s - 7. Let k(x) = -3*x**2 + 5*x - 7. Determine 5*j(y) - 4*k(y).\nAnswer: 2*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(4\/(-8) + -2). Let l(m) = 2*m**2 - 5*m - 5. Calculate the remainder when l(q) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 310, 432, 552, 670, 786?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 1. Let v be f(-1). Is 214\/v + 3\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 126*o**2 + 12 - 12 - 15*o**2.\nAnswer: 111*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64438906 rounded to 3 decimal places?\nAnswer: -0.644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(78)\/sqrt(54))**2 + 3.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -75, -72, -67?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 927349 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 186097608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/3 - 14*q\/3 - 40\/3 = 0. Calculate q.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4 - -3d?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = 3*u. Let r = 5297 + -5295. Solve -n - r = -u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 13*u**2 - 10*u + 13. Let x be i(-12). Let c(n) = -n**3 + 13*n**2 + 14*n - 12. Let v = -26 + 40. Let j be c(v). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -5*d**7\/42 + 6*d**5 + 80*d**4\/3 + 40*d**3 - 2994*d. Find j, given that g(j) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j - 36 = -59*j - 335 + 4251 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 - 5*f**4\/4 - 7*f**3\/3 + 25*f**2\/2 - 23*f. Is d(-14) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-366)\/(-18) + -20 - (-11)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 23*j + 90. Determine c(9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 84050*d**5\/13 + 7478810*d**4\/13 + 199808998*d**3\/13 + 1402339702*d**2\/13 - 2109216*d + 10296 = 0.\nAnswer: -39, -11, 2\/205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*q - q - 47 = 0, 5*q = -2*o + 14. Find the second derivative of 13*p**4 + 0*p**4 - o*p + 19*p wrt p.\nAnswer: 156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8*(9 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/7, -4\/17, 3, -1\/2 in increasing order.\nAnswer: -1\/2, -4\/17, 3, 33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121397757 a multiple of 4841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9384046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 7. Let w = t + 7.9. Let j = -5 + w. Is 0.1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*v - 34 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156267141263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cid when three letters picked without replacement from {w: 1, r: 7, c: 3, i: 1, d: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -24. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, v: 1, p: 1, m: 3}. Give prob of sequence vf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6102 rounded to 1 decimal place?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let y be (g\/8)\/((-9)\/6). Suppose -w - 5 = -0*w. Which is the nearest to y? (a) -1 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - (4 - 15 - (-3 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acu when three letters picked without replacement from {a: 1, w: 2, u: 4, p: 2, c: 1, o: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.29 + -19. Let q = 0.29 - p. Which is the second smallest value? (a) q (b) -1.8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32a + -280?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (486\/60 + 4 + -13)*32\/192.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2 - 2. Let o(d) = 7*d**2 + d + 3. Determine 3*h(z) + 2*o(z).\nAnswer: -4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-40)*-22*2. Is (-1738)\/l + (-2)\/(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7329013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/2*-2174*7\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:51 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from uttuvtttvtutv?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-5 + 6*sqrt(6)\/sqrt(2).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -4\/5*j**3 + 24\/5*j - 58 - 1\/10*j**4 - j**2. Factor i(o).\nAnswer: -2*(o - 1)*(o + 3)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829386, 3317457, 7464236, 13269717, 20733894?\nAnswer: 29856761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 24*h - 13. What is the units digit of z(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 48 = -697*a + 688*a, 12 = o - 5*a for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 39. What is the remainder when 51 is divided by f(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m = -56*m - 132. Solve -m*w + 0 = 44 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j - 222893 = 192123. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g**3 + 7*g - 7*g)*(-9163 + 511*g + 9163 + (-1 - 3 + 2)*(0 + 0 - g) + 2*g - 4*g + g) to the form x*g + f*g**4 + o*g**3 + u*g**2 + h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**3 + 2*g**2 - 7*g. Let d(h) = -23*h**2 + 42*h - 14*h**3 + 16*h**2 - 1 - 20*h. Let t(r) = -6*d(r) - 17*x(r). Factor t(v).\nAnswer: -(v - 6)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-32))\/(29\/812).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-6 + 91\/14). Suppose 10*m + 18 - 318 = i. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3644, -3641, -3638, -3635, -3632, -3629?\nAnswer: -3626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.446 * -30.\nAnswer: -13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**4*z + 19*d*z**2 + 122*z**2 with respect to d.\nAnswer: 12*d**3*z + 19*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23509736 divided by -38\nAnswer: -11754868\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 - 17*j + 12*j**2 + 17*j. Let f(t) be the first derivative of 2*t**3\/3 + 18. Determine y(f(d)).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312414 (base 5) to base 2.\nAnswer: 110010110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 3*d + 2*d)*(d - 2*d + 3*d)*(-157*d + 117*d - 167*d) to i*d + k*d**3 + v*d**2 + r and give k.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0345 times -11\nAnswer: 0.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/90*54\/(-24)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 687, 1962, 4443, 8532, 14631, 23142, 34467?\nAnswer: 49008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 82*t - 82*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-32))\/(1\/(-6))*80\/(-2460).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*x**2 - x - 52*x**2 + 3*x - 1 - 39*x**2 + 1.\nAnswer: -11*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*n - 5, 0 = -4*n - 4*u - 0*u + 12. Let p(y) = -5*y - 11*y - n + 1 + 14*y. Give p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*78\/15*(-12)\/(-156). What is the fourth smallest value in -1\/171, w, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/7, 6, -5 in decreasing order.\nAnswer: 6, 0.3, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9*x - 20 = 0, -2*d + 10 = 3*x. Is (-33)\/22 + d*(-311)\/2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 0*z**2 + 0*z**2)*(-4 - 5 + 3)*(-40 + 40 + 15*z).\nAnswer: 180*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157809387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(5\/(25\/15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13986722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -24*q + 2*u + 16, 422*q - 424*q = -u + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.37 + 2.37. What is the biggest value in 0.5, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 6, u: 4}. What is prob of sequence du?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12\/95 = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + 3.81. Suppose -f = 7*q - 3*q - 32, 29 = f + 3*q. Suppose -2*j = 4*u - 10, 0 = -3*j + f - 5. What is the biggest value in -0.2, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343 (base 11) to base 8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 6. Let d = -15 + 20. Suppose 97 = 5*i - 2*x, g*i + d*x = 7*i - 100. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(6\/(-8) + 4\/16). Solve q*y = 3 + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 68. Suppose -33*b + 31*b + 108 = d. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -424611290 - -660164050. Let l = c + -235552717.9999951. Let s = 42 - l. What is s rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20101036*m**3 + 93909*m**2 + 28?\nAnswer: 120606216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5 - (18 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2222907 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzddd. What is prob of sequence ddz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1074, -1076, -1078, -1080?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/37327 - 37309\/335943. Which is the closest to 0? (a) -1\/4 (b) -84 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 10*z**2 - 144*z - 1012. Determine o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 - k + 3. Let a(p) = 7*p**2 - 2. Let d(z) = -7*a(z) - 6*o(z). Let i be d(7). Let s = -5 - i. Solve -3*w + 6*w = s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3\/163, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66)\/(-15) + 4\/(-10). What are the prime factors of (q\/6)\/(10\/195)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*w - 40*w - 4*w + 17*w + 114 with respect to w.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (0 - -5) + 0. Suppose -4*d = d. Suppose -2*l - 4 - 2 = d, 0 = -2*k - 5*l + 35. Solve 0 = c - n*u + k, -30 = 5*c - 2*u + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -7, -6, -5?\n\"Answer: p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.0052?\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 6)*(5*d - 3*d - 4*d).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-16)*(-35)\/(-420)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 212 in -16, 1\/5, 1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 14, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 6 = -c - 4*i, 0 = 3*c - 5*i - 37 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*p**3*y**2*z - 4*p**3*y*z - 4*p**3*z - 9*p**2*y**2*z - 58*p*y**2 + 39*p*z - 21*z wrt y?\nAnswer: -26*p**3*z - 18*p**2*z - 116*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6594, -26076, -58448, -103710, -161862, -232904?\n\"Answer: -6445*m**2 - 147*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4386487359.0875629 + -4386487556. Let c = l - -182.412443. Let z = -14.5 - c. What is z rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(510) - (sqrt(510) - (sqrt(510) - (6*(sqrt(510) + -2*sqrt(510)) - sqrt(510)))))\/sqrt(10))\/(sqrt(12)*6 - sqrt(3) - -1*sqrt(192))*-1)**2.\nAnswer: 1088\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((6*(-1 + sqrt(2448)) + sqrt(2448) - -1*-2*sqrt(2448)) + -3*(2*sqrt(2448) - sqrt(2448))*3)**2)*1.\nAnswer: 576*sqrt(17) + 39205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 75, 111, 145?\n\"Answer: -c**2 + 41*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 1) + (18 - 62) + -8.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-6) - -2)\/(5\/30). Suppose t*n = 27 + 23. Let u be (0 - 0)*(-2)\/(-4). Solve u*a = 5*a + n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ngnqggnqnngqnnngns.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -11) + -2 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696216 is divided by 3027.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -2.1. What is the second smallest value in j, 2\/21, 22?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 + 488 = -57*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*n - 158 = 0, -4*b + 5*n - 59 = -182. Calculate the highest common factor of 96 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210399729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -780286.7614 - -0.071.\nAnswer: -780286.6904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186434813.\nAnswer: 2239, 83267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:28 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-40 - -30) + -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -54. Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 514 - 131 = -3*q, q - 5 = 0. Let z be 158\/18 + (-28)\/x. Find the second derivative of z*m + 2*m**5 + 2*m - 4*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.7 times 5\nAnswer: 418.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153510 divided by 30.\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + -1 + 0 + sqrt(448))*-1)**2 + ((sqrt(847) + -1)*-1 + 4)**2.\nAnswer: -142*sqrt(7) + 2665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**5 + 6000*n**4 - 1793990*n**3 - 3606000*n**2 - 1806005*n = 0.\nAnswer: -1, 0, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 g(c) = -14*c - 1591. Let w(a) = a**2. What is w(g(f))?\nAnswer: 196*f**2 + 44548*f + 2531281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -5*q, -2*q - 2*a - 3 - 1 = 0. Let n be q - 4\/(2 + -3). Solve -5*z - 5*p - 15 = 0, 5*z - n*p = -3 + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36303\/18568 + -1\/1688. What is the common denominator of z and 127\/246?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67609550 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10771 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 88814645 divided by 5\nAnswer: 17762929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -4, 0.39028.\nAnswer: -4, -2, 0.39028, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42604 - -56008. Which is bigger: o or 13403?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88170810.\nAnswer: 2, 3, 5, 7, 13, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20436900 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*b - 435*b + 510*b to c*b + l and give c.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 19*c - 10. Let q be 1\/1*1*1. Suppose c*g - 19 = q. Solve 2*b - 4*t = 28, -4 = -g*b - 3*t + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.8 - 11980.337.\nAnswer: -12083.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {l: 2, n: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 6*f + 2. Let l(r) = 13*r**2 + 17*r - 10. What is -11*c(k) - 4*l(k)?\nAnswer: -19*k**2 - 2*k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -298165 divided by 8519\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1) - 125\/25?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 28, 78, 166, 304, 504, 778, 1138?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 2538647.34.\nAnswer: 2538642.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 30. Let i(l) = 7*l**2 - 6*l + 6. Let n(w) = 20*w**2 - 17*w + 17. Let s(p) = z*i(p) - 6*n(p). Let o(b) = b**2. What is s(o(g))?\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 1. Let v(l) be the first derivative of l**2 + l - 69. Suppose 3*c = -2*i - 3, -2*i - 6 = -0*i + 4*c. Determine i*f(h) - 4*v(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*y**4 - 9668*y**3 - 4707339*y wrt y?\nAnswer: 1152*y**2 - 58008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k - 4*n, 3*n + 2 = 5*n. Let y(p) = 3*p**3 - 5*p**2 + 3*p + 2. Is y(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from enhnnheee?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 4 (c) 17 (d) -14 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - c76?\nAnswer: -c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 9*d**3 + 52*d**2 - 156*d + 32 = 0.\nAnswer: -8, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t - 3*t - 6*t - 2*t + 7*t - 2*t + (0 + 4 - 3)*(2*t - 3*t + 0*t) + (0 + 1 + 1)*(2*t + 1 - 1).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 10*c - 6. Suppose 2*x - 2*h - 8 + 2 = 0, -x - 9 = -5*h. Let q(u) = -u + 1. What is x*q(k) + d(k)?\nAnswer: 3*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + q - 537. Let b(y) = -25*y. Determine u(b(g)).\nAnswer: -1875*g**2 - 25*g - 537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4 - 280564*b**3 + 8700308*b**2 - 71574540*b + 63154800 = 0.\nAnswer: -70172, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f + 1. Let s be p(-3). Suppose 0 + s = 2*w. Suppose 2*x - 28 = -w*x. Solve 17 = -3*z - 5*u, 2*z + 20 = -5*u + x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 5 - ((-9 - 6) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2122, -2127, -2120, -2095, -2046, -1967, -1852?\n\"Answer: b**3 - 12*b - 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)*v*v)\/v*v*v*v**(-1\/2)*v)\/(v*v*v**(1\/11)*v*v**(-4))*((v\/(v\/v**(-1\/4)))\/(v*v*v**(-2)*v))\/(v**(1\/7)\/v**(3\/7)) assuming v is positive.\nAnswer: v**(2567\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*p = -17, -5*y + 1 = 4*p - 10. Let q = 1 - 7. Are y and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1035*i - 11289 + 63039 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (279\/(-6))\/(-3) - 4\/(-8). Suppose 3*y - 2*c = 18, y - 2*c = -6 + v. Let s(j) = -j**3 + 5*j**2 - 3*j. Calculate s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:09 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784, 1828, 4660, 10174, 19264, 32824, 51748?\nAnswer: 76930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 2040691\nAnswer: 163255.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(4\/(-4) + 3). Let x(w) = 7*w**3 - w**2 - 4*w + 2. Let n(h) = -7*h**3 + 2*h**2 + 3*h - 1. Let a(s) = -3*n(s) - 2*x(s). Is a(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-12) - -2 - 1. Let h(z) be the second derivative of 0 + 0*z**2 + 2*z - 1\/2*z**3 + g*z**4. What is the second derivative of h(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6683 - 0.0827. Let p = -54.489 + f. Let z = 54 + p. Round z to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a kilogram in grams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129\/7 - -18. What is the second biggest value in x, -6\/5, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 18*c**2 - 3*c - 3*c**3 + 5*c**3 + 1 - 12*c**2 + 21*c**2. Suppose 2*h - 27 = -h. Calculate p(h).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -2*m. Suppose -3 - 9 = 4*t + m*n, 3*t = 2*n - 9. What is the third biggest value in 0.4, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2174*-48.\nAnswer: -104352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*b - 86288, -24*b = -r - 25*b + 43143. Does 45 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 45*v = 2*c - 4, 8 = -2*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 55. Let f(s) = 0 - 2 + 3*s - s + 0. Let p be f(8). Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206522755 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 2*c + 2*c + 3*c. Let q(d) = -11*d. Determine a(q(n)).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9)\/((-1)\/(-6)). Let m = 12 - 8. What is the third derivative of 2*d**2 + o - d**5 - m wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**3 + 0*r**2 + (2*r - 7*r + r)*(-1 + 1 - r**2))*(-779 + 1571 - 772).\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1728543, 1728542, 1728541, 1728540, 1728539?\nAnswer: 1728538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**2 - 5*j + 2. Let d(n) be the second derivative of n**3\/6 - n**2\/2 - 3*n. Let z(s) = 3*d(s) + x(s). Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 0)*(-2 + 2 + 2*f) + (0 + 0 - 1)*(3*f + 3 - 3).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -22. Let w = 31.1 + u. Let p = 0.7 + 0.3. Which is the smallest value? (a) -0.4 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -11. Let y = w + 0. Let k = 36 + -36.2. What is the biggest value in -12, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4504 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/26428712 and -37\/40.\nAnswer: 132143560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/66)\/(4\/1918038). Let s = m + -14535. Calculate the common denominator of s and -87\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 9 + 76 = 0. Let a = -8 - x. Determine l, given that -l**2 - 3*l**3 + 3*l**2 - 3*l**2 - a*l - 3 - 8*l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1553, 10, -3, 547 in increasing order.\nAnswer: -1553, -3, 10, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8.34 times -0.5\nAnswer: 4.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4267560 divided by -53\nAnswer: -80520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 700.27.\nAnswer: -2801.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -66*c**2 - c + 3. Let s be t(1). Let q = 88 + s. What is the remainder when 95 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1546350 and 259250.\nAnswer: 131439750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-16959.\nAnswer: -1187.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 - 166294\nAnswer: -166293.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 854 + 246 + 108 + 93*y + 249.\nAnswer: 93*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 942 and 7379.\nAnswer: 44274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -106479385 divided by -21295877\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.4 or 1?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = 0, 5*w - 30 = 6*l - 11*l. Solve -w*a = 2*b - 27 + 12, 0 = b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Solve -3*r + j = 2*k - 2, -2*r + 3 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 3. Let l be g(2). Suppose -2*u + 105 = 2*u + 5*x, -x - 55 = -l*u. Let h = 243 - 103. Calculate the highest common divisor of h and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 703117 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -278, -668, -1284, -2168, -3362, -4908, -6848?\nAnswer: -9224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.740741 - -0.7344. Round m to four dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48209822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/21 + -5\/3. Which is the third smallest value? (a) -5 (b) p (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 2*m + 232 - 3102 = 0. Calculate the remainder when m is divided by 92.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*n - 4875608*c*n**2 - 2*n**2 - 10131289 wrt c.\nAnswer: -2*c*n - 4875608*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3918*v + 101*n = 3916*v + 1004, 1 = 3*v + n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 414024424 (base 6) to base 12\nAnswer: 24a8114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/27180 and -29\/9938520.\nAnswer: 1500716520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1093*s + 7063. Calculate v(6).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162890322?\nAnswer: 2, 3, 7, 83, 46727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*k - 0*k - 23, 4*k = -3*j + 79. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Differentiate 0*v**3 - 2*v**3 + 0*v**3 + 0*v**3 - h with respect to v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8))\/(3\/(-36)). Let z = t - -3. Suppose z = i - 2*c, 0 = 2*i - 7*i + c + 18. Solve -5*l = -i*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109445 and 11800.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**8\/168 - f**5\/15 + 2*f**2 - 1. Let w(z) be the second derivative of b(z). What is the third derivative of w(s) wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (-6)\/45 - 728\/(-60).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 11*h - 8. Let f be l(8). Let o be 1\/4 + f\/(-64). Solve o = -6*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099456.\nAnswer: 2, 41, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-140)\/(-49))\/(-10))\/(5*78\/(-113295)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1398, 0.\nAnswer: -5, 0, 1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/9 + 12*(-440)\/135. Let i be (-954)\/(s\/18 + (-1)\/(-6)). Calculate the highest common factor of i and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 448\/76 - 2 - (-66)\/627. Solve -31*k + 105 = h*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32b831 + 71?\nAnswer: 32b8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0\/(-11)) + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 503 - 499. Sort q, -136, -1, -4 in decreasing order.\nAnswer: q, -1, -4, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.84.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = -2*g, 5*g + 777 = 4*z. Calculate the highest common factor of z and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 11*i**2 + 9*i - 2. Calculate the remainder when o(6) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 91 = 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9713 is divided by 3179?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18188383 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 401550\/(-93695)*7\/11\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5710 = -5*u - a - 298, 2*a + 6 = 0. Let x = 308 - u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-40)*o\/(o\/((o*o**(4\/19)*o)\/o)))**(-1\/14) assuming o is positive.\nAnswer: o**(737\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 335060669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -762*t**5 + 2*t**2 + 48*t wrt t.\nAnswer: -45720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-8)*(-8)\/(-3). Let z be (h\/4)\/((-1)\/2). Let n = -3.99 + -0.01. Which is the closest to 2\/3? (a) z (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiaggiaiialgig. Give prob of sequence ggi.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 386096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3424 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146*w - 180?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 11*f**5\/20 - f**4\/6 + f**3\/6 + 45*f**2. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3\/53959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 7}. What is prob of picking 3 i?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 75*k - 11. Let f be d(-4). Is 1\/4 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623472691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 615*l**2 - 1853*l. What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:02 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-2 + 1) - -2. Let c = 1.9 - 2. What is the nearest to c in 0.2, u, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130252 is divided by 10777.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 485\/7 - 69. Let m be (-2)\/5 + (48\/(-70))\/(-1). Suppose -m*v**5 - q*v**4 + 10\/7*v**3 - 8\/7*v - 8\/7 + 10\/7*v**2 = 0. Calculate v.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u\/(u**(1\/4)*u))\/u))\/(u\/u**(-3\/26))*(u**21*u)**(-3\/8) assuming u is positive.\nAnswer: u**(-211\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - u + 545. Let r(g) = g**2 - 3*g + 499. Determine -2*l(h) + 3*r(h).\nAnswer: -h**2 - 7*h + 407","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -429, -642, -861?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(42)\/sqrt(6)))\/(sqrt(3) + sqrt(3) + sqrt(3) + (sqrt(192)*-1 - sqrt(3)) + sqrt(3)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 11*r**2 + r - 6. Let q(f) = 2*f**3 + 20*f**2 - 2*f + 11. Let h(y) = 6*q(y) + 11*v(y). What is h(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 + 6493664*j**2 - 3513974843295*j + 2342647009458 = 0. What is j?\nAnswer: 2\/3, 1082277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30741, -30683, -30623, -30561, -30497?\n\"Answer: h**2 + 55*h - 30797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -251*b**3 + 3*b**2 + 3*b + 1. Let g(z) = -z**3 - 13*z**2 - 22*z - 1. Let w be g(-11). What are the prime factors of y(w)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose -5*d + 12 = -2*z - 0*d, 3*z + 4*d - 28 = o. Find the first derivative of 2 - s**3 - z + 2*s**3 + 5 wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 132*l**5 + 131*l**5 - 272*l**5 - 3 + 20*l**2 wrt l?\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - q**5 + 2*q**5 - 1353*q**2 + 1353*q**2 + 30*q**5 + (-q + q + q)*(2*q**4 - 2*q**4 - q**4).\nAnswer: 31*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-2 + -1 - -2). Let q(d) = 5 - 4*d + 4 + d**2 - i. What is the units digit of q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/((-285)\/(-60)) - -6. Solve 0 = -b - 4, 2*j + 8 = j - z*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1716, -313, 1090?\n\"Answer: 1403*q - 3119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*c - 32 - 4 = 0, -t = 4*c + 9. Let f be 9\/t + 107 + 2. Let u = 19 - 7. Calculate the highest common factor of f and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 1. Calculate l(-15).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + c - 1360 = 3*r, -2*c + 1020 = 3*r. Calculate the highest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -13. Calculate the remainder when 63 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 6*u - 2. Let q be d(4). Let t be q*(2\/4 + -1). Which is the nearest to 0? (a) 2 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223 - 1555\/7. Suppose 39*k - 20 = 43*k. Let w be k\/25 + 85\/50. Which is the closest to 2? (a) w (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-9) - (-689)\/234. Let n(b) be the first derivative of d*b**4 - 5*b + 0*b**2 + 8 + 0*b**3. Find the first derivative of n(u) wrt u.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -5.7.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1502c - -31a?\nAnswer: -14b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -61*x**5\/5 - x**4\/12 + 205*x**3\/6 + 58*x - 6. What is the second derivative of u(j) wrt j?\nAnswer: -1464*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 17*f + 87. Let z be j(-21). Let n be (2\/2 - 1)\/1. Suppose 0 = -3*k - n - 15. What is the third smallest value in z, k, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/2 - 662*y**3\/3 + 378*y**2 - 365. Find the second derivative of j(m) wrt m.\nAnswer: -12*m - 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8710, -17265, -25526, -33361, -40638, -47225, -52990, -57801?\nAnswer: -61526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -12. Suppose -4*y = -4*c + 10 + 2, -j*y + c = 5. Let a = -187272\/19 - -9856. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 + 6 = 0. Solve -q + 2 = p, t - 7 = -4*q - 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 72. Let a = 222077371 - 222077439.0000465. Let g = a + z. What is g rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**3 + t**3 - t**3)*(-4 - 1 + 4)*(1 - 2 + 6)*(1 + 1 + 0)*(1 + t - 1) to the form a + k*t**4 + h*t**2 + g*t**3 + m*t and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 407*s + 511 + 1881 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -0.1.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 3 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11354 and -103\/42.\nAnswer: 34062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -159810000 to the nearest one million.\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 345179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482514518.\nAnswer: 2, 3, 3251, 76003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -45*q**4\/2 + 2*q**3\/3 + 53*q - 128. Find the third derivative of y(n) wrt n.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201, 196, 187, 174?\n\"Answer: -2*i**2 + i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12196258 and -0.1891878.\nAnswer: -12196258.1891878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 9*g + 24. Let v be s(-8). Suppose 3*k - v = -k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (2 - 4)) + (-69)\/(-23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3040 and 328480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*j + 12 = 0, j + 3 - 2 = -5*w. Sort -2, w, 8.\nAnswer: -2, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001120020022010 - -2?\nAnswer: -10001120020022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832534.\nAnswer: 2, 547, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53123.12kg to nanograms.\nAnswer: 53123120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137703.\nAnswer: 3, 197, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpy. Give prob of sequence px.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*z + 1000 = 2*z, -5*z - 407 = -2*k. Suppose 0*v + 3*v - k = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028*-2.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508887?\nAnswer: 3, 56543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2718)\/(-4077)*2\/(16\/6). What is the nearest to t in -5, 5, -28, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250384.\nAnswer: 2, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13539, -54127, -121753, -216417, -338119, -486859?\n\"Answer: -13519*h**2 - 31*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 10 = -u. Let g = u + 6. What is the tens digit of (1 - -24) + g + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/8 (b) 0.5 (c) -0.5 (d) 74\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(9\/7)*n**(-13))\/(n**(3\/2))**(-23) assuming n is positive.\nAnswer: n**(319\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**4 - 5*s**3 - 14*s - 5. Let v(z) = 3*z**4 - 3*z**3 - 7*z - 3. Let c(d) = -3*i(d) + 5*v(d). What is the second derivative of c(h) wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + r**2)*(-2 - 4 + 5) + (-3*r + 5*r + 2*r)*(2 - 2*r - 2) as b + j*r**2 + v*r and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51 - (10\/(-4) + 1\/(-2)). Let a = -48 + k. Does 24 divide ((-18)\/(-8))\/(a\/384)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 40556770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7360121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*u**3 - 4475*u + 4475*u.\nAnswer: 397*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.85596l in millilitres?\nAnswer: 91855.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**3 + 269*w**3 + 35*w - 273*w**3 - 2 in the form y + k*w**3 + i*w**2 + a*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*a - 209 = -217, 2*g + a = 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 40*a**3 - 2*a - 2. Let d(b) = -119*b**3 + 7*b + 7. Calculate -2*d(i) - 7*q(i).\nAnswer: -42*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c + 6*c + 14*c + 1.\nAnswer: 6*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298 and 139762.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12981 - -19377. Is 52 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 5777?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*t*x*z + 2*k*t + k*x**3 + 66*k*x + 2*k - 6487*t*x**3*z + 2*t*x*z + x**2*z - 62*x wrt x?\nAnswer: 6*k*x - 38922*t*x*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6 = 6*f. Suppose 3*u = 5*y - f + 16, -9 = 3*u + 3*y. Suppose -19 = -b + 3*x, 5*b - 3*x = 2*x + 55. Solve 2*c + b - 5 = u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-88)\/60)\/(4\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 4.93. Suppose -4*d - 5*p = -21, -p + 1 = 3*d - 1. Let s be d - -3*(-2 - -1). Which is the second biggest value? (a) 3 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -299.1 + 299. What is the nearest to -2 in g, 2\/11, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 2216996392*x - 2216996399*x + 4433992791*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40590 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:48 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbdppptpppdkbd. Give prob of picking 1 k, 1 b, 1 d, and 1 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 999 + -998.245. Let g = s + -4.755. Let i be (-20)\/14 - (-1 - 1). What is the third smallest value in 0.5, -1\/5, g, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56850.\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)*(-9 - -2). Let w = 10 - 20. Let l = y - w. Calculate the remainder when 49 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-930)*-31)\/(12\/(-232))\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244 divided by -622.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -17*z - 2240. Is 1\/(1 - (3355\/z - 2)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3*u + 3092559*t**3 - t**2*u + 141*t*u + 1238*u with respect to u.\nAnswer: t**3 - t**2 + 141*t + 1238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/5, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(17) + (sqrt(17) - -1*sqrt(17)*-1) + -1 - (6*(-1 + sqrt(17) + sqrt(17) + sqrt(17)) + sqrt(17) + -6*sqrt(34)\/sqrt(2) + sqrt(17)))**2.\nAnswer: -130*sqrt(17) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 274, 956, 2286, 4480, 7754, 12324?\n\"Answer: 36*o**3 - 2*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 111474 + 47*x + 222931 - 111457 - 47*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 17. Suppose 175 = 3*c + 181. Let o be k(c). Let q = 17 - 12. Sort o, q, -2.\nAnswer: -2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -181*b - 6. Is f(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -240113 + -3?\nAnswer: -240116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16239 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1408936 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 6. Let l(a) = -4 - 1 + 2 - w - a**3 - 5*a + 6*a**2. Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = q - 8, 5*q + 2*x = 56. Let p be (-2 + 10\/4)*0. Suppose -r + s + 9 = p, 2*r - s - 11 = 11. Is r less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 17. Suppose 1 + 8 = o*z. Solve -h = 1 + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -303600 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.823 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 0, 6, 1\/6 in descending order.\nAnswer: 66, 6, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9. Suppose -22 = 2*t - s*t. Let a(f) = -7*f**3 + f**2 + 6*f - 6. Let z(x) = -13*x**3 + 2*x**2 + 11*x - 11. Calculate t*a(p) + 6*z(p).\nAnswer: -p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + 6*z**2 + 11*z - 5. Let n(f) = -4*f**3 - 5*f**2 - 11*f + 4. Suppose 54*p - 24*p = 29*p - 6. Give p*n(d) - 5*x(d).\nAnswer: -d**3 + 11*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6493*p**3 + p**2 - 3*p. Let c be o(-2). Suppose -4*a + 12846 + c = 0. What is a rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4.5. Let i = 0.6 - x. Let u = -2\/9 - -23\/63. Which is the third smallest value? (a) i (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 103, 220, 337, 454?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) 1\/18 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71330 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 6, q: 9, f: 1}. Give prob of sequence zq.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28855 divided by 85?\nAnswer: 5771\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37138 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*g + 26*g - 579 + 22*g - 74*g + 14*g + (3 - 4 - 1)*(-1 + 1 - g) + 7*g - 4*g - 4*g.\nAnswer: 20*g - 579","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82533304778 - 82533309964.1069559. Let n = t - -5186.21. Let s = 0.103 - n. What is s rounded to six decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 3*q = 135, 0 = -1617753*r + 1617757*r + 4*q - 60 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 12213141?\nAnswer: 12213138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -775, 2\/3 in descending order.\nAnswer: 2\/3, -17, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 636067?\nAnswer: 636062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79604 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 105 = -5*i - 54 - 26, 3*i = -5*m + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497*o*y**6 - 1334*o*y**3 + 238*o*y**2 - 199*o wrt y?\nAnswer: 59640*o*y**3 - 8004*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 27*r = -57*r + 808491. Is r a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7570 divided by -130.\nAnswer: 757\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/((-3)\/(-1)*2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*u + 87*u - 247. What is the greatest common factor of 38 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 - 4*a**2 + 9*a - 24. Does 50 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -303, -1042, -2483, -4860, -8407?\nAnswer: -13358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1130)\/(-72)*2\/5 and (-151)\/48 - 4\/(-12).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/761, 0, -2 in decreasing order.\nAnswer: 0, -1\/761, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2745381*z + 2744762*z - 5484104*z.\nAnswer: 6039*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1377 + 8514. List the prime factors of z.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 931*a**2 - 235*a**2 - 237*a**2 - 274 - 231*a**2 - 237*a**2 + 2*a to r*a + u*a**2 + b and give b.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3245, 2500, -4 in descending order.\nAnswer: 2500, -4, -3245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -15. Let m(w) = 11*w**2 + 3*w - 3. What are the prime factors of m(o)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 g when three letters picked without replacement from gglfgcfkwgwc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 12. Let j = -10.4 - -1.4. Let u = j - -9.1. Put u, m, -4 in ascending order.\nAnswer: -4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 - 64 + 20 + 23 - 3*k - k**3 + 25. Calculate s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -29. Solve -1 = -v*x - 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*x - 104 = 0, 0 = 2*w + x - 4 - 38. Suppose p + p = w. Is p 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 116 and 220?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:08 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 0*x. Let p = 0.1265 - 0.5265. What is the second biggest value in x, p, -3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279380.\nAnswer: 2, 5, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y - 84*y = 60. Suppose 10*j - 12*j = -y. Suppose 6 = -2*l + 4*h + j, 4*l - 38 = -2*h. 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: What is the hundreds digit of 75371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.777690291 + 3?\nAnswer: -12.777690291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-14))\/(1\/(-7)). Let c be (74\/10)\/(6\/y). Suppose 4*r = 2*g - 32, -4*g + g - 5*r = -c. Calculate the remainder when 27 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 514414?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 + 285. Let b = -56 - -113. What is the remainder when b is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -12, -30, -66, -126, -216, -342?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, u: 8, s: 2}. What is prob of picking 2 u and 2 a?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 + 9*i**2 + 636*i + 1889. Determine w(-3).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 103. Suppose -x - 4*q + 24 = 0, v - 2 = 5*x + q. Suppose 0 = x*n - 5*n + 337. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -100253417242.\nAnswer: -100253417242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260434278 divided by -3159.\nAnswer: -82442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 88 = 2*j - 3*d, -4*j + 3*d + 191 = 0. Let u be (0 - 3\/3) + 21. Calculate the greatest common factor of j and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1534872*i**3 - 25*i**2 - 25518906*i - 2 wrt i?\nAnswer: 9209232*i - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -32824, -11\/2, 0.4, 4?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 9*i - 4. Let c be l(-8). Let r be (2\/c)\/((-2)\/36). Let k = 46 - r. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4760 and 43\/60?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 32. Suppose -2*w = -3*x + 6*x - 25, -x + 9 = w. Calculate the remainder when d is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590, -2372, -5370, -9608, -15110, -21900, -30002, -39440?\nAnswer: -50238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/8 + 145*u**4\/12 - 5*u**3\/12 - 145*u**2\/2 + 1883*u. Factor l(v).\nAnswer: 5*(v - 1)*(v + 1)*(v + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3854560866.\nAnswer: 2, 3, 13, 317, 155891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 7:58 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 4)*((o - 2*o + 2*o)*(-o + o - o) + (3*o + o - 6*o)*(-10*o - 4*o - 3*o))*(2*o - 4 + 4) in the form r*o**3 + n + d*o**2 + q*o and give r.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*x**2 + 7447 + 125*x**2 + 7426 - 14873.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v**2. Let c(r) = r - 1. Let o(f) = -4*f + 6. Let q(m) = -6*c(m) - o(m). Determine q(i(s)).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37962 and 708291?\nAnswer: 26915058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 836 - 629. Calculate the greatest common factor of a and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(((k*k\/(k\/k**(-9)))\/k)\/k)*k*k)\/(k**6*k))**1\/((k\/(k*k**(-1\/4))*k**1\/k)\/(k**(2\/9)\/k*k**(-4\/3))) assuming k is positive.\nAnswer: k**(167\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-10624)\/((-8)\/(-2)). Suppose 2*d - c = -4*i, -2*i - 5310 = 3*d - 7*d. Let p be d\/144 + (-2)\/9. What is the greatest common factor of 18 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -709 - -706. What is the smallest value in i, 3\/11, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099944872 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 96110454 and 96110455 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 34*x - 22. Let y(o) = 2*o. Calculate y(u(w)).\nAnswer: 8*w**2 + 68*w - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -5b7?\nAnswer: -5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9023 + 4.9263042. Let r = -46 - -46.024. Let w = r - l. Round w to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-214)\/(-14) - 4\/14. Suppose -4*v - y - 5 = 4*o, 12 = -4*o. Calculate the common denominator of ((-3)\/(-48))\/1 - v and -145\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 64. Let h = -3 - j. Solve 5*t - 4 - 6 = -5*w, -5*w + 5*t - h = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494929794 to the power of 1\/2, to the nearest integer?\nAnswer: 38664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/430 and -55\/301?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.2543 and -32.\nAnswer: -424.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**2 + 2*d + 7. Let t(o) = 5*o**2 + o + 3. Suppose 4*y - 1 + 13 = 0. Determine y*x(q) + 7*t(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 17.4. Which is the third smallest value? (a) t (b) 2\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.0178, 2\/15, 42?\nAnswer: 0.0178","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*a + 11 = 0, -2*d = -4*d - 5*a + 3. Let j be ((-2)\/d)\/(11\/2156). Let o = j + 145. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2494697308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004753 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2 + 3*u. Let v(j) = -579*j + 2. Determine z(v(a)).\nAnswer: 3352410*a**2 - 24897*a + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5281 = -u + 2*u, -5*u - r + 26441 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (4 + -4 + -2235). Suppose -4 = -o, 5*p - u + 484 = -5*o. Let f = p - 2435\/7. Is f greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22044239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - w - 1. Let i(l) = -3*l**2 - 33*l + 111. Let v(m) = i(m) - 2*z(m). Let g be v(27). Solve -3*q = 3*d, -9 = -q + g*d + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 3801*c + 47 - 4985*c)*(-3*c - c + 0*c) in the form m + l*c + j*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbabbbbzabbzbbzabb. Give prob of picking 1 z and 2 b.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17436, 0.6, -0.0321, 4 in descending order.\nAnswer: 17436, 4, 0.6, -0.0321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184522831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h**3*h**2\/h**(-5))\/(((h*(h*h**(-5\/3)*h)\/h)\/h**(-3\/2))\/(h**1)**(-1\/10)) assuming h is positive.\nAnswer: h**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1714 - -1713.98997. Let s = -0.01 - w. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3455 divided by -2.\nAnswer: 3455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746465949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19\/15 - 3\/5. Let k = 5 - 9. Let j = k - -3.8. Which is the second smallest value? (a) -2\/7 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 156, -4 in increasing order.\nAnswer: -4, 1, 2, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d)**(1\/10)*(d**(3\/4)\/d*d)\/(d**(2\/17)\/d*d) assuming d is positive.\nAnswer: d**(133\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - b + 80, 13 = -j - b + 3. Let u be (2\/(-5))\/(3\/j). What is the derivative of -2 - 2 + 0 + u + p wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 - (-20 + -21 + (56 - (7 - 3))).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - 3*j - 3. Let a be 2\/(-4) + (-121)\/22. Let x(n) = -23*n**2 - 17*n - 17. Give a*x(b) + 34*i(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 19*u + 5. Let h be s(5). Let y = -1597\/16 + h. Let g = 23\/48 + y. Is g != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4440, 4425, 4422, 4437, 4476, 4545?\n\"Answer: n**3 - 22*n + 4461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 2*f**3\/27 - 2*f**2\/3 + 17. Factor w(z).\nAnswer: 2*z*(z - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 466? (a) -1.55 (b) -5 (c) -4 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a73 (base 13) to base 10.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95244 is divided by 532.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150395 (base 10) to base 13.\nAnswer: 535bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2087, 16592, 56021, 132836, 259499, 448472, 712217?\n\"Answer: 2077*c**3 - 34*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.03 * 0.20899\nAnswer: -0.2152597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3771 - 3736 = 7*o. Solve o*c - 9 = 4*h, -3*c = 3*h - c + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 1 + 8*i - 2*i - 7. Let w be y(5). Let l = 481 - 10103\/21. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((92742\/(-9512))\/(3\/7)).\nAnswer: -4\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3155, -1 in decreasing order.\nAnswer: 3155, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*w**2 - 25*w**2 - 22*w**2 - 19*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.9. What is the biggest value in 3, 11, -4, d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 - 5*f**2 + 2*f**2)*(-100*f + 196*f - 1 - 418*f) as h*f + q + m*f**3 + l*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94490 + -11905603\/126. Let z = -2601\/2 + 27331\/21. Find the common denominator of z and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71\/13? (a) -0.19 (b) -0.4 (c) -0.1 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -41*-1.2\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(180) + -4 - (sqrt(180) + 0)*-4 - (sqrt(180) - ((-1*sqrt(180)*-4)**2 - sqrt(180)) - ((sqrt(180) + -2)**2 + -2))).\nAnswer: -12*sqrt(5) + 6116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/616 + 130\/(-638)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299762455 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230535807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22446 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6425 is divided by 189.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 20*l**2 + 19*l + 28. Calculate the remainder when a(-19) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j - 4. Calculate the remainder when q(-5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/30 - y**3\/5 - 2*y**2\/5 - 3*y + 2. Let m(v) be the first derivative of j(v). Factor m(f).\nAnswer: -2*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1419\/(-387))\/(5\/3))\/((-1)\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 337, 360, 403, 472, 573?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*f + 22, -2*f + 2*p - 10 = -3*f. Let a = f - -1. Suppose -2*q - a*b + 50 = 0, -q - 6*b + 32 = -b. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b + 8, 4*b = -4*i + 8. Let y(j) = j**3 - j**2 - 1. Determine y(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 255, 472, 747, 1080, 1471, 1920?\nAnswer: 2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 0)*(5*k**2 + 20*k - 20*k)*(3*k - k + 2*k) to the form g*k**2 + j + t*k**3 + c*k and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a. Let s be f(1). Suppose 2*q + 8 = 3*p, -5*q - 1 = -4*p + s. Let h be (15\/6)\/(1\/2). Put 0, q, h in descending order.\nAnswer: h, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.7*1800.\nAnswer: -111060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + sqrt(11) + 3)*-6.\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let a(h) = -149*h - 12. Let v(o) = -22*o + 3. Let t(p) = -a(p) - 4*v(p). Determine q(t(w)).\nAnswer: -474*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2. Let f(j) be the third derivative of -j**5\/15 - 11*j**2. What is f(i(n))?\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/7)*j*(j**(13\/3)*j)\/j)**(-1\/4) assuming j is positive.\nAnswer: j**(-127\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81848 = 2*n + 2*n + 3*r, 5*n + 4*r - 102311 = 0. Is n a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/2*(-80)\/12. Suppose -l = -12*c + 7*c. What is the common denominator of 45\/32 and (c - 7) + (-79)\/(-10)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253484149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 0.328, 0.5 in descending order.\nAnswer: 1, 0.5, 0.328, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + 2*x**2 - 4*x**2 + x**2 + 3*x**2 - 48 to the form s*x**2 + u + a*x and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -0.3. Let k = 85 + -934\/11. Let z = 15 + -29\/2. Which is the closest to l? (a) k (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14258 + -14261 + (20 - -1) + -1 - -18.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213421?\nAnswer: 13, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 2*i - 4. Suppose 7 = -2*k + k. What are the prime factors of u(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**29)**(-14)*((x*x*x**0)**(-3))**(-1\/26) assuming x is positive.\nAnswer: x**(5287\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 56, 91, 130?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u - 1. What are the prime factors of i(16)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*w + w. Suppose -2*m + 5*s = 2*m - 53, 2*m - 4*s - 34 = 0. Suppose 4*z - 66 = 3*b, 3*b - 1 = -m. What is the highest common divisor of w and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6101 + -9190. Let b = 18637\/6 + s. What is the common denominator of -71\/3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275206359 rounded to the nearest ten thousand?\nAnswer: -275210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 190 = 157 - 431 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192400758 to the nearest integer?\nAnswer: 13871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o - 2\/15*o**5 - 2\/15*o**2 - 9 - 3\/10*o**4 - 14\/45*o**3 - 1\/45*o**6. Factor z(d).\nAnswer: -2*d*(d + 1)**3*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 3*o**2 - 19*o + 65. Let i be t(3). Calculate the highest common factor of i and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3370 = 5*w, 0 = -0*c + c + 5*w - 654. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.14 - 0.0965718713\nAnswer: -19.2365718713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1188 - 1172. What is the remainder when 365 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -3\/2*n**3 + 0 + 4*n + n**2. List the prime factors of i(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-12)*((-136)\/3060)\/((-4)\/3)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(3 + 1\/(-1)). Let s be o + (6 - (-3 - -3)). Solve -l + s*y = -3*l + 2, 0 = 2*l + y + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:55 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10156952 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0513 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:23 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, q: 3, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11164397 to the power of 1\/2, to the nearest integer?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2527292 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007044174 rounded to 7 decimal places?\nAnswer: 0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41716 is divided by 74.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -184, -189, -196, -205, -216?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1236*j + 5799. What is the remainder when u(4) is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277016530 divided by 4454?\nAnswer: -62195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*a = -a - 126, -3*y - 3*a + 180 = 0. Suppose 2*r - 16 = 3*k + 43, y = 2*r - k. Let j = -27 - -55. What is the greatest common factor of j and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 - 5*m - 3 + 2 - 9. Calculate the remainder when i(-8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.61 - -0.7. Which is the second biggest value? (a) 3 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/6 + (-1 - 2) + -467. Is g greater than -473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**0\/x)\/x))**(13\/8)\/(x**(-1\/3))**(-2\/3) assuming x is positive.\nAnswer: x**(335\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 8. Let u be f(5). Let k(w) = 2*w**3 + 3*w**2 - 4*w. What is k(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-15)\/c)*c)\/c)\/(c\/c**(2\/29)))**(4\/5) assuming c is positive.\nAnswer: c**(1864\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*d + 2*j, 0 = -3*j + 11 - 2. Solve -3*p + 4 = 2*q, d*q + 4*p - 9 = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:51 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*a - 26*a + 706 = -64 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/6)\/(3*1). Let d be (8\/(-5))\/((-64)\/(-160)). Suppose 6*o - 5 = 5*u + 4*o, -4 = u - o. Which is the nearest to 0.1? (a) u (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 5512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -220*j**4 - 3*j**3 - 172. Let q(z) = -z**3 + 3. Let b(n) = -3*q(n) + t(n). What is the first derivative of b(p) wrt p?\nAnswer: -880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156312*c**3 + 112123*c**2 + 2*c.\nAnswer: -937872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:46 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**3 + 3*b**3 - b**2 + 2*b**2 + (-b + 0 + 0)*(0*b**2 - 2*b**2 + b**2).\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.982 - -0.018. Let l = 26 - n. Let i = 20 - 137\/7. Which is the nearest to -2\/3? (a) i (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3643241 by -131.\nAnswer: -27811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 5. Let r(j) = 3*j + 2. Give 3*c(y) + 4*r(y).\nAnswer: 3*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 7. Let n(r) = 6*r**2 + 18*r. Let a be n(-3). Calculate k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 2, -94?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22319 - -22325. Solve -3*l + g = 0, -3*x - l + 11 = -0*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - 9 - 3*c**3 - 4*c + 2*c**3 - 3*c**3 - 2*c**2. Let z be g(-3). Suppose z = 19*y - 18*y. Is 1 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + w + 1. Let v(r) = 2*r**3 - r**2 + r - 6. Let t(c) = 3*u(c) - 3*v(c). Differentiate t(s) with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 + 3*m**2 - 1. Let v be s(-2). Let d be 14\/49 - 1842\/v. Let a = d + -91. Put a, -1, -4, 3 in ascending order.\nAnswer: -4, a, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15841610 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*z = -z + 2, -5*z - 17 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41044 is divided by 13590.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426*j = 37747 + 35777 - 12874 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d + 24. What is x(11)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m - 1. Suppose 9*v - 12*v + k = -5, -4*k - 7 = v. Let j(o) = 4*o**3 + 3*o**2 - 2*o + 2. Suppose 2*r = 17*r - 30. Determine r*g(f) + v*j(f).\nAnswer: 4*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p + 14*p = 2170. Solve -5*o - 2*o = p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 9*d - 20. Determine y(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -207, -1, -1653 in increasing order.\nAnswer: -1653, -207, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w - 5*i = -27*w - 38, -3*i + 34 = w. Let y = -25 + 53. What is the greatest common divisor of y and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20537*a + 9533 - 161622 - 53281 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + -28. Let d = -49.07 - l. Let x = 0.1 - 0.2. Is x <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 486984 divided by 24\nAnswer: 20291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/5 - 23738*t**3\/5 - 71596298*t**2\/5 - 1370035062*t + 4239106740 = 0.\nAnswer: -5885, -102, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 2*z = -15*l - 6, 6 = 3*l - 2*z. Suppose 18*a - 30*a + 216 = l. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10252, 20501, 30750, 40999, 51248?\nAnswer: 61497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0 + 0)*(-51 + 49 - 32 + (-4 + 6 + 16)*(-7 + 3 + 2)).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8, 2*t + 21 - 101 = -4*x. Solve 0 = 3*p - x + 4, k = -4*p + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 193 = 115 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*a + 48, 114*y - 7 = 115*y + 2*a for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04484849 to 5 decimal places.\nAnswer: -0.04485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2049.272 + -2900.9. Let m = 850 + t. Let j = 1.6 + m. What is j rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93071 is divided by 141?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 128, 146, 164, 182?\n\"Answer: 18*c + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1796*z**3 + 1747*z**3 - z**2 + 4*z**4 - 5*z**4 - 4 + 0*z**2 + z as w*z**2 + p*z**3 + l*z + v*z**4 + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o)*(-2*o**2 + 0*o + 0*o) - o**3 + o**3 + 2*o**3 - 144*o - 146*o + 1 + 292*o - 5*o**3 - 5*o**2.\nAnswer: -7*o**3 - 5*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 less than 0.014?\nAnswer: 138.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19444\/71955 - 6\/533. Find the common denominator of u and 4\/225.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*h + 3*h. Suppose -f + p - 9 = -2*f, -3*f - p + h = 0. Suppose -f*k + 364 = -k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = -5*v, -2*a + 3*a + 4*v - 10 = 0. Suppose -a = -4*u - 2. Suppose 5*h = -j - u, 3*h + 6 = h - 3*j. Solve 0 = -4*s - h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 3*w + 30, -w - 14 = 3*o - 0*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*i - 32*i + 4*o - 50, 10 = i + 2*o. Solve i - 10 = -15*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23261009*z + 81480096?\nAnswer: 23261009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3755 + 3755.5. Which is the closest to 18? (a) -1 (b) y (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*u - 17 = 0, -3285*u = 2*p - 3276*u + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:22 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -160*o - 4. Let h(n) = 5*n - 1. What is -3*h(k) + z(k)?\nAnswer: -175*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - (-8 + -18)) + -72?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 4*b**2 + 4*b - 2. Suppose 2*m + p - 1 = 6, 5*p - 5 = 0. Calculate the remainder when c(m) is divided by (-97)\/(-5) - (-18)\/(-45).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 divided by -5\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 63. Is 21 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 + k + 5. Let c be z(3). Let u be ((-1152)\/(-37))\/c + (-5 - -1). Is -1 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 + -32907348?\nAnswer: -32907541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14283 + 14527. Calculate the remainder when 279 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3479, -1, -13, -4 in descending order.\nAnswer: 3479, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 997363381 to the power of 1\/3, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjhrwhp. What is prob of picking 1 j, 2 p, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857882352 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -61*v - 37. Let q be i(8). Let r = -327 - q. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) 2\/3 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*m - 10*m**2 - 2067 - 447*m - 2063 + 4130 + 231*m.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -537 + 4*t**2 - 531 - 24*t + 1074 + 3*t**2 in the form d + f*t + g*t**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2562*o + 1219. Is k(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1026553 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c - 33*c = 3*z + 25, -c = z + 3. Solve u - 11 = 5*i, -4*i + 0*u - c*u - 20 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24525 + -24538.189. Let y = -110.906 + f. Let h = -124 - y. Round h to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + h + 985*h**3 - 1948*h**3 + 966*h**3 as g*h + i*h**2 + s*h**3 + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 15502624*p - 60082837721344.\nAnswer: -(p + 7751312)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 114.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.4, 16730426\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233019, -233012, -233003, -232992?\nAnswer: -232979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3651314 and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375567 divided by 3?\nAnswer: -1125189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 10 = 0. Solve u*x - 4 = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995021904 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 46*o - 7. Let a = -2 - -9. Let t be l(a). Is t\/28 - (-1)\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/9)\/(30\/(-1755)) is divided by (-460)\/(-38) - ((-24)\/76)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-21)*45*29\/1740?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - (-15)\/(-54). Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(21\/4)\/k)\/(k*k*k*k*k\/(k\/(k\/k**5)*k))*((k**(-5\/6)*k)\/k)\/(k\/k**(-1\/8)) assuming k is positive.\nAnswer: k**(79\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 9*m + 11. Let j be u(9). Let f(n) = j*n + 10 + 15*n - 28*n. Let y be f(-9). What is the highest common factor of 28 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-1 + (-84)\/(-30) + 2322\/(-215)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -7*x + 15. Suppose -1 - x = -2*p. Suppose 38 = p*w - 12. Solve -2*u - 4 = -w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*q + 5 + 15, 2*x = q - 5. Let c(f) = -f**3 - 6*f**2 - 6*f - 4. Let v be c(x). Which is smaller: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(3 - 2 - 2) - 3 + 1 + 3)*(-3*k + 4*k + k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740019?\nAnswer: 23, 75653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422460 and 10296.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 21*v**2 - 2. Let s(c) = 1508*c + 73. Determine s(u(a)).\nAnswer: 31668*a**2 - 2943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3712, 7745, 11778, 15811?\n\"Answer: 4033*s - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 372293124*i\/5 - 17325271272209922\/5.\nAnswer: -2*(i + 93073281)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4619163307.\nAnswer: 11, 419923937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b - 32. Let c be z(7). Suppose w + 199312 = c*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/m)\/m*m*m*m\/m**(-6)*m**(2\/23)*m**5*(m**(1\/3)\/m**(1\/7))**(-1\/5) assuming m is positive.\nAnswer: m**(60611\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 2, i: 8, z: 8}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9965, 19913, 29845, 39761, 49661, 59545, 69413?\nAnswer: 79265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f**(-1\/7)*(f*(f**(-4\/3)*f)\/f*f)\/(f*f**(-4\/3)))**(-2\/11) assuming f is positive.\nAnswer: f**(-72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -3*i - 35. Find the second derivative of -11*m - 2724 - 6*m**i + 2724 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -2. Let y = -0.3 - t. Let n = -6 + 2. What is the closest to 1\/2 in n, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145637 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 654, 996, 1340, 1686?\nAnswer: 2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37621 = -2163*r + 12128 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-1)*((-2565)\/54)\/95. Sort r, 0, 4385.\nAnswer: 0, r, 4385","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -0.1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0) + 13 + 5. Let j be 12\/p*(-366)\/(-4). Let d be (-3 - j\/(-21))*-3. Which is the closest to -1? (a) 4 (b) 0.04 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 - (-14 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 8. Let v be a(4). Let x be (-188)\/(-4) + 4 + (7 - v). What is the highest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5757, -73603, -257763, -616395, -1207657, -2089707, -3320703?\nAnswer: -4958803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -819.854 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37661752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -1, -12, -43, -100, -189?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14*f**3 - f**2 + 61. Let a be i(5). Let h = a + -1221. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 79*k**2 - 217*k - 4. Give u(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*h**2 + h**2 + 221 - 64 - h + 213 - 35 wrt h.\nAnswer: -12*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31043, -47482, -63921, -80360, -96799, -113238?\nAnswer: -129677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from buubbu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1 + (1 + sqrt(567) - sqrt(7)) + sqrt(847) + -2*sqrt(847) + sqrt(7)*1*1)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*s**4 - 5649*s**3 - 2*s**2 + 200810.\nAnswer: -124*s**3 - 16947*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 95*-34.28\nAnswer: -3256.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2.004.\nAnswer: 0.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 38524*s - 105. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n - 863 = -59 + 1026. Let z(o) = o. Let a(f) = -60*f. Determine n*z(s) - a(s).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -743, -1543, -2445, -3497, -4747?\n\"Answer: -8*j**3 - 3*j**2 - 735*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*x - 4*x**2 + 1308*x + 16*x**2 - 5*x**2 - 9*x**2 + 1266*x.\nAnswer: -2*x**2 + 3202*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -72. Is (2\/(-20)*4106)\/(z\/(-25)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + (-9 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-24)\/320)\/(((-18)\/15)\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3873752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*((3*sqrt(136))\/sqrt(8) + (sqrt(17) - (sqrt(1377) + 5)))**2 + 0.\nAnswer: 1500*sqrt(17) + 13500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:07 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 - 12*m**3 - 23*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1))\/4 + (-1398)\/(-12). Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 73 = z, -5*z + 16 = 3*r - 11. Let c = 2855 + -19988\/7. Sort c, r, 4.\nAnswer: c, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3. Let g = 0.3 - 0.4. Let s = -17 + 12. What is the smallest value in s, g, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -338*b**3*m**2 - 4*b**2*n**3 + 15*m**2*n + m*n**3 + 58*n**2 wrt b.\nAnswer: -1014*b**2*m**2 - 8*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3. Let a(p) = -3*p**3 - 2*p**2 + 2. Suppose -4*f = -4*d + 32 - 0, 5*d = -3*f + 8. Calculate f*g(t) + a(t).\nAnswer: t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {k: 5, x: 14}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.17, -4, 0.5, 5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128459467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 46*b - 836. Let z be l(-14). Solve -10*r + 5 = -5*r + 4*p, 2*p = -z*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let k(x) be the first derivative of -x**2\/2 - 4. Calculate s(k(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 1\/4, -18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*w = 451*w + 1444 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -8*j**5\/5 + 33*j**4 + 218*j. Find the third derivative of g(l) wrt l.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 9. Let q be r(-1). Solve -q = -w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 9 - 1. Let n(o) = -o**2 - 50*o - 220. Let p be n(-5). Solve -2*m = 6*l - 2*l + 14, -w*m = -p*l - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 20. Put -2, 0, c in increasing order.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 964280 and 482140?\nAnswer: 964280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -882 divided by 7\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -22*s + 35*s + 0 + 5 - 14*s - 4. Let o(b) = b**2 - b + 5. Determine 6*n(p) - 2*o(p).\nAnswer: -2*p**2 - 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9184762.37 rounded to the nearest ten thousand?\nAnswer: 9180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5353\/5 + -1070. What is the closest to 1\/4 in 1\/3, 0, m, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3617 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 + 2*f + 1. Let g(s) be the second derivative of s**5\/20 - 5*s**4\/12 + s**3\/6 - 3*s**2 + 2*s. Let p be g(5). Calculate o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-60) + (-8)\/10. Sort 0.1, -2\/9, b, -3 in ascending order.\nAnswer: -3, -2\/9, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c - 15. Let y be m(0). Let g be (-14 - 21) + (-3)\/1. Let v = y - g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -24*j - 43. Suppose 0 = 2*g - 5*l + 20, -4*g + 0*l - 3*l - 40 = 0. What is the units digit of i(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 50*d + 8722 = -22*d. Which is the second smallest value? (a) 0 (b) -5\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -50*f + 48*f. Let s(i) = 5*i - 8. Is s(f) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 2, -3, -1, -40 in increasing order.\nAnswer: -40, -3, -1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -620 + 616. Put h, 0.5, 0.4 in ascending order.\nAnswer: h, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1685 + 1717 + (2 - 1) + -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -224*d - 49. Let j(x) = -19*x + 1. What is 10*j(w) - t(w)?\nAnswer: 34*w + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 + 10\/(-5) + 0 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11026496*j**2 - 10382740 wrt j.\nAnswer: -22052992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + t. Suppose 0 = -0*n + 2*n. Let i = 1 - n. Calculate l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596759 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*x + 1926, -7*h - 2*x + 1444 = -4*h. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/111 (b) -1 (c) -2\/19 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 13, d: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1156 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 11*n - 51. Give t(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 17. Let p(s) = -s. What is -n(u) - 2*p(u)?\nAnswer: -u + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (0 + 4)\/(-4). Let q be (-6)\/(-4) - 2\/f. Suppose k - 6 = q. Which is bigger: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b - b - 18 - 15*b + 18 + (5 + 2 - 6)*(-b + b - 2*b))*(-2*b**2 + b**2 + 0*b**2).\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 3*w - 5. Sort 4, w, 3\/10 in descending order.\nAnswer: 4, 3\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -284\/27 (c) 1 (d) 0.5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9247326+0.4\nAnswer: 9247326.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -65 = -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (-1*(sqrt(170) + (sqrt(170)*-1 - sqrt(170))) - sqrt(170)))*-5)\/(((sqrt(100) - -5*2*sqrt(100)) + sqrt(100) - sqrt(100))\/sqrt(10)).\nAnswer: -5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.842291 to 3 dps.\nAnswer: 0.842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 67 - 38 + 25 - f.\nAnswer: -f - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258.242ml in litres?\nAnswer: 2.258242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00265173 rounded to four decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 4)\/(10\/(-25)). What is the fourth smallest value in 0.5, 9, -0.1, d?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446.9 minus -4.2062?\nAnswer: 7451.1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/2051 and 31\/1172.\nAnswer: 8204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76873 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b - 207 = 3*b - 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -47. Let -t**4 + t**3 + 7\/2*t + 1 - 1\/2*t**5 + 4*t**z = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Suppose t + 40 = 2*f - 2*t, 74 = a*f - 3*t. Suppose -33 = 5*k - 118. What is the greatest common divisor of k and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -343\/25 greater than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1122, 1194, 1324, 1512, 1758, 2062?\n\"Answer: 29*q**2 - 15*q + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182580298?\nAnswer: 2, 41, 367, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21140145 + -121?\nAnswer: 21140024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*a**4 + 9*a**3 + a**2 - 49*a - 444747 with respect to a.\nAnswer: -48*a**3 + 27*a**2 + 2*a - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12358979?\nAnswer: 47, 262957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7982 and 2866.\nAnswer: 2865.2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 9*b - 9. Let l be x(-8). Let i = 8 - l. Let c be 26\/(-42) - (-3)\/i. Is -17 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13502*x + 1296 = 13646*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -1\/40*d**6 + 0*d**3 + 1\/5*d**5 - 1\/70*d**7 - 32*d + 0 + d**2 + 1\/2*d**4. Find s, given that u(s) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 7.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 157*h - 154*h - 39 = 0, 0 = -v + 5*h - 57 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-48)\/(-40) - (-144)\/(12\/(-2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 853 - -1888. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14126 + -111?\nAnswer: -14240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 38*o**2 + 54*o + 56. Is h(39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (612\/(-3400))\/(54\/90)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 7*n**2 - 7*n - 13. Let r be j(-7). Suppose 23*y = 14*y + r. Solve -y*q + 5*q = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*i + 733 - 6, 4*i - g = 709. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929.0163 litres to millilitres.\nAnswer: 929016.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3197 + 2734. Which is the biggest value? (a) 2 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -6, 10281?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -105465?\nAnswer: 105501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16925601643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 165 and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17865)\/22*21\/(-5). Let h be ((-25545)\/(-9))\/5*(-5 - 1). Let b = n + h. Calculate the common denominator of -57\/2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 4*d - 9, 4*p = -3*d - 93. Let i be 16\/42*p\/(-36). Factor 0 + 1\/9*z**5 + 0*z - 1\/9*z**3 + 2\/9*z**4 - i*z**2.\nAnswer: z**2*(z - 1)*(z + 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352*y**2 + 65*y**3 - 352*y**2)*(3 - 5 + 12).\nAnswer: 650*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -64.73. Let l = g + -0.27. What is the second smallest value in 3, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*w - 100, -187*w + 4*u = -184*w + 60 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 423*u**2 + 3*u + 917*u**2 - 539*u**2.\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*g - 2*d**4 + d**3*g + 2*d**3 - d**2*g - 48*d - 5 wrt d?\nAnswer: 24*d*g - 48*d + 6*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, q: 7}. Give prob of sequence qqmq.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 15, o: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*n + 11. Suppose -6*t + n + 23 = 0. Suppose 4*w - 3*w = f - t, -4*f - 2*w + 2 = 0. Solve 0 = -f*d + 7*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 7*h - 1. Let u be k(7). Let a = 27.17 - 0.17. Let f = -27.06 + a. Sort 3, f, u in descending order.\nAnswer: 3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - m = 2670 + 13, 0 = 5*z - 4*m - 3362. List the prime factors of z.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1, 0, 3\/337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 198*r - 199*r + 402*r - 46, r = -4*x + 6*r + 134 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 12. Let x(l) = -l**3 - 5*l**2 + 6*l + 14. What is the least common multiple of z and x(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 25. Suppose -5*u + 12 = -2*x, 3*u + n*x = -u + 4. Suppose m - u = -o + 1, o = -5*m - 1. Solve o*c + 11 + 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*f - 9 = -497*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = l + 4*j, 4*j - 8 + 20 = 4*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 977481010 to the power of 1\/2, to the nearest integer?\nAnswer: 31265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-14)\/(x**(-5\/7)\/x))\/((x*x**11*x)\/(x\/x**(-1\/7))))**(-2) assuming x is positive.\nAnswer: x**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 1, g: 1, y: 1, x: 1}. Give prob of sequence xew.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -23*m**2 + 4*m + 4. Let n be 18\/21*(49\/(-21) + 3)*7. Let a(g) = g**2 - g - 1. Determine n*a(b) + q(b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3249a (base 13) to base 2.\nAnswer: -10110001100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 44*l**2 - 49*l + 49. Let y be h(1). What is the highest common divisor of y and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -17, -20, -23, -26?\n\"Answer: -3*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 1)*(-5 + 5 + 2*n)*(145 + 38*n - 145 + (-1 - 4 + 3)*(n + 4*n - 2*n)) to i*n + l*n**2 + b and give l.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 20. Let a be ((-4)\/(-15))\/(c\/10). Let w = 13 + -15. Is a at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*v - 328 - 240. Solve 5 = -5*k - 7*s + v*s, -2*k = -s - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*x**3 - 12*x**3 + 3 to s*x + l*x**2 + w*x**3 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 9177780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77165159 and 420920.\nAnswer: 10523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q - 4. Let r = -1 + 3. Suppose -2*w = 3*z + 1, -r*w = 3*z - w - 4. What is the remainder when t(5) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507539 is divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-22)\/88?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24562?\nAnswer: 2, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7325824 (base 9) to base 14.\nAnswer: -73c8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -202.8 and 0.64.\nAnswer: -202.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:27 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*t - 0 + 7, -12 = -5*t + 2*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.689145 + 38.695045. Let w = -38.09 - -0.09. Let q = g + w. Round q to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 1135*b**2 + 1120*b + 2260 = 0. What is b?\nAnswer: -1, 2, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32362630?\nAnswer: 2, 5, 3236263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -690*((-168)\/(-35) + -4). Let y = d + 593. What is the remainder when 322 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 57 - 94 + 57)*(-3 + 3 + 4*t) in the form u + r*t**2 + s*t and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dukxkuxbbdddbbku. What is prob of sequence kk?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**3 + 4*d**2 - 5*d + 5. Let s(a) = 14*a**3 - 6*a**2 + 8*a - 8. Determine 5*s(l) + 8*y(l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -40 (b) 0 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - ((-231)\/(-22) + -11 - (-43587)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5988927*z + 3650569*z + 1262683*z + 12536856*z.\nAnswer: 23439035*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 7. Let k be z(11). Let s = -14\/9 + 8\/9. What is the nearest to s in k, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 - -12 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 51?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, -220\/3, -1, 0.1?\nAnswer: -220\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 1, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 6. Let a = 70.7 + -77. Let v = a - q. Sort v, 0.3, -5 in descending order.\nAnswer: 0.3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3865*a**5 - 5*a + 94624 - 94624 + 3*a**5 - 5*a**5 + a**5 + (0*a + 4*a - 2*a)*(3*a**4 - a**4 - 3*a**4).\nAnswer: 3862*a**5 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309199 or -309197?\nAnswer: -309199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - n**4\/4 - n**3\/3 - 5*n**2\/2 - 6*n. Is o(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:10 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, -213, -1185, -3033, -6051, -10533?\nAnswer: -16773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048534 - 1?\nAnswer: 1048533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(-5 + (1*sqrt(152)*2)\/(sqrt(8) + (sqrt(128) - sqrt(32)) + sqrt(8))))**2.\nAnswer: -135*sqrt(19) + 3213\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265004160 a multiple of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234307283.\nAnswer: 7, 61, 97, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -a - 2*q - 2, 14 = -3*a - 5*q. Let j be -2 - (2 + a)*5. Suppose -5*u + j*u = -30. What is the remainder when 29 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10108\/224 + 2*(-2)\/32. Calculate the greatest common factor of 3285 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**3\/3 - 14746925*j**2\/3 + 58987760*j\/3 - 58987780\/3 = 0. What is j?\nAnswer: -2949389, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 - 55*x + 92. What is h(-9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73689200 and 4550?\nAnswer: 515824400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 658 - 1399. List the prime factors of 11 - 10 - (-3 + m).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/5 + 6*m**3\/5 + 4*m**2\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262.876 + -258. What is z rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -5 (b) 0.4 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -2.3. Let w = 0.5 + 4.5. What is the biggest value in w, -5, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278746*4.\nAnswer: 1114984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 220979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149645 - 0.12.\nAnswer: 149644.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*a**2 - 7*a**2 - 19*a**2)*(153*a + 1433 - 1433 + (0 + 2 - 4)*(4*a + 3*a - 5*a)) as c*a**3 + x + z*a**2 + k*a and give c.\nAnswer: -5364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 386200 and 139032.\nAnswer: 3475800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 8. Suppose -79 = -2*t - a*t + 3*k, -5*k = t - 37. What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 4*x**2 - 5*x + 3. Let n be u(2). Let t(v) = 6*v**3 + 26*v**2 - v - 15. Let j be t(n). What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*z, -2*q = 3*z + 1 + 2. Let g = 15 + -10. Let h be 1*(-8)\/(-20)*g\/z. Which is the nearest to h? (a) -1 (b) 2\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 6 = 4*z + j, -z - 9 = -5*j. Let y be (-3)\/z - 475\/165. Is y >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:42 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqqqqqqqqqqqqqqqqn. What is prob of sequence qqq?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22243 + 15392. Is -0.1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/(-51)*(-6)\/(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -869 - 190*y**3 + 54*y**2 + 2*y**4 - 814 - 56*y**2 wrt y?\nAnswer: 8*y**3 - 570*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3336458 microseconds in minutes?\nAnswer: 0.00000002222743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*30\/24*(-16)\/(-280)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:42 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -27365 = -27363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 4.\nAnswer: 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgcg. What is prob of picking 1 c and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, -0.4, 3\/2.\nAnswer: -27, -3, -0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*d - 25*d - 19*d + 61 to p*d + c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -168 + 0 + 2 + (-11 - -55)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.4 - 1.4. Let f = 196 + -195. What is the nearest to f in 0, -0.06, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1592, -3, 2, -44 in descending order.\nAnswer: 2, -3, -44, -1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/5 - 34620394*y**3\/5 - 57700664*y**2\/5 - 11540134*y\/5 + 11540133\/5 = 0.\nAnswer: -1, 1\/3, 11540133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-1 - -1 - -1). Let d(l) = l + 7. Let p be d(-20). Let q(o) = -o - 13. Let w be q(p). Which is the closest to 1\/2? (a) w (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -3*m + 3, 0 = 5*m - 15. Solve 0 = -p*c - 1 + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*q + 9*q**2 + 441*q + 2*q**2 - 8*q**2 to the form c + w*q + s*q**2 and give w.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 10*o**2 + 11*o**2 + 13 + 3*o.\nAnswer: o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + h + 6. What is the units digit of s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 59 = 3*b, -3*z + 2*b + 52 = 51 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r**3 - 9*r**2 - 7*r - 5. Let d(j) = 9*j**3 - 9*j**2 - 6*j - 4. Let g be (-14)\/(-105) + (-232)\/(-60). Let n(w) = g*l(w) - 5*d(w). Factor n(p).\nAnswer: -p*(p - 2)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((-1 - 2) + -4). Suppose -3*n - 2 = -t*n. Solve -s - n = -3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 - 11?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:46 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2, -1769, 4, 6 in decreasing order.\nAnswer: 6, 4, 0, -2, -3, -1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 6*k + 6. Let r = -116 + 119. Suppose 3*z + 2*l - 3*l - 17 = 0, -r*l + 3 = 0. Suppose 2*p - 4*x + 4 = 0, -z*p + 2*p - 5*x = -44. What is v(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31323 + -11390.767\nAnswer: -42713.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -873 - -877.8. Let t = 4.8 - 6. Let p = f - t. What is the nearest to 1 in 1, p, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/20 - m**3 + 63*m**2\/10 - 762*m. Solve i(z) = 0 for z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4 + 34*v**3 + 84*v**2 = 0.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*t**3 + 12*t**2 - 148*t.\nAnswer: -66*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from nni.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 1, a: 2, y: 6, v: 4, e: 1}. What is prob of picking 1 v and 2 y?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354255 (base 6) to base 7.\nAnswer: -155510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(65)*4 + sqrt(65))\/sqrt(5) - ((sqrt(1053) - (sqrt(1053) - 4*sqrt(1053)))**2 + sqrt(13)).\nAnswer: -16848 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32760*k**5 + 13*k - 460.\nAnswer: 655200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 - 1. Let t(u) = 2*u**3 - 8*u**2 + 2*u + 5. Let p(q) = -6*f(q) - t(q). Determine p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2770 + 233 + 1041 - 2*r.\nAnswer: -2*r + 4044","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 1. Let p(i) = 1. Let w(b) = p(b) - 2*x(b). Give w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450403 is divided by 548?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39912 is divided by 1301?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzwjzmgjj. Give prob of sequence gw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 411*t**2 - 1233*t + 1. Determine r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Suppose 0 = -b - 5*c + 8, 0 = x*b - 5*c + c - 5. What is the units digit of b + 3 - (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -1\/7 (b) 2 (c) -9540 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 617*(98 - 6) + (4 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 + 1. Let o be j(9). Let l be (o\/(1\/(-8)))\/(-2). Solve -l*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - -4) + -16 + 26 + -86 + -4.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12286 times -331?\nAnswer: 4066666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 733560127*z**4 - 516161001 wrt z.\nAnswer: 2934240508*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.096 (b) -0.3 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 22*g - 25. Give u(-22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 - 55. Calculate the remainder when z is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137025, -274051, -411077?\n\"Answer: -137026*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.44 + -0.04. Let s = 347 - 111. Let f = 231 - s. Which is the second biggest value? (a) f (b) 1 (c) 2\/9 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12046084 to the power of 1\/2, to the nearest integer?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31576488399 and 0.5.\nAnswer: -31576488398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 20. Suppose -t = 4*l - 13. 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 is the third root of 6796 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/((b**(2\/5)*b)\/b)*b))\/b)**(-3\/23)\/(b**(-10)\/(b**2\/b*b)) assuming b is positive.\nAnswer: b**(1389\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfkfkkjfkfjfkffkkk. Give prob of picking 2 k and 2 j.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -18*a**3 + 12*a**2 - 10*a - 1. Give j(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6368195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -3*u - 31*m + 2*m + 25*m, -4*u - 2*m = -9*u + 20 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5231?\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312 - 307. Solve -5*p + 10*p - j*p - 30*p**2 - 4*p**3 + 3*p**4 - 5*p**3 = 0 for p.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose 0*r - 2*r = -10. Put -3, o, r in decreasing order.\nAnswer: r, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 592871434 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6958*p + 1405. Let q be g(-4). Calculate the highest common divisor of q and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvw when three letters picked without replacement from vwvvvwq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6407175 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 19, 45, 83?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 952466 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-171)\/4)\/9 + 6\/(-24). Let x(l) = 9*l + 81. What is the lowest common multiple of 4 and x(d)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101969493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 52, 99, 160?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*12\/(-8) + 63.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - h - 5)*((0 - 1 + 2)*(1 + 0 + 1) - 3 + 12 - 8) in the form j + v*h and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2091 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1846899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 9*w + 14. Let s be a(-10). Let d = s - 2. Solve 0 = -5*z + d*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125*-0.5.\nAnswer: 62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 684184727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/14 - (-5)\/(-35). Let t(y) = -y**3 - 7*y**2 - y - 7. Let i be t(-7). Is z greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 270.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*n = 7, 4*g + 2*n = 8*g - 2. Let f be 19 + -17 - 3\/g. Suppose -4*z = f*m - 75, -2*m = 4*z + m - 85. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*x = 0, 2*a + 5*x = -0*x + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1525 and 80?\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 34996 = -q + 2*y, -2*q = -y - 69993. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153269*i**2 + 182772*i wrt i.\nAnswer: 306538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -306, -229, -102, 75, 302?\n\"Answer: 25*f**2 + 2*f - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*z + 44. Calculate the lowest common multiple of 4 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 230475410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.85367 * -0.7.\nAnswer: -34.897569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -24b?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 a factor of 876593788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106250 and 1448125.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 < 46391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 58900978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, 1 t, and 1 d when four letters picked without replacement from {s: 1, d: 1, b: 1, l: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.36 in 2\/3, -11, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12 = 4*z, 14*b = -3*z + 12*b + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 1\/6*k**3 + 0 + 0*k + 1\/4*k**4 - 1\/60*k**5 - k**2. Let o(v) be the first derivative of g(v). Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*o + 16, -3627 = 4*s + 2*o - 3629. Let z(m) = 5*m + 5. Let f(t) = -6*t - 4. Give s*f(a) + 3*z(a).\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (18 - 18\/522)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 768234546 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:54 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**6\/36 - s**5\/40 + 2*s**4 - 32*s. Let p(h) be the third derivative of i(h). What is the hundreds digit of p(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5 + 33*x**4\/5 - 61*x**3\/5 + 3*x**2 + 18*x\/5 = 0.\nAnswer: -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 9*b**2 + 5*b + 1. Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20236132 rounded to 4 decimal places?\nAnswer: 0.2024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -24.2 (b) 0.02 (c) -138\/7 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(9\/(-12) - -1). List the prime factors of (8\/(-18))\/(-2) + (-7768)\/i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22908515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20 = 136. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276035 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 134929756 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11424, 22477, 33530, 44583, 55636, 66689?\nAnswer: 77742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3*6\/1. Suppose -4*o = -3*g + g - 36, 4*g - j = 0. Suppose -5*f = -o*f + 1155. What is the greatest common divisor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126796*n**2*o*r**2 + 2375*n**2*o*r - 2786*n*o*r**2 - 91337*n wrt n.\nAnswer: -253592*o*r**2 + 4750*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 - 6*z - 6. Let f(q) = 6*q**2 - 7*q - 7. Let l = 453 - 446. Let p be (-1 + 1)*(-1)\/2. Let i be 0 - p - -1 - 7. What is i*f(w) + l*t(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.48 + 0.48. Which is the fourth biggest value? (a) 2 (b) n (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 - 91.5. Let m = z + 47. Let l = 44.2 + m. Round l to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3.172, -5, -4.\nAnswer: -6, -5, -4, 3.172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-182)\/(-2) - (-4 + 1)*-1. Suppose o = -0*l + 5*l - 2*p, -5*p = 20. What is the common denominator of 68\/(-48)*l\/3 and -24\/17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 2. Let m(w) = -w. Calculate -6*m(y) + u(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5740 and 0.011?\nAnswer: 5739.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -14*i - 2*m - 12, -14 = -11*i + 6*i + m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/6, 0.3, -0.2, -0.24, 0.5, 0.056, -2?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -4*a**2 + 0*a**4 - 1\/336*a**8 + 1\/120*a**6 + 0*a - 1\/210*a**7 + 1\/60*a**5 + 0 + 0*a**3. Factor h(c).\nAnswer: -c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18802?\nAnswer: 2, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2088, 4175, 6264, 8355, 10448?\n\"Answer: o**2 + 2084*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-564)\/(-16) + (-4)\/16. Let g = 36 - r. Solve -1 = 2*c - 5*l, -c = -2*l + 2 - g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 23*u**2 + 71*u - 6. Let q be j(-26). Let s = -234 + q. Which is smaller: s or -57?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62407, -64019, -65631, -67243, -68855, -70467?\nAnswer: -72079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 6*h - 1364. Let s be f(-40). What is the closest to 0.1 in 3, -0.2, s, -113?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*m - 69*m - 4578685 + 608433 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39959659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 - (-22920)\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 18}. What is prob of picking 2 n and 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 255ab - 953?\nAnswer: 24858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -0. Let m = g - -1. Let w(t) = t + 2. Let u be w(m). Solve -u*x + 2*i + 21 = 0, -2*x = -i - 5 - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/102 + -1\/17. Let j = -0.127 - 0.373. Which is the closest to 0.1? (a) j (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 6, e: 8}. What is prob of picking 2 j?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:43 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -335, -1452, -3313, -5918, -9267?\n\"Answer: -372*l**2 - l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -87, -63, -9, 87?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-2)*12\/(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 521916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -6. Let y = m + 3. What is the closest to -2\/5 in 5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s + 7. Let l be o(-3). Let g be (7\/(-14))\/((-1)\/8). Put g, 11, l in increasing order.\nAnswer: l, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6046434 (base 7) to base 11\nAnswer: -450305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -1\/2 (b) 0.1 (c) -33 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2755962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 3, y: 13}. What is prob of picking 3 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -313? (a) -3 (b) -0.7 (c) 10 (d) -2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/70 - (4\/(-14))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*25405\nAnswer: -22864.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 28*q + 4*q + (2*q + 0*q + 0*q)*(1 - 1 + 1)*(2 + 2 - 2).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g - 34. Let i(o) = -o + 4. Let t(d) = 51*i(d) + 6*p(d). Let k(w) = -50*w. What is k(t(c))?\nAnswer: -150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhiihmiibbihhbbhi.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43141.5 - 4.\nAnswer: 43137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17259197743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1317*j**2 + 835*j**2 - 1470*j**2.\nAnswer: 682*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 19*w - 5*v = 144968, 3*v - 96677 = -2*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.1. Let p = -89 - -90. What is the nearest to l in 1\/4, -5, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/468 and 151\/312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 4\/3 (c) 24827\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*b**3 + 573678*b**2 + 254956*b + 28328.\nAnswer: (b + 7082)*(9*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqu when three letters picked without replacement from eeeeqeqqmnu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -4, -4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4697194 and 8.\nAnswer: 18788776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 8*d**2 - 153*d - 39. What is i(-17)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2. Let s(l) = -368889*l**2. Determine d(s(b)).\nAnswer: 816474565926*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-779)\/((-81795)\/9)*((-14)\/(-4))\/(1\/22).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 36356.3 years?\nAnswer: 3635.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h. Let u be (-2)\/(-9) + 94\/(-18). Let l(m) = -m**2 - 5*m + 4. Let p be l(u). Solve h - p = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 4*h**2 - h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 116382477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -1.6075, 17\/12 in decreasing order.\nAnswer: 1.5, 17\/12, -1.6075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -52*g + 1\/2*g**2 - 1 - 1\/6*g**3. What is z(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let y(s) = 2 - 4 + 1 + 7*s - 3. Let q = 10 - 14. What is q*c(i) + y(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (13 - 7)) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*b + 2. Suppose -d + n = -3*n - 22, -b = -d + 2*n. Let z(g) = 6 - 5*g - 5 - g**2 - d. Calculate z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8354 = 118129*g - 117781*g - 45938 for g.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542.3 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10325787 divided by -17.\nAnswer: 10325787\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 87858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 divided by -1.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(525)*-6)\/(sqrt(18)\/sqrt(6)*5) + -2.\nAnswer: -2 + 31*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-4)*(-73)\/2*3. What is d rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38243684, 38243685, 38243686, 38243687, 38243688?\n\"Answer: p + 38243683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.014039126431 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j + 180. Calculate d(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3 - 3 - 2*x**2. Let b(a) be the second derivative of a**5\/120 - a**3\/3 + 2*a. Let q(v) be the second derivative of b(v). Determine q(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -176. Let y = -49 - j. Calculate the remainder when y is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 2\/7 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3c0 (base 13) to base 10\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*h**3 - 1557400*h**2 - 7560947765*h + 182360914680 = 0. Calculate h.\nAnswer: -38983\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 0\/(-5 + 3). Suppose d*s - q - 44 = -0*s, -3*q + 3 = 0. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 741*d - 8389*d - 8192*d - 6382*d + 1924*d to the form s + i*d and give i.\nAnswer: -20298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881846 is divided by 610?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4\/3, 3, 61, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/(-2)*0\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 40907076.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from edddddddddde?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3438*n**4 - 3*n**3 + 3435*n**4 - 3*n**3 + 5*n**3 - 279*n**2 to j*n**4 + b + t*n**2 + h*n + c*n**3 and give t.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939 is divided by (9\/4)\/(192\/512).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -18. Suppose -8 - 7 = -3*w. Find the third derivative of 63*r**a - w*r**2 + 12*r**2 - 74*r**5 wrt r.\nAnswer: -660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 41*v + 12. Let g be k(10). Suppose -32 = -2*w + 4. Let q be -3*(-40)\/w + -3. Put q, 0.5, g in descending order.\nAnswer: q, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {t: 2, q: 11, e: 1, y: 4, c: 1, x: 1}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -4 (d) -3\/7 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218138 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/1645*(-1 - 6\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmjj. What is prob of picking 1 m and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40371686 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -y, -5*j = -21*y + 19*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 184*8\/72*(-108)\/24.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(5445) - (sqrt(15)\/(2*sqrt(3)) + -5*1*sqrt(5) + sqrt(5)))**2 + -1 + -5.\nAnswer: 567821\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 25*h**2 - 116*h - 32. Determine n(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335544 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-828)\/32 - 3\/(-24). Find the third derivative of -i*n**3 - 21 + 12 - 46*n**3 + 9 + 17*n**2 wrt n.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40570 + 21?\nAnswer: 40611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-5))\/(45\/(-5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/5)*(o\/((o\/(o\/(o*(o*o**(2\/35))\/o)))\/o))\/o)**(3\/2) assuming o is positive.\nAnswer: o**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose m = 3*l - 1. Solve -n + 2 + l = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 671*o + 6025. Determine d(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167262 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5316 + -95573\/18. Calculate the common denominator of q and -73\/94.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n - 20. Suppose 2*y + m = -y + 167, 155 = 3*y - 5*m. Let b = y - 30. Solve -n*x - b = -5*u, 2*x = 5*u + x - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*d**2 - 5 - 6 - 11 + 6 wrt d?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgggvggggvgvggggg. What is prob of picking 2 v and 2 g?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 55*q**3 + q - 54*q**3 + 5 - 2*q**2 to o*q**2 + d + j*q + z*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6 - b**2 + 12*b - 12*b. Let z be p(0). Suppose 2*n + 4*v = z + 14, 0 = -2*v - 4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 4 = 0. Let c be 61 - (2 + -3)*-4. Suppose -2*k = -5*i - c, 5*k + 5*i - 195 = -0*k. What is the greatest common divisor of r and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*a**(-10\/11))**(7\/2) assuming a is positive.\nAnswer: a**(-917\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 303963697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1047798?\nAnswer: 1\/523899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.24 + -39. Let q = 1 - 1.128. Let a = z + q. What is a rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 2219. Let j(y) = 112*y**2. Determine z(j(d)).\nAnswer: -224*d**2 + 2219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -435242 times -2\nAnswer: 870484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 7253 - 5494 = 0. List the prime factors of f.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = 4*x - 2, 2*s - 1 = x. Suppose 7 - s = a. Calculate the remainder when 9 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1042 - -1551. Suppose -3*s - 5*k + u = 0, 45 = s + k - 124. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -672*k - 1746. Let i(s) = 79*s + 204. Let u(a) = 42*i(a) + 5*y(a). Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwsnwrwrrwnnrm. Give prob of picking 1 r, 1 m, 1 s, and 1 w.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 27. Let k be (-130)\/r + 2\/(-8). Differentiate k*h**4 + 19 + 35*h**4 - 33*h**4 with respect to h.\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101301 + 32011323?\nAnswer: 33113230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -10227?\nAnswer: 4\/1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 754? (a) 4 (b) 1\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2e385?\nAnswer: 2e385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1434 + -1?\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0697 * -1025.769\nAnswer: -71.4960993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**3 - 647211*f**2 - 6981173808*f + 4188937284.\nAnswer: -3*(f + 21574)**2*(5*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -883.6 and -0.4?\nAnswer: 353.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (605\/(-300))\/11*(-18)\/4 and -75\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279 - -263. What is the closest to 2 in 2, q, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0 + sqrt(2448) + -3)**2.\nAnswer: -144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or -2\/747?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17466aac - -3?\nAnswer: -17466aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 237\/(-2)*88\/(-165). Let m = 352\/5 - v. Find x, given that -4\/5*x**2 - m - 24\/5*x = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.3 + 24. Let l = 2 - p. Let c = 0.1 - 0.1. What is the nearest to c in l, -1\/2, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w**4 - 337770*w**3 + 14619570*w**2 + 18717860*w + 3760464 = 0. Calculate w.\nAnswer: -1, -1\/4, 314\/7, 5988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(228))\/sqrt(12) - (-1 + sqrt(2736))) + -5)**2.\nAnswer: 112*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407128573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**3 + 9*r**2 - 13*r - 33. Let b(w) = -5*w**3 + 4*w**2 - 7*w - 17. Let p(t) = 11*b(t) - 6*x(t). Is p(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -158, -161, -148, -113?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-27)\/(((-84)\/8)\/7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 - -673. Suppose -5*y + 6*y = -4*i + o, 5*y - 2045 = 3*i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:44 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -6 (d) 0.2 (e) -37.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 3450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.71 + 3.194. Let x = -0.7 + d. Round x to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - (-4 - 15 - -6)) + 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 12*x**2 - 114*x - 51. Determine t(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396428 divided by 4.\nAnswer: 99107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((((-1728)\/32)\/3510)\/(2\/2))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16 and -39\/408232.\nAnswer: 816464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2, -4*l + 1 = r - 0. Let u be (2 + 5)*(-6)\/r. Suppose 80 - 271 + 1471 = 640*h. What is the highest common factor of u and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from eeeyeeekeyeeebe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1469 + -11755\/8. Which is the closest to -0.1? (a) h (b) 5 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*l + 12260, -l + 9189 = -2*x - x. Let n = -3742 + x. Let p = n + -13396. What is p rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*v - 49, 4*x - x + 174 = -3*v. Let d = x - -37. Does 4 divide (d\/(-15))\/(3*1\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2725 + 5?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 5*h + 21*h**3 - 2*h + 18*h + 1 + 13*h.\nAnswer: 15*h**3 + 24*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*c - 5*x, -4*x = c - 4*c - 28. Let y = 1 - c. Suppose -55 = -3*d - 2*o, 2*o - 29 = -2*d + y. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/1491)\/((-146760)\/(-36692) + -4). Let b = 168\/71 + l. Let v = -126479\/20 - -6327. Calculate the common denominator of b and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6200*-0.2.\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*k**3 - 28*k**2 - 80*k.\nAnswer: 4*k*(k + 1)*(13*k - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 479 - 25. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 6. Let b(g) = 4*g - 2. Let c(s) = -8*b(s) + 3*j(s). Determine c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-124 + 16))\/((-8)\/36)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333737461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a - 2*h, 3*a - 4*h = -1 - 3. Suppose -c + a*r = -6, -5*r - 2 = -2*c - 2*c. Suppose 2*v + 1 = -4*z + 9, 5*v = -z + 20. Sort 1, c, z.\nAnswer: c, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-39) - 3295830\/(-1475019).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -80. Let k = z - -31. Let r(t) = -2*t**3 + 4*t**2 - 2*t - 7. Let c(o) = 5*o**3 - 11*o**2 + 5*o + 21. Let j(g) = 3*c(g) + 8*r(g). What is j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/132)\/(21\/(-16))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 240 = 3*y, 2*p + 0*p = -3*y + 219. Let v = -1\/507 - -45133\/5070. Calculate the common denominator of 2\/5 + 1270\/y and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 2, r: 9, g: 3, d: 1}. What is prob of sequence bgg?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -152, -332, -584?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -713 and -591723123.\nAnswer: -591723836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.331, -4\/9, -1.9, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i**2 + 4*i. Let r be s(4). Suppose -4*h + 10 = -2*j + 2, 2*j + 6 = 3*h. Let u(g) = g**h + 2 - g**3 + 2 + 4. Determine u(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161047982*d + 3677006.\nAnswer: 161047982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 851\/6 - 144. What is the common denominator of ((-339)\/(-12))\/((-18)\/(-4)) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 - -2 - (-1 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 117, 281, 523, 849?\n\"Answer: w**3 + 30*w**2 - 5*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*z - 2*s + 56, 3*s - 32 = -z. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23247 and 3762?\nAnswer: 9717246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 10*f**2 - 3*f + 20. Let v be s(5). Solve 0 = -2*o + v*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -13, -64, -145, -262?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 958130 to the power of 1\/2, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 40 = -4*t, -1191 = -2*t + 2*m - 1191 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 16 - (-2 + -2 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012638 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**2 - 7*n**2 + 13*n**2 + (n + 42*n - 5*n)*(-n - n + 4*n).\nAnswer: 95*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = d + 6*v - 11, -4*d = -v - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24\/11 - -155\/66. Let z = -0.02 - -1.02. Which is the biggest value? (a) z (b) 4\/7 (c) f (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23 and 4908698932814.\nAnswer: 4908698932791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k, 0*k = -b - 4*k + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + n - 2*n + 99799, 0 = 2*u - 2*n - 99820. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 8. Let l be x(-10). Is l\/(1\/180*5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1148400 divided by -26100.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11025799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -8)\/10 - 243\/(-6). Let l = 289\/7 - j. Which is the third biggest value? (a) l (b) -0.4 (c) 3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r + 5, 2*b - 2*r = 26. Suppose b*l - 12 = 4. Solve 9*d = 11*d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 454 + -2266\/5. What is y in 2*y + 2\/5*y**3 + r + 8\/5*y**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -113*b**2 - b. Let l(d) = 8*d**2. Let h(m) = -11*m**2. Let s(i) = 2*h(i) + 3*l(i). Give v(s(y)).\nAnswer: -452*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 112*p**2 + 260*p - 51. Calculate r(35).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a - r + 25 = 0, 0 = -2*a - 5*r + 41. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from xkxfxkkk?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 + 0*a**2)*(11701*a - 10347*a + 8244*a).\nAnswer: 9598*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1267, -1304, -1387, -1534, -1763, -2092, -2539, -3122?\n\"Answer: -3*i**3 - 5*i**2 - i - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 + s + 16. Calculate the remainder when g(0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*d + 2. Suppose 5*s - 29 = -3*i, -3*i + 5*s + d = -10. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 56. Let n = 76 + -20. Calculate the greatest common factor of m and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/3)*h)*h*h\/((h*h*h**21\/h*h)\/h))\/(h**(1\/12)*h*h\/h**(-1\/2)) assuming h is positive.\nAnswer: h**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1680 and 14425170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/30*(-100)\/(-16). Let r(q) = -q**3 + 13*q**2 + 2. Let k be r(13). Suppose 5*j + 20 = -m + k*m, 0 = 2*m - j - 4. Solve -5*u - y + m = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27 + 0.03. Let f = -0.28 + -0.16. Let h = f - -0.04. What is the nearest to 0.1 in j, h, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2686770 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 257*o - 827 + 1027 - 6*o**3 - 262*o as l*o**3 + r*o**2 + n*o + g and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-1209408.4.\nAnswer: -24188.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 204.6735241 to 0 decimal places.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/16 - (-392)\/(-448).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -13, 4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 12*n + 668. Let u be i(-17). Solve 12*d = 10*d - 5*c - 21, 0 = -5*d + u*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -11 - (-1 + -6)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 4*u + 4*u + 2*u - 3*u + 3*u - u + 0*u - 3*u + u + 4*u + (-1 - 3 + 3)*(0*u + u + 0*u) - 1 + 1 - 2*u)*(-u + u + 2*u**3).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5003399 - 4*o**3 + 0*o**3 - 5003399.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 94 = -2*j - 19*i, 3*i - 188 = 4*j. Let v = 260 - 160. Let q = v + j. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5620159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 o when three letters picked without replacement from {o: 2, j: 1, g: 1, i: 1, n: 1, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 256*u**7\/273 - 256*u**6\/195 + 48*u**5\/65 - 8*u**4\/39 + u**3\/39 - 2*u + 7. Let c(o) = 0. Calculate o.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let c be i(-5). Suppose 4*b + 15 = -c*u, -u - b - 6 + 3 = 0. Let t(w) be the first derivative of -w**2\/2 - w - 1. Give t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 3087.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1, 1730127, -0.11 in decreasing order.\nAnswer: 1730127, 1\/5, -0.11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 2*f**4 - f**2 + 14 + (1 - 2 + 0)*(799*f**3 - 799*f**3 + 51*f**4).\nAnswer: -49*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -20. Let d(v) = -v**2 + 11*v - 33. Let y be d(9). Let r = y + f. Solve 0 = 2*w - w + r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 244 - 1217\/5. Let v = 5.6 - 9.3. Let z = -3.6 - v. What is the nearest to z in -2, -0.03, u?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*a + 41 - 117*a + 32*a + 17 - 57.\nAnswer: -178*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 14*x + 10208 = 4*z, -2*z = 5*x - 5104. Is z a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {w: 1, i: 1, h: 1, q: 4, j: 2, o: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5343\/5 + -58758\/55. What is the nearest to k in 1, -10, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1423 (base 5) to base 15\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -1778.\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from aazzzzzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1809 and 133263402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/45 and -144911 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 5. Suppose 3*w + 0*w + 4*y - 25 = 0, d*y = -2*w + 26. Solve -9 = w*c, -4*t + 31 = -c - 4*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12080 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 18732860 = -7*o. Let h be (o\/6)\/(4\/282). Suppose 7522221 = -5*j + h. Round j to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + ((-8)\/56)\/((-1)\/7) + 1185?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-45)\/2)*(22 - 25). What is the third smallest value in 1.2, -0.5, u?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -1 - (244 - 230)) + (4 - 77) + -8?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*b - 27 - 13, -4*b + 34 = -2*z. Suppose -3*f = 2*k - 1, k - b*f = -14*f - 10. Solve 19 = s - k*y, -2*y = -4*s - 0*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 - 196*r**2 + 82596*r + 249444 = 0. What is r?\nAnswer: -169, -3, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131129 is divided by 533.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7 = -3*g - 0*g, -3*g + 21 = 3*b. Let r = 13 - 12. Solve b - r = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258675 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 122*i**2 + 1787*i - 188. Suppose 3*f = -2*f + 95. Calculate the remainder when v(105) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 8*l - 3*t = 22, -5*l + 4*t = 148. Let i = -24 - l. Suppose -i*j = -279 - 417. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 58*n**2 - 175*n + 7. Let p be s(3). Let l = 5 + 4. What is the remainder when ((-32)\/5)\/p*(-45)\/6 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -820.25 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 383*g**5\/60 - 213*g**3\/2 + 2*g**2 + 157. Differentiate q(t) with respect to t.\nAnswer: 766*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 38. Calculate the least common multiple of a(-9) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 370. Differentiate q*s**2 + 24 + 1469*s - 1469*s wrt s.\nAnswer: 510*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 18*v**2 - 45*v - 58. Determine r(-20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 - 84 + 28 - 30024*m**2 - 14910*m**2 + 30 + (-5*m + m + 3*m)*(4 - 4 + m).\nAnswer: -44935*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.088 + 7.962. Let w = s + -8. Let n = -1.3 - -0.3. Is n >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*k - 6*k + 1106 = 4*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (193*v**2 + 8*v**3 - 193*v**2)*(2 - 2 + 4*v) to the form z*v**4 + a*v + q*v**3 + r*v**2 + p and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eme when three letters picked without replacement from {e: 2, m: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/10)*r\/(r*r*r**(2\/11)*r))**(-2\/27)\/(((r**(-1)\/r)\/r)**4\/(r**(1\/4)\/r**0)) assuming r is positive.\nAnswer: r**(24619\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let x = p + -3. Let -x*h**2 - h + 2*h + h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.167 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 382.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/5*(-4)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11000101010100111010?\nAnswer: -11000101010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*n, 2 + 13 = m - 5*n. Suppose -5*p + 0*a = -3*a + 52, -4 = -2*p - m*a. Let l = -6 - p. Sort 1, -5, l in increasing order.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 35, 37?\n\"Answer: 2*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 2, c: 1, b: 4}. What is prob of sequence zbzl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 2, b: 1, o: 9}. Give prob of sequence oab.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -137.09435506 and -0.6?\nAnswer: 136.49435506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 78 = -0*s. Let h(g) = -62*g - 140. Let q be h(14). Let l = q - -1018. Calculate the remainder when s is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.31 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let r(b) be the second derivative of b**4\/12 - 22*b. Give p(r(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 - 2*x**3 + x**2 - 2*x**3 + 2*x**3 - 7*x - 6 + x**3. What is v(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 7*u - 7. Let h be k(-5). Let l be (-6 + 82\/(-5))\/(4\/(-30)). Let n = -153 + l. Solve -z - y = 2*z, n = h*z - 4*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7502*y + 965. Let d(r) = -2501*r + 351. Determine 4*c(l) - 11*d(l).\nAnswer: -2497*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) 1170361 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*y - 64*y - 264 = 0. Let m = 76 - y. Sort m, -3, 4.\nAnswer: -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*r - 27, 0 = -11*i - r - 0 - 39 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3956 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 6*d + 6. Give c(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(-3*k**2 + 2*k**2 + 2*k**2) + k - k - k**2 - 22*k**2 - 8*k + 50*k**2 - 27*k**2.\nAnswer: -2*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9384640 is divided by 100.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 0.2, 342?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -19*h + 1734025. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = -2*o, 7*i + 9 = 4*i. Solve 4*l = x + 3 - 22, 6 = -o*l - 2*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05346 + 2753.05346. Let n = j + -2755.157. What is n rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50654, 50694, 50760, 50852, 50970, 51114, 51284?\nAnswer: 51480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.1117 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40122\/11, -3\/5, 0.2?\nAnswer: -40122\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.577 + -16.5. Let l = -0.077 + n. Let w be 36\/48 + (-6)\/8. Sort l, w, -3\/4, 2\/7 in increasing order.\nAnswer: l, -3\/4, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 26*a - 1. Let l(q) = 78*q - 3. What is -6*l(y) + 17*p(y)?\nAnswer: -26*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 46. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10441 (base 5) to base 12\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3 + (-10)\/30. Let f be 1 - -1 - (-1 + z - 1). Put -63, -5, f in descending order.\nAnswer: f, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -574, -1040, -1632, -2356?\nAnswer: -3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3 + 7 + -4 + 2. Let g(j) be the second derivative of 0 + 1\/2*j**2 + 1\/12*j**4 - 5*j - 1\/3*j**o. Solve g(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -15*s - 292. Let d = -102 - s. Let b be (3 - d)\/2 + 4. Calculate the highest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 94 - d - 4 - 22 in the form o*d + v and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 18*b + 9*b + 12*b)*(0 - 1 + 0) to the form t*b + j and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((5*1*sqrt(143) - sqrt(143)) + 1*sqrt(143)*-6))\/((-1*sqrt(275)*-1 + sqrt(275))*5).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**4 + 0 - 7*g**4 + 0 + 3*g wrt g?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 1, t: 1, o: 3}. Give prob of picking 2 o and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 - 22*z**2 + 19*z + 27. Give b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:47 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1490 and -67025 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6182 = 2*x + 2*v, -v - 2461 = -x + 632. What are the prime factors of x?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63068918?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - d**2 + 2*d + 9. What is the lowest common multiple of p(0) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 136.88. Let y = h + -8.6. What is y rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -673 in decreasing order.\nAnswer: 1, -1, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:56 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/24)\/((1\/(-9))\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 73. Let m be (-131)\/(-524) + 289*1\/q. Is -13 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a. Let g(y) = -2*y**2 - 5*y. Suppose -3*n - 2 = -d - 4*n, d = 2*n + 14. Let s = 874 - 861. Calculate d*g(j) + s*o(j).\nAnswer: j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109017189781\/2051 + -53153186. Let v = k - 3\/293. Factor 4\/7 + 6\/7*r**2 + 8\/7*r**3 - v*r.\nAnswer: 2*(r - 1)*(r + 2)*(4*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*u + 4*u - 24, 5*a - 25 = 0. Suppose -u*r + 35 = 3*r. Solve m = 2 - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 - (3 - 19). Solve -c = 2*c - v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 165150 - 2?\nAnswer: 165146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3)*k)**(-1\/71)\/((k\/k**(-2))\/k**(-11)) assuming k is positive.\nAnswer: k**(-2980\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/22 (b) 5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6615693 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46836, 187196, 421122, 748608, 1169648, 1684236, 2292366?\nAnswer: 2994032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.19*13\nAnswer: 15.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 590665\/12 - 49233. Let x = 235999\/44 + -5363. What is the common denominator of y and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 6 = -12*x. Let d(i) = i**3 + 5*i**2 - 9*i - 16. Does 2 divide d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27154064 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 1, 5.2 in decreasing order.\nAnswer: 7, 5.2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0411 + 0.038. What is t rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = -5*n, -274 = 5*f + 3*n - 289. Solve 2*t + 10*o - 12*o = 6, -f*t - 7 = 5*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2. Let d(l) = 12*l. Calculate c(d(s)).\nAnswer: -432*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, 0.1, -26\/51?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -20. Suppose -a - 5*h - 2 = c, -3*a + 5*h = a - 67. Calculate the remainder when a is divided by (-1)\/((-3)\/15 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 1 (c) 10\/53 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.048 + -2.052. Let x = v - 2.9. Let u = -0.1 + 0.16. Which is the fourth smallest value? (a) u (b) -4 (c) 3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532996 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 3. Let o = q + -6. Let j = -0.38 + -0.12. What is the closest to j in -1, -3, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923119031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -71, -105?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 27*h**3.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/20748636 and 11\/43802676.\nAnswer: 394224084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44421 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8474 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 + 32*m**2 - 2736*m - 36288 = 0.\nAnswer: -18, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 35*v + 105 = 0, -k - 2191*v + 2195*v = -12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 98931332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -39*g**3 - g**2 - g. Is f(-2) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 - (-2 + -13 + 8 - (-19 - -20))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51705 is divided by 169?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -4. Suppose 3*f - 18 = m, m = 4*f - m - 24. Calculate the remainder when o is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1675.4275 to 0 decimal places.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-170) - (62\/10 - (-20 + 26)). Let p = -0.05 - -0.45. Suppose 5*o + 0*o = -5. What is the second biggest value in p, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -25*r + 30*r. Let h(t) = -t**2 - 3*t + 6. Let u be h(-5). Sort u, r, 1 in increasing order.\nAnswer: u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 - 20\/(-8)*132. What is the greatest common divisor of f and 1462?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f = -77*f. Suppose f = -4*w - 20 + 132. Suppose 3*u = 10*u - w. Solve 3*b - u*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453332 is divided by 729.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 332 and 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 43. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d**16*d)\/d*d)*(d\/(d*d**(9\/2)\/d*d))\/d assuming d is positive.\nAnswer: d**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 - 2 = 0. Suppose v*d + 6 = 0, -3*a + 27 = -4*d + 3. Solve -3*x = -5*x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, z: 10, f: 4, k: 1}. Give prob of picking 2 s.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:15 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8131675?\nAnswer: 5, 37, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10747257 by 6.\nAnswer: -3582419\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14979217 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -5*p + p. Let i = p - -26. Let q = i - -63. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35, -137, -311, -557, -875, -1265, -1727?\n\"Answer: -36*v**2 + 6*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 6*j - 5. Let q be f(-5). Let k = 2.5 - 3. Let r = k - -0.9. What is the nearest to 0 in -5, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(90\/1080).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 86918688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 + 4*u + 2. Let q = 362 + -363. Let j be b(q). Solve j + 19 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (195*n**3 - 87*n**3 + 2*n - 99*n**3)*(14 + 2*n - 20 + 30)*(1 + 1 - 1) to the form v*n**2 + q*n**4 + p*n**3 + o*n + b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002734905 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2 + 2*t + 5. Let s(y) = 5*y**2 + 7*y + 5. Let f(q) = q + 1. Let c(x) = 24*f(x) - 3*s(x). Let u(r) = -4*c(r) + 9*m(r). Factor u(o).\nAnswer: -3*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/79 (b) -2\/193 (c) -4 (d) 2 (e) 1\/2 (f) -3 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221220 and 1980.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -376 - 429. Solve o*x + 24*x - 236 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wawaaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46433*p**3*y**3 + 11*p**3*y + 2*p**2*y + 4006*p + 14*y**5 wrt y.\nAnswer: -278598*p**3*y + 280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 424881257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:48 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 28785365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/84948 and -11\/382266.\nAnswer: 764532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 13*c - 114 = -93*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5953933 millilitres in litres?\nAnswer: 0.0005953933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-8 - (73 - 84))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmdbdmmmmkfmmmmmmk. Give prob of sequence bmb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:24 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -41.61954\nAnswer: 83.23908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x - 2*x)*(7 - 2 - 27 - 9)*(-1 + 0 + 11 + (0 - 1 + 0)*(2 - 1 - 2)).\nAnswer: -682*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008893 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214333140 (base 5) in base 16?\nAnswer: -2c0c0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535510266 a multiple of 2214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)*d)\/d)**12*(d\/(d*d\/(d*d**11))*d*d)\/(d**(-5\/4)\/d*d) assuming d is positive.\nAnswer: d**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74\/3 + -25. Let y = 0.29815 + 0.00185. Sort u, y, 2, 1\/8.\nAnswer: u, 1\/8, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*a*f**2*q + 10*a*f**2 - 39*a*q + f**2 with respect to f.\nAnswer: 24*a*f*q + 20*a*f + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*r + 3*n + 5, 29 = r - n. Let m be (11\/1)\/((-1)\/(-114)). Let c be m\/21 + (-4)\/(-14). Calculate the highest common factor of c and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -3*h**2 + 1\/20*h**5 + 0*h**4 + 0*h**3 + 0*h + 0 + 0*h**7 + 0*h**6 + 1\/112*h**8. What is the third derivative of x(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 8, 26, 52, 86?\n\"Answer: 4*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -683 and 1456467.\nAnswer: 1455784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -642 and -0.34?\nAnswer: 218.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 - 4*l**3 + 4*l**2 + 13*l**2 + 2*l**4 + 3*l**3 as i*l**2 + q*l + g*l**3 + k*l**4 + n and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2797163 divided by 75599.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 155859?\nAnswer: 467577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*o, -5*h + 3*o - 4 = 4. Let w(d) = 141*d - 133*d - 1 - d**2 - 11*d. Give w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 - 2*z**2 - 46*z + 455. What is g(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722134 take away 34178?\nAnswer: -1756312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*t - 4 = -182*t. Let z(x) = -3*x**t + 3630*x - 3630*x. Let a(o) = -o. What is z(a(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -250. Let h = -6 - g. What is h rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 + 22 - -37) + 41.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21076?\nAnswer: 2, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - (-3 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1485.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -30 + (12 - -38).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/459 (b) -2 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1097 - -b?\nAnswer: 10a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/(1*-1*1\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 3151, 10835, 25807, 50497, 87335, 138751, 207175?\nAnswer: 295037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 9. What is the tens digit of q(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -98?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 1794 = -2*h + 4*c, 5*h + 3*c = 4485. What is the highest common divisor of h and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2778 + -1394. Let o = 3845 - u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**0*k*k)**(8\/7)\/(k*k\/k**(-5)*k*(k*(k\/(k*k**(-3)))\/k)\/k) assuming k is positive.\nAnswer: k**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7 - -5) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -74. Solve -3*g = 3*r - r - 2, -2*g = -k*r - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53291\/16 - 3329. Let i = -803 - -17755\/22. Find the common denominator of i and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5598, -5565, -5534, -5505, -5478, -5453, -5430?\n\"Answer: -h**2 + 36*h - 5633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 7. Suppose 10*b = 14*b + 24. What is w(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 1. Let l be (-16)\/12 + 10\/(-6). Let b(g) = g + 2. Calculate l*b(x) + 2*c(x).\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5365581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*f - 2*f + 12 = 0, -18*i + 48*f + 17 = 7 - 50 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, v: 3, q: 3, t: 3, y: 2, e: 3}. What is prob of sequence tqe?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**3\/6 + 13*y**2\/2 + 4*y - 6. Let u be 333\/27 + 2\/3. Calculate k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5983598 is divided by 956.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 3*b**5\/20 - 5*b**3\/3 - b**2 - 285. Let w(r) = 4*r**2 - 5. Determine 6*c(d) - 13*w(d).\nAnswer: 2*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 equal to -336\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**39)**(1\/3))**(22\/5))**47)**(-50) assuming x is positive.\nAnswer: x**(-134420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.26 and -7.41.\nAnswer: 164.9466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6*r*r**0\/r)\/((r\/(r*r*r*r**5))\/(r*r**(-1\/2)\/r)))\/((r\/r**4)\/r*r**(-3\/2))**(3\/4) assuming r is positive.\nAnswer: r**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 361992283 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 46*x**2 - 97*x - 54. Let z be u(-48). Is z > -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/277? (a) 7 (b) -0.3 (c) 1\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 405597 and -50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/20 - 2*h**4\/3 + 4*h**3\/3 - 7*h**2\/2 - 229*h - 1. Let c be b(7). Which is smaller: -8\/11 or c?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -863, -632, -401, -170, 61?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 + 8*s**4 - 12*s**3 - 16*s**2 + 16*s = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3638268 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -474, -1884, -4188, -7344, -11310?\n\"Answer: 7*i**3 - 489*i**2 + 8*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945746349.\nAnswer: 3, 307, 373, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 - 0.02\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o - 27. Suppose 6*x - 26 - 4 = 0. Let g be l(x). Solve 4 = -i - g*y, 5*y - 7 = 3*i + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/93, 2\/9, -26.9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + -2. Let r = q - -16. Let k = -1.89 + -0.11. Which is the third biggest value? (a) k (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ba + -24c?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2755 and 150499?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-7)*w)\/w**(-6\/11))\/(w**2)**4 assuming w is positive.\nAnswer: w**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.2. Let z = 9.83 + -9.93. Which is the closest to z? (a) k (b) -2\/15 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42374*d**4 + 19097*d**4 - 62384*d**4 - 58602*d**4 - 17646*d**4)*(-2*d + 4*d - d).\nAnswer: -161909*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35 (b) 100 (c) 0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.861, 8, 5 in decreasing order.\nAnswer: 9.861, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 - d - 1. What is the least common multiple of 20 and r(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 15. Let o(t) = t**3 - 5*t**2 - t + 2. Let j be o(d). Let h = j + 8. What is the least common multiple of 3 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -69836, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 44 = 5*j - 9*j, -j = 3*c - 13. Let x(s) = -14*s + 89. Let h be x(c). Solve l = 4*t + 19, -t = 3*l - h*t - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zylyluyuhlihhly. What is prob of sequence uul?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 40. Let n be p(-6). Let g(y) = 11*y - 5. Let m be g(n). Let x = m + -13. Solve -3*c = -2*w + 4, -x*c - 6 = w - 3*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {v: 1, s: 7, m: 5}.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 17*n + 149. Let i be (-76)\/6 - 4\/12. Let w be p(i). What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 8, -1\/3, 7\/170, 2\/19.\nAnswer: -1, -1\/3, 7\/170, 2\/19, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let v(o) = 14217*o. Give x(v(b)).\nAnswer: -14217*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r - 50. Let c be l(-15). Let k = c + -33. What is the remainder when 153 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1)*p*p)**(-20)*(p\/p**(-3)*p*p)**(-6) assuming p is positive.\nAnswer: p**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 divided by 277?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*l + 5 = 0, 4*f = l + 1 - 14. Let r be 1\/(30\/9 + f). Solve 5 = r*i + 4*a, -3*i - 5 = -4*i - 3*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1470199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/2 - 17*l**3\/3 - 9*l**2\/2 - 9*l + 5. Let f(g) = g**3 - 8*g**2 - 4*g - 4. Determine 9*f(q) - 4*n(q).\nAnswer: q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*z**4 + 18*z**4 + 8*z**4 + 7*z**2 wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-4)\/30)\/((56\/(-49))\/((-66)\/(-2233))).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 0)*(2 + -1) - -2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13911421836 and -2.\nAnswer: 13911421834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 23010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-7) - -2) + (-20)\/(-385).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 2 + 0 + 1. List the prime factors of w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 7:58 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12*r**2 - 4*r + 68. Calculate the remainder when j(7) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 89 - 133)*(-4 + 4 - 2*j).\nAnswer: 318*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -44. Solve -c + 21 = 5*q, -4*q = -r*c + c - 32 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 55. Suppose j + 1 = 3*k - 0, -2*j - 6 = -4*k. Let l = 12 + j. What is the greatest common factor of c and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1162\/5527053)\/((-2)\/(-63))?\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - 32*z**2 + 37*z + 559. What are the prime factors of l(-20)?\nAnswer: 41, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(1 - 1 - 2) - 1 + 5 + 5)*((2*g + 0*g - 3*g)*(-2*g**3 - 3*g**3 + 7*g**3) + g**4 - 2*g**4 + 2*g**4).\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (416\/78)\/((-8)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (108\/30)\/((-6)\/(-20)). Let g be q\/105*10\/(-4). Let t = -4\/7 - g. What is the biggest value in 5, t, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (104\/26)\/(0 + 1). Solve -x = o*p - 0*x + 13, -10 = 2*p + 4*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 - 21*y + 6. Let u be f(6). Sort -2\/7, u, 5 in ascending order.\nAnswer: u, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2, o: 3, g: 4}. Give prob of picking 2 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l - 201. What is v(-23)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*i - 174, 50 = -2*k + 3*k - i. Suppose 3*z + k = 48. What is the units digit of 363\/9 - (32\/(-12) - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z**2 - 35*z - 29. Let n be c(11). What is the greatest common divisor of 150 and n?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 578304 + 60518 - 11420 = 0. What are the prime factors of l?\nAnswer: 3, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 41926*d + 377426. What is k(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10781*y**4 + 29204 wrt y?\nAnswer: 43124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.1614261 to 3 decimal places.\nAnswer: 160.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/4536 - 2372\/(-54).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6581900509?\nAnswer: 6581900509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 + -5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) 2\/11 (c) -2\/11 (d) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6526 divided by 251?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(77)\/(5*sqrt(11))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5980 and 3680?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + h, 4*a - 2*h - 5 = 13. Let i(f) = -f + 8. Calculate the remainder when i(0) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 - 58204*l**3 - 349080*l**2 = 0. What is l?\nAnswer: -14545, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:17 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(33) - ((-2*sqrt(4752) - sqrt(4752)) + sqrt(33))))\/(sqrt(44)*-4 + (sqrt(396)*2 - sqrt(396)) + sqrt(11)).\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*s + 20, -s - 3*a = -2*a + 5. Suppose -r - 4*f - 4 = s, 0*f = -4*f - 4. Solve r = z + 5 - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1114 and 39\/210256.\nAnswer: 117112592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45014169 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112426149*m**2 + 133830258*m.\nAnswer: 224852298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(750) - 1*sqrt(750))\/(sqrt(640) - 2*sqrt(640)) - 6*-1*sqrt(3)*4*6))**2.\nAnswer: 288*sqrt(3) + 62209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -0*f - 15*w + 13*w - 25, 0 = 5*f + 8*w - 5 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/2737)\/(55\/((-30800)\/32))?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-two fifths of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -36. Suppose r*y + 2*y - 8 = 0. Let i(a) = 5*a**3 - 2*a + 1. Calculate the smallest common multiple of i(y) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 divided by -6?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5693*o**2 - 599871 + 599871 to c*o + p*o**2 + b and give p.\nAnswer: -5693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 - 184. Suppose i = -3*p + 15, -199 = -4*d + 3*p + 2*p. What is the remainder when 111 is divided by d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 222.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 788\/20 - 4\/10. Suppose i = 3*o - 57. Let y = 3 + 1. Solve -4*l - o = -4*s, -5*s = -l + y - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/3)*o\/(o*o*o**6)*o*((o**1*o)\/o)\/o*o\/(o\/(o**10\/o*o*o*o*o*o))*o assuming o is positive.\nAnswer: o**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -42*z**2 + 5972*z + 146. Determine w(142).\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*i - 291. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154.623*-6.\nAnswer: 927.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + s + 0*s + (-1 + 3 - 3)*(s - 1 + 1) - 2*s + 4*s + 0*s - 341*s - 1457*s - 1827*s + 42*s.\nAnswer: -3581*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 0. Let p = 5 + x. Let z = -1.09 - -0.09. What is the nearest to 0.1 in p, 1, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 11*w**2 - 10*w - 1. Let m be f(10). Let s(r) = -r**2 - r. Let d be s(m). Suppose 0 = -a - d*a + 20. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -374, -598, -840, -1100, -1378?\nAnswer: -1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 833 by 2.\nAnswer: 833\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:10 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/45 + (-89)\/(-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245792\/19 or 12935?\nAnswer: 12935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 28 = 14*t. Calculate the remainder when 109 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let g(u) = -u + 2. Let v(c) = -268*c + 268. Let t(n) = -134*g(n) + v(n). Give k(t(p)).\nAnswer: 17956*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2*v**3 + 6*n**2*v**2 + 7*n**2*v + n**2 + n*v**5 - 1609*n*v**3 + 7*v wrt v.\nAnswer: 12*n**2 + 60*n*v**2 - 9654*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-576)\/(-240))\/(14\/(-5)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 254.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -26\/7, 2\/7, -5, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 14094 - 5506 = 0. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h - 6. Let k be b(2). Let w = k - -12. Calculate the lowest common multiple of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-258)\/(-5) - 4\/(-10). Let s = u + -26. What is the lowest common multiple of 7 and -5*(-4 + s\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 292 - 497 = 36*p, 28918 - 28851 = -h - 3*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - -39. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76379066, -152758132, -229137198, -305516264, -381895330?\nAnswer: -458274396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/28812 and 51\/9947.\nAnswer: 835548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13766765 and 10145.\nAnswer: 13766765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-30) + (-6)\/15. Suppose -9*u + 7*u = -896. Let d be 12\/14*u\/288. Which is the second biggest value? (a) 1\/11 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {v: 7, b: 1, i: 2, l: 3, a: 3, y: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 338 - 327. Let w(y) = -q + 14 - 7 - 5*y**2 + 28*y - 30*y. Let m(j) = 9*j**2 + 3*j + 8. What is -3*m(u) - 5*w(u)?\nAnswer: -2*u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7*b - 12*b + 4 + 1 - 2 - 32*b.\nAnswer: -37*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*w + 15912 = -20785 + 7696 - 525 for w.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 16) in base 2?\nAnswer: 101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2) + (-18)\/(-12). Suppose 0 = -r*l - 38 + 518. Suppose c - l = -c. Round c to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*d**3 - 16 + 1\/4*d**2 + 16*d = 0. What is d?\nAnswer: -8, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 100419b?\nAnswer: 10041b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102926754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265959 - 265953 - 9*o + 531915.\nAnswer: -9*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q + 192 = 0. Suppose -7*z + 9 = -q. Let c be (90\/12)\/(1\/4). Calculate the greatest common factor of z and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/(-7))\/(2\/(-7)). Let r(c) = 8*c - 27. What is the hundreds digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 514\/6)\/(1\/3). Suppose o = -m + g, -3*o - 1013 = -2*m - 2*m. List the prime factors of m.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.5. Which is the nearest to 3? (a) x (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/60 - k**5\/60 + k**4\/3 + k**3 - 2*k**2. Let a = 10 + -15. Is t(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*a - 1042*a = -250 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 bigger than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-12) - (-3)\/(-6). What is the nearest to 1 in -0.2, r, -0.24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*-1 - sqrt(144))\/sqrt(3))\/sqrt(6))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -943*l**4 - 6*l**2 + 1196. Let g(k) = -2828*k**4 - 17*k**2 + 3590. Let m(f) = -6*g(f) + 17*p(f). What is the first derivative of m(y) wrt y?\nAnswer: 3748*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v + 1. Let q(g) = g**2 + 1. Let t(i) = 2*f(i) - 3*q(i). Let w be -2 + 0 + 0 - -4. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 77 = 2*f, 149*s - 145*s - 101 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/5))**(1\/14)\/(n**(7\/3)\/(((n*n*n**7\/n*n*n)\/n*n)\/n)))**(2\/13) assuming n is positive.\nAnswer: n**(1409\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 + 92 + 100*(10\/(-4) - -3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a factor of 1003289914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11162, -3\/8, 482\/13 in descending order.\nAnswer: 11162, 482\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 12*q**2 + 2*q - 19. Calculate a(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.052, 3, -2\/9, -2, -127?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - n - 8. Suppose -f - n = -3. Let t = 1\/143 + -589\/2431. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6413 and 323247?\nAnswer: 39112887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/9)*(j\/j**(1\/10))\/j)**26)**(2\/17) assuming j is positive.\nAnswer: j**(4186\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.718 times 3.042?\nAnswer: -5.226156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - 0) + (-4 + 4)\/3. Let y(p) = -4*p**3 - 2*p**2 + 21*p + 16. What is the hundreds digit of y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17219*j*m**3 - 7*j - 4*m**3 - 263645*m**2 wrt m?\nAnswer: 103314*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 422113, -0.06, 2?\nAnswer: 422113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/20 - (-3)\/(-5). Suppose -2*w + 13 = 3*n - a, n - 2 = 0. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2774*o - 5796. Let c(z) = 4153*z - 8694. Let l(p) = 5*c(p) - 7*j(p). Differentiate l(x) wrt x.\nAnswer: 1347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5 and 9\/2105.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -31*q + 14299. Let l(u) = 12*u - 7152. Determine 5*l(x) + 2*p(x).\nAnswer: -2*x - 7162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/((-11)\/66).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313 is divided by 2310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17180\/(5 - (-1255)\/(-250)). What is w rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -47) + (-12 - -16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 3*s - 35 = -39*v, 4*v = -5*s + 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 210. Suppose 2*h = g + 20. What is h rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/12 + (-19)\/(-7). Put o, 3, -2\/37, -3 in descending order.\nAnswer: 3, -2\/37, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/7 + 163*d**3\/7 - 851*d**2\/7 - 14683*d\/7 + 62172\/7 = 0.\nAnswer: -9, 4, 11, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-5*(-15)\/1625). Let z(s) = -266 - 55*s**3 - 345 + 546 + 65*s**2. Let a(y) = 5*y**3 - 6*y**2 + 6. Calculate l*a(i) + 6*z(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 82. Let r be 1321\/(-195) - -3 - q\/(-2). Let m = r - 1\/39. Which is the third biggest value? (a) -3 (b) -0.3 (c) 3\/5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404268 and 1754112.\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -98*g**3 - 5*g**2 - 42*g - 25. What are the prime factors of d(-5)?\nAnswer: 2, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45141.\nAnswer: 3, 41, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 77*z**2 - z - 3. Let a be n(2). Suppose 3*x + 0*u = -u + 311, -3*x + a = 3*u. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -69\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4979465548.\nAnswer: 2, 1244866387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - 1. Let t(d) = -6 + 5*d**2 + 3 - 2 + 0. Calculate 5*m(o) - t(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539677.\nAnswer: 31, 49667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -238, -821, -1962, -3847, -6662, -10593?\nAnswer: -15826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13258461 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40752)\/270 + (-64)\/96. Is -153 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379 is divided by 1903?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112789 and 734053?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 127987268248+-0.1\nAnswer: 127987268247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13335*-17.62\nAnswer: -234962.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 24*h - 4*l - 9762, 0 = 2*l - 4. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**0*q)\/q)**(-23))**(-16\/3))**34 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 10 = -l, -12 = -k - 4*l + 2. Let r(p) = -6*p. Let b(j) = 5*j - 1. Determine k*r(z) - 3*b(z).\nAnswer: -3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020022 - -221112101?\nAnswer: 220022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*p + 11*p. Let f be 28799994\/(-9) + (20\/p)\/(-5). Round f to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/6)\/(-80))\/((-4)\/8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by 155.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1642939 - -11523804\/7. Let t = f + -3312. Calculate the common denominator of 77\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:22 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 11, w: 9}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 2\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:10 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**4\/11 + 824*g**3\/11 - 5748*g**2\/11 + 11160*g\/11 - 4806\/11 = 0. Calculate g.\nAnswer: -89, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -8*a**2 - 12*a - 9. List the prime factors of s(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 16, -145, 10, 2, 4 in decreasing order.\nAnswer: 16, 10, 7, 4, 2, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**2\/2 + 3. Let c = 6 - 7. Let o(g) = -g**3 + 2*g**2 - 7*g. Give c*o(k) + 5*w(k).\nAnswer: k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -3*h - 5\/6*h**3 + 0*h**2 - 5\/12*h**4 + 0. Factor a(k).\nAnswer: -5*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 + 26*p**3 + 13*p**3.\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 26. Let y(t) = -2*t + 9. Let g be y(6). What is the tens digit of q - (1 + g + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - 5) + 29 + 6 + -9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:07 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*2)\/sqrt(6) - sqrt(14))\/sqrt(7) + 1)**2*2.\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*g - 1\/3 - 2\/3*g**4 + g**2 - 1\/3*g**3 = 0. Calculate g.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - 1 - (22 + (-45 - (-38 + 21))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*t + 17485404, -3*o + 10*t = 14*t + 26228096. What is o rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let r(o) = -o. Let w(x) = i(x) - 5*r(x). Let k(a) = a**3 - 3*a**2 + 3. Let c be k(3). Let t(h) = c*h + 4*h - 5*h. What is t(w(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2094, 1071, 48?\n\"Answer: -1023*x + 3117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -910, -978, -1068, -1192, -1362, -1590, -1888?\n\"Answer: -2*o**3 + o**2 - 57*o - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314\/45 + -36\/5. Let n = -251 - -3261\/13. Sort 0.2, 2, b, n in decreasing order.\nAnswer: 2, 0.2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(((-10)\/(-12))\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 2}. What is prob of sequence puu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 69*i - 3514. Let s be q(51). Let f(w) be the third derivative of w**2 + 0*w + 0*w**3 + 0 + 0*w**4 - 1\/12*w**s. Let z(m) = m. Calculate z(f(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*s - 4, 3*s = -2*o - 2*s + 14. Suppose 4*n = o*n - 16. Let d = -5 - n. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 2*h + 5. Suppose -62*z + 70*z - 32 = 0. Suppose -4 = -0*o - z*o - 2*s, 4*o - 8 = -s. Give l(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04132 + 0.5?\nAnswer: 0.54132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(13)) - (sqrt(117) + (sqrt(117) + -1*sqrt(117) - sqrt(117)))\/sqrt(9))**2 + (sqrt(65) - 5*(-4*sqrt(65) - sqrt(65)))\/sqrt(5).\nAnswer: 26*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34*630\/255 + -48?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -266 from 443592.3217254.\nAnswer: 443858.3217254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 1 + 86 + 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (0 - -7) - (-3 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3053 (base 8) to base 9\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 869 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11101324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -153, -127, -103, -81, -61?\n\"Answer: -w**2 + 31*w - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87817505 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-192))\/((-18)\/1566).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 9*v + 2. List the prime factors of a(-7).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*y + 141*y + 142*y - 558*y + 136*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5642135 is divided by 648.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/6? (a) 2 (b) 0 (c) 1\/2 (d) 1 (e) 1487\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 165\/35 + (-4)\/(-14). Suppose -7*u + 10 = -h*u. Suppose 135 = u*r + 5*j, 2 + 2 = 2*j. Calculate the greatest common factor of 200 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 32521 = 2*g - 59607, 46052 = g + 5*b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*w**2 - 3613201*r*w - 2*r - 113317148*w**2 wrt r.\nAnswer: 2*w**2 - 3613201*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x**3 + 18 + 0*x - 19 + x to m + o*x**3 + c*x + w*x**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205912599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/9 - 143524*l\/9 + 95680\/3 = 0.\nAnswer: 2, 71760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1100212?\nAnswer: 1100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -136?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o**(-6))))*o*o*o**(3\/2)*o*o)**(2\/75)*(o**(1\/3)\/o)**(2\/35)\/(o**(2\/5)*o**(-3)\/o) assuming o is positive.\nAnswer: o**(677\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 215*l.\nAnswer: -5*l*(l + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134 - -143. Solve l + 8*l = -a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046 * -5.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7009*p**3 + 4*p**2 - 4*p + 40. Let h(m) = -5726354*m**3 - 3269*m**2 + 3269*m - 32690. Determine 4*h(s) + 3269*o(s).\nAnswer: 7005*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 6 - 6 + (-2*g - 4*g + 4*g)*(-3*g + 0 + 0) + 72*g - 17*g**2 - 1 - 72*g.\nAnswer: -16*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let q(p) = 777886*p. Calculate d(q(g)).\nAnswer: 1555772*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*y + 140*y + 192*y - 15050 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6346002 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.383882 centuries in millennia?\nAnswer: 0.9383882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 13) to base 2\nAnswer: 1000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -62. Let t(z) = 4*z - z - 3 + s + 55*z**2 + 2*z. Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 16 = 2*q, 4*l = -5*q + 3*l + 14. Suppose h + h = q. Suppose -13*y + 11*y = 0. Sort h, -5, y in decreasing order.\nAnswer: h, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - 0.57. What is the nearest to 1\/3 in 3\/7, v, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/3 - 316*n**3 - 87756*n**2 - 5807232*n = 0.\nAnswer: -426, -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = o - 2 + 16, 4*o + 2 = -2*f. What is the third derivative of -1380*d - o + 1380*d + 0 + 3*d**2 + 194*d**4 wrt d?\nAnswer: 4656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1. Let p(q) = q - 14. Let i(a) = p(a) - 3*y(a). Let z be i(16). Let x(w) = w. Give x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/15 - 22*k**4\/15 + 38*k**3\/15 - 6*k**2\/5.\nAnswer: 2*k**2*(k - 9)*(k - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)\/(l\/l**6))**(3\/13) assuming l is positive.\nAnswer: l**(201\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-3)\/((-6)\/(-2)). Let z = b + 5. Factor 3*j + z - 2*j - 5*j + j**2.\nAnswer: (j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, 0.4, -3, 2, -1 in increasing order.\nAnswer: -18, -3, -1, 0, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9700 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 + d - 5. Let u be g(8). Let y = u - 5. Sort 3, -1, y.\nAnswer: y, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -z - 0*z - 4*c, 2*z + 3*c = -57 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 101, 103, 105, 107, 109?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 3*p + 1 - p + 0*p**2. Let d = -3206 + 3208. What is s(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807 = -s + 5824. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n - 6. Let x be v(-5). Calculate the greatest common divisor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r = 5, -4*f + 2*r + 270 = 0. Let o = 199\/3 - f. Let c = 65.7 + -62.7. Sort -1\/3, o, c in increasing order.\nAnswer: o, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 3\/((-3)\/5). Let j be (-2)\/c + (-7)\/((-70)\/54). Suppose 0 = -6*u + 44 + 88. Solve -24 = 4*z + 4*t, 3*t - 2*t = -j*z - u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 3, l: 2, y: 2, j: 6}. What is prob of sequence zl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 3*a**2 + 2*a**2)*(a - 2*a + 0*a)*(5 - 2 - 2 + (2 + 1 - 6)*(-2 - 3 + 3)).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 135*x**2\/2 - 1494. Let b(z) = -6*z**2. Give f(b(l)).\nAnswer: -810*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.048762 and 149.\nAnswer: 149.048762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:59 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 251806576 and 251806576 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 + 3*a - 2. Let d be m(2). Suppose 5*k - 38 - 12 = d. Let w(g) = 4*g - 13. What is the units digit of w(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8*s**2 + 19*s - 26. What is x(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(1\/5)*o\/(o**(-11\/5)*o)*o**(2\/7)\/(o**(2\/17)\/o) assuming o is positive.\nAnswer: o**(2718\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50, 48, 46, 44?\n\"Answer: -2*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 1, 2210, -43 in increasing order.\nAnswer: -43, 1, 3, 11, 2210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10 - 9 + 2*a - 7. Let x be o(9). Calculate the greatest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffmxfni. What is prob of picking 2 f and 1 m?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 28, 49, 88, 151, 244, 373, 544?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2. Let c(d) = 27*d**2 + 2. Give l(c(o)).\nAnswer: 2916*o**4 + 432*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 74. Suppose -7*u = -l*u - 15. Solve 0 = k - 0 - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16\/23 - -71\/69. What is the nearest to s in 57, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51485822 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**2 - 3 + 4 + 0 wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765260905?\nAnswer: 3, 5, 11, 23, 728659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17675 take away -5?\nAnswer: 17680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j + j + 0*j)*(1 - 3 - 1) - 6*j + 3*j + j)*(0*j + 0*j + 2*j).\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 - 4*b + 7. List the prime factors of h(3).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let z be 2\/(-11) + 1\/66. Let j be 0 - 11\/(-25 - -3). Which is the closest to j? (a) 2\/17 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2)\/120*58. Let v(c) be the third derivative of 0 - 1\/40*c**6 + 0*c**4 - l*c**5 + 0*c + 3*c**2 + 0*c**3. Find the third derivative of v(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867453029.\nAnswer: 3, 13, 113, 197, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 366556516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w*w**11)\/(w*w**(-3\/7)*w**12))**(-4\/29) assuming w is positive.\nAnswer: w**(16\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 5*j**2 + 9*j)*(-2 + 1 + 0)*(3 + 1 - 1).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c - 49*c - 17*c - 17*c. Let u(b) = -2*b. What is u(z(g))?\nAnswer: 142*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 653720.9338 rounded to the nearest ten?\nAnswer: 653720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 54.21714?\nAnswer: 10.843428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 434360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -33, -128, -333, -690, -1241?\n\"Answer: -7*f**3 + 8*f**2 - 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -234, -239, -246?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -0.14, 2\/27, 1.5 in descending order.\nAnswer: 1.5, 0.3, 2\/27, 0, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 90 = -18*m, -12*m + 4*j = -18*m - 12 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.41 or -4023?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 3*z - 4 + 5. Let n(r) = -r + 2. Calculate -5*b(w) + 3*n(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-34) - 75\/(-85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -667 by 6.\nAnswer: -667\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248 + -98. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107698 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h**4 - 17852*h**3 + 155040*h**2 - 381888*h + 190976 = 0. What is h?\nAnswer: -2984, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 + 3*b + 17. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:22 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*s + 120*s + 306 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 361 - 245. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 34*d - 344. Suppose 5*c - 180 = 3*t, 5*c - 175 = t + t. What is the least common multiple of w(11) and c?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 22112?\nAnswer: -22104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -14, -2, 18, 46, 82?\n\"Answer: 4*a**2 - 8*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z - 69*z = 19*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.285 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.06, 3, -0.8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2716 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 2*h**2 - h + 2. Let f be j(2). Solve -4*c - 2*p + 4 = -2*c, f = 5*c - 5*p + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let b = w - -3. What are the prime factors of 45\/6 - 1\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 0 + 3\/4*x**2 - 3\/4*x**3 + 3\/2*x = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/38469 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 30*v**4 + 75*v**3 = 0. What is v?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/174*(-8)\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10450, -10446, -10440, -10432, -10422?\n\"Answer: r**2 + r - 10452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 1. Let v be z(5). Suppose -15*w - 26 = -30*w + 4. Let x(f) = 21*f**2 + 4. Let r(p) = 5*p**2 + 1. Calculate v*r(s) + w*x(s).\nAnswer: -3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 times 19591185?\nAnswer: -450597.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 12*f - 10. Let v be h(9). Is 14 a factor of v\/3 + (-4)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102640 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3469*h + 8070*h - 11151*h + 9758*h to p + l*h and give l.\nAnswer: 10146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 470*j - 9. Let w(m) = -3*m**2 - 482*m - 8. What is -6*q(v) + 7*w(v)?\nAnswer: -3*v**2 - 554*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1054200255 (base 6) to base 10.\nAnswer: -11679659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 375330 at most 375332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0.5, 161 in descending order.\nAnswer: 161, 1, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 4*f + 2. Let q be p(-5). Let k = 22\/3 - q. Factor -1\/3*j**2 + 2\/3*j - k.\nAnswer: -(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-2)\/((-192)\/206). Let n = u - -3\/16. Suppose -4\/3 - 4\/3*x - n*x**2 = 0. What is x?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 5845 (c) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 2*d**2 + 0*d**3 + 0*d + 0 + 1\/12*d**4. Let h(p) = 3*p. Give n(h(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-1)\/(-7) + 4587\/973. Solve -4*d + 5 = -9*d + 5*i, 3 = n*d + 3*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91601968 and 0.007498.\nAnswer: 91601968.007498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((-3)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -183048*x + 183050*x - 48, 0 = s - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(5\/6))\/(b\/(b\/(b\/b**10)))*(((b*b\/(b*b\/(b*b**(-1\/2)*b)*b*b))\/b)\/b)**(-1\/26) assuming b is positive.\nAnswer: b**(1445\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**2 - 514*u + 56. Calculate the remainder when 228 is divided by v(-57).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 17. Suppose 3*b = 3*d - 35 - 7, 31 = 2*d - 3*b. Suppose -9 = d*n - 14*n. Let j(t) = -3*t + n*t + 0*t - 2*t. Determine j(c(q)).\nAnswer: 2*q + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1120 - -636426?\nAnswer: 640546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 11*u**8\/840 - u**6\/720 + u**4\/4 + 7*u**2. Let a(k) be the second derivative of r(k). Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = -4*r - 43 + 221, 110 = -2*r + 7*r - 0*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 0.03.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-70593575691\nAnswer: -70593575690.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -252042052?\nAnswer: -252042035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/(-90))\/(2 - (-13)\/(-6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659793.\nAnswer: 3, 219931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-5)*12\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/18 + 2\/(-3) and -25\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - (-2)\/(-4))*348\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 4932?\nAnswer: 24660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 18. Suppose -575 = q - x*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m**2 + 15*m = 0 for m.\nAnswer: -15\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 19402176.\nAnswer: -19402176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and -1*2 + 86 - (-20)\/(-10).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 224669, 449406, 674143, 898880, 1123617, 1348354?\n\"Answer: 224737*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3021 = 21*g - 3405. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7099943, -7099942, -7099941, -7099940?\nAnswer: -7099939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.8 and -0.064013517?\nAnswer: 2.864013517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104610906*m**2 + 5*m - 5*m + 104610909*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -27, -2\/7, -158?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -39.9. What is the second biggest value in 2\/7, o, 3, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46827 + 151798. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 4*i. Let w = -13944 + 14058. Calculate the remainder when w is divided by p(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 711*((-135)\/(-125) - 6\/75). Suppose 5*r - 3565 = -5*m, -31*m = -r - 33*m + f. What are the prime factors of r?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 546 + -324104?\nAnswer: -323336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 189510857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -16, 4 in ascending order.\nAnswer: -16, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/4*(-2)\/(-4). What is the units digit of f - (2 + -1 + -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:40 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/1)\/((1030\/(-1648))\/((-3)\/(12\/1)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -34*o**3 - 28*o + 10. Let r(k) = 11*k**3 + 9*k - 3. Let l(g) = 6*f(g) + 20*r(g). Find the second derivative of l(n) wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 47*s**2 + 49*s + 67. Let j be v(-48). Let p be (j + 156\/13)*(-2)\/(-3). Is p bigger than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15469*i - 15491*i = 264 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1807 by 13.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*t + 4*m, -m + 10 + 75 = 4*t. Let p = -614 + 369. Let x = p + 465. Calculate the highest common divisor of x and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 = -2*v, -61 = -3*h - 2*v - 15. Suppose -h*w - 5 = -19*w. Let g(l) = 105*l - 1. What is the remainder when g(w) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-9)\/4*(-42)\/(-147)*7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 + 2*v**2 + 2*v + 33. Let i(b) = -120*b**3 - 35*b**2 - 35*b - 560. Let d(y) = 2*i(y) + 35*t(y). What is the derivative of d(k) wrt k?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*m**4 - 41*m**3 - 2236*m**2 - 10*m - 450828?\nAnswer: 348*m**2 - 246*m - 4472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153025 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10896 - -11090. What is the remainder when 486 is divided by s?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 36 = -q, -5*m - 6*q = -q - 30. Find the first derivative of -19*g**2 + 31 + 19 + m*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztttttgtt. Give prob of picking 2 t.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 2*b**4 - b**4 + (-2 + 2 - 7)*(0*b**2 + 2*b**4 + 0*b**2).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*w = 5, v + 5*w = -v + 15. Calculate the remainder when 2*-1*(-76)\/8 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4447?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 20. Let z be s(-10). Let v be z\/25 + (-26)\/(-10). Solve -v*u = 3*a - 1 + 7, 0 = a - 5*u - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 425*g**3*j - 26*g**3 + 298*g**2*j - 14*g*j - 106420*g - j - 9 wrt g?\nAnswer: 2550*g*j - 156*g + 596*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*q**3 + 87*q**2 - 29*q - 122442668.\nAnswer: 138*q**2 + 174*q - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -4.6, 2\/1625, -0.08?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7474 and 20276?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22606771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -351*n + 260500 - 924241. Which is smaller: n or -1889?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 7*h - 12. Suppose -j + 2 = -5. Suppose j*n = 3*n + 64. Calculate the least common multiple of h and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(3*(sqrt(275) + 0) + 5)*-3)**2.\nAnswer: 24300*sqrt(11) + 405000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11063 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - x - 135 = 0, -6*p = -p - 3*x - 221. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330\/(-132)*(-12)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 - 29*m**2 + 8*m - 1904. Let y(h) = 2*h**3 - 11*h**2 + 3*h - 634. Determine 3*g(v) - 8*y(v).\nAnswer: 2*v**3 + v**2 - 640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 - 1000*z**2 - 839*z + 112. What is g(-142)?\nAnswer: -1734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -7a?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(288) + -1 + sqrt(288))**2 + (sqrt(288) + 1)*-6 + 3.\nAnswer: -120*sqrt(2) + 1151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 42. Let i = 6 + 1. Let y be (-6)\/o + 26\/i. Solve 8 = -5*t + y*s - 7, 5*s = 2*t + 23 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Let l = 2 + p. Suppose -l*h - 20 = 0, -4*h = 5*k - 169 - 201. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hbhzvhczaahzhac?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -2415053?\nAnswer: -2415054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2462*h**5\/5 + 57965326*h**4\/15 - 37947943136*h**3\/5 + 454649205904*h**2\/15 - 151441723424*h\/5 - 123056672\/15 = 0.\nAnswer: -1\/3693, 2, 3922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 9. Let o be p(4). Let b = o - 7. What is the closest to b in -0.2, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -743? (a) -42 (b) -3 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3\/4 (b) 6 (c) -14\/3 (d) -0.17 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:10 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - k**2 + 5*k. Let n(t) = 3. Let f(h) = -h - 3. Let w(u) = 3*f(u) + 3*n(u). Give w(s(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 18 = v, -3*o - 3*v = 45 - 51. Let y(l) be the first derivative of -16*l + 1\/16*l**o - l**3 + 13 + 6*l**2. Suppose y(x) = 0. Calculate x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:57 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3 + 8 + 5 - 3 + 163*r.\nAnswer: 163*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or -5\/1827?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -127*t**2 - 22 + 21 + 3*t - 124*t**2 + 242*t**2. Let y(k) = 27*k**2 - 8*k + 2. What is -8*d(j) - 3*y(j)?\nAnswer: -9*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10394, -2910, 0.1 in decreasing order.\nAnswer: 0.1, -2910, -10394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2, 1446, -14 in increasing order.\nAnswer: -14, -4, -2, -1, 1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -735.73 + 736. Which is the fourth smallest value? (a) 4\/3 (b) -2\/3 (c) -8 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -24*c - 7. Let w(u) = -23*u - 6. Suppose 29*o - 13 + 28 = 160. Calculate o*w(l) - 4*m(l).\nAnswer: -19*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m + 3*m + 15*m - 3*m - 20 - 7*m. What is g(-6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 8, -17, -30, -19, 28, 123, 278?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1955, -9, 30 in decreasing order.\nAnswer: 30, -9, -1955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50\/81 - -4\/81. Sort 1\/3, 2, h in decreasing order.\nAnswer: 2, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c4ab (base 13) to base 5.\nAnswer: 1332211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 6 = -v, 674*v - 646*v = 3*m - 62 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (350\/10)\/5 + 283\/(-404)*10. Suppose 3 = 5*s - 2. Are y and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/397717646 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/3*-363*24\/(-40)*-235.\nAnswer: 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 32 = -5*w, -8*j + 797*w = 5*j + 792*w - 66 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 + 3*b + 6. Let p(q) = 8*q**2 - 7*q - 14. Let l(z) = 3*p(z) + 7*r(z). Let c(i) = -388*i. Calculate l(c(t)).\nAnswer: -602176*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - 340*i**2 - 85*i - 7420. Calculate v(-85).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + 386\/6. Let s = 64 - n. Suppose s = -3*o + 23 + 274. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8. Let w(x) = x**2 - 5*x + 5. Let h be w(5). Suppose 4*j - 21 = -z, 0 = h*j - 3*z - 6 - 33. What is the remainder when q(j) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -9*x**4\/4 - 10*x**3\/3 - 5. Find the third derivative of v(h) wrt h.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34708 is divided by 1984?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563 is divided by 582.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102870853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 52183 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.507 + -2.107. Sort b, 0.1, -348 in decreasing order.\nAnswer: b, 0.1, -348","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26788*f**4 - 371*f**3 - 13999601*f**2 wrt f.\nAnswer: -642912*f - 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11421 (base 10) in base 2?\nAnswer: -10110010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/(-1893)*39\/(-104)*2 and -101\/8.\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 26*a - 187. Determine k(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 0.5. Let l = -0.212 - 0.788. Sort l, 0.5, g, 0 in decreasing order.\nAnswer: 0.5, 0, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) -0.4 (c) 1 (d) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29281?\nAnswer: 7, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*x = -162*x - 240 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.4*-43241.4.\nAnswer: 276744.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -680.725?\nAnswer: 4084.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + 26. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410977 plus -4?\nAnswer: 410973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 3 - m - 3)*(55*m + 46*m + 41*m).\nAnswer: -284*m**3 - 142*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 7*l + 9. Suppose 3*y - 3 + 9 = 0. Let f be 7 - y - 1*2. Give v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, m: 1, f: 3, d: 7, v: 1}. Give prob of sequence ooo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 2843590.\nAnswer: -3\/167270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*q + 4*q. Let w = -4 - q. Calculate the smallest common multiple of 3 and (-15)\/(-2)*2\/w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1318794\nAnswer: -1\/439598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 399*g**3 + 4*g**2 + 13*g - 15. Determine i(1).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 6*p. Let o be k(6). Let z = 467.3 - 488. Let j = z + 21. Which is the third biggest value? (a) o (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 29*s + 37. Let h be q(-9). Find the third derivative of h*w**2 - 22645 + 22645 - 84*w**3 wrt w.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*18*(-4)\/16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 963 - 1007 = 2*q, -q = -5*m + 42 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6540 - 3385 = 2*j, -9925 = -5*g - 3*j. Suppose g = 14*d - 9*d. List the prime factors of d.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.4 (c) 532\/9 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 65*f**2 + 229*f + 61. Is h(-84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -957680, -3831125, -8620200, -15324905, -23945240, -34481205, -46932800?\nAnswer: -61300025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.98 + -0.02. Let g be (61 + -1 - 2) + -3 + -3. Which is the third biggest value? (a) 0.2 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*b - 130*b + 268*b**2 + 71*b + 29*b in the form g*b**2 + r + i*b and give g.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 25, 48, 77, 112, 153, 200?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -2.7 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + (-22 + 30 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 9 = -2*w, 3*w = -5*a + 4*w + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156595769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/427 + 15\/61. Sort r, 1, -0.129, -4, -0.1 in descending order.\nAnswer: 1, r, -0.1, -0.129, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 4*d + 7. Calculate t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.97 not equal to -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(693)\/(sqrt(11)*2).\nAnswer: -7 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/7 - 298*o**3\/7 + 993*o**2 - 28592*o\/7 - 5120 = 0. Calculate o.\nAnswer: -320, -1, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -10*(-2)\/4. Let a = -13 - j. Let m be (5 + -20)\/(a\/(-200)). What is m rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = -2*r + 4*v - 19, 5*r = -4*v - 620. Let p = 52914 - 1432028\/27. Let t = r - p. Is t != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.2 (b) 5\/17 (c) -2\/5 (d) -20 (e) -2\/7 (f) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((0 + 4)\/84). Let m(v) = -v + 7. Calculate m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34276864 to the nearest integer?\nAnswer: 5855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.2291812\nAnswer: 0.1145906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - (5 - 2)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2512443 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guy when three letters picked without replacement from {w: 1, y: 1, u: 6, g: 2, m: 8}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300072 by -75018.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(2\/5))**(-33))**31)**(-36) assuming k is positive.\nAnswer: k**(294624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95132 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n**4 + 0)*(-1 + 2 + 1)*(0 + 5 + 3)*(-5 + 2 - 2).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyzyhzyzyzymy. Give prob of sequence my.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 24*r + 142. Let k be c(14). Suppose 2*v = 5*z, -45*z = k*v - 44*z. Sort v, -5, -7 in decreasing order.\nAnswer: v, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 5*z = -11*y + 16, 5*y - 20 = 3*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.040741*113.\nAnswer: 4.603733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20131011 - -11310?\nAnswer: 20202321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645) - (sqrt(3645) + -2 + sqrt(3645) - sqrt(3645)))**2 + (sqrt(180)\/sqrt(100))**2)*-6*-2.\nAnswer: 348\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 343824, 688396, 1032968?\n\"Answer: 344572*l - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o**3 + 9*o + 2*o**3 - 9*o - 13 - 5 - 2*o**2 to x*o**3 + g*o**2 + l*o + p and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 2688\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2307*w**3 + 168035*w**2 wrt w.\nAnswer: 13842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4855.995111 + 4856. What is m rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3500\/(-4620)*(-18)\/225?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*x**2 - 15*x**2 + 25*x**2)*(-278*x**2 + 556*x**2 - 284*x**2)*(0 - 5 + 3)*(2 + 4 + 0) to w*x**3 + z + n*x**4 + m*x**2 + p*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 7*p + 96, -78*p + 39*p + 35*p - 3*o - 57 = 39 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + 2\/2. What is the second derivative of -2*r**3 + h*r + 2*r - r**3 + r**3 wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-273)\/13 - -17)*(-2)\/(-4)*1. Let g = -1 - -4. Sort 7, g, y, 4 in descending order.\nAnswer: 7, 4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 2*t. Sort -5, t, 0 in decreasing order.\nAnswer: t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190260 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.3, 1\/30, 1\/2, 15, 2.\nAnswer: -0.3, -0.04, 1\/30, 1\/2, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 27 = 3*i, -3*i + 5*o = 10 - 47. Suppose i*c = 5*c - 5*c. Let j be 1 + (-7)\/((-21)\/6). Solve c*f = j*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 7)\/(0 - -2). Suppose d*p - 5*p + 22 = 0. What is the least common multiple of p and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from zejzeeeqzqzejej.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*sqrt(3))*1 + sqrt(147) + 1.\nAnswer: 1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1)*(-8 + 8 + -4). Let r = -3.14 + 5.14. Sort o, -4, 0.17, r in increasing order.\nAnswer: -4, 0.17, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -205 + 471466?\nAnswer: 471261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + 1*(sqrt(3) - sqrt(108))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15468 = 25*v - 37*v. What are the prime factors of v?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 - 5*l**2 - 2*l. Let j be y(10). Solve j*c + 5*c + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/2 + -5\/6. Let h be 5 + 3\/6*2. Let p = -5 + h. Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -4*z + 0*z**3 - 4 + z**2 + 1\/4*z**4. Let k(h) = -5*h**3 + h**2 - 9*h + 17. Calculate 9*d(q) + 2*k(q).\nAnswer: -q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 27.0000091. What is w rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = h - 32516, 78*h - 72*h + 4*y = 195098. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w - 6. Let o be i(-4). Suppose 99 = -0*f + 3*f - 2*m, -3*f - 2*m = -111. Let y be ((-14)\/(-15))\/(21\/f). Is o less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 25 = 5*t, 2*w + 10 = 5*t - 2*w. Let y be -8*t\/(-8)*-2. Let k = y - 2. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2175716 = 2175714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*o = w - 0*o, 0 = -4*w - o + 16 - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798121768 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 1\/2 (c) 5 (d) 18\/11 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2212677 and 70.\nAnswer: 154887390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 - 3*b - 2. Let z(x) = -x**3 + 8*x**2 - 7*x + 4. Let g be z(7). Let j be t(g). Solve 1 = -j*f + f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -4 (c) 2\/7 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 75 = -57. Does 44 divide (-668)\/6*(7 - 17\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19919974 is divided by 380.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 4. Let f be 1 - (-2 + -1 + 0). Let v(c) = 3. What is f*v(m) - 3*o(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55642 - 25637 = -3*k + 3*t, 3*k - 81282 = 4*t. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 131. Let d be c(-30). Let g = -75 - d. Let f(m) = -133*m + 77. Let b(j) = 7*j - 4. Calculate g*f(o) + 77*b(o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 27*k - 62. Let g be c(-2). Suppose 0 = 4*d - 1 + 5. Put 2, g, d, 1 in increasing order.\nAnswer: d, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 12?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h**3\/7 + 5991*h**2\/7 - 13194*h\/7 - 3672\/7 = 0. Calculate h.\nAnswer: -102, -1\/4, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 29 + -17 + (3 - -11)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (3 - 7)) + (13 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -9. Let a be (-31)\/j + 6\/36. Is 199 + a - (-2 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, -227, -10 in decreasing order.\nAnswer: -10, -227, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -2 + (-44667)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 57 = 15*d - 3*k, -4*d + 18*k + 23 = -k + 2*k for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 12*x**2 - 45*x - 64. Let f be m(-6). Let i(b) = b - 1. Let d(c) = 3*c - 4. What is f*i(o) + 5*d(o)?\nAnswer: 5*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - z)*(-20*z - 6 + 6).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.15 + 2. Let o = u - -0.05. Which is the closest to o? (a) -3 (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1736 - -7917\nAnswer: 9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10, 1, -0.1, -31\/3, 1\/6, -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 - 8*s + 5. Let z(j) = j - 1. Let g(i) = -u(i) - 6*z(i). Let m be g(2). Suppose -m = -4*x - x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76)\/sqrt(4) - sqrt(19)))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.7 + 8. Let x = -427 + 423. What is the nearest to -1 in -5, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 381 + 291 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10579*v = -10580*v + 20 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let f = 8 - 130. Let l be (-4)\/(-14) + f\/(-14). Let y(t) = -t**2 - l*t + 9*t. Give y(s(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z**3 + 28*z**3 - 78*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062, 1037, 974, 855, 662?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 152989, 305976, 458963, 611950, 764937?\n\"Answer: 152987*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/463, -3, -2?\nAnswer: 2\/463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5704344 not equal to 57043429\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10936*y + y**3 - 10936*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Suppose -m*b = -12 - 0. What is the second derivative of -l**4 + l + l**4 - 2*l**b wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3180 divide 26314500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = 6. Suppose -7*u = -d*u - 3. Suppose -u*f = -0*f - 6. Solve c + f*b - 5 = 0, -27 = c - 5*b - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(200) + (-6*(0 + sqrt(200)))**2 + 1 + -4 + -1).\nAnswer: 240*sqrt(2) + 172704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12948353?\nAnswer: 11, 67, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d4bc + -3?\nAnswer: -d4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 241013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(10)\/(3*sqrt(8)\/sqrt(4)) + (sqrt(125)\/(sqrt(35)\/sqrt(7)))\/(sqrt(80)*6))**2.\nAnswer: 13005\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 + 13*c + 21. Let y be d(8). Does 20 divide (33\/9 + y)*180\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 21 = 3329. Let h = -780 + n. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33752654 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157.096 hours in days?\nAnswer: 89.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 44 = -5*i + 76, 3*b + 5*i - 410 = 0. Let j be 116\/b - (-8)\/(-30)*3. Suppose j = 11*l - 405 - 189. Calculate the highest common divisor of 72 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -410715, -410713, -410711, -410709, -410707?\n\"Answer: 2*k - 410717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29388785 divided by -5877757\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5 - 18*g**4 + 24*g**3 + 48*g**2 - 144*g + 96 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -11\/3 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Suppose 3*c + 2*v = -11, 2*v + 2 + 8 = -x*c. Let z(q) = 0*q**3 - 2*q - 2*q**3 - q**3 - 1. Give z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/11 + 1422*g**4\/11 + 591782*g**3\/11 + 1766794*g**2\/11 + 1763940*g\/11 + 587504\/11 = 0.\nAnswer: -292, -1, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 19*g = 20. Suppose 2*t + 0*u + u = 5039, 12587 = g*t - u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -1\/2 (c) 980 (d) 1\/8 (e) -4\/7 (f) 3\/2 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12565 is divided by 381?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = 26*i - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 4 - -13 - 19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15888 + 15854 + 15888 + 76*q - 47630.\nAnswer: 76*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 6*r**2 - 8*r + 19. Let v be z(-7). Let s = 10 + v. What is the greatest common divisor of 180 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 + 2. Let c be i(3). Solve -3*p + c = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*j - 12, -v - 4*j + 9 = -0*v. Suppose 2*z + 0*z - 48 = -w, -2*z = 3*w - 136. Let a(h) = -w*h + 11 - 41*h + 84*h. Calculate a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let m(q) = 42*q + 1. Let n(g) = 6*j(g) - m(g). Find the first derivative of n(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44935420 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262274*t - 262245*t - 145 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -13*l**3 + 5*l**2 + 7*l - 28. Is o(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*b - 101*b + 4*k - 190 = 0, b - 82 = -4*k. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/16 - (-54)\/4. Let j be ((-4880)\/l)\/(1\/(-1875)). What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 1:38 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -2541\nAnswer: 65\/2541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167890 is divided by 1167884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31.6 from 2593292533784.\nAnswer: 2593292533815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, 2\/13, -7, -9, 5 in ascending order.\nAnswer: -22, -9, -7, 2\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 52333 (b) 0.5 (c) 4 (d) 0.2 (e) 2\/29 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -330 (b) -259\/6 (c) 11.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1 = k, 3 = o - 3*o - 3*k. Let c be (-12)\/36 + (220801\/3 - o). What is c rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 184 = 4*d, -2*x + 54 = 3*d - 84. Suppose -8*h + 365 = -267. Let p = h + d. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 - 7 - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*-53*52\/(-8268))\/(20\/(-42))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7038 - 2*p**2 + 2240*p - 2240*p.\nAnswer: -2*p**2 + 7038","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 5. Let p be j(-5). Let h = 19 - 100. Let c = h - -81. Solve -w + p*w + 3 = c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**7\/420 + 11*c**6\/80 + c**5\/120 - 11*c**4\/16 + 1526*c**2. Factor d(i).\nAnswer: -i*(i - 33)*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13474647.\nAnswer: 3, 29, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -97 - 0?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 1\/11 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 64252, -8, 1 in decreasing order.\nAnswer: 64252, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + -8.12. Let g = 15 + -23. Let d = g - s. Put -4, d, 0.08 in ascending order.\nAnswer: -4, d, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1, 0.3, 247?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2. Let o(i) = 49*i - 69 - 37*i - 5*i. Give o(x(m)).\nAnswer: -7*m**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -137248282 to the nearest 1000000.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007479727 to four decimal places.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f + 3657?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 16*z + 22*z. Sort -12, z, -2, 17 in decreasing order.\nAnswer: 17, z, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-1)\/6*(-48)\/(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 29*h**2 - 31*h + 67. Calculate r(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -316517215*a**2. Let i(j) = -j. Give i(x(b)).\nAnswer: 316517215*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11933*n - 35803. What is m(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12) - 10\/(-15). Suppose c = -3*i + 9 - 0. Suppose -5*z = -10*z - i*q - 7, 4*z - 2*q = 12. Solve 4*a = -z - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -2*k + 12. Suppose 1090 = -0*x + x + 1097. Suppose -25 = 4*s + s. Sort s, x, k, 0 in ascending order.\nAnswer: x, s, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -151437 - 3?\nAnswer: -151440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 9*z + 10. Let n be y(7). Let w = -5 - n. What is the remainder when (-1 + 33)\/((-1)\/w) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -121*s + 112. Calculate k(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9230000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28249137*c**2 - 583016*c - 12.\nAnswer: 56498274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 11557 = -9334. Let n = -819 + y. What is the remainder when n is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 143 = 13. Suppose -w + s = 10. Calculate the remainder when w is divided by (-2)\/5 - 57\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17453 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/2 - 4219*d\/2 - 750092 = 0. Calculate d.\nAnswer: -3827, -392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143 minus 523839450195?\nAnswer: -523839451338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1371689640 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.116306 hours in minutes?\nAnswer: 306.97836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171399, -171407, -171417, -171429, -171443, -171459, -171477?\nAnswer: -171497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582 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: Let q(x) = 725*x - 23226. Determine q(31).\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**3 + 13*u**2 - 353047*u - 763525?\nAnswer: -6*u**2 + 26*u - 353047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3168.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 4*g)*(-659*g**3 - 634*g**3 + 1291*g**3 + 8505*g**4).\nAnswer: 8505*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 + c - 6. Let s(n) = n**3 + 3*n**2 + n - 5. Let v(b) = -5*r(b) + 6*s(b). Factor v(u).\nAnswer: u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -11. Suppose 7*k = f*k - 48. What is the lowest common multiple of 12 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**3\/3 + l**2\/2 - l. Suppose -i = -2*i + 3. Let r(z) = 3*z - 2. Give i*r(v) + 5*w(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -31*u + 21046. Let l(r) = -88*r + 63136. Give -6*l(d) + 17*o(d).\nAnswer: d - 21034","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15\/49 + -446\/1617. Suppose -2*k = -1 + 3. Are l and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1377) + (sqrt(1377) + sqrt(1377)*2)*3 + -2 + sqrt(1377) + 0 + 0)**2.\nAnswer: -792*sqrt(17) + 166633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10*(-95)\/38?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 7:55 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o*u**3 - 6*o*u*x**3 - 3*o*x + u**3*x**3 - 8*u**3*x + 5 wrt o.\nAnswer: -3*u**3 - 6*u*x**3 - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u**2 + 223*u - 7. Let j be h(-16). Solve -j*y = 7*y + 96 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2203233300 (base 4) to base 16.\nAnswer: -a3bf0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 0 - 1) + (-48 - -42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/3658 and 113\/5270?\nAnswer: 310930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-24)*3 - (-21)\/12. Suppose -5*o + x*f = -15 + 2, -5*f + 11 = 2*o. Let r = -7 - -11. Which is the smallest value? (a) 1\/5 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 2\/15, -2\/293?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529 - 1271 = 12*q. What is the units digit of 15\/(3 - 0) - q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -7*x**5\/4 - 18*x**2 + 33*x. Differentiate h(w) wrt w.\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956368?\nAnswer: 2, 3, 17, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let z = 7 - 6. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 226*k**2 + 1156*k + 1434. Give o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -108*b**2 + 27*b - 224. Let h(c) = -43*c**2 + 13*c - 111. Let r(w) = 2*f(w) - 5*h(w). Give r(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c209 (base 15) in base 3?\nAnswer: -2100210212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8596, 2435, -7840, -22229, -40732, -63349, -90080?\nAnswer: -120925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/300 and (-3)\/(-9) + 1197\/210.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 20. What is x(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -3, -11, -23?\n\"Answer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 63 = -20*v. Let j = -1 - -9. Suppose -j = 2*o - 3*o. Calculate the smallest common multiple of v and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/18)\/((-56)\/(-24)). Is z bigger than 61.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 70.38. Round x to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*d**2 - 20\/7*d - 48\/7.\nAnswer: -2*(d + 4)*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s - 1. Let g(i) = -3*i**2 + 134. Let o = -334 + 335. Let q(t) = o*g(t) - m(t). What is the derivative of q(p) wrt p?\nAnswer: -8*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 6. Let s = -19 + k. Which is the closest to s? (a) 1\/9 (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.43 - 1.43. Which is smaller: 12\/23 or x?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 12:04 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/5)*f**(2\/5))\/(f\/(f\/(f*f**0))*f**(-19)))**(-35) assuming f is positive.\nAnswer: f**(-595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53157954 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -448*k**2 + 3*k. Let j(w) = -71*w. Give b(j(m)).\nAnswer: -2258368*m**2 - 213*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -48*c**2 + 10*c - 19. Let o(d) = 16*d**2 - 3*d + 6. Let n(v) = -11*o(v) - 4*y(v). List the prime factors of n(3).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/((-1)\/2). What is the nearest to 0.1 in -5, 3\/2, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 + 2*q + 1. Let r be x(-2). Suppose 4*k + 4*z - 4 = 0, -1 = -3*k - 2*z + r. Let f = k + -3. Which is greater: -3\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.011 or 28961?\nAnswer: 28961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h + 139. Let y(s) = -5*s - 70. Determine -4*p(n) - 9*y(n).\nAnswer: n + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 231 = 5*k, -k + 2*k - z - 47 = 0. Suppose k = 6*c - 80. Let q = -13\/22 + 232\/11. Which is bigger: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t + 7*t - 12 - 16*t + t**2. What is the smallest common multiple of z(-6) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88.77343l?\nAnswer: 88773.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from ueeoouuuooeo?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/4 - 7930*g**2 + 63443*g\/4 - 15861\/2 = 0.\nAnswer: -31722, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/97952 and 85\/32.\nAnswer: 97952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -15) + -37 - (-27 + -8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(1105*s**2 - 1105*s**2 + 57*s**4) in the form u*s**3 + l*s + x + g*s**4 + d*s**2 and give g.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 43*x + x**2 - x**2 - 2*x**2 as n*x + i + h*x**2 and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 4*o**3 + 0*o**2 + 5*o**2 - 5*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 - 7*f**2 - 6*f**2 - 15*f**2 as p*f + z + a*f**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/12 - 15*k**2. Let z be d(7). List the prime factors of ((-4)\/(-5))\/(z\/35) + 154.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-1*sqrt(512)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 511.6 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzizzzzziwrzzzzwie. Give prob of picking 1 r and 1 w.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 38. Calculate l(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33762 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 4*k**4 + 8*k**5 - k**5 + (3*k - 3*k**3 - 3*k)*(k - k - k**2).\nAnswer: 10*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/360 - b**5\/24 - 5*b**4\/4 + 32*b**2. Let u(p) be the second derivative of o(p). Calculate u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {q: 7, c: 6, w: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l - 3*l**2 + 28*l + 20*l.\nAnswer: -3*l**2 + 35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1774, -5, -4, 1014 in decreasing order.\nAnswer: 1774, 1014, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*q + 7786175*k**3*q - 31*k**2*q + 13*k**2 - 5324 wrt k?\nAnswer: 48*k*q + 46717050*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*q = -4 - 2, 0 = 3*o - 4*q - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/4989 - 30266\/414087. Let q = -112\/747 + j. Which is the smallest value? (a) -3 (b) -1.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/24*8\/6. Let l = 3 + -5. Put -11, r, l in ascending order.\nAnswer: -11, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -1 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2513 = -z - 5*a, 1366 = -2*z + 5*a + 6407. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4353.\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4 - 1 - 8*f + f**3 + 5*f**2 + 2. Let j be (-1)\/((-75)\/(-18) + -4). Is g(j) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = 2*f + 4, 2*f = 6. Is z greater than -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3862690777?\nAnswer: 11, 351153707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*l + 581, -a - 4*a = -2*l - 263. Let t be ((-27)\/l)\/(2\/4). Suppose -6 = -2*r - 0*r. What is the nearest to 3\/10 in 0, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*k - t, -81 = -141*k + 138*k + 5*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 24*l + 4. What is the hundreds digit of n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 11. Let x = j + 38. What is the nearest to 2 in 2\/9, x, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 12. Let w be h(4). Let i be 130\/w*(-36)\/(-10). Let x = i - 61. What is the remainder when x is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/12 - -2)*664*3\/30. Solve -j*g = -165*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 5*h + 7. Let i(l) = -2*l**2 - 4*l - 6. Let q = 5 - 4. Suppose -5*r - 9 = q. Let d be r\/(((-8)\/(-10))\/(-2)). Give d*u(g) + 6*i(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 823, 826, 829, 832?\n\"Answer: 3*k + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/(-154)*((-82486)\/120)\/(-1). Let p = b - -1382\/7. Find the common denominator of p and ((-1)\/(-16))\/((-18)\/(-1608)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 + 4*m**3 + 11*m**2\/2 + 23*m - 871. Give s(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, 2, -2, 28, -4, -45?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*((-24)\/(11664\/(-27)))\/(1\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 512\/(-17) - (24 + -13) - (-4)\/34\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 7006 - 7130 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*n - 142 = 0, 3*i - n + 206 = 3*n. Let p be (-224)\/i + (1*2)\/(-10). What is the highest common factor of 33 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 131*x + 2491. What is a(39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -13. Let u = -30 + 21. Let s = u - y. Solve -h - h = s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45027004 and 9003.\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 0.2, 0.5.\nAnswer: -1, -0.4, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f - 4. Let h be (1\/f)\/(4\/(-8)). Let c be 169998 - (-1 - (2 - h)). Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50245932 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100101100101011111011101 + 10?\nAnswer: -101100101100101011111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3078*w + 24629. Calculate g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Let -885*d**4 - 340*d**4 + 2608*d**5 - 880*d**2 + 320*d - 893*d**q + 80 - 4060*d**3 = 0. What is d?\nAnswer: -1, -2\/7, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -43 + 37*g + 43. Let j(l) = l. Determine j(i(z)).\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 17. Let u = -77.5 - -73. Let i = c - u. What is the smallest value in 1, -1, 2, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -990336 and -76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzznzzzzzznzznzzz. Give prob of picking 1 n and 2 z.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37127.80607 + -37128. Round d to 3 decimal places.\nAnswer: -0.194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628551069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**6 - 1396*m**4 + 127*m**3 + 53313529*m**2 wrt m?\nAnswer: 120*m**3 - 33504*m + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w + 9. Suppose -3*u - 31 = -4*n, -3*u = -0*n - 3*n + 24. Is c(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 22. Let y(g) = 2*g. Calculate y(u(l)).\nAnswer: -2*l + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4998 and 2856?\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19561539*h**4 - 10*h**2*u**2 - 1397219*h*u - 24*u**2 wrt h?\nAnswer: -234738468*h**2 - 20*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -986 - 7145.\nAnswer: -8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814223, 814230, 814237, 814244?\nAnswer: 814251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 805536.\nAnswer: 805536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -33*-26*4\/(-24). Let p = 80 - r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*14\/6 - 24*30\/180. Let n(v) be the second derivative of 16*v + 0 + 11\/6*v**z - 11*v**2. Find the first derivative of n(b) wrt b.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3414*n**3 + 4*n**2 + 209*n - 16. Let v(r) = 2*r**3 - r**2 + 5. Let k(y) = -h(y) - 4*v(y). Find the second derivative of k(s) wrt s.\nAnswer: -20532*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -608, -621, -634?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 20. Let p be -5*h\/8*-2. Sort -2, p, 3 in decreasing order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j - 19*j**2 - 33*j - 22*j + 17*j**2 - 637 + 78*j.\nAnswer: -2*j**2 - 637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001586 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from fffwfwwfwqdwqdqb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 10*z + 250. Let x = z + 445. Suppose 54 = 2*u + 3*m - 20, 5*u + 5*m = x. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/35490*-21)\/((6\/(-20))\/(-3)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6293, -12591, -18893, -25199, -31509, -37823?\nAnswer: -44141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) - (-16)\/6. Let o be 2\/8 + 92\/16. Is (-202)\/(-3) - d\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40307 + 19646. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177.2 + 15.2. Let g = 161.9 + n. Which is the biggest value? (a) g (b) -4 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Suppose 917 = -5*o - 20*o + 167. What is the tens digit of (-10)\/o - 101\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4198*m**2 + 4 + 4194*m**2 - 19 to p*m**2 + o*m + d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16170110 and 23606?\nAnswer: 16170110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(13\/(-2)))\/((-5)\/(-35)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 3 + (sqrt(2) - sqrt(32)))**2*-4.\nAnswer: -68 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bno when three letters picked without replacement from {a: 2, y: 1, b: 7, o: 1, n: 4}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 2. Suppose h + 3 = 4*h. Suppose -4*a + 13 = h. Calculate l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.54252733 to 3 decimal places.\nAnswer: 93.543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 0.1 (c) -987.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5\/3 - 8315*u**4 - 29840620*u**3\/3 + 1068717440*u**2 + 1078656000*u = 0.\nAnswer: -2544, -1, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/5 (b) -3.7 (c) 13086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 1. Let x(p) = -p**3 - 6*p**2 - 10*p - 13. Let k(g) = -6*t(g) - x(g). Determine k(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*l - q + 2*q, 0 = 5*l + 5*q - 65. Suppose 4*a - 3 = 5*y + 18, 3*y = -3*a + 9. Put l, 3, a, 1 in increasing order.\nAnswer: 1, 3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 4. Let p(o) = -o. Give -2*p(f) + x(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaaaaaanaunn. What is prob of picking 1 u, 1 n, and 1 a?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -11*t**5\/20 - 2*t**3 - 2*t + 2. Let m(w) be the first derivative of n(w). Find the second derivative of m(l) wrt l.\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(-38))*f*f\/(f\/(f\/(f*f**(2\/99))))*(f*f**(9\/7)\/f*f)**(3\/8) assuming f is positive.\nAnswer: f**(-25061\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 + 5*n + 17. Let f = 40 - 33. Let c be v(f). Suppose -2*k + k - c*i = -16, -23 = -3*k - 4*i. Which is smaller: k or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 59*j - 51*j - 2569, 7682 = 3*x - j. Is x a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 86\/13, -1, 3, 5?\nAnswer: 86\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + i**2 + 2*i**2)*(-i**2 - 6*i**2 + 5*i**2)*(1 - i - 1).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.4, -521, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 7436 - 8584 = 0. What are the prime factors of z?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let s(i) = 4*i - 18. Let p(q) = 5*n(q) - s(q). Suppose -y + 40 = -6*y. Let h be p(y). Solve -9 = 3*r, 2*r - 6*r - 27 = h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*h - 2*h - 8 = 0, q + 2*h = 4. Suppose q*p - i = 480, 0*p - 5*i = 2*p - 480. Suppose 21*r = 24*r - p. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -489 divided by -163?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeereeeeeeeee. What is prob of sequence ere?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 12.07. Let t = -271\/3 + 4613\/51. What is the second biggest value in -2, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 14*j - 30. Calculate z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -746593\nAnswer: 2986372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*f + 4*c + 1, 4*c = f + 14. Let d be (f\/4)\/(6\/128). Suppose 0*q - 5*q - w + d = 0, 4*w - 9 = -3*q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4018*g**3 + 135*g**3 - 318*g**3)*(3*g + 1 + 1 - 5) as o*g**2 + k + p*g**4 + q*g + b*g**3 and give b.\nAnswer: -11505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2) - (-13)\/((-91)\/(-14)). Suppose 0 = -4*j + 3*c - c + 34, -5*j + 50 = 5*c. Let t(k) = j*k - 2 - 4*k - 7*k + k. Give t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 1 - 46*f - 65*f**2 + 41\/3*f**3. What is the first derivative of b(l) wrt l?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (-1 - -3) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 32*c**3 + c**2 + 124*c. Let n(d) = -6*d**3 - 25*d. Let w(v) = -2*l(v) - 11*n(v). What is the second derivative of w(h) wrt h?\nAnswer: 12*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 25*o**2 - 2641*o. Let k(y) = 11*y**2 - 1318*y. What is 3*d(q) - 7*k(q)?\nAnswer: -2*q**2 + 1303*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 26. Let j(b) be the first derivative of 24*b + 20 - 1\/2*b**2. Let q be j(7). Let v(h) = -h + 9. What is q*v(o) + 6*a(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 9. Suppose 0*c = -i + 2*c - 8, -4*c + 16 = 0. What are the prime factors of v(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + (-16 + 2 - (0 + -19)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 less than -760\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 4*n + 7. Let j be h(-8). Let y = j + 73\/3. What is the nearest to y in 5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4716 and 3582588?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = -50*s + 36960. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5578265 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245971581 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3)\/(-2) + 6\/12. Suppose 8 = -n*t + 12. Let p(s) = -s**2 + 3*s - 3. What is p(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82783 - 295891 = 147787*c - 145981*c for c.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 5. Let s = 0.6 - u. Suppose 6*f = 3*f. Which is the nearest to f? (a) s (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)\/((-1)\/(-4)). What is the units digit of (a\/6)\/(3\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9301971390 and 6.\nAnswer: -9301971384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -9 + (-23 - 20) + -27?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-21))\/(10\/(-28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3700, 0.172, -1 in increasing order.\nAnswer: -1, 0.172, 3700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, e: 11}. What is prob of sequence iie?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 10*u - 9. What is c(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - (0 - 0). Let y be (-8)\/(-28) - 4\/14. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-3\/5)*s)\/(s**6\/s))**(-2\/47)\/(((s\/s**(-6))\/s*s**1)\/(s**(-4\/7)\/s*s**(2\/3))) assuming s is positive.\nAnswer: s**(-38464\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 85.713km?\nAnswer: 85713000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 161*d + 1018. Determine j(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-10)*3)\/((-42)\/(-35)). Which is the nearest to 0? (a) -1\/3 (b) t (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = -24. Suppose -5*w + 9 = -j. Suppose -5*k - 20 = v, 0 = 5*k - 3*v - 4 + 44. Put w, -2\/3, k in increasing order.\nAnswer: k, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -31.3. Let a = 22 - 25.9. Let v = i + a. Put v, 3, 4 in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 323 + -165. Let p = -787\/5 + g. Factor -p*w**3 + 0*w + 0 - 6\/5*w**2.\nAnswer: -3*w**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/6 - (-8)\/12. Let q(u) = -n*u**2 - 3*u**3 + 9*u**2 + 14*u**3 + 1. What is q(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13233032 + 3?\nAnswer: 13233101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60583 is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:46 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6472\/5 + 1287. Let d be 1 - (-3 - (-11436)\/(-7)). Let x = d - 1635. Calculate the common denominator of x and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*s**3 + 3330*s**2 - 3330*s**2 + (1 - 1 - 3*s)*(-s**2 + 0*s**2 + 2*s**2).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -327*c + 285*c - 84 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4)\/sqrt(2) + 5 + -3).\nAnswer: -8 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 - 136. Let j = f + 60. Solve x + j = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -12*x + 29. Let f(w) = -4*w + 8. Let m(y) = 3*y - 5. Let z(k) = x*m(k) + 5*f(k). Let j(o) = -6*o**2. Give j(z(l)).\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/63)\/(-16))\/(15\/(-75))?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34335 = -1602*y + 1057*y for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*m - 3*p - 6, -65*p - 6 = -m - 62*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**3 + 8*s**2 - 26 - 12*s**3 + 4*s**2 + 3 + 9*s. What is the units digit of c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*y + 249*y + 257*y.\nAnswer: 1008*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 49.0125. What is v rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose r = -0*l + 5*l - 15. Let d(o) = l*o + 0*o - o. Let y(c) = -2*c. Determine y(d(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 + 7*c - 5. Let n = -2584 + 2578. Calculate o(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 2*z**2 - 7*z - 1. Let g(r) = 9*r**3 + 3*r**2 + 15*r + 3. Let x(t) = -3*g(t) - 7*l(t). Let j be x(-2). Suppose 6*h - j*h = -h. Is 1\/135 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7\/3, -4, 5\/2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3086488 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -1 - (3 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 3*d**2 - 2*d - 5. Determine t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.5 + -19. Let o = 7 - s. What is the biggest value in o, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 2)*(-5*d + 2*d + 2*d) - 3*d - 3*d + 5*d)*(-655 - 25013 - 2993 - 142211 - 83802) in the form l + c*d and give c.\nAnswer: 509348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (46\/483)\/((-2)\/6 - 0). Which is the fourth biggest value? (a) 3 (b) 4 (c) -1\/2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = 2*o + 3*o, -3*o - 4*s + 20 = 0. Solve f = -4*r + 11, 4*r + o = -2*f + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-3 - -1) + 7) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8273 rounded to 1 decimal place?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64\/71 + -2129\/710. Calculate the common denominator of -14\/17 and q.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*b - 160 = -0*b, 2*g - 53 = -b. Let o = 26 + -45. Let f = o + g. 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 common denominator of -7\/2134 and 23\/836.\nAnswer: 81092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - t - 3*t + 1. Let j(u) = -u + 1. Give 4*j(m) - q(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2195 + -4243. Let v = t + 45007\/22. What is the common denominator of -119\/6 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1694299.21 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 86. Let m = 4.5 - 0.5. What is the closest to m in w, 0.3, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1561)\/(-9812)*-11)\/((1\/(-12))\/(4\/10))?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*m**3 - 14*m**3 - 13*m**3 - 38*m**3 - 31*m**3.\nAnswer: 57*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 242.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 5*x**2 - x + 8. Let y be i(5). Suppose 5*d = -y*m - 26, 5*d - 3*m + 6 = -8. Let b = 5.2 + -5. Are d and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -130964 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 21\/((-1029)\/(-1960))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 8. Let b = -134 + 140. Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/16859 and 55\/236026.\nAnswer: 236026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2)*-2*(32 + -33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 - 105 - 47*j + 0*j + 3*j - j + (2*j + 3*j - 3*j)*(3 + 4 - 5) - 5*j + 2*j + 2*j)*(5 - 2 - 5).\nAnswer: 84*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5 - d**2 - 2*d**2 + 7*d + 4*d**2. Let l be (-25 - -21) + (-3 - -1). Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-78)*20280\/11960.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 296051643\/7 less than or equal to 42293092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43080, -42733, -42392, -42057?\n\"Answer: -3*n**2 + 356*n - 43433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 3*v**8\/112 - 11*v**4\/24 + 7*v**2. What is the second derivative of p(g) wrt g?\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615019663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 13. Does 42 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 564474*i + 9595191.\nAnswer: 3*(i - 188141)*(i - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2562480987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051229 times 14?\nAnswer: -0.717206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/24 + 5*n**3\/6 - 7*n**2. Find the first derivative of s(b) wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 11 - 3)*(-6*s + s + 4*s + 3*s + 0*s - 2*s + (4*s - 4*s - s)*(3 - 5 + 4) + 0*s - 4*s + 2*s).\nAnswer: -84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-36)*(0 + -5 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 247043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1034, -2036, -3006, -3938, -4826, -5664?\nAnswer: -6446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36874661414 + 36874636516.070007. Let r = i - -24898. Let u = r - 0.07. Round u to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2022651 + 24*u + 2022651.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfsccccpj. Give prob of sequence jp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 35*z**2 - 64*z - 421. Calculate a(14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 40 = 2*p, 0*p + 3*p - 140 = -5*s. Let j = 25 - s. What is the units digit of (-1 - j)\/(8\/(-392))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338151907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*a**3 + 11*a**4 - 3 - 8*a**4 + 46*a**3 + 2 - 89*a**3 in the form p*a + t*a**3 + i*a**4 + q*a**2 + w and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*w**2 - 37 + 292*w**2 - 587*w**2.\nAnswer: -27*w**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/5 + 208*d**2\/5 = 0.\nAnswer: -208, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a factor of 1335510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1700)\/(-700) - (-2)\/(-14)*3. Suppose n*h + 9 = 5*h. Solve 1 + 2 = h*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1826 by -22.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109850 and 1300?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -783, -63, -1933 in decreasing order.\nAnswer: -63, -783, -1933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - -1 - (-552 + 386 + 166)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 0)\/(10\/10). What is the units digit of 276\/20 - (-1)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 40. Suppose -t - t - 180 = 0. Let h = t + 126. What is the greatest common divisor of h and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2828.044m?\nAnswer: 282804.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -48521?\nAnswer: 48523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/35)\/(((-8)\/(-14))\/(-2)). Suppose -2*o + 17 = t*o - 5*b, -13 = -3*o + 4*b. Factor 15\/4*i**2 + 7\/4*i**o + 1\/4*i**4 + 0 + 9\/4*i.\nAnswer: i*(i + 1)*(i + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20703 and 3752?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 873 and 5917.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*s + 19*w - 21*w, 5*s - 21 = 4*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11 + 10 + 2*k - 6*k + 2*k + 886*k**2. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 0.2 (c) 6\/5 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 2 (c) 2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3655483*f*z**2 + 6*f*z + f - 48893575 with respect to z.\nAnswer: 7310966*f*z + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44468.8 and -0.5.\nAnswer: 22234.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 26*o + 25. Let h be w(-25). Suppose 3*n - 175 = -2*s, -2*s - s - 3*n + 255 = h. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 776, 5602, 18366, 42956, 83260, 143166, 226562, 337336?\n\"Answer: 648*r**3 + 81*r**2 + 47*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v. Let l(i) = 6*i. Let m(g) = 6*l(g) + 5*x(g). Let a(q) be the second derivative of -q**4\/3 - q. Give a(m(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -275555.8 times 0.171?\nAnswer: -47120.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945864635?\nAnswer: 3, 5, 11, 13, 907163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(60)\/(sqrt(144)\/(-5*sqrt(12)))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 26.1. What is the nearest to k in 5, 13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*c**2 - 6 + (-3 - 1 + 0)*(-2*c**2 - c**2 + 2*c**2) to a*c + d + p*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*m = -6*p - 3*p - 19, 3*m - 18 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720714?\nAnswer: 2, 3, 113, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 43400.\nAnswer: 43400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 382 - 262. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1324740446 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 + -3 + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -30*x**2 + 3*x + 3. Let f(k) = 29*k - 2636. Let w be f(91). Let u(a) = -30*a**2 + 2*a + 2. Determine w*u(y) - 2*n(y).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*h - 4*a - 2, 0 = 3*h + a + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*b - 10, 8*f + 4*b = 3*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.1, 3, -3, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 27*m**2 + 292*m + 7917. Give k(-27).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28+168605140.916\nAnswer: 168605112.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/12483 and -9?\nAnswer: 12483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 2\/199 (c) 2\/17 (d) 3 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*d**5 + 307*d**5 - 131*d**5 + (1 + d - 1)*(0*d**4 + d**4 + d**4) - 4*d**5 + 0*d**5 + 6*d**5.\nAnswer: 69*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*b = 115*b - 57*b. Let o(n) be the first derivative of -1\/18*n**4 + 10 - 4\/27*n**3 + b*n**2 + 0*n. Factor o(p).\nAnswer: -2*p**2*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y = 66*y + 144. Which is smaller: y or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3362*r**3 + 19*r + 4. Let f(v) = -5044*v**3 - 26*v - 6. Calculate -5*f(i) - 7*t(i).\nAnswer: 1686*i**3 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012072118 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-66) + 2869\/1661?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 0*d)*(-5*d + 4*d + 0*d) + 2*d**2 + d**2 - 2*d**2 - 2*d**2 + 4*d**2 - 3*d**2 + 6*d**2 - d + 2*d - 4*d**2 + 87*d**2 - 3*d**2 - 2*d**2.\nAnswer: 85*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i - 3. Let x(l) = -6 + 0 + l + i*l - 2*l. Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 2. Let k(w) = w**2 - 3*w - 4. Let h be k(4). Suppose 5*c = 5 - h. Let f = -17 - -11. Let v(j) = -j. Calculate c*a(d) + f*v(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010210 (base 3) in base 12?\nAnswer: 13a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*s + 7*s, -s + 6 = -0*s. Calculate the remainder when 455 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*q**3*r**3 - 9*m*q**2*r - 2*m*q*r**2 + 442593650*m*r**3 - 1240*m - 181*q**3*r wrt r.\nAnswer: -12*m*q**3 + 2655561900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y**2 + 41*y. Let h be d(3). Solve -2*a - 2*m - 2 = 0, a - 2*m + h + 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82637507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 9. Let r be s(-9). Suppose 0 = j - r*j - 4. Sort -0.5, -4, j in descending order.\nAnswer: j, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 19*h - 7. Let v be i(-10). Solve -5 = 4*x - v*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o + 1. Let c be r(-3). Let n be (-35)\/(-21)*(-6)\/c. What is the first derivative of -1 + 0*i**n - 3 + 3 + 6*i**2 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:38 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(-23\/3))**(4\/3)\/(u**(-2\/7)*(u*u*u**(-1\/7)*u)\/u*(u*u**2)\/u*(u**(1\/5)\/u)\/u) assuming u is positive.\nAnswer: u**(1052\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**6 - 871*o**3 - o**2 + 9227 wrt o?\nAnswer: 120*o**3 - 5226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. List the prime factors of z*(-1 + 2)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-2244) + 4\/12?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 0*a - 8*a - 25 + 14*a. Let i be j(28). Determine k, given that -i + 21\/2*k - 27\/2*k**2 - 3\/2*k**4 + 15\/2*k**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 - 1012002020222?\nAnswer: -1012002012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4234 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 2\/17, -1, 1\/13, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 856, 884, 912, 940, 968?\n\"Answer: 28*s + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*c**5 + 61*c**5 + 121*c**5 + (5 - 2 - 4)*(3*c**3 - 3*c**3 - c**5) - c**2 + c**2 - 2*c**5.\nAnswer: 52*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -42.2. What is the nearest to -1 in g, 2\/15, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -33.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 851401 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + h**3 + 3*h**3 - h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**7 + 5*q**3\/3 + 12. Find the third derivative of g(i) wrt i.\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -u + 8*u. Solve -a = -4*a + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240653 (base 7) to base 9.\nAnswer: -65658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -16*s. Let u(c) = 52*c + 14. Let h(p) = -9*p - 2. Let x(o) = 21*h(o) + 3*u(o). Determine x(k(f)).\nAnswer: 528*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 9. Let d be y(6). Let u be -2 - ((2 - 1) + d). Suppose 3*n - h - 3900001 = u, 3*n - 5*h - 3900004 = -h. Round n to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 138 + 171 = 3*h, -2 = q + 2*h for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212021 (base 3) to base 4.\nAnswer: 21310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12177820 and 160?\nAnswer: 97422560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*w - 328*w - 3288 = 240*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:12 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292 + 264. Let r(h) = h**3 + 27*h**2 - 29*h + 42. What is the remainder when r(f) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 2*d + 6*d**2 + 35*d**2 - 2*d - 2333 + 2328.\nAnswer: 41*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/4? (a) 1\/4 (b) 2.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**9\/56 - m**5\/6 + 67*m**3\/6 - 18*m. Let y(k) be the second derivative of x(k). Find the second derivative of y(s) wrt s.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.075 to one decimal place.\nAnswer: -23.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 10556874.7 to the nearest ten thousand.\nAnswer: 10560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-23374)\/1885)\/((-2)\/365) is divided by 564.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)*x)**(3\/19)\/(x**(-2\/3)*x*x**(-11)))**(13\/5) assuming x is positive.\nAnswer: x**(16159\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -8551217 and -0.04.\nAnswer: -8551217.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -560*c*u**4 - 2*c*u - c - 25*u**2 wrt u?\nAnswer: -13440*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(1176*-1)*1*(-14)\/(-7)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 1766869.\nAnswer: 1766874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -748\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*v - 9 = 0, -2*s + 15 = 25366*v - 25363*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229422 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1236 or 40\/779?\nAnswer: -1236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = -2*c - 1, -5*c - 6 = 4*f. Suppose -c*p + 5 = -3. Suppose -5*m + 10 = -15. Solve 2 = 3*w - g, m*w + p*g + 23 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -126*a. Let v = 505 - 513. Is 21 a factor of p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.182809263 to 3 dps.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -143, -323, -575?\n\"Answer: -36*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/5)\/((-4)\/20). Suppose -t - 11 = -4*w, 5*w = z*w + 4*t - 12. Suppose 0 = f - 3*f + 16. Calculate the lowest common multiple of w and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + (sqrt(153) + sqrt(153)*2 - sqrt(153)))\/sqrt(9) + sqrt(68)*1)*-1)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 111*i + 129*i - 245. Solve c - 3*f + 30 = 44, -c + f = -i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/137 and 31\/110088?\nAnswer: 15082056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d = -5*y + 24, 0 = -3*y + d + 13. Suppose -20 = y*t - s, 5*s = t - 0*t + 5. Which is the smallest value? (a) t (b) 2\/5 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1105*o + 47006. What is r(-42)?\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543079 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 j when four letters picked without replacement from {i: 1, j: 1, s: 1, r: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/20)\/((-7)\/(-42)). Factor 1\/5 - o*u + 0*u**2 + 1\/10*u**3.\nAnswer: (u - 1)**2*(u + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 m, and 1 y when four letters picked without replacement from {m: 1, l: 1, y: 3, q: 5, n: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (165\/81 - 2)\/(10\/30). Let n(o) be the second derivative of 17\/18*o**4 + 0 + 3\/5*o**5 + 0*o**3 + 3*o - 4\/3*o**2 + b*o**6. Suppose n(g) = 0. What is g?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -36*d**2. Let h(q) = 7*q**2 + 440*q - 1. Calculate h(o(x)).\nAnswer: 9072*x**4 - 15840*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10))**(-33))**46 assuming a is positive.\nAnswer: a**15180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2248*w + 287745. Give y(128).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*w**2 - 2750*l*w + 1240*w**2 wrt l?\nAnswer: w**2 - 2750*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + (sqrt(1900) - (sqrt(1900)*-2 + 5)) + (sqrt(1900) - 4*sqrt(1900)*2))*-1)**2 + -4.\nAnswer: 300*sqrt(19) + 17121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/3 - 2*o**2\/3 + 624*o + 7560 = 0 for o.\nAnswer: -18, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6647480 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1903877ml?\nAnswer: 0.0001903877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12602460 to the nearest integer?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -135. Calculate the remainder when y is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 412279 * 8.\nAnswer: 3298232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*650\/(-4) - -2. Let l be 5*(-28)\/(-20) - 5. What is the units digit of l\/13 + s\/(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(97 + 100*d - 169 + 69)*(0*d + 0*d + d**2) to the form w*d**2 + v*d + o + x*d**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15680567 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03493652 to four dps.\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/15 + 5856\/15. Suppose g - 67 - 126 = -q, 2*q + g - w = 0. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651150 is divided by 412354.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -16. Let j(s) = -7 - 3*s - 1 - s**3 + 4 + 5*s**2. Let m be j(3). Solve w + m = q*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29160 and 1023705.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76552, -306462, -689646, -1226104, -1915836, -2758842, -3755122?\n\"Answer: -76637*o**2 + o + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by 3.\nAnswer: 440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 10654174?\nAnswer: 10654172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 1. Let i be c(-1). Suppose 4*x + i = v + 5*x, 0 = -5*v - 3*x + 20. Suppose y - 4*t = 3*y - 30, -5*t = v*y - 48. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*k, 5*j - 5*k - 18 = 12. Suppose j*m - 3 = 3*h, -4*h = 5*m - 8*h - 6. Sort m, 1, -1\/10 in descending order.\nAnswer: m, 1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5549, -5571, -5625, -5723, -5877, -6099, -6401, -6795?\nAnswer: -7293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 27 = -d. Let w = -7 - d. Suppose -w*n + 4 = -4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 3, e: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 88a5?\nAnswer: -88a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 4. Let y(k) be the second derivative of -k**4\/6 - 7*k**2\/2 + 5*k. Let f(n) = 7*u(n) - 4*y(n). Let m(d) = 6*d. Give f(m(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*q - 180*q + 1188720 = -256*q. Is 6605 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6311572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.5 + 225737?\nAnswer: 225856.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.9. Let l = h - -0.1. Let o be (3 - (-32)\/(-20)) + -1. Which is the third smallest value? (a) -2 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + d + 6 + 19 = 0, -4*f + d + 20 = 0. Suppose 4*v - 18 = 6*v - 5*l, -f*v + 2*l - 3 = 0. Solve 7*i + 27 = -v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**3\/3 + 5*c**2 - 2120*c. Let v(d) = -12*d. Give l(v(s)).\nAnswer: 24*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/2 + a**3\/6 + a**2\/2 + a. Let k be f(-1). Suppose 0 = -0*r + 2*r - k. Solve -x - 4 = -r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12486*m**3*y**3 + 5*m**2*y**3 - 3*m**2*y + 96*m**2 + m*y**3 wrt m.\nAnswer: 74916*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a**3 + 45\/4*a**4 + 0*a**2 - 42*a + 46. What is the first derivative of t(v) wrt v?\nAnswer: 135*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1452)\/110)\/((-14)\/10*100\/(-350))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + f**3 - f**3)*(3*f**2 - 2*f**2 - 5*f**2) + f**3 - f**3 + 6445*f**5 - 6258*f**5.\nAnswer: 195*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -f - 2*m, 3*f + 29*m - 13 = 34*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 12*d - 25. Calculate the remainder when f(22) is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 180 = -11*f + f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 3 - 7)*(2 - 2 - 2*b**4) + b**4 - 7*b**2 + 7*b**2 + (-3 + b + 3)*(-4*b**3 - b**3 + 0*b**3) to h*b**2 + u*b + c*b**3 + n + z*b**4 and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11434255 + 2?\nAnswer: -11434253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 339\/226*5\/(40\/(-1))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:50 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1\/15*k**3 + 0 + 2*k + 0*k**2 + 0*k**4 - 1\/50*k**5. Let q(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1728 - 1189. Let q = y + -539.1. Which is the nearest to 1? (a) 6 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.30000131 - -30.3. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:46 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 42*g = 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183 = -5*o + 6363. Is 4 a factor of (-2)\/(-13) + o\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4559023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:33 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211 is divided by (-1 - 1)*105\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 65. Let f be w(11). Let v = 97 + -1260\/13. Which is bigger: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnb when four letters picked without replacement from {n: 3, b: 4, j: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 4*f - 6*f + (4*f - 4*f - 3*f)*(-1 - 2 + 1) + f + 2*f - 5*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38932655 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75712 and 1326312.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26711*p**2 + 1882*p + 1560*p - 3442*p to the form s + x*p**2 + k*p and give x.\nAnswer: -26711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 + l**2)*(488 + 1244 - 400) + (3 - l - 3)*((2 + 0 - 4)*(-3 + 3 + 2*l) + l - 4*l + l).\nAnswer: 2670*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*j**2\/5 - 4194*j\/5 - 1288\/5.\nAnswer: -2*(j + 161)*(13*j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 67 = -17*q + 3*r, 3*q + 2*r - 25 = 0. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*w + 5*s = 155*w - 14, -2*w = 4*s + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/3 - 8*l\/3 - 14 = 0. Calculate l.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 5.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/3085 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 83*d**3 + 23*d**2 + 17*d. Let x(s) = -14*s**3 - 4*s**2 - 3*s. Suppose -858*u + 902*u - 264 = 0. Determine u*z(p) + 34*x(p).\nAnswer: 22*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 3*g + 14. Suppose 68 = -3*d + 53. Let o(j) = -5*j**2 + 4*j - 15. Give d*o(i) - 6*u(i).\nAnswer: i**2 - 2*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 + 9*a**2 - 8*a - 17. Let t(l) = -3*l**3 - 6*l**2 + 5*l + 11. Let w(d) = 5*o(d) + 8*t(d). What are the prime factors of w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4\/9 - 5024*y**3\/9 + 728216*y**2\/3 - 360194240*y\/9 + 13670014612\/9 = 0. Calculate y.\nAnswer: 53, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -15 + 119. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 9*b + 1. Let c(h) = h**2 + 10*h. Determine -3*c(p) - 4*d(p).\nAnswer: -7*p**2 + 6*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f**3 + 22*f**2 + 4*f + 7. Let h(v) = 7*v**3 - 15*v**2 - 3*v - 5. Let s(y) = -7*h(y) - 5*n(y). Let k be s(5). Solve -k = -2*b - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/25806 and -41\/65387712.\nAnswer: 719264832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 2 - 11 - 2)*(5*m**2 - m**2 + 0*m**2).\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u**2. Let g(z) be the third derivative of -z**4\/12 - 16*z**3\/3 - 2664*z**2. What is g(l(r))?\nAnswer: -42*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 k, and 1 c when four letters picked without replacement from kffcffkfkccfckfffcf.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 33*z**2 + 26*z**2 - 1 - z - 58*z**2. Determine p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100101111101110?\nAnswer: -100101111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -179 - 3?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2889.34 or 0.5?\nAnswer: -2889.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -21*y**5 + 118782*y**4 - 120078504*y**3 - 135440181840*y**2 - 27281053706256*y + 7805645914464 = 0.\nAnswer: -358, 2\/7, 3186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111100001 (base 2) to base 16.\nAnswer: 9e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 444353*q + 888707. What is a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-2)\/9 - 5850\/(-81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 6*f**2 + f**2 - f**2 + 4*f**2 - 4*f**2 - 2 + f**2 + 2 - 1 + 2*f**2 + 1 + (2 - 2*f - 2)*(f + f + 0*f) - 1 + 1 - f**2)*(0 + 1 - 4).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 339611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) 2\/3 (c) 55\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-260)\/135 - -2)*-357. Let j = o + 244\/9. Sort 5\/4, j, -2\/7, -5 in descending order.\nAnswer: 5\/4, j, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 - -125.786. Let z = q - -0.014. Let n = -2 - -2.5. Which is the closest to 1\/4? (a) z (b) -2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.19350796 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + 1.96. Let z = 0 - u. Let a = z - 2. What is the third smallest value in a, 0.1, 1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 + 2*t - 1. Let m be g(6). Let b = 14393 - 14392. Calculate the highest common factor of b and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.879929 in 5, 3, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/7))**(-43)*((c*c**(-1\/4))\/c)**(7\/3) assuming c is positive.\nAnswer: c**(-2629\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059931203 to 5 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 - -8.1. Let m = 13.15 - 13.1. Which is the smallest value? (a) h (b) m (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 4, 11 in ascending order.\nAnswer: -6, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358.63891 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlzd when four letters picked without replacement from {d: 1, h: 2, g: 1, v: 1, l: 1, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41362434.\nAnswer: 2, 3, 765971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0 (c) -879\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 324 = 3*t. Solve 3 + t = 4*d, 3*y - 12 = d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 71\/3. Let p = 387 - 388. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/45)\/(880\/66 + -14). Let a = -4\/21 + 29\/42. What is the smallest value in a, -1, l, -3\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4754 = -4*x - 4457, -x + 5513 = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 - -51494?\nAnswer: 51445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 3*r + 2. Let i be v(3). Let g = -1719 - -1726. Suppose -i - 8 = -g*p. Solve 0 = -4*c + p*t - 1 - 3, 0 = -2*t + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 133\/442 - 5\/34. Sort h, -16, -1\/4 in descending order.\nAnswer: h, -1\/4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k = 14*k + 10735794. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 5*h\/2 + 4.\nAnswer: (h + 2)*(h + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 13*j + 493 = 0. Solve -15*b = -j*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*h - 83491 = 3*h, 4*v - 111332 = -4*h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5217518.69 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.075? (a) -13 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2. Let y(r) = -3*r**2 + 5*r + 5. Let w(q) = 2*q**2 - 3*q - 3. Suppose -4*t - 15 - 5 = 0. Let o(i) = t*w(i) - 3*y(i). What is m(o(z))?\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205811 - 143408. What are the prime factors of o?\nAnswer: 3, 11, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.36 and 0.38.\nAnswer: -5.8368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.4 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z. Let u(r) be the third derivative of 0*r**4 + 1\/1344*r**8 + z + 1\/160*r**6 + 1\/240*r**5 - r**2 + 0*r + 0*r**3 + 1\/280*r**7. Factor u(t).\nAnswer: t**2*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 230\/2)\/(360\/3120)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.62*-3\nAnswer: 22.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 427, 6, 3 in descending order.\nAnswer: 427, 6, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 45500271.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9165 and 1704220?\nAnswer: 66464580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-245) + (-572)\/238 - (1 - 3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 + 96*t**3 - 1052*t**2 - 2400*t - 1250 = 0 for t.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s - 150 = 0. Let l be 57\/12 + 30\/(-40). Suppose l*r = 7*r - 270. Calculate the highest common factor of s and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4147 - -37.482.\nAnswer: 42.8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from zmmmkkmmkzmzz?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 7*l**3\/3 - 7*l**2\/2 - 2*l - 20. Let a(o) = 10*o**2 - 10*o - 3. Calculate -5*a(r) + 7*j(r).\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 21*s**2 + 20*s - 39. Let b be z(-22). What is the smallest value in 2\/7, -1\/3, b, 1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418023310 to the power of 1\/2, to the nearest integer?\nAnswer: 20446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6153706\nAnswer: 2\/3076853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 17. Let f be h(-10). Find the second derivative of -154*w**f + 154*w**3 - 5*w - 9*w**4 wrt w.\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1)*(4*q**3 - 2*q**3 + 2 + 14*q**3).\nAnswer: -48*q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1375 + 5f?\nAnswer: 13d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1722 and 3066?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.38 + 51.38. Sort -23, 15, g.\nAnswer: -23, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1045447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 + 7 = 0. Let m(h) = -259 + 43*h**g - h + 259. What is the tens digit of m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9*-1*(-369)\/(-123).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 4)\/((-1)\/5). Suppose 2*j - d = r, 0*r + 3*j - 27 = -5*r. Let l be 17\/7 - (5 - r). What is the nearest to -2\/3 in -0.4, 0.1, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 13. Let x = -0.14 + -0.16. Let k be (2\/4)\/(1*2\/3). Sort k, x, q in ascending order.\nAnswer: q, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 91, 288, 667, 1288, 2211, 3496?\nAnswer: 5203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 1704 + 1569 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126995 and 55?\nAnswer: 126995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 34) + (-2 - -23) + -26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613459?\nAnswer: 7, 11, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:30 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8))**(-9\/8)\/((u**20\/u)\/(u*u**(-22))) assuming u is positive.\nAnswer: u**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67704\/(-1890))\/(-62)*(-6)\/(-13).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -67, -71, -59, -25, 37, 133, 269?\n\"Answer: w**3 - w**2 - 18*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 115 = -4*o - 135, -3*o - 5*h - 23 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + 20021?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079754287 to the power of 1\/2, to the nearest integer?\nAnswer: 32860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223995*k**2*m**2*o**3 - k**2*m**2*o**2 + 2*k**2*m**2*o + k**2*m*o**3 + 4*k**2*m*o**2 + 187*k*m**2*o - 6*m**2 wrt o?\nAnswer: 1343970*k**2*m**2 + 6*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - 9. Let y = o - -34.5. What is y rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bc1 + 26fc9?\nAnswer: 27b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3, -5, 8\/7, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 762 - 760. Suppose 0 = 3*w + 5*m - 5178358 + 618333, -3*m + 3040015 = g*w. What is w rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 12*f**2 + 3*f + 23. Let u be r(10). Is 23 a factor of (-2)\/(-3) - u\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -176*f - 11962. Let p be m(-69). What is the highest common divisor of p and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2905, 11857, 26723, 47461, 74029?\n\"Answer: -7*i**3 + 2999*i**2 + 4*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26240474*l**4 - l**3 + 4*l**2 - 8304931 wrt l?\nAnswer: 629771376*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, g: 2, s: 3}. What is prob of sequence sggs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwdvwwmdw. Give prob of sequence dv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(175)*2 + (4*(sqrt(175) + -1))**2 + (sqrt(175) + sqrt(175) + (sqrt(175) + -1*sqrt(175))**2*2 + sqrt(175) - 4*(sqrt(175) + 1)).\nAnswer: -155*sqrt(7) + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67 - -2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001956059898 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 0, 2 in increasing order.\nAnswer: -10, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24487, 95057, 212675, 377341, 589055?\nAnswer: 847817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67160*t*z**2 - 2*t*z - 859*t - 1 wrt z?\nAnswer: -134320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2178 divided by 22.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 + a**3 + 2*a**2 - 2*a + 7. Let s be z(2). Solve 0 = 5*q - s - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 38220.2.\nAnswer: 7644.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdymyyymdmydmd. Give prob of picking 1 d and 1 y.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.461 - 0.079. Let q = 0.04 + r. Let n = 5.5 + q. Which is the biggest value? (a) -1 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 18*i**2 - 13*i + 15. Determine v(17).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 820*z + 9975. Give m(-832).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 4*g - 30. Let k be h(8). Let j(t) = -11*t**2 - 2 + 10*t**k - 3*t + 11*t. Give j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550*u + 12 = 556*u. Let n(x) be the first derivative of 1\/2*x**2 + 4 + u*x. What is n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826523584?\nAnswer: 2, 3, 4907159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.058911592 to three dps.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 848205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -856*c - 569224. Determine w(-665).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*d - 1\/3 + 1\/6*d**2.\nAnswer: (d - 2)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:57 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 3\/7, 8\/7, 86433, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5*m = 144. Suppose -6*g = 3*g - m. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 2*g + 2*g + 12*g - 12*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/242 and 53\/704.\nAnswer: 7744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 172*n**3\/3 + 87*n + 236. What is the derivative of c(o) wrt o?\nAnswer: 344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*y + 2 = 0, -2*u + 4*y = -5*u + 1. Let t = 2 + u. Let q be 35\/(-21) - (-4)\/6. Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2412, 17930, 60044, 142050, 277244, 478922, 760380, 1134914?\n\"Answer: 2216*y**3 + 2*y**2 + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = s - 77. Is 116\/3 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/119)\/((-117)\/156).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-15))\/((-32)\/(-40))*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 658 and 34780?\nAnswer: 243460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i + 78*i**3 - 61*i**3 - 13*i**3.\nAnswer: 4*i**3 + 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303780?\nAnswer: 2, 3, 5, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80960 = -5*k + 5*z, 5*z - 207651 = -8*k - 78115. List the prime factors of k.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/1)\/(5\/((-35)\/(-14))). Let l be 11\/4 + 1\/4. Solve 6*m - l = 3*z + 2*m, d = -2*z + 4*m + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 220\/(-35)) + 1865735\/35. Suppose 14*w - f = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-323)\/(-68) - 1\/(-4). Let f(q) = -q**3 + 4*q**2 + 4*q - 4. Let z be f(p). Let w = 54 - z. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (41 - 139) - (-16 + 2) - (6 + 2).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/1440*-90)\/(-6*1))\/((-24)\/(-9))\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**5\/12 - j**4\/12 + 2*j**3\/3 + 2*j**2 + 38. Calculate o(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 972517 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, s: 1, c: 6}. Give prob of sequence zc.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 9. Let d = 22 + -27. Calculate l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 2*t**2 + t - 2. Let z be p(-2). Let r be ((-448)\/70)\/((-12)\/30). Solve -8*g + z*g = r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -46*a**3 + 140*a**2 + 59*a - 217. Determine t(4).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373499427 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16036.9 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6918 divided by -3?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15799*h**3 + 597*h**2 - 261*h - 15775.\nAnswer: -94794*h + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(405) + -1 + sqrt(405)*-1 + 3))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 5, -1, 0.2, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 8*u + 7. Let y be j(6). Let q(h) = h - 8. Let a be q(11). Put a, y, -3 in descending order.\nAnswer: a, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 8*i + 10. Let b be u(7). Suppose 2*q + 66 = b*q. Let g = q - 25. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3.421 (b) 0.4 (c) -3.48 (d) 5 (e) 2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, r: 4, h: 7}. Give prob of picking 2 i.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 85 + 138 = 151 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2811179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-10\/7))\/(r\/(r**14*r))*r*r**(6\/11)*r**(-2\/21) assuming r is positive.\nAnswer: r**(3470\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-16) - (-110)\/(-176)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + y. Let j be m(0). Suppose -3*n + 69 = -j*n. Let h = 8281 - 8269. Calculate the remainder when n is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let w(o) = 5*o - 253 + 253. What is b(w(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4, -5, 5, -0.3516, -47\/2 in descending order.\nAnswer: 5, 4, 2\/3, -0.3516, -5, -47\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875595 is divided by 419?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3986, 31703, 106732, 252665, 493094, 851611?\n\"Answer: 3932*l**3 + 64*l**2 + l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 19. Let b = 15 + -10. Calculate the remainder when n is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1494 + -1494. Let c(r) = r**3 - 4. Let w be c(0). Sort b, -2, w in descending order.\nAnswer: b, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, i: 6, k: 2, x: 6, m: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1965*n + 19649. Give g(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 4. Let h = 7 - 1. Suppose 2*j + h = j. Calculate u(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 20*s - 14. Let o be x(-17). Let l = -5 + o. Suppose 4*p = 2*i - l - 16, -5*p - 4 = i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9858593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/12 + 13*z**4\/24 + 5*z**3\/6 + z**2. Suppose -4*l = -2*b + 11 + 9, -l = 0. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(-6)\/1650*(10545\/38)\/37?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 1. Let z(y) be the second derivative of y**3\/6 + y**2\/2 + 346*y - 8. What is -k(o) - 3*z(o)?\nAnswer: -7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 5*p - s, s = 5*p + 6*s - 380. Calculate the highest common factor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)\/o*o\/(o*o**(-5))*o*o**(-1\/69)*o**20\/((((o**(1\/4)\/o)\/o*o)\/o*o)\/o**(2\/15)) assuming o is positive.\nAnswer: o**(247133\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 173c (base 16) in base 11?\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35\/(-4 - 82\/(-20)) is divided by 87?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/10)\/(4\/(-20)). Let b be 2\/(n\/((-45)\/(-6))). Find the third derivative of -4*h**2 - h**5 + 0*h**b + 0*h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2897*y - 2903*y + 5806*y + 18*y**2 - 6. Let p(d) = 53*d**2 + 17*d - 17. Give 17*f(j) - 6*p(j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*((-3)\/(-3) + -27). What is the units digit of (260\/90)\/g + (-670)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*u - 2*b, -2*u = b - 8 + 2. Let k(v) = 2*v + 1. Let q be k(u). Is 1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 7:14 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-33)\/55 + (-1636)\/(-10) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 10. Let p be f(10). Calculate the highest common factor of 40 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 6020210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13982 - -13958. Let n(a) = -5*a - 95. Give n(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517818683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/87 (b) 37\/32 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101 + -1010001100000?\nAnswer: -1001110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine fifths of a week?\nAnswer: 98784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010030 - -1?\nAnswer: 1010031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 20201 and 20200 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3867 and -4315.\nAnswer: -16686105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80\/3 - 27. Let k = -1.3 - -0.3. What is the nearest to q in 0.3, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -17.\nAnswer: -44\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.352 times -1\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1196*d - 1239*d + 215 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.629*-5\nAnswer: 13.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/140 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 402.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)\/(w*w**(-9)*w))\/(w**(-1\/2))**(-5\/9) assuming w is positive.\nAnswer: w**(919\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = 3*m - 1838100000. What is m rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423905.\nAnswer: 5, 149, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -21*u**5 - 21*u**4 - 9*u**3 + 9*u - 9. Let k(t) = -5*t**5 - 5*t**4 - 2*t**3 + 2*t - 2. Let c(y) = -2*g(y) + 9*k(y). Factor c(h).\nAnswer: -3*h**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326.1137 litres to millilitres.\nAnswer: 326113.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47111?\nAnswer: 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3741 - 44893?\nAnswer: -41152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 9*i - 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - -23) + (0 - -81) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 31. Let a(c) = -c - 49. Let t be a(20). Let m = d - t. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 1747*l**2 + 765616*l + 2281152.\nAnswer: (l + 3)*(l + 872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 239\/7 smaller than 33\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 61 = 4*g + z, -g = -2*z - 17. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 238*i**3 - 2*i - 83*i**3 - 76*i**3 - 82*i**3 + 348 wrt i.\nAnswer: -9*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39081667?\nAnswer: 39081667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4170 divided by 1390?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 53*r - 5. Let z be (-20 - -4) + (5 - 1). Let l be (4 - (-68)\/z)*3. Let v be p(l). Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208785465 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 66462 + 66472 = -4*u, u = 3*w - 16 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 14. Let x be l(-13). Let i be 11\/44 + x\/6. Let p = -31\/4 + i. What is the closest to 2\/5 in -0.2, p, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + 2.13. Let u = -6 + m. Which is smaller: -0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -12516, 5, 229?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 478 = -0*k - 2*t, -5*t - 622 = -4*k. Suppose -f - 2*x = -k, 3*x = -4*f + 648 - 31. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 7. Let p(m) = m**2 + 4*m - 1. Let z be p(i). Let k be ((-160)\/z)\/(1*-1). What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 + 206. Let f be (8\/(-2))\/((-238)\/k). What is the biggest value in f, 0.3, -0.4, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18941*k + 3 - 18946*k + 1.\nAnswer: -5*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -69*r + 12. Determine b(-3).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 79.6. Let w = -19 + d. What is w rounded to 1 decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 4*m + 9*m + 12 - 184 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 3039369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815597 to the power of 1\/2, to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80.9 + -80.5. What is the closest to 2\/5 in -6\/7, -40, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 25*r - 41. What is z(26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1697 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687, 730, 767, 798, 823?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 3*h - 10*h)*(-2*h + 2*h**2 + 2*h) + 0*h**3 - h**3 + 3*h**3 + (-h + h + h**2)*(-2 + 2*h + 2).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 25. Let z be b(15). Let u = -3 - -5. Suppose 4*w = 5*w + u. What is the nearest to -1 in w, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**2 - 51*z**2 + 8*z**2 - 11*z - 15 - z**3 + 23*z**2. Let k be ((-1)\/2)\/(1\/16). What is b(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 120*z. Let q(j) = -320*j**2 + 75*j. Let b(y) = 17*y**2 - 4*y. Let w(p) = 75*b(p) + 4*q(p). Calculate k(w(d)).\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 901 + 1307. Is 108 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1275))\/sqrt(3)*-6.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - t - 57, -13*b - 3*t = -11*b - 33. Suppose -10*p + b = -7*p - 2*k, 4*p + k = 27. Solve 2*d + 9 = -2*d - q, -d + p = 3*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/120 + y**5\/20 - 7*y**4\/24 - 3*y**3\/2 + 3*y**2. Let i be b(-4). Which is bigger: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 1 x when three letters picked without replacement from {x: 1, e: 4, b: 4, q: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 5*h**2 + 3*h + 3. Calculate the remainder when ((-1068)\/(-22) - -2) + (-270)\/495 is divided by z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(252\/(-549)) + 16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110088 + -110088.1. Let n be 3\/(-44) + 3\/12. Which is the third biggest value? (a) 1 (b) z (c) n (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/(1*(-1)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(162) - sqrt(162)) + -2 + sqrt(242) + 1 + -4 + sqrt(242).\nAnswer: -14*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 7 + 8 - 4*a**2 to the form g*a + v + j*a**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 + 5*i + 8. Let b(x) = 7*x + 4*x**2 - 5 - 16*x + 6*x. Determine -8*b(a) - 5*c(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 + -2*6\/4. Suppose i = c - 0 - 13. Suppose -5*f + 18 = 3. Solve 0 = 2*s - c + f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r - 6. Let n(i) = -i**3 - 13*i**2 - i + 235. Let y be n(-11). What is o(y)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**3\/3 - 13*f**2 + 10*f. Let g be c(8). Let x = g - -10. Solve x = 5*s + 5*i - 5, 0*s + 4*i + 12 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 h when four letters picked without replacement from hhzhzhhzhhh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4059223, 8118430, 12177637?\nAnswer: 16236844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 108 = 5*z + 141, z = -3*v + 267. Suppose -v*l + 71*l + 1224 = 0. What is the greatest common divisor of 204 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 3, v: 1, r: 2, g: 1}. What is prob of picking 1 g, 1 v, and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m - 229 + 322 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 24\/(-14) + 38\/(-84)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 3*i + 3. Let d(b) = 4*b - 1. Let o be d(1). Let p be n(o). Is 69*(6 - 3)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*f + 29, -4*f + 20 = 3*v + 28. Let l(b) be the first derivative of 0*b + 12 + 3\/20*b**v + 3\/5*b**3 + 3\/5*b**2. Suppose l(d) = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 7, -3, 24, 0 in increasing order.\nAnswer: -15, -3, -2, 0, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 3 - 3)*(-423*m + 99*m**2 - 374*m**2 + 415*m)*(0*m - 3*m + 5*m).\nAnswer: -550*m**5 - 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 26297 + 59960 = -146398. What are the prime factors of t?\nAnswer: 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/7, -2\/13, -6\/37, 1\/12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/10)*t**(4\/13)*t\/t**(28\/5)*t**19\/t)**3 assuming t is positive.\nAnswer: t**(5697\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osy when three letters picked without replacement from ovyvtqs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 - -1981.3?\nAnswer: 1990.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*r**2 + 24*r**2 - 50*r - 9*r**2 + 20547 + 686*r + 30015.\nAnswer: 2*(r + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002539448 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -12*s**2 - 23*s - 48. Determine w(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + 2 + 97 - (47 + (3 - 39)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poppfjnpnp. What is prob of picking 1 o and 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100082442 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397334470*y**2 - 348848786*y.\nAnswer: -794668940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 65*b - 49*b + 2*r, 0 = 5*b - 4*r + 87 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Simplify (-2 + (1*sqrt(208)*2 - sqrt(208))*-4)**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 14000625.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/86 and -2\/1339.\nAnswer: 115154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 17*f**2\/12 - 3*f + 1\/3 = 0?\nAnswer: 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 + 4*u - 7. Let t be r(-6). Solve -3*c + 6 = -t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)\/(u*u**(2\/17))*(u\/((u\/(u\/u**(-2\/15)*u))\/u))\/u*u*u*u**(2\/5)*u)\/(u**(-5)\/(u**(-4)\/u)*(u*u**(-5)*u)\/u*(u**(2\/13)*u)\/u) assuming u is positive.\nAnswer: u**(86584\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 820542536 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9411.517 plus -0.01492?\nAnswer: 9411.50208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 292 = -386. Let c = -81 + s. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-16 - 4) - (4 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -17*i + 54*i + 150. Put -4, i, -81 in increasing order.\nAnswer: -81, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143415156 to the power of 1\/3, to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 9 = -8*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 81 = 4*w. Which is smaller: w or -198\/13?\nAnswer: -198\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 4 (c) -2 (d) 0.3 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/2)\/3*((7889\/9)\/49 - 29)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 310717.00768 + -310656. Let l = -90 - -151. Let a = w - l. Round a to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7979 - -24059. What is the greatest common divisor of 360 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26396904 divided by -40056\nAnswer: -659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/15 and 1\/21177.\nAnswer: 105885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-176)\/8360)\/(((-36)\/(-20))\/(-9)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5\/7 + 78*u**4\/7 + 6*u**3 - 40*u**2\/7 = 0.\nAnswer: -1, 0, 1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9263952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1667 + -12627.29307.\nAnswer: -10960.29307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 + 2*w - 1. Let g be i(1). Let l = -4 + g. Suppose 2*d + 2*t + 4 = t, l*t + 12 = 2*d. Solve 5 = 5*a - d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.0045 centuries in months?\nAnswer: 364805.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -14 - -2 - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*u + 81 = 35, 3*k = -2*u + 93. What is the second derivative of 5*j + k*j + 119*j**2 - 119*j**2 - 14*j**4 wrt j?\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -3.94. Let w = s - -3.9999996. Round w to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3))**25)**(-3\/5) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -9. Suppose 12 = m + 4. Let k be 2 + -5*m\/12. What is the third biggest value in k, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.814119 + -0.385986. Let n = a + 4.2. What is n rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = 1. Let h be (-3)\/(10\/8 + -2). Suppose i*k - 3 = h*k. Let o(t) = -3*t**2 + t. Calculate o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = 2*n - 7*n. Let u = 48 - n. Suppose 8*m - u = 15. Solve -h = -m*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -117?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34138 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Let y = -4 + 3. Let d = -10 - -9.7. What is the closest to y in g, d, 3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 8:01 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(2\/17)))\/p*p**(-2\/11))\/((p\/p**(-3\/10))\/(p**(-4\/5)*p)))**(-12) assuming p is positive.\nAnswer: p**(24282\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*t - 315*t + 1247*t - 308*t - 314*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 252*a - 3073. Calculate c(12).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/32*26\/(-4)*-20. Let w = 68 + p. Solve 3*x + 9 = -w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4\/f*f*f**(-7))\/((f\/(f\/(f**5\/f*f)))\/(f\/((((f\/(f**7*f*f*f))\/f)\/f)\/f))) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16709628?\nAnswer: 2, 3, 13, 43, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(2\/3)*x)**(3\/4))**(10\/3)*x**(1\/2)\/(x\/((x*x*x**1)\/x*x))*(x*x**(-1\/4)*x*x)**(2\/17) assuming x is positive.\nAnswer: x**(569\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {q: 1, i: 2, j: 4, t: 2, y: 1, z: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 496114, 992227, 1488340, 1984453, 2480566?\n\"Answer: 496113*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*q + 77 + 57 = -422. Suppose 3\/2 + 1\/2*w**2 - q*w = 0. Calculate w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -836, -1239, -1626, -1991?\nAnswer: -2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -3.02. Let m = -4 - h. Let o be (-5)\/20*16\/38. Which is the biggest value? (a) o (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 11 - 3, -5*n - 64 = -2*s. Let p be (-10)\/4 + 1\/(-8)*n. What is the third smallest value in p, -0.4, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*a + 3, 4*w + 9 = a - 2*a. Let x = w - -140. Let n = -18 + x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 277 - -1?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48091 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y + 15. Determine d(3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470934 is divided by 10943.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*6468\/(-392).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5ab29 - 179?\nAnswer: 5a970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 31*n - 5. Calculate the least common multiple of 9 and z(15).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111011 + 101?\nAnswer: 10010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 136\/1051487?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {j: 3, v: 2, a: 2, p: 3, w: 1, c: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {t: 5, s: 4, k: 2, h: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -7\/4*a**4 + 0*a + 7 - 1\/3*a**3 + 0*a**2. Find the third derivative of u(j) wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2788.1 - 2788. Let m be ((-2)\/(-6))\/(-1*3). Which is the nearest to n? (a) m (b) 1\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 + 27622250*d**2 + 552443500*d + 2762215000 = 0. Calculate d.\nAnswer: -5524430, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -1 (b) -13 (c) 0.1 (d) 1791 (e) 0.3 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -125*r**3 - 7*r**2 - 139*r + 7. Let d(u) = -72*u**3 - 4*u**2 - 70*u + 3. What is 7*d(l) - 4*o(l)?\nAnswer: -4*l**3 + 66*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129545 - -1347.\nAnswer: 130892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 1287390.\nAnswer: -1287390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z)**9)**(-36) assuming z is positive.\nAnswer: z**(-972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 934883?\nAnswer: -2804649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -5 (b) -1 (c) 1\/2 (d) 12\/5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(6)\/(3*sqrt(363) + sqrt(3)) - (sqrt(18) - -5*sqrt(288))\/(sqrt(144)*-2))**2.\nAnswer: 113569\/9248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*((sqrt(448) - (sqrt(448) + 3 + 5))**2 - (-1*(sqrt(28) + sqrt(28) + (sqrt(168)\/sqrt(6) - sqrt(28))))\/sqrt(4)).\nAnswer: -1600 - 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 + -105. Solve m + 4*m = -z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1789 = -32*g + 5501. Solve 0 = 118*c - g*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -50*h + 40. Let n be j(-2). What is the highest common divisor of 540 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1126 - -2312. Suppose 4*n - 154 = 4*c - x, -5*c - 2*n = -1304. Suppose -2*m + c = -6. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10482782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -4. Let k = d + 12. What is the remainder when 17 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(-4 - (-9)\/6). Suppose 5*u - 35 = 4*l, -u - l = -6*u + z. Suppose -760 = -u*x + 11*x. What is x rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277*n**3 + 103*n**3 + 134*n**3)*(-2*n - 1 + 1)*(-10 - 7 - 16).\nAnswer: -2640*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 145 = 88*q. Let r = 31 + q. Factor 2\/7*l**4 + 0*l**r - 4\/7*l - 2\/7 + 4\/7*l**3.\nAnswer: 2*(l - 1)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309708 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4)*(34 + -18). What are the prime factors of (g*-1)\/((-150)\/6800)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -392*f + 151416. Give t(386).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - 4*b = -149305, o = -2*b + 49769. Suppose -v - o = -0*v. Let y = 50233 - v. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 0.2 (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) -3.97 (c) 42042 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**3 - 19*u**3 - u**3 + (2*u**3 + 3*u**3 + 2*u - 2*u**3)*(0 - 2 + 0).\nAnswer: -32*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - 1 - (-1)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.38 in 29.4, 0.5, -46.6, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 5, p: 3, m: 5, e: 1}. Give prob of picking 1 m and 1 k.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 252 = 18*j. Let y be (-20)\/(-4) + (4 - (18 - 5)). Sort 6, y, j in descending order.\nAnswer: j, 6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + 0 + sqrt(245) - (2*sqrt(245)*6 + sqrt(245)))**2 + (sqrt(245) + sqrt(245) + 0)**2 + -1 + -4.\nAnswer: 504*sqrt(5) + 36259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18*a - 2 - 208*a.\nAnswer: -226*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 813786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2790.5.\nAnswer: 13952.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 65 = 35*d - 40*d, 3*d - 39 = 4*h. Suppose -5 = -3*k + d. Calculate the greatest common factor of 8 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 168*x**2 + 1372*x.\nAnswer: -4*x*(x - 49)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -21, 0.1, 8\/19, 19\/15?\nAnswer: 19\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4308 divide 548985672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76072591 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -11729\/519 and -55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14931\/8532)\/((-10)\/8*(-11)\/(-825))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 16*f - 1080, 2*j - 24554*f = 24553*f - 49104*f - 112 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 7*m + 6. Let j be r(8). Let u = j + -17. Is 19 a factor of u\/(-1) - (11 + -39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 3\/13 (b) 0.1 (c) 4 (d) 6 (e) -0.04 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 604959637 to the power of 1\/2, to the nearest integer?\nAnswer: 24596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 72?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + z + 39. Let g = 721 + -718. Suppose g*f + z = 4. Let w(b) = -b**3 - b**2 + 2*b - 4. Determine w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.09 (b) -1\/4 (c) -16\/9 (d) -0.5 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -6, 10\/9, -2\/21 in decreasing order.\nAnswer: 10\/9, -2\/21, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*g = -14539, 0 = -4*a + 4*g + 7471 + 4157. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230579 + 230579.2199912. Let j = c + -0.22. What is j rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11354.\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -65.000108. Round b to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*b**3 + 6871 + 413*b**3 - 840*b**3 - 6871.\nAnswer: -969*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -58869 divided by -6\nAnswer: 19623\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1119, 1611, 2103, 2595, 3087?\nAnswer: 3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -784.61926?\nAnswer: -772.61926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32534970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 12*z**2 + 5. Let a be v(12). Suppose d = q + 4*q + 6, 18 = -a*q - 2*d. Put 5, q, 2 in decreasing order.\nAnswer: 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:34 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/3)\/(-1) - -3. Do t and -1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 19.8. Put 1, 4, i in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169131423 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -u - 17. Suppose 3*i - 3*a = 6, 0 = -2*i + 15*a - 12*a. Suppose 5*n = 4*c - 16, 0 = c + 3*n - 4. Solve u*l + i = c*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -11. Suppose t*s = 14*s - 36. Suppose s*m = 5*m + 924. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202767, 202825, 202919, 203049?\nAnswer: 203215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*f - 59 = -1, 38 = m - 2*f. Suppose -5*r - m - 79 = 0. Which is bigger: -24 or r?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/120 - p**4\/4 + p**3\/3 - 19*p**2. Let m(r) = -r + 1. Give -h(q) + 4*m(q).\nAnswer: q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8335538 millennia?\nAnswer: 8.335538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*s + 135, -2*g + 33 + 1 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 18*i**3 - 48*i**2 - 32*i.\nAnswer: -2*i*(i + 1)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 656352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5782757*h - 1405779.\nAnswer: -5782757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - j + 135, 9*g - 5*g - 2*j + 182 = 0. Let t = 116 + g. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 + 7*v**2 - 119*v - 4. Determine l(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 47 - (1 - 1) - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3\/566, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Suppose -t + 18 = -0. Suppose 4*b + t = -0*j - 3*j, -j = -4*b + 6. Let m(o) = 5*o. Calculate j*m(p) - 33*c(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgr when three letters picked without replacement from {g: 3, b: 1, o: 1, r: 1, z: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106844 = 5*h + 2*b - 5*b, -2*h = 3*b - 42746. Suppose -5*v + h = -206630. Round v to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -9, 2*b = -3*t + 4*t + 7. Let l(q) = -17*q + 1. What are the prime factors of l(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3e5?\nAnswer: -3e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/((-1)\/(-13)). Let v = -8 + w. Solve 0 = 4*n + 2*z - 10, z - 5*z - 45 = -v*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000638 to five decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:08 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (0 + 2\/8). Let j = -4 - -2. Let g be j - (-2 + 2\/(-8)). What is the nearest to u in -3, g, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 118*d - 91*d - 132 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*g + 0*g + 8 = 0, -2*l + 8 = -5*g. Let p = 13 + 7. Suppose 2*t + l = p. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b. Let h = -45 + 48. Suppose -2*l + 22 = 4*w, 3*w - h*l + 1 = 4. Solve 0 = w*n - 4 - b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 8*q - 2. Let o(n) = 4*n**2 + 9*n - 1. Let x(m) = -6*f(m) + 4*o(m). Let t be x(-6). Is t*(-4 + (-143)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 270*z - 1601. What is the remainder when 639 is divided by c(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41980753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-111)\/(-45))\/((-4)\/18) and 1358\/(-72) - (8\/(-18))\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35630511*o**4 - 2*o + 119514255.\nAnswer: 427566132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11584.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -198, -794, -2024, -4116, -7298, -11798?\nAnswer: -17844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2d756 (base 14) to base 15\nAnswer: 23b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhhhhhhhhhhh. What is prob of sequence hh?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/5 - 826*h**4\/5 + 50994*h**3\/5 - 279046*h**2\/5 + 130172*h\/5 + 92208 = 0. What is h?\nAnswer: -1, 2, 5, 68, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 5, 41, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(4\/15)\/i)\/(i\/(i\/i**(-26))))\/(((i**(-1\/12)\/i)\/i)\/(i**(-16)\/i)))**(7\/4) assuming i is positive.\nAnswer: i**(1449\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -186499610 to the nearest one hundred thousand.\nAnswer: -186500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13655494 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*(-1*sqrt(99) - sqrt(99)))\/sqrt(9) - 4*-3*1*sqrt(11)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 932.\nAnswer: 931.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310811, 310908, 311055, 311276, 311595?\nAnswer: 312036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**4 - r**3 - r**2 + 1. Let v = 22 - 19. Let k(h) = 5*h**3 - 2*h**v + 4*h**3 - 4*h**3 - 6 + 9*h**2. Let a(t) = -k(t) - 3*l(t). Factor a(j).\nAnswer: 3*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 34*p + 14. Suppose 6*h = -9*h - 420. Let c(w) = 7*w + 3. Calculate h*c(z) + 6*f(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -3*p**4\/4 + 5*p**3\/2 + 3*p**2 - 9*p\/2 - 13. Determine i, given that d(i) = 0.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196523106, -2, 4.\nAnswer: -2, 4, 196523106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 168 * -0.13937\nAnswer: -23.41416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1921, -6560, -19153, -43678, -84113?\n\"Answer: -663*d**3 + d**2 - d - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 70*q + 73. Is o(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(-3*sqrt(110)*-2*-3)\/(6*((sqrt(1440) - sqrt(1440)*-1) + sqrt(1440)) - sqrt(1440))*-5.\nAnswer: -5 - 15*sqrt(11)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:39 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -738c3?\nAnswer: 738c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -535000736?\nAnswer: 535000731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 76752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/4 + 77*c**4\/3 - 369*c**2\/2 + 8*c + 40. Differentiate r(t) with respect to t.\nAnswer: -15*t**2 + 616*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -536 - -755. List the prime factors of v.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9406, 18940, 28604, 38398, 48322, 58376?\n\"Answer: 65*l**2 + 9339*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -7)*1\/(-2). Solve -2*q - 2 - 4 = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/22725 and 77\/17550.\nAnswer: 1772550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 12. Let o be x(9). Suppose -3*g - 9 = 0, o*b + 6 - 3 = g. Let n = -1.2 + 1. Put b, -0.3, n in ascending order.\nAnswer: b, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.825 - 180.025. Let g = 406 + u. Round g to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7220*x**5 - 36*x + 4.\nAnswer: -144400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*j + 6*j = 1745, 7015 = 4*z + j. Suppose -5*l + 1159 = 2*r, 0*l = 3*r + 2*l - z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166296 divided by -2.\nAnswer: 83148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 16366, 10, 9 in descending order.\nAnswer: 16366, 10, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 325. Let c = -194 - i. Let n(z) = z**2 - 132*z + 1 + c*z. Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1281, 2563, 3845, 5127, 6409, 7691?\nAnswer: 8973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 2759?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.91 take away -681?\nAnswer: 677.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55068 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4318*d**2. Let n(f) = -21*f - 1. Determine n(b(a)).\nAnswer: -90678*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -10, -4, 5, 2, -21 in increasing order.\nAnswer: -21, -12, -10, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*w**4 - 36*w**2 - 307*w.\nAnswer: 312*w**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.52 and -18317.\nAnswer: -18317.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 4*m - 1. Let j be z(3). Let l = 23647.6 - 23648.6. What is the smallest value in l, j, 0.5, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0920867 decades?\nAnswer: 11.050404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 18\/8)*-12. Suppose 0 = 3*z - z - 4. Solve q = z*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, x: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 356 - 353. Which is the smallest value? (a) -3 (b) t (c) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f - 24 - 8\/9*f**2 - 2\/27*f**3. Determine c, given that i(c) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 105?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -243\/7, 1\/6 in ascending order.\nAnswer: -243\/7, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4987, 19960, 44979, 80098, 125371, 180852, 246595, 322654?\n\"Answer: 9*x**3 + 4969*x**2 + 3*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-81))\/((-2)\/(-24)))\/((272\/578)\/4)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a**3 + 7*a**2 + 37*a + 18. What is the ten thousands digit of h(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10055 and 48264.\nAnswer: 241320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525851 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiaaiaiaiiiiiaaiai. What is prob of picking 2 a and 2 i?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 4. Let j be s(5). Let u = 0.479 + -0.479. Which is the closest to 0? (a) -2\/5 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - 4*s)*(9*s**2 - 2*s**2 - 2*s**2 + (0*s + s + 0*s)*(4 - 4 - 10*s))*(-30*s - 4*s + 5*s).\nAnswer: -145*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420431?\nAnswer: 11, 37, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 7*g = -60. Let x(r) = -30*r + g*r + 14*r. Let d(j) = 35*j**2. Calculate x(d(z)).\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.444 + -27.3419. Let o = h + -2.1. Round o to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/10 - 7*v**4\/24 - 5*v**2 - 7. Let o(d) be the second derivative of z(d). Find the second derivative of o(q) wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -23, -5\/2 in ascending order.\nAnswer: -23, -5\/2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 960.\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (246000\/30)\/(-40)*((-16)\/(-10))\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97123673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 4041212, -0.1, 2 in ascending order.\nAnswer: -0.1, 2, 5\/2, 4041212","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-6))\/(-5)*6\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x - 6 = 0. Let q be 18*14\/105*5\/2. Suppose -q*v + 15 = -27. Solve 3*d + 4*p - 3*p = -11, d + x*p = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -814776, -1629521, -2444232, -3258909, -4073552?\n\"Answer: 17*t**2 - 814796*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-675)\/(-45) + (3 - 9) - 39.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 56660 (c) -1\/7 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b - 20. Solve g + s - 5 = 0, -g + 4*g = 5*s + b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 - -216. Suppose 0 = 2*z - 4*c - 119 - l, -3*z - 2*c = -374. Calculate the highest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**7\/210 + 104*h**5\/5 - 41*h**4\/12 + 16*h**3\/3 + h**2 - 4610*h. Find the second derivative of q(z) wrt z.\nAnswer: 12*z**2 + 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570256453 to the power of 1\/2, to the nearest integer?\nAnswer: 39626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k. Let x be i(3). Calculate the greatest common factor of x and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*f - 326*a**4*y**3 + 6*a**2*f*y**3 - a**2*f*y**2 - 97*a**2*f*y wrt a.\nAnswer: 24*a*f - 7824*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from dxrttrrtjxjt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/3 + -2 + -1. Suppose -27 = -5*b + h*b. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90+0.78\nAnswer: -89.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91.25 - 363.25. Which is the nearest to 0.3? (a) k (b) 1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 + 2*m - 2*m)*(-626*m**2 - 6*m + 44*m + 623*m**2)*(-3 - 2 + 1) to z*m**3 + r*m**4 + t*m + o*m**2 + l and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-4 - -6 - (1 + 4)) + 1300 + -1289?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 95*p + 1650.\nAnswer: -5*(p - 30)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c - 2. Let u be q(0). Suppose -3*z + 3*r - 333 = 0, -z - 2*r - 2*r = 116. List the prime factors of (u\/1)\/(8\/z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12443414 - -22?\nAnswer: 12443441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 2, -1.3095?\nAnswer: -1.3095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/5)\/(p\/(p\/(p\/(p*p**(-1\/8)*p*p)))) assuming p is positive.\nAnswer: p**(91\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/3 - (-3)\/9. Suppose -3*b = 12, u*p - 2 = -0*p - b. Suppose -p*f + 10 = l, 3*l - 3 = -18. Solve -f*k = -t - 6, k + 0*t = -3*t - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 6*z + 12. Suppose -20*n - 92 = 48. Determine a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -10*w - 16. Solve -2*r - 9 = r - a, -w*r - a = 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -312*y - 2550. Calculate o(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960\/7*i**3 - 800\/7 + 1320\/7*i + 100\/7*i**4 + 2068\/7*i**2 = 0.\nAnswer: -4\/5, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -119*r - 221. Determine v(-3).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + 21\/(-5))*(-620)\/(-12). Suppose -t = -7*j - 30. What is the remainder when 124 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 15, k: 3}. What is prob of picking 2 k and 2 q?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and (18459\/861 - 20)\/(2\/1)?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14462)\/(-10941) - 8\/6. Let x = 28673\/1563 + c. What is the common denominator of x and ((-298)\/(-8))\/((-27)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28734.17 + 28466. Let w = -270 - o. What is w rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20262 by 1842.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4753220*h**2 + 236*h + 542 wrt h?\nAnswer: -9506440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 5:40 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 1, q: 5}. Give prob of sequence qq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 1 = -8*w - 285, 0*w - 1557*p + 1554*p - 108 = 3*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awv when three letters picked without replacement from {v: 1, w: 14, a: 2, l: 2}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*g - 2095 + 2147 = 0, 3*d - 4*g - 84 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 176 = h, 35137 = -2*a + h + 35157 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/60*r**4 - 5*r + 1\/10*r**3 + 0 - 1\/5*r**2. Let w(h) = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75574297 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880\/35 + (-4)\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -495 + 494.6. Which is the nearest to 0.1? (a) -0.3 (b) r (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 100\/63 (b) -6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 139888?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 56081475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p - 7. Determine h(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160889 is divided by 160882.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + 5*(-5 + -1*sqrt(700)) + 5)*-5)**2.\nAnswer: 47500*sqrt(7) + 446525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12*-3)\/((-321)\/1070).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*p - 3*o - 307, 5*o = -25. Suppose -2*z + 58 = -3*r, 4*r - 7*r - p = -5*z. What is the remainder when z is divided by (3\/30*-4)\/(5\/200*-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/13)*c**(-4))\/(c*c**(2\/5)*c)**(-9) assuming c is positive.\nAnswer: c**(1219\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3140.5 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5788 is divided by 1616.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12342 + 12344. What is the smallest value in 1, -1, t, -0.1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1001109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-5)\/(-30) - 256\/(-6). Let g(u) = -43*u**2 + 86*u**2 - c*u**2. Let l(q) = -3*q**2. Calculate g(l(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 - l - 3. Let g(f) be the third derivative of -f**5\/4 + f**4\/12 + 5*f**3\/6 - 279*f**2. What is 5*c(h) + 3*g(h)?\nAnswer: -5*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1012703 divided by -2\nAnswer: -1012703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -0*c. Let f(w) = 12*w**2 + 0 + 0 + 11*w**c. Let a(p) be the third derivative of p**5\/60 + 90*p**2. Give a(f(z)).\nAnswer: 529*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1)**2 - (-5*sqrt(3) + 3).\nAnswer: -13*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i)**(-2\/13)*(i*i\/(i*i*i\/(i\/((i**(3\/7)\/i)\/i)))*i)**(2\/131) assuming i is positive.\nAnswer: i**(3687\/23842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41296*-1.\nAnswer: -0.41296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1540 - 348 = 4*a. Let c(m) = -298 + 2*m**2 + m**2 + a. Let r(x) = 18*x**2. Calculate r(c(t)).\nAnswer: 162*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 131022211?\nAnswer: 131022130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -6*g**6 + 12*g**5\/5 + 5*g**4 + 4*g**3\/3 - 45. Solve b(j) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - (-11 + -2 - (-195 + 190))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 100*q - 12. Let n(r) = -64*r + 8. Determine -5*h(l) - 8*n(l).\nAnswer: 12*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 7*a + y - 5, -3*y + 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 15*h**2 + 19*h + 1. Let r be n(16). Let s = 66 - r. Solve 5*j - j - 5*f - s = 0, -2*j + 5*f = -11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18015 and 52509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -394?\nAnswer: 1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 3*u**2 + 3*u. Let r be x(2). Let s(h) = 0*h**2 + 2*h**r - h**2. Let b(c) = -c**2. Calculate b(s(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145973251?\nAnswer: 37, 463, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.93991ns in minutes?\nAnswer: 0.0000000026489985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 2, l: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-303)\/(-9) + -5)*(-42)\/4. Let n = -298 - g. Let p be (0 + 2 + 3)*1. Solve p*m = -n*t - 22 - 4, -4*t = -m + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from onvpoojjjpojijo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 260 = -37*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16)**(-1\/17) assuming m is positive.\nAnswer: m**(-16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*x = 574*x - 5*b - 62, 3*x + b = -18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*x - 51 + 103 - 54.\nAnswer: 315*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2139*f + 25680. Calculate s(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*s**3 + 516*s**4 - 83*s**3 + 2 - 75*s**2 + 76*s**2 to the form x + d*s**2 + j*s**4 + p*s**3 + i*s and give j.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085624 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 389 - 210 - 215 = 3*m - 0*r, m + 15 = 4*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/16531073 and -53\/9802?\nAnswer: 33062146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 19826.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(200) - (sqrt(200) + -1)*-3) + ((sqrt(200) + -1)*-6 - sqrt(200)) + -1))**2.\nAnswer: -1920*sqrt(2) + 28864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 9) to base 10\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 8*d + d**2 + 7*d - 2*d to t + j*d + h*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f)*(-3 + 0 + 4)*(1 - 5 + 3)*(-7 + 0 + 2).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2570 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 4*p. Suppose -3*f = 4*y - 2*y - 34, -59 = -5*f - y. Suppose 0 = -4*i + i + f. Let r be (i\/2 - 2) + 4. Calculate o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 5*k**2 + 3*k + 1. Suppose -2*z + 28 = -4*m, 4*z = 4*m + 31 + 5. Let v = m + 2. Calculate the remainder when 18 is divided by a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 7*p - 14*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-25))\/((-272)\/(-2380))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37605 is divided by 561.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3831 - -30687\/8. What is the common denominator of -89\/2 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 1 - 10. Let t = a + 15. What are the prime factors of -2*t\/(24\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.5, -10\/7, -639, -1, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17377 + 24498. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqoqoqqqooqofq. What is prob of picking 1 f and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 39 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-1650)*1342\/(-5124)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3 + 5*o + o - 5*o**2 - 10*o**2 + 8*o**3 = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 10*r + 12*r. Let x(i) = -10*i + 86. Let y be x(4). Let q(s) = -49*s**2 - y*s**2 + 134*s**2 - 40*s**2. Determine q(m(p)).\nAnswer: -441*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, -1717\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 4*m = -27*y + 3 - 13, 5*y = 6*m - 54 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4028771039.\nAnswer: 19, 212040581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13662228?\nAnswer: 2, 3, 1138519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -j - 1. Let k = 27 + j. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 13. What is the units digit of k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 + 164. Which is the third smallest value? (a) -1 (b) j (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 d when three letters picked without replacement from {n: 6, t: 3, d: 4, z: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27571*d**2*h**3*k**2 - 5*d**2*h**2*k + 18*d**2*h + 3*d*h**3*k**3 + 96*d*h*k + 12*d*k**3 wrt h?\nAnswer: 165426*d**2*k**2 + 18*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/22 and 29\/24*-2*2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 8*t**2 - 3*t - 24. Let i be o(-8). Suppose -12 + i = -3*u. Let m = -9 + 9. Solve m = 2*v - u*p + 20, 2*p = 4*v - 0*p + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*r + 11093 = -2591, 2*l + 4*r - 13682 = 0. List the prime factors of l.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 142 = -4*k, 2*k - q = 4*q + 65. Suppose -27*t - 29896 = -k*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 7. Let v = 1.6478 + 7.3522. What is the nearest to u in v, -5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -96. Which is smaller: 61 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 4 + -2 + -2. Let g = 3 - d. Suppose -g*j - j = -30. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2342 - 304 - 4935)*(x + 1 - 1 + (0 - 1 + 3)*(0*x + 0*x - 2*x) - 2*x + 4*x - 4*x - 4*x + 3*x - x).\nAnswer: 20279*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -662*c - 5291. Determine v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4. Let c be w(0). Calculate the highest common divisor of 16 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50262286?\nAnswer: 2, 137, 183439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -22.\nAnswer: 35\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 390180.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 0*p**4 - 1\/2*p**2 + 1\/3*p**6 - 2 + 0*p + 0*p**5 + 0*p**3. What is the second derivative of q(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 33 = 3*d + 60, 0 = 3*b - d - 16. Solve b*o - 8*o = 0, -3*u + o - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245539\/9 less than or equal to 27281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**4\/12 - 13*b**3\/6 + 3*b**2\/2 + 5*b. Let s be w(-9). Let q = -25 + s. Solve 2*o - q = -0*o - 4*t, -5*o + 11 = 4*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) + 20\/15 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4148.\nAnswer: 8296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*w + 4*k + k, 2*k + 6 = 0. Let y = -6 + w. Suppose -y = -t - 2. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102211000 (base 3) to base 6.\nAnswer: 103513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291949463 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 881163.\nAnswer: 881159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose -3*h + 2*m + n*m = 8, 2*h = -3*m + 6. Suppose -4 + h = -2*w. Which is the biggest value? (a) -5 (b) w (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100846*n*s**3*y - 1061*n*s**2 + 41*n*s*y + 3*n*y + 1409*s**3*y + 2*s**2*y + 4*s wrt s?\nAnswer: -605076*n*y + 8454*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 49. Let c be 2670\/(-135) - 2\/9. List the prime factors of x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650574 is divided by 217.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433104 is divided by 72.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*g = 3, 3*g + 7748 = -2*u + 7744 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81190 is divided by 700.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = -6*w + 5*g, 2*g = 2. Let y = 79 - 54. Let p = y - 25.1. What is the closest to 0 in w, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + (-8 - -8) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 6*w**2 + 2*w - 12. Let g be h(-5). Suppose 5*o + 15 = 5*t, 6*o - 2*t + 6 = o. Solve -g*u + 15 = -o*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 3\/4 (b) 3\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408 - 2*w**3 - 412 + w**3 + 23*w**2 + 4*w**3 to q*w**2 + h*w**3 + r + n*w and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1394382 and 9768?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -481b7?\nAnswer: -481b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7800b (base 12) in base 5?\nAnswer: -1220134024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2145*d**3*n**3 + d**3 + d**2*n**3 + 135*d**2*n**2 - 43*d*n**3 wrt d.\nAnswer: -12870*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-554)\/70)\/((-42)\/245*7)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, c: 6, l: 3}. What is prob of picking 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1900)*2 + -3))**2 - ((0 + sqrt(1900))**2*2 + sqrt(1900) - 4*(sqrt(1900)*2 - sqrt(1900))).\nAnswer: -1890*sqrt(19) + 117944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -29. Suppose w*k = -277 - 283. Let a = 171 + k. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 - 3*x + 3. Let s(l) be the second derivative of 5*l**4\/12 - l**3\/3 + l**2 + 7*l. What is 3*f(h) - 5*s(h)?\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4*s + 9. Let l be x(7). Which is greater: l or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let x be o(2). Solve -3*m - 15 = -3*s, -4*s + x - 5 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2562, -2571, -2592, -2631, -2694, -2787, -2916?\n\"Answer: -f**3 - 2*f - 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/2 + 11913*i**3\/2 - 5922240*i**2 + 17713152*i.\nAnswer: -3*i*(i - 1984)**2*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-25) - (-1 + 1). Suppose 25*k - 21*k - 1348 = r. What are the prime factors of k?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 58*t**2 + 0*t**3 + 7\/4*t**4 + 12 + 2*t. What is the first derivative of j(v) wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c - 1042115 + 1042116 - 80*c.\nAnswer: -55*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i**2 - 2*i**2 - 2*i**2)*(-i - i + i) + 2*i**3 + 2 - 2 - 3*i**3 - 4*i**3 - 2*i**3)*(-6*i - 2*i - 16*i).\nAnswer: 144*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 4*m - 726 + 690, 4*p = 3*m - 82 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6 and -67\/122586?\nAnswer: 122586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0 (b) 4 (c) -38\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10881 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 - 92245146*x**2\/5 + 141819467791716*x - 283638861787320.\nAnswer: 3*(x - 15374190)**2*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2686 and 6309126598?\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23145927 is divided by 2229?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/11 + 8*z**3\/11 + 52*z**2\/11 - 120*z\/11 - 450\/11.\nAnswer: -2*(z - 5)**2*(z + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2855807 to the power of 1\/2, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 581.04 - 32.84. Let j = m - 641. Let i = j + 93. What is the closest to 7 in i, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -0. Let o be 2\/(1 + y)*-1. Let l = -714\/55 + 64\/5. Are o and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-3 + 3 + w) + (-1 + 6 - 3)*(2*w + 0*w - 3*w) + 13 - 13 - 9*w + 4*w + w + 5*w + (-3 - 2 + 4)*(-5*w + 9 - 9).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/272 in 3, -4, -3.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.262336ml in litres?\nAnswer: 0.002262336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1405\/8 (b) 8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**9\/504 + 2*o**8\/21 - o**5\/20 - o**4 + 163*o**2. What is the third derivative of h(k) wrt k?\nAnswer: -120*k**3 + 1920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20237551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/1440 - 2532\/90.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 107 = -19*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235036277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 7. Let x be (7 - (-2 + 5)) + -6. Let c be k(x). Suppose -h + 5*h - 140 = 0. Solve -c*d = -10 + h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/5 + 62782542*y\/5 - 328470631665147\/5 = 0. Calculate y.\nAnswer: 10463757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 5*m)*(1 - 1 + 2) - m - m + m - 22*m + 34*m + 57*m + 7*m.\nAnswer: 71*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(sqrt(700)*1 + -3 - ((-2*((sqrt(7) - sqrt(63)) + sqrt(7)))**2 + (sqrt(7) + 1)*3)).\nAnswer: -612 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.719828 months to decades.\nAnswer: 0.2143319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 1237*g**4\/2 + 2*g**3\/3 - 2520*g - 1158. What is the derivative of w(p) wrt p?\nAnswer: 7422*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 3*(-1 + -1). Let y(b) = -b**3 + 7*b**2 + b - 2. Let o be y(n). Solve 0 = -4*w - 3*i + 23, 3 = o*i - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + 0 + sqrt(1008) + (0 + sqrt(1008) + -5)**2 + (5*(-1 + sqrt(1008) + (sqrt(1008)*-1 - sqrt(1008)) + -5 + -1 + sqrt(1008)))**2.\nAnswer: -108*sqrt(7) + 2257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-2*n + 5*n + 5*n) - 7 - 2*n + 14 - 9.\nAnswer: -18*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 20. Let p be v(5). Suppose -12*z = -p*z - 130. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2445*d + 118*d + 47053 + 141739 - 4256 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 5*b + 2. Let c be x(2). Suppose c*a + 3*a = 111. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 2. Let k be f(-4). Suppose -5*g = -3*w - 2*w - k, -14 = 3*g + 2*w. Which is the smallest value? (a) g (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6905032 kilograms to milligrams.\nAnswer: 690503.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 896629, 1793262, 2689901, 3586546, 4483197, 5379854, 6276517?\n\"Answer: 3*x**2 + 896624*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 73*l**2 + 38*l - 303. Give h(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88241.\nAnswer: 88241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 + 418 = -2*v. What are the prime factors of v?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(48) - 3*(sqrt(17) + 1)**2.\nAnswer: -54 - 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -128, -181, -234?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 107270\nAnswer: -1\/21454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.2, 7, -4, -417?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*k = -4*q + 9, -3*q + 9 = k. Let f(i) = 1 + q - 2*i - 2. Does 3 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17775671 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 18. Let a be ((-4)\/(-6))\/(4\/18). What is the units digit of a*-1*8\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38\/351, 1\/2, 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1582\/39 - -112\/3. Let x = p + 688\/221. Sort x, -0.5, -2\/5 in decreasing order.\nAnswer: x, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 + 235. Let h = 7\/6 - 5\/6. What is the closest to q in 0.01, -3, h?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1112\/54807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3686, 3683, 3678, 3671?\n\"Answer: -s**2 + 3687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 115806*o - o**2 - 3 - 12 - 115813*o. Give b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 8*c - 18. Determine z(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d**4 + 2\/3*d**3 + 0*d**2 + 6 + 0*d - 7\/5*d**5. What is the third derivative of u(f) wrt f?\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -75 - -6 - -37.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Suppose 0 = -k - 25651 + 25665. Let r(a) = -6*a. What is k*d(x) + 2*r(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1592 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 247610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111 - -2100212?\nAnswer: 2010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -37. Let u(g) = -2*g**2 - 35*g + 9. Is 13 a factor of u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -3, 0, 1, -3269, 3.\nAnswer: -3269, -56, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.96886 - -0.03114. Which is the nearest to 5? (a) 0.3 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-1)\/4)*(-506)\/(-33). Let c = r + -10\/3. Let h = -1 - -1. Are c and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/20)\/(-2))\/((-4)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1900) - (0 + sqrt(1900))) + sqrt(1900) + 5 - -1*sqrt(1900)*-4)*-2)**2.\nAnswer: -4800*sqrt(19) + 274000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112221460 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 3*p - 10. Let v be j(9). Let y = v + -189. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -874097 + 1573?\nAnswer: -872524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*o + 30, -4*o = 4*l - 0*o - 8. Let d(g) = 5*g**3 + g**2 - g - 3. Is d(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a4 (base 11) to base 4.\nAnswer: 102303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 32*f**2 + 18*f - 506. Calculate u(-33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1252?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**3*x*x)\/x)\/(x*x**(-1\/6)))\/(x**(-2\/3))**(-12))\/((x\/x**1*x)**(5\/8)*(x\/(x*x\/x**0*x))\/(x*x**(-6))) assuming x is positive.\nAnswer: x**(-179\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*q + 2*y, 38*q + 26 = 33*q + 2*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73.54, -2\/13, 0, -1, -101 in ascending order.\nAnswer: -101, -73.54, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7 = -29. Let u(k) = -k**3 - 12*k**2 + k + 6. Let i be u(-12). Let p be ((-80)\/i)\/((-6)\/a). What is the highest common factor of 80 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ca6 + 128?\nAnswer: 1dce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1003 divide 391797592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 20 = 0, -182*q - 8 = 2*w - 99*q - 88*q - 9 + 99 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152*13\/(-1196))\/(24\/276).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 11 = 3*j, 2*p - j = -2*j + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - x. Let q(t) = 3*t - 1. Determine -2*p(y) - q(y).\nAnswer: 4*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -410836214.89805 and 10?\nAnswer: 410836224.89805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 6, -2, -0.25, -7 in decreasing order.\nAnswer: 6, 3\/5, -0.25, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1853*i = -1852*i - 2, -12*u = -i + 68 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 22635870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 115\/9 + (0 - 1). Let z = 19 - 31. Let p = z + v. What is the nearest to -1 in 3, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 110*c = 834*c - 95687 for c.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9298 is divided by 137.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let s(b) = 2*b - 11. Let z be s(10). Let c = z + -7. Let i(x) = -c*x - x + x. Calculate i(t(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k**5 - 110*k**4 - 660*k**3 - 520*k**2 + 320*k = 0 for k.\nAnswer: -2, 0, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a - 6. Let u be r(-4). Solve 0 = 2*m + u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 6*q + 320 = -q, -2*q + 192 = 3*m. Suppose 4*z - 3*z - 35 = 4*v, -5*v - m = -2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -16347?\nAnswer: -7\/5449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.04 - 0.04. Let t = 46416.4 + -46416. Put t, f, 0.05 in increasing order.\nAnswer: 0.05, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -129, -206, -301, -420, -569, -754, -981?\n\"Answer: -w**3 - 58*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * -263.\nAnswer: 35242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289*g + 125*g - 248*g + 66*g**3 wrt g?\nAnswer: 396*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9249548 divided by 649.\nAnswer: 14252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -90. Calculate the smallest common multiple of 50 and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j - 181 = 12*j + 143 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3913 or 3929?\nAnswer: 3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30 = -3*y, 3*r + 3*y - 41 - 13 = 0. What is the third derivative of -98*v**2 - 9*v**6 + 102*v**2 - r*v**6 wrt v?\nAnswer: -2760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875218153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -5\/482, -3, -0.2 in decreasing order.\nAnswer: -5\/482, -0.2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((20\/6)\/5)\/(8\/(-12)). Put -5, r, 1, 0 in ascending order.\nAnswer: -5, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**30*m)\/(m**26*m) assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = -1. Let f be i\/(-3) - (-16)\/6. Suppose -20 = 3*r - f*j + 7*j, 5*r = j + 4. Let t(h) = h + 7. Determine t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, h: 4, l: 1, x: 3, f: 1, r: 6}. Give prob of picking 2 x.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 342*k**3 + k**2 - 181*k**4 + 409*k**4 - 230*k**4 + (-3*k**4 - 3*k**4 + 4*k**4)*(1 + 0 + 0) as y + h*k**3 + j*k + w*k**2 + g*k**4 and give h.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(sqrt(132)*6 + sqrt(33) + sqrt(99)\/sqrt(3)*-6)\/(-1*sqrt(243)*3).\nAnswer: -112*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 3*a + 19. Let q be y(4). Solve 4*o = q - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 10. Suppose -j = -d + 8, j + 0*j + 21 = 2*d. Suppose 2*z - d = 1. Let b be a(z). Solve -b*y + 4 = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -42*z**3 + 354*z**2 - 611*z - 4. Calculate t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 1. Let j(l) = l**2 + 5*l + 2. Let t = 21 - 26. Let c be j(t). Let p be q(c). Solve 0 = d + p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 25*x**2 + 0*x + 110 - 58.\nAnswer: -25*x**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 21049 to the nearest 100.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 591.\nAnswer: -5910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110 times 5\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 7*v**3 - v**3)*(-7*v - 5*v + 17*v) + 5*v + 2*v**4 - 5*v.\nAnswer: -38*v**4 + 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 3 + 1\/5*v**2 - 8\/15*v**3 + 0*v + 3\/10*v**4. Determine y so that q(y) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(sqrt(1872) + -1) + (sqrt(1872) - (sqrt(1872)*1 + -2)))**2.\nAnswer: -67396 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 30 = -2*t - 6, l = -4. Suppose t*r = -2*x, 0*r - r + 6 = -x. Differentiate -250*b**2 - 14*b**r + 250*b**2 - 10 wrt b.\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890*a - 461*a + 522756 = 0 for a.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -31. Let a be (-3)\/(-9)*(0 + v). Suppose 3 = 4*w + u, a = 5*w - 0*u - u + 3. Solve -2*c + w*c + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, 0.576, 3\/8, -3\/5?\nAnswer: 0.576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g + 2. Let r = 6 + g. Solve r*k = -0*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4795, -38313, -129275, -306403, -598419, -1034045, -1642003?\n\"Answer: -4787*q**3 - 9*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.1, 3\/4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9420 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 63*h**2 + 34*h + 84. Let u be m(-31). Let q = -6 - -13. What is the common denominator of (-3 - q\/(-4))\/(u\/(-22)) and 7\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o - 5. Let a(u) be the first derivative of -u**2\/2 + u + 175. What is -5*a(g) - m(g)?\nAnswer: -g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**4 + m**3 + m**2 - m + 1. Let q(f) = -73*f**4 - 2*f**3 - 2*f**2 + 2*f + 44. Let v(u) = -q(u) - 2*r(u). What is the derivative of v(y) wrt y?\nAnswer: 284*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13 = -7. Suppose 0 = -s - 4*s - 5*n, -k*s + 2*n - 6 = 0. Calculate the remainder when 3\/3*s*-2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/24375 and 58\/4625.\nAnswer: 901875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 133 = -4*u. Suppose -g = -4*g + 105. What is the highest common divisor of g and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 8*s + 2. Let r(h) = h**2 + 7*h - 2. Determine -3*j(b) - 4*r(b).\nAnswer: -b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.82 - 0.92. What is the nearest to 0 in 2.2, 0, z, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 588388837*o**5 - 2*o**2 + 54572*o + 1591 wrt o.\nAnswer: 35303330220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/35, 2\/1207, 0, 5?\nAnswer: 2\/1207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13605, 13603, 13599, 13593, 13585?\n\"Answer: -a**2 + a + 13605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*a**2*t**4 + 4*a**2 + 66*a*t**6 + a + 8040*t**2 wrt t?\nAnswer: -5136*a**2*t + 7920*a*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1195015*m + 3202135 wrt m?\nAnswer: 1195015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -30. Let b = -88 + 91. Let h(q) = -9*q + b + t*q - 3. Let a(d) = -2*d**2. Calculate a(h(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 16*l**2 - 13*l - 31. Give t(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)*i)**(-22))**46 assuming i is positive.\nAnswer: i**(-2530\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**6\/40 - q**5\/20 - 5*q**2\/2 - 6*q. Let k(u) be the first derivative of v(u). Suppose k(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 145*t**3 - 3*t**2 + 3*t - 3. Let a(r) = 291*r**3 - 7*r**2 + 7*r - 7. Calculate -6*a(m) + 14*y(m).\nAnswer: 284*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200\/29 + 5057\/174. Let v be (-2)\/(-8) - 26\/8. Calculate the common denominator of l and (-274)\/72*(v - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2 = 17, -3*c = 2*a - 243. Suppose 39 = z - 5*v + 2*v, 0 = 3*z - 4*v - a. Let t = -20 + z. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-56))\/((-1490)\/7152). Let c - 12\/7*i - 6\/7*i**2 = 0. Calculate i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*m + 235*m - 8613 + 1023 = 22*m for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, -4*g - 5*h + 13 = -7. Solve -11 = 4*r + g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 43?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 74. Let o be n(-34). What is the greatest common divisor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249 * 14.\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*v - 101, 2*v + 29 = o + 7*v. Solve 24 + 14 = -o*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 m when three letters picked without replacement from {l: 1, m: 4, s: 2, x: 2, q: 5}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141680, -283407, -425134?\n\"Answer: -141727*j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-11)*s)\/s**(-2\/5)*(s*s\/(s*s**(-2\/5)*s))**37)**(-10\/9) assuming s is positive.\nAnswer: s**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/65, -43, -0.03, 4\/5, -5\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*m + 24 = 0, k + 8 = -m - 2*m. Suppose k*s = 2*s + 980. Suppose -4*a - 3*t - 63 = -s, -4*a + 5*t = -109. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlrdoolldolllhll. Give prob of sequence rhh.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**2\/2 - 6*h - 70. Let q(n) = 7. Give 6*q(a) + 7*y(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 429 - 302. What are the prime factors of x?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-3))\/16)\/((-5)\/(-15))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11006*v + 10992?\nAnswer: -11006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3371537 take away 0.1?\nAnswer: -3371537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*q + 0*q + 59 = 0, -4*q - 4 = 0. What is the derivative of h - 135*z - 6 - 6 - 8 wrt z?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853 = -284*o + 433 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 43. Let y = -17 - w. Let u = y - 6. Which is the second smallest value? (a) -3\/7 (b) u (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 687 - 686.209. Round w to 2 decimal places.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506512745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 2*o + 3*o)*(1 - 3 - 1)*(12*o**2 + 62 - 62) as l + h*o**3 + j*o + a*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 50 = 3*t. Let x(b) = -3*b - 9. Let r(g) = 6*g + 19. Let v(w) = -4*r(w) - 7*x(w). What is the tens digit of v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6771*j + 3390*j + 3389*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31740 in 5, 5\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -a + 5, 3*s - 22 = 5*a - 7. Let u(c) be the second derivative of 13*c + a - 1\/4*c**4 + 2*c**2 + 5\/6*c**3 - 1\/20*c**5. Determine u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 11*y - 11. Let a be j(-13). Suppose 95 = -5*s + 4*q, -2*s - 2*q - q = a. Let p be 2*(-4 - s\/4). Is p smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 - 818 = 10*t. Let y = -83 - t. Solve y*s = 29*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23012, -3, -5 in descending order.\nAnswer: -3, -5, -23012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 - 206.000000697. Round r to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 5 (b) 5\/3 (c) 0.3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.67 + -39.048726\nAnswer: -42.718726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(1827\/261)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1828058355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**8\/210 - q**6\/60 + q**3\/2 + 3*q**2. Let s(k) be the first derivative of n(k). Find the third derivative of s(g) wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10358887 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Suppose -34 = 9*l + 2. Let r(p) = -p**3 - 6*p**2 + 7*p + 3. Let n be r(-7). Let w(y) = -5 - 3*y + 2*y + n*y. Determine l*x(h) + w(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*k - 51, 0 = 2*i - 2*k - 11 - 1. Let a(r) = -r**3 + 3*r**2 - 31*r + 205. Let q be a(5). Let j(w) = i + w - 2 - 10 + q*w. What is j(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d2955 - -3?\nAnswer: -d2952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -4. Let a = 1 + z. Let d = -2.1 + 2. What is the second biggest value in a, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 - 280 = 115*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/8*1*(-54)\/(-27))\/(51\/(-102))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5115362 (base 7) to base 9\nAnswer: 1127785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5021*z = -5027*z + 3336. Is 26 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from ssasssssjsswasjsaap.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1)*116\/(-232)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50650747?\nAnswer: 7, 7235821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 522688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/35 + j**3 + 4*j**2. Find the first derivative of z(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15 + -12 - (-1 + 2). Let l(r) be the first derivative of 1\/12*r**4 + 1\/18*r**6 + 2\/15*r**5 + 0*r**2 + 0*r**3 + 0*r + j. Factor l(s).\nAnswer: s**3*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/4*-1)\/(20\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1534, 3428, 5340, 7270, 9218, 11184?\n\"Answer: 9*m**2 + 1867*m - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(v + v + 0*v) + 2*v + 0*v - v + 3 + 2*v - 3 - 2*v + 2 - 2 - 2*v - v + v + 3*v - 5*v + v - 4*v + 4 - 4 to x + s*v and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1483\/5 - 297. Let x = 7.89 + 0.11. Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22728026, -22728023, -22728018, -22728011?\n\"Answer: x**2 - 22728027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/((-50)\/(-150)). Suppose a*w + 10 = 4*x, 7*x - 4*x = w + 5. Solve f = -q - 2, -3*q + 5*q + 4*f + 2 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*n = 5, -u + 0*n = -4*n + 13. Suppose -z = u*z - 16. Is (-2)\/z*-2*142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = u + 22, 111 = -3*u - 21*q - 37*q + 395 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 54 + 51 = 0. Calculate the remainder when (-3 - -28 - r)*2 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-6)*2907\/34 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -23 - (-1 - -5 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let p(u) = 9*u**2 + 15*u + 7. Let f(k) = p(k) - 6*v(k). Let h = 13740 + -13687. What is the remainder when f(-10) is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -9. What is the smallest common multiple of 6 and 6\/4*32\/m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-154)\/6)\/(-11))\/((-35)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**3 + 1062500*a**2 - 2125016*a = 0.\nAnswer: -265627, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-3\/13)\/(n\/(n*(n\/((n**3*n)\/n*n))\/n*n)*n**(-2)) assuming n is positive.\nAnswer: n**(-97\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 79\/2 of a century?\nAnswer: 47400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26591519 is divided by 37243.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000011011 (base 2) in base 5?\nAnswer: -40322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 * -1.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = v - 2*x, -5*x + 2 - 12 = 0. Let l = -161 + v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 3878468604?\nAnswer: 3878468601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 61. Suppose -3*r = 3*c - 77 - 34, 0 = u*c - 2*r - 126. What is the greatest common factor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukef when four letters picked without replacement from {f: 2, y: 1, u: 1, k: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102200 (base 4) to base 15\nAnswer: -53e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 25. Let t = -131.0089 - o. What is t rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 46, 150, 302, 502?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 7*z + 2*c + 5, 3*c = 4*z - 30. Calculate the remainder when 366 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/((-88)\/80*2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -21059.\nAnswer: -21068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:45 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -92. Suppose 5*d + 25 = -t, n + 25 = -t + 5*d. Let k = 57 + t. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -12. Let g(s) = -5 - 6 + 2 + 0*s - r*s. Let l be g(-6). What is the greatest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + ((-48)\/(-9))\/(4\/6). Let j = 109.4 + -109. What is the nearest to 1\/3 in 1, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -690 + 688. Put -1, f, -21 in descending order.\nAnswer: -1, f, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b29a - -3778?\nAnswer: 41a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -149, -288, -453, -632, -813, -984, -1133?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6476346 to the power of 1\/2, to the nearest integer?\nAnswer: 2545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 19. Let u(m) = m**2 + 10*m + 20. What is the units digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/17)*h)\/(h*h\/(h*h**(-2\/37)*h))*h**(-23)*h**(2\/29))**(46\/7) assuming h is positive.\nAnswer: h**(-17509578\/127687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19096926*b**5 - 7*b - 936938 wrt b.\nAnswer: -381938520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-260)\/8)\/5 - (-3)\/2. Let y(r) = 7*r**3 + 3*r**2 + 4*r - 3. Let n(b) = -13*b**3 - 5*b**2 - 7*b + 5. Calculate o*y(z) - 3*n(z).\nAnswer: 4*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*r**2 + 1024*r**2 + 6*r**3 - 4*r - 577*r**2 - 3*r**3 - r in the form y*r + s + o*r**2 + p*r**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 52 - (1 - -3 - (15 - 27))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/14 + 54*x**5\/35 + 285*x**4\/28 + 218*x**3\/7 + 342*x**2\/7 + 264*x\/7 - 687. Solve j(d) = 0 for d.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**7\/840 - 7*r**6\/360 - 3*r**5\/40 - 3*r**4\/8 + 11*r**3 + 38. Let n(d) be the third derivative of g(d). What is n(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 3*k**2 + 2*k + 4*k**2 + k**3. Let b(s) = -251*s + 5771. Let m be b(23). Calculate j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (52 - 14 - 21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n. Let p be 5*(27\/45)\/(6\/1532). Let k(s) = p*s + 1 - 761*s - 1. Calculate -3*k(b) + 2*v(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2606100\/735)\/146)\/(5\/14)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 109.000071. What is u rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l - 56 = -68*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*z**3 + 1\/4*z**2 - 1\/4 + 1\/4*z.\nAnswer: -(z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 + 19*w - 4. Let s be j(6). Suppose -5*c = 4*o - 20, -2*c - 4*o = -10 + s. Solve -8 = c*l - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -467.677 - -468. Let n = b + -4.323. Let g = 5 + -8. What is the nearest to -1\/3 in g, 4, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Is r*(1 - (-17)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/12 - 3*y**3\/2 - 6*y - 7. Let n(z) be the first derivative of x(z). Find the second derivative of n(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50736 and 168966?\nAnswer: 204110928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-23)\/(3 - (-19)\/(-3)) and -25\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/105 - 5*s**3\/6 + s**2. What is the first derivative of x(l) wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 4*y + 2*y + 1. Let c(x) = 8*x. Let m(a) = -5*a - a - a - 2 + 1. Let d(i) = -4*c(i) - 3*m(i). Calculate -3*d(k) + 8*o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -0.092 (c) 605 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 divided by -23?\nAnswer: -722\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4) + 1418\/4. What is the third derivative of n - 3*s**2 - 14*s**3 - 356 wrt s?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 203464979 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.84 + 2.64. Sort l, -5, -19, -1 in decreasing order.\nAnswer: l, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546992 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + 86. Let x = v - 45. Suppose -47 = r - 5*m - x, -3*r - 2*m = -320. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(200)\/sqrt(4) - sqrt(50))\/sqrt(10) + 2.\nAnswer: 2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/2*(0 - -1). Suppose 4 + 2 = -3*g, 2*u - 20 = 4*g. Solve 10 = -u*y + c*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 = 5*g + 5, 3*w + 2*g = 12. Suppose -16 = w*f - 140. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/57 + 1\/133. Is s at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 3*j + 37 - 10, 13 = 5*o + 3*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 - -282. Let m(a) = 2*a**2 - a. What is the lowest common multiple of w and m(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10839*i**3 + 23403*i**3 + 26008*i**3 - 18868*i**3.\nAnswer: 41382*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -1*2*-1. Let z = o - -4. Determine q, given that 4*q**2 - 3*q**2 + q**2 - q**4 - q**4 - 2*q**3 + z*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let m(q) = -4*q - 2. Let y(c) = -m(c) + 6*p(c). Let i = -1 + 4. Let z(a) = 0*a + 2 - i + a + 0. Give 3*y(o) + 8*z(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -44. Let c(f) = f + 2. Let q(m) = m**3 + 2*m**2 - m. Let n be q(-2). Let z be c(n). Solve -u = -8*p + z*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.815304 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13918, 55666, 125254, 222688, 347974, 501118?\nAnswer: 682126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 + -12.9. Let u = x + 25. Let w = u - 9.9953. What is w rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 1. Let o(f) = -8*f**2 - 5*f + 6. Let d(u) = -3*a(u) - o(u). Suppose 4*j = -j + 35. Is d(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121566915 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2. Let n(k) = -169*k**2. Calculate t(n(p)).\nAnswer: 142805*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404025 is divided by 348.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220043 + 120?\nAnswer: 220213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q. Let j(z) = -3*z + 5. Let h(i) = -i + 2. Let v(f) = -5*h(f) + 2*j(f). Give r(v(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.198\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*l**2*n + 88*l**2*w + 3*l*n*w + n*w - 99*w wrt l?\nAnswer: -70*n + 176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/324 - 5\/((-675)\/395)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (317\/(-634))\/(((-2)\/(-8))\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 211987073714 and -829.\nAnswer: 211987072885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-32)\/r*r**(1\/2)\/r*r*r**38*r*r**(4\/11))**(-25) assuming r is positive.\nAnswer: r**(-4875\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = -18*u + 36*u + 5 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaadadaaaaaa. What is prob of sequence da?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from cocccccccococctccctc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(700)*-1 + sqrt(700) + (-4*sqrt(700)*-2)**2 + 1.\nAnswer: 44802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5192*f**2*n**4 - 150658*f**2*n**2 + 2*f**2 + f*n**4 + n**3 wrt n?\nAnswer: -124608*f**2*n + 24*f*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4928913681.\nAnswer: 3, 1642971227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 472?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((9\/724)\/(9\/(-6))). Suppose 4*s + w - g = 0, 57 - 781 = -4*s + w. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxexexxxxxxxxexx. What is prob of sequence exee?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. Let o be 1 + (-1 - m*1). Suppose -44 = -k - o*k + 5*h, h = -k + 4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5333, 5326, 5319, 5312?\nAnswer: 5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253335 or 253336?\nAnswer: 253335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -110*p - 6075. Give v(-55).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -3911331789412?\nAnswer: 3911331789411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27424, -27423, -27422?\n\"Answer: n - 27425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = -0*c. Suppose 2 = g - 1. Solve a = -c*a + g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -9 + 5 - -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8\/5, -4, 14.95?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, -1, 2, 5, -247 in ascending order.\nAnswer: -247, -1, 0, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/27*3\/2. Solve 0 = -3*w - g*c - 9 + 31, 3*w - 5*c + 13 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 21553*g - 464531809\/2.\nAnswer: -(g + 21553)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -26. Calculate the remainder when 85 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 3*l - 129. Let f = -88 + l. Find the common denominator of f and 55\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15630 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1890400 to the nearest ten thousand.\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(((-3)\/6)\/((-366)\/(-24))). Suppose -466 = -13*d + p. What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (-43 + (-3)\/(-1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212012200 + -12011?\nAnswer: -102212101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 17*v - 16*v. Suppose 31*m - v*m + 87 = 0. Do 30 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 - 7*w + 7. Give h(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2854854, 2854837, 2854816, 2854797, 2854786?\n\"Answer: a**3 - 8*a**2 + 2854861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/7 - 130824*c**2\/7 + 1425850695*c\/7 + 8559814482\/7.\nAnswer: 3*(c - 21807)**2*(c + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/3)\/(-3)*(-12)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11606199 greater than -11606196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - 6*q - 7. Let y be j(4). Let a = y - 59. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/23 + -34\/69. Let h = -0.55 + 0.66. Which is the smallest value? (a) h (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/20)*v*v**(7\/4)\/v)**(-18\/7)\/((v\/v**(-5\/7))\/(v*v**(-1\/3))*(v**0)**(-17)) assuming v is positive.\nAnswer: v**(-596\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 739965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 159970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 - 166. Solve -11*x + c*x + 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:43 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 144. Let v be (j\/30)\/(4\/(-50)). Let u = v - 33. Is u less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -65, -3\/5, 12, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/18 and 163\/4968870.\nAnswer: 14906610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 13495726495.\nAnswer: -13495726495.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 34*l + 79. Let r be y(19). Let o = -13 + 43. What is the second derivative of -4*z**3 - 2*z**3 + o*z - 4*z**r wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283524060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*u**5 + 180*u**3 - 4*u**2 - 16*u**2 + u**2 - 15*u**5 wrt u.\nAnswer: -60*u**2 + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 5, -12, 2, 334.\nAnswer: -12, -10, 2, 3, 5, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 7, j: 3, f: 4, q: 4}. What is prob of sequence jj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.1, -29, -3\/7, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1822885*l**5 + 3*l**2 + 714142 wrt l?\nAnswer: 109373100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4.275 + 28099684.1\nAnswer: 28099688.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {m: 2, n: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5831\/4 - 1458. Which is the closest to -1\/17? (a) -0.01 (b) -0.3 (c) y (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2945634 times 0.7\nAnswer: 0.20619438","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -2363381 (base 10) to base 11\nAnswer: -1374709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 0.027 (c) 1 (d) -19 (e) 5 (f) -4 (g) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-8 - -37) - (5 + -3 + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1560468417, 1560468418, 1560468419, 1560468420, 1560468421?\n\"Answer: q + 1560468416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Suppose -28 = -3*f - 7. Let z be (-76)\/(-6) + 10\/(-15). Let r(n) = -n - f*n + z*n. What is h(r(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = -m + 35, 4*m = 2*x + 2. Suppose x*q - 12 = 3*q. Let s(y) = -2*y + 18. Let v be s(10). Put q, v, -1 in decreasing order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560*x + 1470432 = -507*x. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1 + (-44)\/(-8)) - (-237411)\/(-3159)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 5. Suppose 4*r + 1632 = -4*f, 4*f + 0*f + 1632 = -r. Let d = f - -402. Give y(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 108498, 216961, 325424?\n\"Answer: 108463*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1445, 37, 1 in decreasing order.\nAnswer: 1445, 37, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmsmkmmsssss. Give prob of picking 1 k, 2 m, and 1 s.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40053841.7709 from -1.\nAnswer: -40053842.7709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136222152 by -5675923.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/104*(-4)\/(-54). Let h = 256\/1287 + m. Factor 2\/11*d**3 + 0 + h*d**4 + 0*d + 0*d**2.\nAnswer: 2*d**3*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 325335467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 349799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-154)\/22 - (-38)\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*r + 56 = -69*r. Let x = 1 - -1. Find the second derivative of -24*n - 24*n**2 + 12*n**2 + r*n + n**x wrt n.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22\/53 - -317\/636. Let y(m) be the second derivative of 5*m - h*m**4 + 2\/3*m**3 - 2*m**2 + 0. Factor y(c).\nAnswer: -(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4903*t**2*w**2 + 54434*t**2 + 3*t*w**2 + 5*t + 4632117*w**2 wrt t?\nAnswer: 9806*w**2 + 108868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - (4 + 0 + (4 - 30))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 896\/30 - (-14)\/105. Let -20557*o**4 - 169*o**3 + 300*o**2 + 4*o**3 + 20577*o**4 - 185*o + h = 0. Calculate o.\nAnswer: 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + h**2 - 20*h**2 - 4 + 159 + 189.\nAnswer: -2*h**3 - 19*h**2 + 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + -29877.8.\nAnswer: -29877.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*c + c - 198, -3*x + 5*c = -154. Suppose -3*k - 5*n = -2*n - x, 0 = -5*k - 4*n + 77. What is the remainder when 24 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 16. Let q(s) = -7*s + 20. Let k(t) = -5*d(t) + 4*q(t). Let l(p) be the first derivative of -219*p**2\/2 + 32. Give k(l(m)).\nAnswer: -438*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*b + 18. Let f = 12 - b. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 3*z**4\/4 - 367*z**3\/3 - 1001*z**2\/2 + 6*z - 7157. What is the second derivative of l(h) wrt h?\nAnswer: 18*h - 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -8) + -9 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qrzzzzqzzzzqqzjzr?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 129 + -134 + 52\/10. Factor 6\/5*i**3 + 2*i - y*i**4 - 12\/5*i**2 - 3\/5.\nAnswer: -(i - 3)*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2480.9 - 2483.5. Sort n, 78, 3\/2.\nAnswer: n, 3\/2, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*p**2 + 288 wrt p?\nAnswer: 482*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 2*p - 1. Suppose -18*z - 131 = -41. Let t be (-3)\/(-1) + 3 + z - 2. What is h(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19aa (base 13) to base 12\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359595 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20894836 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/24 - 722\/8. Let h be 2\/(-4) - 2040\/(-16). Let a = x + h. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33193657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 37*j**2 - j**2 - 2*j**2 + 43*j**2 - j**2 + 0*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 509*h + 25657. What is k(-50)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q - 199 = -3*i, 0 = -4*q + 16. Let g = -18 + i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-54) - (-74)\/9. Let i = w + -8. Solve i = -2*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:36 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (2 + -1)) + 2. Suppose -y - p*y = -40. Let j(h) = -2*h**3 + 26*h**2 + 30*h - 12. Calculate the smallest common multiple of j(14) and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, c: 3, j: 3, t: 5, d: 3}. Give prob of sequence jcn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.8237ng to grams.\nAnswer: 0.0000004898237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 32 = -2*b + p, 0 = 4*b + 5*p - 21. Which is greater: b or 772?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25486*n - 15903*n - 14025*n)*(-7*n + 4*n + 2*n) as q + a*n + h*n**2 and give h.\nAnswer: 4442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367653043 to the power of 1\/3, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-30)*(-5)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.36 - 0.36. Let n = 15 - y. Let z = 0.2 + 0. Sort 4, n, z in descending order.\nAnswer: 4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2 - 18) + -4973 + 4969?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 3*c**5\/20 - c. Let a(s) = s**3 + s + 1. Let n(h) = -a(h) + k(h). Let j be n(-1). Is j greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/3 + 3)\/((-3)\/9). Let n = 19 - b. Suppose -3*c + 2*t + 206 = 0, 0 = c + n*t + 2*t - 78. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 227*x**5\/60 - x**4\/12 - 131*x**2. Is 15 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 393515828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let v be f(2). Let z(m) = -2*m**3 - m**2 + 2*m - 1. Let g be z(1). Sort g, v, -1 in ascending order.\nAnswer: v, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-10)*m*m)\/m)**(-8))**(-9) assuming m is positive.\nAnswer: m**864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 46.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -12. Let r be -2*(3\/6 - d). Suppose -4*x = 4*f - 304, -4*f + r = f. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10467 or -10466?\nAnswer: -10467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 4 + 4 + ((-2 + 6 - 2)*(4 - 2 - 3) + 3 - 4 + 2 + 3 - 3 - 2 + 1 + 1 + 0 + 1 - 5 + 5 + 2 + 0 - 4)*(-5*n + n + 2*n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 20?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123 + 5445?\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.02168219 rounded to 2 dps?\nAnswer: 175.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7128097 and 228.\nAnswer: 85537164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:47 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406 + 2280959*k - 1406.\nAnswer: 2280959*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 239, 465, 931, 1721, 2919?\nAnswer: 4609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j + 7643 - 18*j - 7644 - 23*j.\nAnswer: -61*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + x**2 - 2*x + 1. Let c be b(1). Let y(n) be the first derivative of n**4\/2 - 5*n**3\/3 + n**2\/2 + n + 20. Is y(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*1*732\/(-21)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.1 - -4. Let u = -337\/5 - -67. Let d be 39\/(-15) - 8\/20 - -4. Which is the closest to d? (a) u (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7410, -28902, -64714, -114840, -179274, -258010, -351042, -458364?\n\"Answer: p**3 - 7166*p**2 - p - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let h = n + -1. Let w = 12828 - 12830. Which is the third smallest value? (a) h (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -18.22.\nAnswer: -72.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*l + l - 3*o, 20 = 4*o. Let k be 15\/3*l\/(-15). Let m(b) = -b**2 + b - 1. Let s(w) = w**3 + 4*w**2 - 2*w + 4. Determine k*m(g) - s(g).\nAnswer: -g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {b: 3, f: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1*sqrt(1900) + -1 + sqrt(1900) + -4 - ((sqrt(1900) - (-1 + sqrt(1900) + -3)) + 1))**2 + -2.\nAnswer: -200*sqrt(19) + 1998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 271. Let k = -87 - f. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5099 + -5101.544. Round m to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 20723*p**2 + 107453875*p + 965407041.\nAnswer: (p + 9)*(p + 10357)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 470370 + -580906786\/1235. Let f = -2\/95 - g. What is the nearest to f in -0.3, -4, 4, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:17 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10078 - 10087. Put 3, -46, v in ascending order.\nAnswer: -46, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 95 - 44 + 306*m - 306*m + 2 + 9.\nAnswer: m**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 200*y + 120. Let b(v) = 3*v - 12. Let x(m) = -10*b(m) - p(m). Let g(h) = -30*h**2. Calculate g(x(q)).\nAnswer: -1587000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10902550 is divided by 99114?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -0.284, -0.06, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, -1, 49259, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117.8 - 113.8. Let o = 13 - 12.95. Which is the second smallest value? (a) o (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33117371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75037 is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*z - 425*z + 3*z**3 - 465*z.\nAnswer: 3*z**3 - 994*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 69654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 380, 797, 1494, 2471, 3728?\n\"Answer: 140*u**2 - 3*u + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.7. Suppose 2*u + 53336 - 53338 = 0. What is the second smallest value in u, -2, -3, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - x**2 - 3527 - 3767 + 6*x - 2083.\nAnswer: -x**2 + x - 9377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*n + 0)*((0 + 0 - n)*(-n + 1 - 1) - 2*n**2 - n**2 + 0*n**2).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 66298\nAnswer: -331490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 84906767 divided by 8\nAnswer: 84906767\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Suppose -20*i + 23*i = 15. Let p(r) = 153*r**2 - 293*r**2 + 5*r - i*r - 134*r**2. What is p(l(k))?\nAnswer: -274*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1880500 and 8000.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/(n\/(((n\/(n**(-2\/17)*n*n))\/n*n)\/n))*((n\/(n*n**0))\/n)\/n*n**(-2) assuming n is positive.\nAnswer: n**(-134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20300431?\nAnswer: 17, 53, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 4*z**2 - 5*z + 4. Let j be u(5). Suppose j*v - 4*x - 96 = 3*v, 0 = -5*x + 5. What is the highest common factor of 12 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -204, -1 in descending order.\nAnswer: 0.09, -1, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -221111 (base 4) in base 14?\nAnswer: -d6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from {b: 8, g: 3, p: 4, q: 1, j: 1}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a millimeter in micrometers?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 81*g**2 + 16*g + g - 11*g**2.\nAnswer: 70*g**2 + 21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8831 - 55586.\nAnswer: -55579.1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46712, 93553, 140394?\nAnswer: 187235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(2\/5)\/v)\/v)\/v)\/v)\/((v*v**(-6))\/v))\/((v*(v*v**(2\/5)*v)\/v*v*v)\/v)**(-25) assuming v is positive.\nAnswer: v**(437\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8377, 8375, 8373?\n\"Answer: -2*x + 8379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -16\/5 (b) -0.2 (c) -5 (d) -2\/25 (e) 8 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (3 + sqrt(833) + 1)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 124\/(-12) + (-2)\/3. Let r(k) = -4*k - 1. Let z(d) = 4*d + 1. Calculate i*r(m) - 6*z(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - -27. Let x = -64.03 + t. What is the second smallest value in 1, x, 2\/11, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(4\/15)*b)*b*b)\/(b*(b*b**(-12\/19))\/b*b*b))\/((b*b**(1\/20))\/b*b)**(-10\/3) assuming b is positive.\nAnswer: b**(1633\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by 114?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1733420 and 42185.\nAnswer: 19067620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*c + 165 = -356*c + 725*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**2 + 5*k + 5. Let p(g) = -11*g**2 + 6*g + 6. Let a be (12\/(-24))\/(4\/(-48)). Calculate a*h(d) - 5*p(d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 14 - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 19\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -301*s + 1 + 422*s**2 - 410*s**2 + 297*s. Let q(z) = -23*z**2 + 7*z - 1. What is 5*p(b) + 3*q(b)?\nAnswer: -9*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1139*i - 10247. Give l(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -2 + 3 + 24 + -51.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 5, v: 2, c: 6}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 20*u**2 - 35*u - 4. Give l(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 5*j**2 + j**2 + (-3*j + 2*j**2 + 3*j)*(0 + 0 + 1)*(1 - 4 + 1).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -18*a**2 - 9*a - 17. Let r be b(-3). Let w be (6 + r\/(-10))\/(1\/25). Suppose -y - 4*x + 198 = 0, 3*y + x - w = 5*x. What are the prime factors of y?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, -4, 22, 4, 30 in descending order.\nAnswer: 33, 30, 22, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 6*q - 4. Let s(b) = -b + 1. Determine -6*s(p) - t(p).\nAnswer: p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 greater than 21170\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 9*c**3 - 5*c**2 - 6*c**2.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/5? (a) -1 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039152611?\nAnswer: 7, 148450373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:09 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18665*m + 3785 + 3180 = 18466*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 66. What is g(0)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -600 (b) -3\/4 (c) -1.218 (d) 0.2 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31567*i**3 + 31561*i**3 + 31567*i**3 - 94696*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 + 6 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2 - 2 - k. Suppose 13*l + 8 = 11*l, -2*b = -5*l - 22. Suppose -2*r = q - 4*q - b, 15 = -5*q. Give z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5748 or 132888?\nAnswer: -5748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s - 53*s - 757 + 760 = 0. Which is the closest to -0.004? (a) 0.5 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 - 20*h**4 - 15*h**3.\nAnswer: -5*h**3*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 3*w + 620, -2062 = 5*h + 3*w. Which is smaller: -430 or h?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -262 - -253. Find the common denominator of (-59)\/6 + 16 + p and -1 + (-79)\/220*-6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -262*j + 1. Let i(h) = 8*h**2 - 240. Let v(r) = 7*r**2 - 200. Let l(y) = 5*i(y) - 6*v(y). What is l(g(b))?\nAnswer: -137288*b**2 + 1048*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -70) + 18 + -4 - (-19 + 5)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -6 + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 5, 0.5, 26883, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 452250803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 4:53 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130877 and 406.\nAnswer: 1832278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-1.5.\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -114, -185, -276, -393, -542?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -795049947.60698 and 0.03.\nAnswer: -795049947.57698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10*1276\/(-4060))\/((-2)\/14)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15190\/465*30\/35?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 1, -99, 5, -4, -5, 0 in ascending order.\nAnswer: -194, -99, -5, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 598*g**2 - 76040*g - 996864.\nAnswer: (g - 118)*(g + 12)*(g + 704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/5, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033887009 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 25*o + 68 + o - 4*o.\nAnswer: -25*o + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*b - 238. Suppose b = 3*s - 14. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 73, 266, 645, 1270, 2201?\n\"Answer: 10*b**3 + 3*b**2 - 12*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 70272*q\/5 + 617269248\/5.\nAnswer: 2*(q + 17568)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16050\/223411 or -1?\nAnswer: 16050\/223411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2235900 and -61\/10955910?\nAnswer: 109559100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.432 at most 1158\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -6*o**3 + o**2 + o - 37. What is l(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 169*m**2 - 6*m + 9 - 166*m**2. Let c(o) = o**2 - 2*o + 4. What is 5*c(y) - 2*h(y)?\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 16. Suppose 2*f = 176*x - 171*x + 75, 4*f + 32 = -4*x. Solve -3*u = p - f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69319.605 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 + -1 - -3) + -4 - -9) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012\/(-99) + 10 + (-44)\/(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -20*b + 15*b + 1560, 624 = 2*b + 5*d. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1873 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-27) + (-4)\/18. Let i be 6\/x - (-15)\/(-5). Differentiate -2 + 2*v**4 + 1 - 4 + i wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, -9, 108 in descending order.\nAnswer: 108, 2\/3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17352 = -3*u + 3*d, -3*d + 4 = -5*d. Suppose 0 = 2*g - 4*t - 2798, 5*g = -t + 1191 + u. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(97 - 29 + 580 + 101)*(0 + 0 + 2*t) to n*t + b and give n.\nAnswer: 2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3031 - -11?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 930 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -13. Let r = v - 279.3. Is r < 0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-3)*(-20)\/25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 7. Suppose 9*s - 5*s = a. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -0.4, 0.2 in descending order.\nAnswer: 0.2, -0.4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {x: 4, f: 7, z: 1, j: 2}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(243))*-3 - -3*(sqrt(243) - (sqrt(243) + 1)))**2.\nAnswer: 162*sqrt(3) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -47648098\nAnswer: 3\/47648098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 35*p**2 + 56*p + 8. What is d(-19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:38 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 0. Let n = -2.8 - p. Let q = -0.8 - -0.3. What is the smallest value in 1, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1963e + 1d?\nAnswer: -19621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 495*l**3 + 63*l**2 - 63*l - 63. Let d(m) = -2 + 1497*m - m**2 - 5*m**2 - 1499*m + 8*m**2 + 16*m**3. Determine -189*d(k) + 6*g(k).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Let l be -1*(-8)\/(-3 - -2). Let c = l - -11. Put 2\/9, c, u in ascending order.\nAnswer: u, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. Suppose -x - 2 = -3*h + 4, -6 = 2*x. Let c be (-6)\/(-8) + h + -2. What is the second smallest value in c, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/(-3)*(-12)\/(-40) and -149\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**8\/12 + 8*v**7\/35 - 11*v**6\/30 - 4*v**5\/5 + 2*v**4\/3 - 13*v**2. What is n in d(n) = 0?\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - 90. What is the tens digit of (q\/(-20))\/3*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:52 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -0.5 (c) -602 (d) -40 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -1386.44, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1918 * -2469.\nAnswer: -4735542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 240 - 102 = 0. Suppose 3*b - 3*f - 18 = -9, 0 = -3*b - 4*f + 44. Solve -3 = -5*x + w*y - b*y, 4*x - y = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 3033.\nAnswer: -13\/3033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 8) + (-8)\/(-3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21237100 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 100 = -6*w. Suppose 4*n - w = -0*n. Let b be ((-29)\/58)\/(1\/7)*2. Put -5, n, b in ascending order.\nAnswer: b, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 6. Let n(q) = 5 + 104622*q + 1 - 104619*q. Calculate -3*n(g) - 4*p(g).\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*f**3*i**3*x - f**3*x + 7822*f**3 + 2213*f**2*i**3*x + 7*f**2*i**2*x + 30*i*x wrt i?\nAnswer: -792*f**3*x + 13278*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.4. Let p = -0.4 + -0.2. Let s = 0.4 - p. Which is the second biggest value? (a) s (b) 1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13959.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.914 - 0.086. Let k = z - -54. Put k, 4, 0.4, 2 in decreasing order.\nAnswer: 4, 2, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1134970032*h**3 + 756991281*h wrt h.\nAnswer: -6809820192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -23\/5. Let f be 3 + ((-68)\/20)\/1. Sort f, o, -0.3 in ascending order.\nAnswer: f, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/10, 2\/7, 0, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 17}. What is prob of sequence ruu?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -25545?\nAnswer: 25550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 0.52. Let v = 0.14 - k. Let g = v + -0.06. Which is the smallest value? (a) g (b) 2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9199316592 minus 7?\nAnswer: -9199316599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 - g - 1. Suppose 0 = 3*j - 4*q - 9, 4*j - 2 = -q - 9. Let b be (2 - 0)\/1 - j. Is o(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -19. What is the remainder when (6*-1)\/((-3)\/2) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cip when three letters picked without replacement from cpkioho.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 4. Let t be ((-27)\/63 - (-96)\/(-21)) + 12. Calculate m(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433432531.\nAnswer: 11113, 128987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*o + 101*f**2 - 44*f*o - 6*f + 6173742*o wrt f?\nAnswer: 4*f*o + 202*f - 44*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230476182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33434158649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + a**3 - 2*a**3 + (a**2 + a**2 - a**2)*(-14*a - 3*a + 5*a + (0*a + 0*a + 2*a)*(-2 + 2 + 2)).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 + -1 + -1. Let s = -1.31 + 0.21. Let t = -38172 + 38171.6. Which is the biggest value? (a) s (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 15457164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -341\/2824203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*h - 1390*h + 1163*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-8)\/(-36) - 1533\/(-27). Suppose -49 + n = 4*l. Factor 2\/3*y**3 - 2\/3*y + 2\/3*y**l - 2\/3*y**4 + 0.\nAnswer: -2*y*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/(i*i*(i\/(i*i**(2\/19)\/i))\/i*i*i))**(-1)*(i**(9\/2)*i**(-2\/41))**(-28) assuming i is positive.\nAnswer: i**(-93277\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -23*s**2 - 222*s + 96. Let u be y(-10). Solve -148 + 260 = u*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -664009*m**3 + 115*m**2 + 30907406?\nAnswer: -1992027*m**2 + 230*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 785118798 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 1. Let b(i) = -5*i - 12. What is -b(s) - 3*x(s)?\nAnswer: -7*s + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11417*-242.\nAnswer: -27.62914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (539*r + 550*r - 1158*r)*(1 - 4 + 0).\nAnswer: 207*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 17 - 2 + 5 + 7. Let t(z) be the third derivative of -z**4\/8 + 2*z**3\/3 - z**2. Suppose u - 7 = 3*s + 3, 8 = -4*s. Calculate u*b(p) + 7*t(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/102 + (9\/(-15) - (-126)\/135)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 1\/4, 8\/3, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*u**2 - 129*u**2 - 189*u**2)*(-2*u**3 + 2*u**3 - u**3 + (-2*u - 3*u + 3*u)*(u**2 - 2*u**2 + 0*u**2)).\nAnswer: -238*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13166 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 12 = -5*z. Suppose b = -p + 4*b + 199, -z*b + 919 = 5*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/2 - 215*f**4\/4 + 635*f**3\/6 - 1014*f. Factor u(t).\nAnswer: 5*t*(t - 1)*(2*t - 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/946 and -5\/3750374?\nAnswer: 41254114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-14 + 1 + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)\/c)\/((c*c**(1\/36)*c)\/c*c*c) assuming c is positive.\nAnswer: c**(-109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 2)*(-1 - 2 + 4) + 2 - 7 - 2)*(66*t**3 - 128*t**3 + 69*t**3) to the form o*t**2 + a*t**3 + x*t + l and give a.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 16 = -3*d - 3*m, 2*d - 16 = -4*m. Suppose j + h = 453, -2*h = 14*j - d*j + 890. List the prime factors of j.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 226743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - ((12 - 71) + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7518?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4387448 + 384?\nAnswer: -4387064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156.907 - -0.093. Let a = 281 - t. Let k = a + -124.00000098. Round k to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1995 = 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2688137690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -22*u. Let j be s(-1). Suppose -3*r + 3*b = -147, r - 6*r = b - 251. Let q = r - j. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1830, 2275, 2720, 3165?\n\"Answer: 445*u + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105944, 211958, 317962, 423950, 529916?\nAnswer: 635854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iieb when four letters picked without replacement from {k: 2, i: 6, b: 2, z: 1, e: 6}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.09 (b) -209 (c) 1\/4 (d) -155 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64842, -64844, -64846, -64848, -64850, -64852?\nAnswer: -64854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1432*c - 1441*c + 41130 = 0. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -5, 0.5, 0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/5 - 137*z\/5 + 138\/5 = 0.\nAnswer: -138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-73766)\/(-77) + 0\/1 + 4. Calculate the greatest common factor of 234 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + 3*g**3)*(4 - 1 + 0)*(-5*g + g + 3*g)*(-3 + 7 + 0)*(7*g - g + 2*g)*(3 + 0 - 1).\nAnswer: -192*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10377*s - 23661 = -2673*s + 15489 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -323365725 and 40.\nAnswer: -323365685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(441) + sqrt(441) - 1*sqrt(9)*-6)\/(((sqrt(9)\/sqrt(3) - sqrt(3))*-6 + sqrt(3))*-1).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-4 + sqrt(252) + (sqrt(252) + -1 - sqrt(252)) - (sqrt(252) + 2)*-6) + -3 + 5 + -5)**2.\nAnswer: -49716 - 3024*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 14 = 4*c, -2*a - 2 = 2*c - 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.136791 decades?\nAnswer: 0.6136791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7250 is divided by 2341?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**4 + 5*c**3 + 7360*c**2 + 50460*c + 85680 = 0.\nAnswer: -34, -4, -3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from dqutm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-40)\/475*57.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4950063990?\nAnswer: 2, 3, 5, 61, 157, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*h - 14, 5*n - 5*h = 3*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*c + 468 = 0, l - 233 = 4*c + 232. Let y = 6793\/15 - l. Is y greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 26\/1*(5 + -4 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219164?\nAnswer: 2, 554791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73600 and 22775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148370505 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 136013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1402*-0.04.\nAnswer: -56.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/11 and 23\/147?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2065 - -4127\/2. Which is the nearest to -0.1? (a) -2 (b) -2\/13 (c) h (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51\/10 + 13\/5. Suppose 3*x = -2*w - 3 - 15, 3*w + 5 = x. Let b(z) = 5*z**2 + 14*z - 5. Let m be b(w). Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -3*d - 6*p + 253, 0 = 3*d + 5*p - 72. Calculate the highest common divisor of d and 2527.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*t**4 - 4*t**2 + 117*t.\nAnswer: -348*t**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 34*v + 44. Give w(-8).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104547484 to the nearest integer?\nAnswer: 10225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/46508 and -17\/58468?\nAnswer: 679807436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-140))\/(((-88)\/11)\/40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8351.809ml?\nAnswer: 8.351809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8377400 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 1174 + 1122 = 256 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728 divided by 182.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h**3 + 105*h**3 - 39*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/6)\/c*c*c**(1\/10)*c*(c\/c**(-2)*c)**(-17\/6) assuming c is positive.\nAnswer: c**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 1:24 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 2 e when four letters picked without replacement from nieenisnxipixs.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 227 - 63 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 + 78. Let v = p - -38. Let k = 41 + v. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10481 or 10482?\nAnswer: 10482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*a - 16*a. Let f = 8 - 7. Put f, 2, a in descending order.\nAnswer: 2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/134 and -133\/30?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -752*f**2 + 196*f**2 + 212*f**2 + 203*f**2 + 196*f**2. Let t(v) = -v**2 + 6*v**2 + 0*v**2. Determine t(q(b)).\nAnswer: 15125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3298 divided by 22.\nAnswer: -1649\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 24 = -3*o - 0*m, -o - 4*m = 7. Suppose 2*d - o = -3*w + 3*d, -3*d - 5 = -4*w. Let n = 3 - w. Which is bigger: -3\/10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7628677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (755318\/(-295))\/(-74)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 262?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 43. Let q be s(-17). Let i be (-6)\/q - (2 + (-129)\/9). Let j = i - -9. What is the highest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 - 467 = -3*p - 3*h, 2*h = 2*p - 566. What is the least common multiple of 62 and p?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10648 + 41*i**4 - 10647 - 3*i**2 - i**3 - 2*i**3 + 6*i**3 to the form p*i**2 + r + z*i**3 + x*i + w*i**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16748*y. Let k(i) be the second derivative of i**3\/6 + 157*i - 5. What is k(o(f))?\nAnswer: -16748*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 380776 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 2 h when four letters picked without replacement from hohcorochohcrs?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1260 and (-170)\/(-675)*(2\/3 + 195\/234).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/744282 and -139\/55062?\nAnswer: 325251234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**4 + 0 + 0*g - 49*g**2 - 22\/3*g**3 + 1\/60*g**5. Find the first derivative of s(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4196 (base 13) in base 16?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 6, -0.045, -0.065, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*y - 12*y. Let i(v) be the third derivative of 1\/300*v**6 - 1\/75*v**5 + 0*v**4 + 6*v**2 + y*v + 0*v**3 + 0. Factor i(g).\nAnswer: 2*g**2*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 24*q + 19628 = 4*u, 3*q - 29502 = 4*u. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113623060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-370)\/(-10))\/(3\/15) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) + sqrt(560)*1) - sqrt(35))\/((sqrt(245) - (sqrt(245)*1 + sqrt(245)) - sqrt(245)) + sqrt(245)).\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3 + 13*c**2\/2 - 7*c - 627. Calculate o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467136 divided by -2\nAnswer: 233568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((1*-4)\/(56\/(-14)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(45\/240*60).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o - 254 = -54 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 203 + 4*o**2 - 187*o**3 - 108*o**3 - 103*o**3 + 402*o**3.\nAnswer: 4*o**3 + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 + 3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*v = 158*v - 2470. Solve -5*x = 2*n + v, 15*x + 10 = 19*x - 2*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 13*u**2 - 6*u. Let m be r(-7). Suppose 4*n - m = 24. Suppose -3*s - 18 = -n. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -z + 4, -2*d = 3*z - 0*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 2*x)*(4 - 4 - 2*x) - 5526*x**2 + 2739*x**2 + 2763*x**2 + 17 + x + 0 - 3*x**2 - 2*x + 1.\nAnswer: -23*x**2 - x + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 66\/14) + 12\/7. What is the hundreds digit of (-6 - 7)\/(j\/(-68))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.23699 * 483\nAnswer: -3978.46617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1005461643\/26 - -38666746. Let a = t + 4855. Calculate the common denominator of a and -37\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2109 + 2124. Let f(m) = m**3 - m**2 + 3*m - 4. Calculate the remainder when f(3) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139\/55 - 43\/10. Find the common denominator of (((-3471)\/(-162))\/(-13))\/(5\/(-15)) and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 165*r**2 + 119*r + 51. What are the prime factors of q(82)?\nAnswer: 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g + 28*g**2 - 14 - 11*g - 29*g**2. Determine k(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (24 - (-2 + 32))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 - 15*b + 42. Is f(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u + r, -5*u + 452*r = 453*r + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 4 + (sqrt(156)\/(-2*sqrt(12))*-1)**2*-2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 49*t**3 - 10272*t**2 - 748224*t - 9206784.\nAnswer: (t - 111)*(t + 16)*(t + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s - 3. Let z(b) = 9*b - 2. Calculate -3*l(q) + 5*z(q).\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4228865517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*g + 20 = -164*g. Let h(q) = -9*q**3 - 2*q**2 + 1. Let w be h(-1). Calculate the least common multiple of w*(22\/4 + -2) and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let y = 1483 + -1459. What is the remainder when 83\/(t - 2\/(-4)) is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2406250.88 and -1311.\nAnswer: -2407561.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - -12) + (4\/1 - 1). Solve -2*n - j = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322689 is divided by 53117?\nAnswer: 3987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4790\/133 - ((-1630001)\/(-5719) - 285).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178628 + -326394. Let m = y - -3545893\/24. Let w = -25\/24 + m. Find the common denominator of -63\/10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 60 = 2*k. What are the prime factors of (-10610)\/(-60) - ((-2)\/k)\/(-1)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -444*s + 447*s. Let k(b) = -b**3 + 32*b**2 - 56*b + 15. Is k(s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -38. Let i(h) be the third derivative of 1\/6*h**3 + 0 - h**m - 7\/24*h**4 + 0*h. What is i(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:50 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1903, -4073, -6243, -8413, -10583, -12753?\nAnswer: -14923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -17033aa?\nAnswer: 17033b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, c: 4}. Give prob of sequence jcjc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3 + 5*r - 2 + 1 - 1. Calculate the remainder when s(-9) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -438*c - 134530. What is a(-307)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 445 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5 - 6 + 6 - 27*o. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 + 3. Let h be g(-8). Suppose 2*n = -b - 0*n + 14, -h*n + 12 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35563768921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m**12)*m*m\/((m\/m**1)\/m) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5451786?\nAnswer: 2, 3, 73, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/30)\/((-12)\/30))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 108431136 = 216862271\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*w**2 + 11*w**3 - 300*w**2.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3*s + 1)*(-189683*s**3 - s**2 + 12*s**2 + 6*s**2 + 19*s**2 - 36*s**2) to a*s + b*s**3 + l*s**2 + g*s**4 + u and give g.\nAnswer: 569049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0209 + 0.1209. What is the nearest to 3\/5 in 1, j, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 261173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-36)\/((b*b*(b*(b**(-8)\/b)\/b)\/b)\/b**(-5)) assuming b is positive.\nAnswer: b**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2277 + 2277.3. Which is bigger: y or -876?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8*d**4\/9 - 2*d**3\/3 - 8*d**2\/9 + 2*d\/3 = 0?\nAnswer: -1, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/12 (b) -14 (c) 754 (d) 0.5 (e) 14 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 3*q**2 - q + 2. Suppose -13 = -13*s + 78. Let j(r) = r**3 + 4*r**2 + 2*r - 3. Let g(a) = s*z(a) + 6*j(a). Calculate g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l - 1. Let r(y) = -y - 4. Let m(w) = w + 1. Let s(u) = -2*m(u) - r(u). Let b = -49 + 46. Calculate b*q(v) + s(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 27*k**2 + k - 7. Let z be i(27). Solve -5*p = -9*p + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*z + 459 + 1269 + 57 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 3*x**7\/175 - x**6\/100 - 4*x**5\/75 + x**4\/15 + 2*x**2. Solve d(g) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, and 2 m when four letters picked without replacement from {t: 4, a: 6, m: 1, h: 3, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -5836, -19768, -46884, -91576, -158236, -251256, -375028?\nAnswer: -533944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 9*f - 2*v - 430, -718 = -5*f + 4*v. Sort 0, 3, f.\nAnswer: 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -17. Let u = -13.8 - -16.8. Which is the third smallest value? (a) -0.1 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7157?\nAnswer: 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34857*n**2 - 35398*n**2 + 70270*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c + 3*c - 3*c)*(3 + 0 - 1) - 8 + c + 8)*(-40 + 40 + 31*c**2).\nAnswer: 155*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/2422300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6199856\nAnswer: -1\/6199856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/90 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/2 of a microgram in nanograms?\nAnswer: 23500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55\/2 in 87, 5, 2\/15, 2\/5, 75, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.994 + 2.634. Which is the third biggest value? (a) 0.02 (b) -1\/4 (c) q (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4283 - 2563. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20) + sqrt(20) + (sqrt(5) - (sqrt(245) + -3 - sqrt(245))**2).\nAnswer: -6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*v + 34 - 4, 4*i = 8*v + 88 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*b - 17, 0 = -4*b - l + 9 + 21. Suppose -43 - b = -5*k. Calculate the smallest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -177584?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 925874 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: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 44 - 8. List the prime factors of (-6)\/r + (-20)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 3290*p**2 + 14*p - 8 + 3290*p**2 as x + h*p**3 + z*p**2 + g*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 y, and 1 c when four letters picked without replacement from {r: 4, y: 1, c: 3, u: 1, j: 1, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/27 and -79\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.196 - 0.196. What is the nearest to -0.1 in -2\/11, p, -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/3, 212, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-312)*-12)\/((-7)\/((-441)\/336)).\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 376 + 938 = 5*c, 4*c - 1068 = x. Let k = c - 264. Solve k - 1 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.67, 3, -5.18 in descending order.\nAnswer: 4.67, 3, -5.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5796 and 33534?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (52\/(-12) - -3)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6988 and 9973623?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -43*j**2. Let f(d) = 170*d - 50. Let y(b) = -3*b + 1. Let g(h) = 2*f(h) + 100*y(h). Give g(w(k)).\nAnswer: -1720*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 != -10\/421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7 - 1) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -91?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 186, 187, 188, 189, 190?\n\"Answer: j + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-894)\/126)\/((-16)\/14)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 3670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 430061901\/14 + -61088161\/2. Let s = h - 174982. Let k = -357 - s. Find the common denominator of 79\/6 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252137?\nAnswer: 89, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-132) - ((-5894)\/(-330) + -14)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 - 3*t - 4971. Let d be g(0). Is (9\/3)\/((-9)\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*(-9)\/(-6). Suppose 2*y + 4*p + 4 = 0, -y - b*p - 2 = 4*y. Suppose 19 = -y*n + n. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 - 5*d**3\/3 + 5*d - 242. Calculate a(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 110623156*t**3 - 663738984*t**2 - 1327478000*t - 884985344.\nAnswer: 2*(t - 55311584)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 11*u + 15*u + (-2 + 2 + 1)*(3*u + 0*u - u) as w*u + c and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 5\/3*h**3 + 0*h + 0*h**2 + 14\/5*h**5 + 0*h**4 + 8. Find the third derivative of u(a) wrt a.\nAnswer: 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 10 + 1 - 2 + 3 + (-1 - 5 + 5)*(4 - 3 - 2))*(11 - 5 + 2)*(2*y - 7*y - 2*y) to c + a*y and give a.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 288, 284, 278, 270, 260?\n\"Answer: -u**2 - u + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*r**4 - 36*r**4 - 7*r**3 - 45*r**4 - 1 - 7*r**2 - 60*r**4 - 47*r**4 to o + x*r**4 + d*r**3 + j*r**2 + s*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138164, -276348, -414532, -552716?\nAnswer: -690900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -307187, -614252, -921327, -1228418, -1535531, -1842672?\n\"Answer: -d**3 + d**2 - 307061*d - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -11555.\nAnswer: -11555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/4))**(-5\/7)*(b*b**0*b)**(-40) assuming b is positive.\nAnswer: b**(-2265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 938180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 63, 84, 105, 126, 147?\n\"Answer: 21*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2766485, -5532959, -8299433, -11065907, -13832381, -16598855?\n\"Answer: -2766474*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:21 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 - 6858.\nAnswer: -6860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94531961*u**4 - 220540115.\nAnswer: -378127844*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1953? (a) 0.1 (b) 1\/3 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 5*o**2 + 7*o**3 - 9*o**3)*((o + 2*o - 2*o)*(-7 + 2*o + 7) + 13*o**2 - 178 + 178).\nAnswer: 30*o**5 - 75*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + a = -7, -37 = 39*o - 35*o - 5*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 4:03 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10063973*s - 15587071 wrt s.\nAnswer: -10063973","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 434958638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 6*d + 470. Let j(t) = -2*t**2 + 7*t + 9. Let h be j(8). Let n = d - h. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32746700 to the nearest one hundred thousand.\nAnswer: -32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17474166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-324)\/63)*132\/11\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229579119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57826 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 3, r: 4, o: 2, h: 1}. What is prob of picking 1 g, 1 h, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/7)*a**(2\/15))\/(a**(-1))**(8\/9) assuming a is positive.\nAnswer: a**(682\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-98) + 905\/105*-3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0918 - -1.9082. Let w = -0.0111 + 1.0111. What is the closest to w in 0.2, -2, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2\/9 (c) -13 (d) 3\/2 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 5*l**2 + 6*l - 1. What is the units digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2936.9 and -3610.4204.\nAnswer: -6547.3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(1 - -3). Suppose 0 = 5*l - 2*l - 54. Suppose h*k + 6 = l. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-898700)\/(-25080)*(-6)\/5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 29. Let n = 6 - g. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 + (-7)\/(-4). Let j = 8 - 5. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 13*m**2 + 6*m + 24. What is the units digit of n(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11167, -11166, -11163, -11158, -11151, -11142, -11131?\n\"Answer: g**2 - 2*g - 11166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 6:55 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.1541389 - -1.1541384. Let i = 3 + y. What is i rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -54*p - 587. Let z(h) = 87*h + 881. Determine 8*r(x) + 5*z(x).\nAnswer: 3*x - 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.229, 0 in ascending order.\nAnswer: -3, 0, 1.229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -2, 2\/13, -1\/269 in ascending order.\nAnswer: -34, -2, -1\/269, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/53, 8, -0.061?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2 + 504*x + 17974 = 0 for x.\nAnswer: -209, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 22, -13, -86, -209, -394, -653?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 302948?\nAnswer: 302953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.02 + 1.8395. Round k to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 2*p**2 + 7*p - 10. What is t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {y: 6, c: 6, v: 1, j: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 519382 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 574971936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18138056.\nAnswer: 2, 2267257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 5 + 12*s + s**3 - 15\/2*s**2. Differentiate w(m) with respect to m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -852, 285, 3166, 8319, 16272, 27553?\nAnswer: 42690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4 and 29\/142310.\nAnswer: 284620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 10*o**2 + 12*o + 9. Let g be d(-11). What is the second biggest value in -2\/5, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*s - 6 + 6 - 116*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 375409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*v - 2*v, 0 = 5*m + 5*v - 20. Which is greater: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -m + 6. Let v = 9 - m. Let i = v + -4. Solve i*d - 6*d = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591906 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - (-2 + (6 - 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v\/((v*(v**(-3)\/v*v)\/v)\/v)))*v*v)*v*v)*v**5)\/((v*v\/(v**(-3)*v))\/(((v\/(v*v**2*v))\/v)\/v)) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tllt when four letters picked without replacement from tlltlttltlll?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2491 is divided by 824.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3*10\/15)*(-1540)\/(-440)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -168*w - 3. What is the remainder when g(-1) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/50 + (-12)\/40.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22927446 a multiple of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.24 - -38. Let d = j + -0.06. Let g = d + -3.7. What is the nearest to 0.1 in 1, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 13) to base 8.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1171588, 2, 0 in descending order.\nAnswer: 2, 0, -1171588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m + 3. Suppose 340 = m*t - 284. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34fa (base 16) to base 3\nAnswer: 200121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92424 is divided by 744?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(39)*-2)\/sqrt(3) - sqrt(117)\/(sqrt(9)*-1) - ((sqrt(13) + 1*sqrt(13))*-4 + -2).\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 1107.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 441a9 - -1a04?\nAnswer: 46102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664956 is divided by 147.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {g: 5, l: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 2. Let l be (5 + -5)\/(1\/(-1)). Let y(d) = -d - 1 + l + 0. Let t(a) = 2*p(a) + 4*y(a). Let x(c) = -c. Give x(t(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 2. Suppose 12*f - 6 = 15*f. Let j be k(f). Suppose 4*o - 12 = -0*o. Put -2, o, j in descending order.\nAnswer: o, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 - x + 18. Let m be l(-8). Let q = -33 - m. Suppose 3*t - 325 = -4*s, -q*s = 2*t - 7*t + 495. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 - 79 = 24*o. Solve o*t - p = -20, 0*t = -4*t - 5*p + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:42 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 5*s - 2. Let t be y(3). Suppose -t*m + 16 = -0*m. Solve m*v + 7 = 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = -70*j - 294 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 172972+-0.19\nAnswer: 172971.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 239 (b) -0.11 (c) 8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/3)\/z*z)*z**(1\/3)*z*z)\/((z*(z*z**(-6)*z)\/z)\/(z*(z*z**(-2\/5)*z)\/z)) assuming z is positive.\nAnswer: z**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 5. Suppose 0*c = c + 5*i + 21, 3*i + 9 = 0. Determine d(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3015555 (base 6) to base 15\nAnswer: 2c38e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51834850.\nAnswer: 2, 5, 19, 54563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - (15 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25 - (9 - (-11975)\/750). Let h(t) be the second derivative of 0 - 1\/50*t**5 + 1\/75*t**6 + 1\/15*t**3 + 3*t - b*t**4 + 0*t**2. Factor h(o).\nAnswer: 2*o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5921*a**4 + 915.\nAnswer: 23684*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -924, -1081, -1320, -1623, -1972, -2349, -2736?\n\"Answer: 3*j**3 - 59*j**2 - j - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 4*v. Let m be g(-4). Suppose -3*d = 4*w - 121, -57 = -2*w - m*w - 5*d. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 34583710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(24) - (sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192) + 1*sqrt(192) + sqrt(192))) - sqrt(192))\/sqrt(8))\/(-2*sqrt(72)*-2) + 2.\nAnswer: -sqrt(3)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 0 - 32*d**2 - 4 - 17.\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -1, -4, 3.\nAnswer: -11, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 - -39) + 2)\/1. Let i = 7 - 4. Suppose -6 = -t + y, 8*t = i*t + y + 26. What is the greatest common divisor of h and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n = 37*n. Let f be 27 + (-7 - (-7 - n)). Calculate the greatest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 4*p - 136 = 0, 0 = -4*r + 4*p - 256. Which is smaller: -52 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 - 2 = 0. Suppose 0*u = -o*u + 42. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(46\/(-460))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x, 12*x - 8 = -l + 11*x. Suppose 99 = z + 3*h, -7*z + l*z + 5*h + 75 = 0. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 94 - 176*v - 200 + 174*v.\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2 - 24\/(-14)). Let w = -839\/1950 + 63\/650. Which is the nearest to m? (a) w (b) -2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = -5*a - 1, -4*t - 64 = 5*a. Let f = -1 - t. Suppose 5*g - 5*w - 410 = 0, -232 = -g - 2*g - 4*w. Calculate the highest common divisor of g and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 8. Let s = 30 + -20. What is the highest common factor of s and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248561 and 25787.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/6)\/(1\/(-2)). What is the highest common divisor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103153678*g**2 - 51143*g + 928 wrt g.\nAnswer: 206307356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4629, 9282, 13935?\nAnswer: 18588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 82896*i\/5 - 858968352\/5.\nAnswer: -2*(i + 20724)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00622744 rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 3, u: 3, v: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 0.6. Let k be (-3 + 2)*2\/(-3). Let l = 19 - 17. Which is the closest to p? (a) k (b) 1\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 4. Let i be (-1 - 2)\/24 + (-315)\/40. Let y(f) = 7*f + 33. Let m(v) = -2*v - 11. Let s(b) = 11*m(b) + 4*y(b). Determine i*j(a) - 3*s(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/3 (c) -2 (d) -12\/119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5025 + 0?\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1833 and 987?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20498324 is divided by 10249158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 5*l - 2*l. Let u(v) = -v**2 - v + 1. Let g(f) = 12*f**2 + 3*f - 3. Let i(w) = g(w) + 3*u(w). What is i(k(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b + 21*b - 43 = 32*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2076 divide 504468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 106504 (base 8) in base 13?\nAnswer: 135cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(384))\/(3*(sqrt(33) - sqrt(33)*-1*-4)\/sqrt(11)).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 - 213. Solve -p = t - 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 101736*t - 83965280.\nAnswer: -4*(t - 24580)*(t - 854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 690814 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u + 4. Let p(j) = -1. Determine 4*p(d) + v(d).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 44768.\nAnswer: 313376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k. Calculate the smallest common multiple of z(2) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15444110 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:18 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d - 505. Let u = -1 - -10. What is the remainder when d\/4 - (-2)\/(-8) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1068)\/(-72) + -15)*(-112)\/4.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17402405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101557, 0, 4, -41.\nAnswer: -41, 0, 4, 101557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 814861059 and 1382?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219370 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201204 divided by -4.\nAnswer: 50301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -14. Suppose -3*w + 2*c + 5 = 0, 7*w - 2*w + 3*c = 21. Suppose 0 = w*l + 11 - 29. What is the smallest common multiple of l and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88254 and 3258?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - -2*sqrt(114)*1)\/(sqrt(6) + (2*sqrt(72))\/sqrt(12) + sqrt(6)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 3503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n = -6*n - 141 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 4 in decreasing order.\nAnswer: 13, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -35?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.88 + -46.88. Put -2\/91, 0.1, -8, t in decreasing order.\nAnswer: t, 0.1, -2\/91, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54*(-6)\/(-4)*2\/(-6)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 71 and -6.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:29 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149236216.\nAnswer: 2, 23, 31, 113, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/21 or 1.037?\nAnswer: -50\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 7*m**2 - 2*m - 9. Let h be s(-7). Suppose 0 = 2*q + c + 49, 5*c = 2*q - h*q - 84. Let b = q + 33. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -30*h - 3. Let b be v(-2). Let z = b + -54. What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2077054 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*(-2 + -1). Suppose -6*h + 2*h = -8. Let j be (-11)\/2 - h\/(-4). Sort 1, j, u in increasing order.\nAnswer: j, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 23, 0 in descending order.\nAnswer: 23, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(847) + sqrt(847) + 0.\nAnswer: 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 3*a**3 + 5*a**3 - 3 + 5 + 3*a**2 - 3*a**3. Let h be c(3). Solve -h*s - 14 = -u, 2*u + 6 = 6*u + 5*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 6 = 11*k - 4*n, -2*k - 3*n - 27 = 0. Let a(p) = -9*p**2 + 0*p + 3*p - 3 - p**3 + 7. What is a(k)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10) + (-11)\/110?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 7*n + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 268543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5\/7 + 1328*m**4\/7 + 1312*m**3\/7 - 3992*m**2\/7 - 6628*m\/7 - 2648\/7 = 0.\nAnswer: -331, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 8 + -10 + 4 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1586275.2 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/16)*i\/i**(11\/3)*i assuming i is positive.\nAnswer: i**(-89\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*p**2 - 4309 + 4309.\nAnswer: 415*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -730*j**3 + 368*j**3 + 366*j**3 + 4 as q*j + k*j**3 + c*j**2 + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 484564 = -5*c. Suppose c = 3*q + 1772282. What is q rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*c + 98, -3*z = c + 2*z - 24. Suppose -c = -2*l - 6. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a + 803 - 295 = -15*a - 1452 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141621\/20 + 7079. What is the common denominator of (-162)\/(-76)*3\/(-18)*-1 and l?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/2585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -729 divided by -3.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1, -3, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.192 rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871886 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12321 is divided by 179?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) -1\/9 (c) -7 (d) -4 (e) -0.4 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.958647 or -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 5, y: 2, o: 1, x: 7, g: 1}. Give prob of sequence sgxs.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*n - 16 = 72*n + 67*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93246052 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*f = 9, -f - 17 = -4*i - 2*f. Suppose 2*a - i*a + 6 = 0. What is the third derivative of 14*s**5 - 13*s**5 + 0*s**a - 2*s**2 wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6 + 8*l**2 + 9 + 8*l - 4 - l**3. Let p be y(9). What is the second derivative of 3*o + o - p*o - 3*o**5 wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 235*x**2 - 58*x - 177. What are the prime factors of k(-3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 218 + 62. Let x = 116 + b. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206755936 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162550 is divided by 1626.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19052.1 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1219776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/8 + 239*c**2 + 3069*c\/8 + 144.\nAnswer: -(c - 384)*(c + 1)*(5*c + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15447, 14981, 14519, 14061?\nAnswer: 13607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 96012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrbr when four letters picked without replacement from {a: 1, r: 3, o: 3, j: 2, b: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*i**9*(i**(2\/3))**3 assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1150, 5, -4.\nAnswer: -1150, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 divided by -509?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 7*b + 18 = b, -2*b - 5 - 9 = -6*b - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Let z = -17 - -26. Is b at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.682426 kilometers?\nAnswer: 68242.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 101\/11 + 4\/(-22). Suppose 13 = -t*d + 103. Calculate the remainder when 99 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-49)\/(-21) + -9)*-9. What is the greatest common divisor of 35 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a = -7. Calculate the remainder when a is divided by ((-19)\/(-114))\/(3\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.42015662 rounded to 2 dps?\nAnswer: -105.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*48\/(-32). Let d(g) = -3*g**3 - 4*g**2 - g + 4. What is the remainder when d(u) is divided by (-3)\/(-15) - (-29)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12719 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70.2 + -63. Let o = 7.242 - l. Round o to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*a + 6 + 10, -3*j - 8 = 5*a. Calculate the remainder when 6 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 170863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6337723 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -114. Let p(q) be the first derivative of q**3\/3 + 3*q**2\/2 + 4*q + 1. Let z be p(-3). Solve -k = 5*a + 27, 0*a + z*a = -3*k - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 52*p**3 + p**2 + p - 4. Let u be h(2). Suppose -56 - u = -6*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - (-20944)\/102. Calculate the greatest common factor of n and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**5\/7 - 3771*b**4\/7 + 1433241*b**3\/7 - 149578893*b**2\/7 + 227859156*b = 0.\nAnswer: 0, 12, 147, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 158832.\nAnswer: 158832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6068*u - 13*u**2 + 3*u**2 + 5*u**4 - 27*u**5 - 5*u**4 + 4534*u wrt u?\nAnswer: -540*u**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from krhkkhrrhrkrkhkrkhh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1262047 - 2211415 = -122*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*n - 265, n + 2 = -n. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -202.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3633*x - 315701 = 1657*x + 419781 - 116552 for x.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s. Let n(u) = -3*u**2 + 2. Suppose 0 = 3*f + 21 - 6. Let k(x) = 7*x**2 - 5. Let h(c) = f*n(c) - 2*k(c). Calculate h(i(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 1\/8 (c) 414 (d) -0.4 (e) 1033\/4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1169877877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s - 2*s**2 + 10*s + 2*s + 5. Let c be j(9). Let g = -30 - c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66598 is divided by 95?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 4*f - 160 = 0. Let u be -37 - (2\/(-10) - 18\/10). Let m = f - u. Let r(b) = 2*b + 7. Give r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 8*j - 11. Let d be r(10). Let s = -6 + d. Let t(w) = 1821*w - 1821*w + s*w**2. Let p(x) = x**2. Determine t(p(c)).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3537 by 5.\nAnswer: 3537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - -10?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7388*i + 3033. What is the tens digit of k(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -40. What is the nearest to -2 in 2\/9, 2, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45388, 90768, 136166, 181588, 227040?\n\"Answer: b**3 + 3*b**2 + 45364*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 92*u**3 - 90*u**3 + u**4 - 6*u**4 to w*u + q + n*u**4 + z*u**2 + d*u**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -941, -1104, -1553, -2432, -3885, -6056, -9089, -13128?\n\"Answer: -24*l**3 + l**2 + 2*l - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61713081.61 and -4.\nAnswer: -61713085.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-930)\/(-3) + (-2 - 0). Suppose 0 = 5*u + z + 701, 394 + i = -5*u - 2*z. Calculate the remainder when ((-12)\/30)\/(2\/u) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*w + 32*w + 70*w.\nAnswer: 191*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.769.\nAnswer: -0.3076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 20*o**2 - 4*o + 2. Let w be q(2). Suppose -155 = -3*n - 29. Suppose -5*a = -n - 143. What is the highest common factor of a and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 28 - 9 = -69 + 12, -5*q = -5*t + 95 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*t*v**2 - 986*i*t*v + 2*i + 2*t*v**2 + t*v + 3*t - 27 wrt i.\nAnswer: 2*t*v**2 - 986*t*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - t**2 + 50*t**3 + 4*t**2 - 42*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1231 + -1229. Which is the closest to 1? (a) -4 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25772 and 2274.\nAnswer: 77316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 17. Let c(j) = 1491*j**2 - 2371*j. Determine b(c(i)).\nAnswer: 1491*i**2 - 2371*i + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.12 (c) -0.3 (d) -2789\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:02 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136 and -0.2.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 111. Let z(v) = -9*v - 477. Let l(b) = -26*s(b) - 6*z(b). Determine l(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 39.999949. Round j to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 1570*z + 1575*z = -65, 0 = z - 2 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -1\/9 (c) 7 (d) -1\/5 (e) -0.055 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*j + 16. Let o(s) = -s**2 + 11*s + 64. Let a be o(15). Suppose 4*b - j*q = 30, 0*b = a*b - 2*q - 36. Solve -2*k = -4*k - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7430908?\nAnswer: 2, 349, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 856 and 1453488?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142908?\nAnswer: 2, 3, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 333278.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 5. Let q be x(-9). Round q to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/60)\/((-3)\/303). Let y = 21\/5 - u. Find the common denominator of -13\/22 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750 and 400?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49320 and 26406.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 107*l - 8. Give p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**5 - 5 + 5 + (0*w**2 - w**2 + 0*w**2)*(-w**3 + 5*w**3 - 3*w**3 + 2*w**3 - 3 + 3 + (-2 + w + 2)*(-4*w**2 - w**2 + 4*w**2)).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3*d*d)\/d*d**(-3\/8))**(-5\/9)\/(d**(-3)*d*d**5*(d**(-1\/2))**(-8\/11)) assuming d is positive.\nAnswer: d**(-4259\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/(-15)*(-19 - -39). Let t = 1392 - x. Calculate the greatest common factor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.1 (c) 16.40924 (d) 5\/3 (e) 0.4 (f) -1\/2 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.5, 0.2066, 5, 1, -1\/5?\nAnswer: 0.2066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/360 - 7*y**5\/120 + y**4\/8 + y**3\/2 - 6*y**2. Let n(l) be the first derivative of g(l). What is the units digit of n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 6. Let y(d) = d. What is -i(u) - 6*y(u)?\nAnswer: -2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9316292 - 2682.8019292. Let w = 2678 + m. What is w rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 701681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65.6 + 69.6. What is the biggest value in 0, j, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83763?\nAnswer: 3, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f + 40. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1432326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*v = 3*v - 135, 5*v = 4*w - 225. Calculate the greatest common divisor of w and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -69, -12\/5, -0.5, -5, 1598?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 + 1128*f - 5188. Calculate h(221).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 16*z = -4. Suppose -4*v + 7*v = 5*p - 25, z*p = 4*v + 28. Suppose -135 = -5*i - 5*w, -2*i = 3*i + p*w - 138. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o + 34. What are the prime factors of x(-7)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 17*i**2 - i + 32. Let f be r(17). Suppose 144 = c - 2*s, -14*c - 150 = -f*c + 5*s. Calculate the remainder when c is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 2\/7 (c) -1\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 1 + 0*c**2 + 4*c**2 + 1 - 2*c**2 - 3*c**2 + 9*c**2 + (-2 + 2 - 2*c)*(c + 0*c - 3*c) - 75*c + 75*c - 9*c**2.\nAnswer: 3*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2445 and 0.4?\nAnswer: -0.0978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, x: 5, d: 4, a: 1}. What is prob of sequence xxa?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by (1*-10 + 3)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - f - 6. Let h(r) = -5*r**2 + r + 7. What is 6*h(i) + 7*v(i)?\nAnswer: 5*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-2\/63)\/(i**1)**(-7\/6))**(-20) assuming i is positive.\nAnswer: i**(-1430\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5) - (-721)\/35) + -3. Suppose 2*z - 33 = -7. Let v = 67 - z. What is the greatest common factor of v and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2352) + 3*sqrt(2352))**2 - (sqrt(75) + ((-5 + -2*sqrt(75))**2 - sqrt(75))))*-6.\nAnswer: -223842 + 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2009368 - -5?\nAnswer: -2009363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 28*v**3. Let b be g(-1). Let i = b + 65. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a - 5*a + 22*a - 84 + 332 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*k + 8, 10 = -3*k + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.677 times -16114\nAnswer: 10909.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41776104 and 6904.\nAnswer: 41776104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-67 - 33) - -28.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**4 - 28*z**3\/3 + 4*z**2\/3 = 0.\nAnswer: -2, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -39. Let c = s + 40. Is (2\/c - 0)\/(23\/(-1334)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 510*m**2 + 2*m - 521*m**2 - 2*m in the form l + n*m**2 + w*m and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.4 (b) -1\/12 (c) -8 (d) -0.5 (e) 1\/3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z + 321*z**2 - 22*z - 325*z**2 - 5 + 1113*z**3.\nAnswer: 1113*z**3 - 4*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*u, 21 = 3*r + 2*u - 20. What is the remainder when 38 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 25. Suppose 0 = x*m + 4*c - 12, 2*m - 6*m - 3*c + 10 = 0. Let v = 117 + -113. What is the greatest common factor of m and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846790.5ml to litres.\nAnswer: 846.7905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x + 4*x**2 - 41*x**2 + 29*x**2 + 120.\nAnswer: -8*x**2 - 24*x + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r + 72. What is u(16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20410676.\nAnswer: 2, 11, 13, 17, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r + 47. Let k be g(3). Let y = 43\/138 - -12\/23. Sort -1\/3, k, y, 3\/7 in increasing order.\nAnswer: k, -1\/3, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2091265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 15*n**2 + 21*n + 82. Let o be c(-16). Which is greater: 13\/6 or o?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, i: 2, s: 6}. Give prob of sequence bs.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Suppose -q + 0 = -5*b. What is the tens digit of -1 + 19 - b - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6018, -6034, -6060, -6102, -6166, -6258, -6384, -6550?\nAnswer: -6762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 9. Let z be y(7). Let g(n) = 4*n**2 - 3*n - 5*n**z + 3*n. Let o(s) = 4*s. Calculate o(g(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 - 0.04?\nAnswer: -1152.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 5. What is the third biggest value in -0.1, 2\/3, s, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29033, 59738, 90443?\n\"Answer: 30705*b - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 971\/2931 + 44\/(-132). Let t = -45929\/4885 - w. Let p = 907 - 6375\/7. Find the common denominator of p and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aanpannaaappaanaannp. Give prob of sequence nnpp.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from ewdwdewdddeewde?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmffhmmfrffffhmfv. Give prob of picking 1 h, 1 m, and 2 f.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let b = k + 0. Let g be (-3)\/(2*-1 + b). What is the third biggest value in -1\/2, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3557, 14213, 31975, 56849, 88841, 127957?\nAnswer: 174203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 103*b**4\/4 + 1537*b**3\/3 - 3*b**2 - 198*b. What is the first derivative of h(d) wrt d?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 72 = 4*f + 36, -3*l = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/168 - 73*i**7\/210 - 797*i**5\/60 - 6*i**2 + 89*i. What is the third derivative of t(y) wrt y?\nAnswer: -120*y**2 - 1752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/7 - 4\/(-14). Let u = s + -2. Let g be ((-10)\/4)\/(3\/(-6)). What is the closest to 0.1 in -2, g, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d - 15 = 2*q, -5*q - 2*d + 15 = 0. Let j be 21\/28*(-8)\/(-3). Suppose 4*c = -0 + 4. Solve q - c = j*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:29 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i + 56. Solve 0 = 2*h + i*u, h = u - 14 + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 83*a**2 - 5*a + 3. Let i(q) = 167*q**2 - 12*q + 5. Give 3*i(m) - 5*y(m).\nAnswer: 86*m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 2. Let c(p) be the first derivative of 13*p**3\/3 + 9*p + 1. Let l = -13 + 22. Give l*b(z) + 2*c(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k. Let j(d) be the third derivative of d**7\/5040 - d**5\/60 + 2*d**2. Let g(i) be the third derivative of j(i). Calculate g(c(f)).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*h + 3751 - 5*h**4 - 34*h**2 + 0*h + 59*h**4 + 2*h**3 - 3751 wrt h?\nAnswer: 1296*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = 5. What is the smallest common multiple of 7 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*o**4 + 2*b + 71*o**6 + 38*o**2 - 1 wrt o?\nAnswer: -144*b*o + 8520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.06, -20, 2715, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128017 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h. Let d(r) be the third derivative of -1\/8*r**4 + 0 + 0*r + 0*r**3 + 5*r**2. Give m(d(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o + 2*o + 4*o - 20*o - 9*o.\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, g: 3, q: 1}. Give prob of sequence bqbb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -11424\nAnswer: 399840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4 + 7)\/(-3))\/(-1). Suppose -4 = -2*m + 3*d, -5*m - 8 = 2*d + p. Is m > -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-330))\/(7\/(-10))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, 4\/57, 11, -2\/9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.03 and 1083.519?\nAnswer: 1088.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.72082kg in micrograms?\nAnswer: 4720820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2904 at least as big as -2905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1144, -1545, -1946, -2347, -2748?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*n = -2*n + 55, 499*g - 492*g + 3*n + 14 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19520 = 17*x - 7408. Calculate the common denominator of (8 - 1)*x\/2156 and -47\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13784.03999936 + 13784. Let d = 0.04 + g. Round d to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259825 and 47589.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*n, 0 = -3*z - 207*n + 205*n - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/11 + 2218*u**4\/11 - 202*u**3 - 2218*u**2\/11 + 2220*u\/11 = 0.\nAnswer: -1110, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 22 = -6*u + t, 0 = -5*u + 3*t - 34. Let r be (u\/(-10))\/((-8)\/(-100)). Suppose 2*d = r, -7 + 37 = -5*f + 4*d. Is f less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 271680.4 weeks in nanoseconds?\nAnswer: 164312305920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 7. Let f be b(5). Suppose 0*d + 44 = 4*h + f*d, -4*h - 4*d + 48 = 0. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let m(z) = -z**2 - 9*z - 19. Let g be m(-6). Which is bigger: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, d: 1, j: 3, t: 5, k: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3786188546.91 take away -0.4?\nAnswer: -3786188546.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 63. Suppose 5*q + c + 5 = -i, -3*i + 13 = -4*q. Put -1\/5, q, 1 in decreasing order.\nAnswer: 1, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 53\/(-3*17\/(-3)). Let g = z - -647\/136. Find the common denominator of 10*1*15\/18 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1585*q**2 - 62*q**2 + 2012*q**2.\nAnswer: 3535*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 5*x + 1. Let g be o(-4). Suppose g = -5*f + 6*f. Suppose 7250000 = -0*h + f*h. Round h to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459769163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 302*m - 298*m - n = 8, 3*m + 4*n + 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999.0403 millennia to years.\nAnswer: 999040.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78351125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(2*2\/(-12)). Let p be (-7 - s)\/((-4)\/(-10)). Suppose -4*i + 22 = -p. What is the highest common divisor of 54 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*y = 8, 4*p - 3*y + 13 = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/6 and 99\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 34 = -26. Suppose 120 = 8*g - c*g. Let p = g + 11. What is the highest common factor of 287 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = 2*y. Let t = -104397 + 104394. Sort -14, y, t, -2 in decreasing order.\nAnswer: y, -2, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + -41. Let u = x - -127. Solve 3*z - u = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 332424946*t**3 - 386644088*t wrt t.\nAnswer: 1994549676*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1040 and -59\/716716?\nAnswer: 14334320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 43 + 24 + 19.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1668 = -2*g. Suppose 4*h + 3*r = 1664, -r = h + h - g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhyooggyoooo. What is prob of sequence gg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 0*w - w + (-3*w + 3*w - 2*w)*(0 + 1 + 0) - 4*w + 5*w - 2*w + 6*w - 5*w + w + w - w + w + 10*w - 3*w - w - 6 - 4 + 3233*w - 1 + 0 + 11.\nAnswer: 3241*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/216603558 and -25\/48134124.\nAnswer: 433207116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 152 (c) -37603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1623, -1703, -7243, -14997, -24965, -37147?\n\"Answer: -1107*j**2 - 5*j + 2735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 7*c - 7. Let u be i(8). What is the greatest common divisor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 3)*28\/(-21). Let f be (-6)\/(-4)*4\/(-6). Let h = f + q. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62071 (base 8) in base 4?\nAnswer: 12100321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 220.4075, 182 in descending order.\nAnswer: 220.4075, 182, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.98 + -0.02. Let d = y - -2. Let w = 48.9 - 49. Which is the third biggest value? (a) d (b) -2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 70. Let q be z(24). Find r, given that 3*r**2 - 723*r**5 + 44*r**3 - 40*r**4 + 719*r**5 + r**q - 4*r**2 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daal when four letters picked without replacement from llaldalalaa.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-65)\/25 + 3)*(-2)\/4. Let u = 185 - 560\/3. What is the third biggest value in u, f, 5, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156318013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 10. Determine t(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 26. Suppose p - 77 = -2*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -879 - -784. What is the second biggest value in f, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9177 + -6302. What are the prime factors of j?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008702 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from vvvdvvvvvdvvvvvvdvd.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594770967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56208 divided by 16?\nAnswer: -3513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 21*s + 19*s - 23 - 22 - 72 in the form v + j*s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -48*i - 73*i + 1302316. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:32 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 95*f + 31. Let p be n(32). Which is smaller: 112\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 54, 63?\n\"Answer: 9*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a + 3*a)*(-5 + 0 + 3) - 54 + 54 - 8*a**2 + (-2*a + 4*a - 3*a)*(2*a + 0*a + 0*a) + (a + 5 - 5)*(4 - 4 - 2*a) - 3*a**2 + 4*a**2 + 6*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-969)\/(-540) + ((-29)\/((-3248)\/(-2884)) - -24)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-17544)\/(-85)*(-9)\/6*-5 and 1204?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = g + 2*h, -2*h + 182 = 3*g + 3*h. Calculate the greatest common factor of 81 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:36 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2933*v**3 + 0 + 4 - 4.\nAnswer: -2933*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n**3 - 5*n**2 - 15*n + 109. Let p(o) = 5*o**3 + 3*o**2 + 9*o - 56. Calculate 3*j(h) + 5*p(h).\nAnswer: -2*h**3 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*q = -25, -q - 20 = -7*j + 4*j. Calculate the remainder when 18 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -576, -624, -672, -720?\n\"Answer: -48*a - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56629 (base 11) to base 10.\nAnswer: 81948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 1}. What is prob of sequence yrr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 108 - 108 + 18*q + (40*q + 53*q + 3*q)*(0 + 1 + 1).\nAnswer: 210*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeekkekee. What is prob of picking 1 k and 3 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*i*y**2*z - 14*i*y*z**2 + 109*y**2*z**2 - 5*y**2*z with respect to i.\nAnswer: 25*y**2*z - 14*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456 + 11*i**3 - 2920 + 1456.\nAnswer: 11*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/55)\/((-2)\/(-10)*-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -45\/343357 = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 bigger than -2153\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3818 and 4150?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 91800*f. Let p(o) = 11*o**2. Give k(p(d)).\nAnswer: 1009800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47 + -18 + 0 - -6. What is the greatest common divisor of 42 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3408*m**2 - 48*m + 16. Let o(s) = 682*s**2 + 9*s - 3. Give 16*o(v) + 3*r(v).\nAnswer: 688*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*l - 2*l + 190, x = -2*l + 194. Suppose -2*v - 1 + 3 = 0. Let z = v - -17. What is the greatest common divisor of z and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -510 + 784 - v**4 + 1479*v**3 - 10*v**2 + 8*v**2 - 2*v wrt v.\nAnswer: -24*v + 8874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 6137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4*h = 4*m - 5272, 3944 = -3*m - h. Round m to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6879251, -6879263, -6879275, -6879287, -6879299?\n\"Answer: -12*i - 6879239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 + d**3\/6 + d - 860. Let l(h) = 24*h**3 - 12*h. Give l(o) + 12*t(o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013692 rounded to seven dps?\nAnswer: -0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 42. Let t be p(-21). Let w be (-1 + t)*(-456 + 7). Is (w\/4)\/(115\/(-20) + 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2 + sqrt(76)\/sqrt(4))**2 + sqrt(19)) - (-2 + (sqrt(95)\/(sqrt(20)\/sqrt(4)))**2)) + -2 + 2*sqrt(133)\/(-5*sqrt(7)*-2).\nAnswer: -74*sqrt(19)\/5 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 - 1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 427*u**2 + 21*u - 595. Let f(d) = 3*d - 3. Let n(a) = -7*f(a) + t(a). What is the derivative of n(l) wrt l?\nAnswer: 854*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*j + 91*j - 8100. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1401 or -1130?\nAnswer: -1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + (4 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/3)\/(15\/12))\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06 times 3474?\nAnswer: -3682.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 + 41?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j - 792 = -3*a, -5*a + 98 = -4*j - 118 + 144 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + c + 2*c + 13 = 0, 4*x - 4*c = 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 20\/10)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71424ug in milligrams?\nAnswer: 0.00471424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 393 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 91 - 99 = 4*o, c = -2*o + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 32*n + 36. Let z be u(-17). Let h(a) = 459*a**2 + 3*a + 1. Is h(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/7)*x*x*x**(-7)*x**(-5\/6)\/(x*(x*x*x\/((x\/x**6)\/x)*x*x)\/x*x) assuming x is positive.\nAnswer: x**(-761\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9452.58*-0.252\nAnswer: -2382.05016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012210211100 (base 3) to base 9.\nAnswer: -1183740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.69 and 199.55.\nAnswer: 935.8895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 109*s**3\/3 - 64*s + 57. What is the derivative of i(c) wrt c?\nAnswer: 218*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*k = -k + 1, 3*f - 5*k + 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/135870 and -19\/220?\nAnswer: 2989140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = -4*o + 2. Let x = 65 + o. Suppose 6*j + x*j - 258 = 0. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l = -7*l - 6*l + 225 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7 = -18. Let z(t) = 15*t + 2. Let g be z(n). Let h = g - 54. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 261321.4 to the nearest 100.\nAnswer: 261300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2 - (-19)\/(152\/4320)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**3*t + 62*d**3 + 3*d**2*t - 1667*t - 62 wrt t.\nAnswer: 5*d**3 + 3*d**2 - 1667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9 and 0.0828?\nAnswer: 2.9828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3738 (b) 2.8 (c) 1 (d) -2 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -5)*(-35 - 1). Let q = -110\/3 + v. Which is the closest to 0? (a) q (b) -1\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -5*r + 5*q, 0*r + 3*r + 5*q - 90 = 0. What is the greatest common divisor of 42 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1534.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 61*a - 63*a + 10248, 0 = 4*d. Is a a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37045 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: What are the prime factors of 18341399?\nAnswer: 18341399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 8*p - 24. Suppose 5*k + 4*i + 9 + 2 = 0, 0 = -2*i + 2. Let o(x) = x**2 - 3*x + 8. What is k*b(g) - 8*o(g)?\nAnswer: -2*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b)**(-2\/111))**4 assuming b is positive.\nAnswer: b**(80\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 - 77*f**2 + 16*f + 32. Give v(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/2520 - 11*f**5\/60 - 22*f**2. Let r(d) be the third derivative of z(d). Let x(v) = -22*v**2. Calculate x(r(t)).\nAnswer: -88*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.800083 + 3.8. What is m rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-16)\/j*(j**6*j*j*j)\/j assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**4 + 147*m**3 - 2727*m**2.\nAnswer: -96*m + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*k**3 - 55*k + 82*k**2 + 76*k**2 - 173*k**3 - 158*k**2 wrt k.\nAnswer: -828*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*d**2*v - 9*d**2 - 7*d*v**3 - 11*d*v + 388029*v**3 + 3 wrt d.\nAnswer: -48*d*v - 18*d - 7*v**3 - 11*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let x be (-2)\/l - -2 - -1. Let y(a) = -4 + 2*a**x - 1 - a**3 - 5*a**2 + 4*a. What is y(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 7:11 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*v + 46 = 0, -5*z - 1554*v + 1553*v = -68 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 6*u**2 + 6*u - 9. Let g be l(-7). Let o be (g\/(-3))\/((-2)\/138). What is the units digit of 0 + (0 - -1) - o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9 - -b?\nAnswer: c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 - 1281*o**2*t**3 + 6*o + 5051*t**3 with respect to o.\nAnswer: -6*o**2 - 2562*o*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330100 + 0?\nAnswer: -330100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -69*i**3\/8 - 1929*i**2\/4 + 4269*i\/8 - 171\/4 = 0.\nAnswer: -57, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 37420685*b - 74841390.\nAnswer: 5*(b - 7484139)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -725.53151 - -735.53150888. Let h = 14 + -4. Let x = h - g. Round x to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) + (5 - 3). Suppose 3*j + 4*o = 88, 136 = -0*j + t*j + 4*o. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 3*b**2 - 7*b + 9. Let t be y(-8). Let n(h) = 22*h - 88. Let z be n(-3). Let l = z - t. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 2. Let h be m(-2). Let r = 1 + 0. Let o = -0.03999 - 0.06001. Which is the nearest to o? (a) 1\/8 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 29, 38, 47?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 + 3*u - 1. Let f(w) = w - 4. Let y be f(6). Calculate b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Calculate the least common multiple of h and (-2)\/(-3)*270\/20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 6*u**2 + 4*u - 4. Let z(t) = t**3 - 3*t**2 - t - 1. Let x be z(3). Let p = -50 + x. Let v be 18\/45 - p\/(-10). Calculate d(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2*(-5)\/(-320). Which is the smallest value? (a) -3\/5 (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6050 divided by -558.\nAnswer: -3025\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 16, 7*b - 6*b - 5*m = 71. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3040 - -101130?\nAnswer: 104220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -3. Solve -2*t + k = -3*s, s + 0 = 3*t - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**1*b)**(15\/2))**(-8\/7))**(-3\/32) assuming b is positive.\nAnswer: b**(225\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -36, 165, 0 in descending order.\nAnswer: 165, 3, 0, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22 - 4 + 37*u - 65*u. Let f be j(-18). Suppose -2*x - 4*l + f = -0*l, 0 = -3*x - 5*l + 785. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 - 18*a + 13. Let p be j(13). What is the hundreds digit of 2\/(-7) + (-13)\/(p\/(-34100))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 5*n**2 + 1. Let d be y(-5). Let r be 18\/20*(0 - 1). Let h = r + 51\/40. Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-34))\/(26\/(-364) + 12\/21)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 91. Solve 0 = 4*d + r + 4 - 3, 5*r - k = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - i**5 - i**5 + (3 + 2 - 6)*(-2*i**5 + 0*i**5 + 0*i**5) + (2*i - i**3 - 2*i)*(8*i**2 - 8 + 8).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/3 - 448*o**3\/3 - 2828*o. Factor t(v).\nAnswer: 4*v*(v - 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/46)\/((-9)\/(-10) + -1). Calculate the lowest common multiple of 11 and -3 + 1\/(b*2\/(-290)).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10508 and 49\/142.\nAnswer: 10508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*l)*(-2*l + l + 0*l)*(l - 2*l + 0*l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3))**(-4\/7) assuming u is positive.\nAnswer: u**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -40. Let p be (-357)\/(-27) + 4\/o. Let v(s) = s**2 - 10*s - 14. List the prime factors of v(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from {d: 2, h: 3, a: 1, l: 5, j: 6, r: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0432 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 184 and -846.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 - 6. Let j = 7 - 5. Suppose -j*p + 0*p = -10. List the prime factors of s(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-40)*-5)\/((-1)\/(-3)). Solve 0*l + 5*l - 2*r = -j, l - 12 = -4*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17458588783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 41. Let f be n(-8). Let s = f + -77. Calculate the highest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 less than 2?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/36*3*(865280\/78)\/64.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3427 * 11\nAnswer: -37697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 + 5*w + 6. Let b be j(-5). Suppose -5*u + 0*u - v = 153, 4*v + 23 = -u. Let z = b - u. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -8.89.\nAnswer: 160.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 5*l**2 + l**2)*(1 - l - 1) - 26*l**2 + 6*l**3 + 4*l**2 + 15*l**2.\nAnswer: 9*l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000264317069 to 7 decimal places.\nAnswer: -0.0002643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiyitntntjjjn. Give prob of picking 1 i and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 11*u**2 + 3*u - 3. Let z(v) = -2*v**3 - 34*v**2 + 8*v - 8. Let m(l) = -8*c(l) + 3*z(l). What is the third derivative of m(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 324*v - 13413. What is f(-37)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056215211 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -462350 > -462349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18454*b**4 - 23945*b**2 + 441777543.\nAnswer: 73816*b**3 - 47890*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 761642.2mm?\nAnswer: 761642200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 33667*t + 1615932. Give m(-48).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-230)\/(-10) - -13) + -1 + 2. Let u(c) be the second derivative of 0 + 13*c**2 + 17\/3*c**3 + j*c. What is the derivative of u(x) wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d9a (base 15) in base 7?\nAnswer: 24535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, -1 in increasing order.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*k - 5*h + 4*h, -2*k = h + 1. Let v(f) = 9*f + 11 + 47*f**2 - 1 - 46*f**k + f. What is v(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - -7 - 19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + sqrt(175)*-1 + (-2*-2*sqrt(175))**2 - (-2*sqrt(175) + -1 - (sqrt(175) + -1)**2*-5)).\nAnswer: 55*sqrt(7) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + 13*m + 18. Let q(d) = 9*d**2 - 25*d - 35. Let t(w) = 4*q(w) + 7*y(w). Let b be t(10). Let x = b + 12. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17153, 34478, 51803, 69128, 86453?\nAnswer: 103778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3817 = -3*u - 8183. Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 70093 = -7*f. What are the prime factors of f?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 12*s**2 + 8*s - 27. What is l(11)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 13*n**2 + 3*n - 9. Let m be f(-6). Suppose m*j - 112 = -5*j. What is the least common multiple of j and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -13. Let f(w) = -w**3 + 18*w**2 - 34*w + 297. Let n be f(17). Calculate the greatest common factor of n and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1076992 and -107\/159488.\nAnswer: 95852288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/15 - (-2)\/6. Let x(l) = -l + 2. Let n be x(0). Solve -2*o = -3*p - 3, -2*o = v*p + n*p + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 13}. Give prob of picking 4 r.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9012 - -9016.363. Round m to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 30. Suppose -5*r + 4*i + 11 = 0, -3*r + 7 = -5*i - c. Let x be r\/((-4)\/6 - -1). Is -3 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j - 4 + 4)*(1 + 2 - 1) - 3 + j + 3)*(2 - 227692*j - 2 + 223139*j).\nAnswer: 13659*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Let w(u) = -u**3 + 6*u**2 + 6*u + 2. What is the remainder when w(o) is divided by ((-2)\/(-4))\/(2\/52)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*j + 40, 5*k = 2*j + 33 + 25. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -727\/2 - -364. What is the closest to y in 0.204, -5, -0.4?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14297050.8 rounded to the nearest ten thousand?\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let n(u) = -378*u**2 + 130*u. Let k(t) = -376*t**2 + 195*t. Let x(g) = -2*k(g) + 3*n(g). Give d(x(h)).\nAnswer: -583696*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/60 + m**4\/24 - 2*m**2. Let s(x) be the first derivative of -x**3 - 3*x**2\/2 + x + 4. What is s(z) + 4*t(z)?\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13628, 27487, 41564, 55847, 70324, 84983, 99812?\nAnswer: 114799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47002.4 millennia to decades.\nAnswer: 4700240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 2)*((2 - 4 + 1)*(j + 3 - 3) - 50945 + 14103*j + 50945 - 890*j) to z + a*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 7*k**2 - 20*k + 110. Determine s(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 2*q - 3*q)*(1153 + 1215 - 2137) + (-1 - 2 + 1)*(-q + q - 2*q))*(-7*q**3 + q**3 + 3*q**3).\nAnswer: 2067*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(112) - (sqrt(112) + (sqrt(112) - sqrt(112)*-1)*4) - (0 + sqrt(112) + -2 + 3*(sqrt(112) + -1)))*-4 + 1)**2.\nAnswer: -13984*sqrt(7) + 948329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u = -178 - 263 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47068 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 are the prime factors of 66582287?\nAnswer: 157, 424091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - q + 6. Let l(p) = p**2 + 2*p - 4. Let o(w) = 3*w**2 + 4*w - 9. Let g(f) = 7*l(f) - 3*o(f). Let v be g(2). Determine y(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -926, -1855, -2786, -3719, -4654, -5591, -6530?\nAnswer: -7471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(0*p + p + 0*p)*(3*p**3 + 0*p**3 - 4*p**3).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31458 - -110881. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522237 (base 8) in base 2?\nAnswer: 1101010010010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 6*l**2 + 2*l - 13. Let a be b(-8). Suppose t - 5*j - 42 = 0, -5*t + a = -5*j - 51. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 6, f: 8}. What is prob of sequence sg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 1, t: 1, u: 4, q: 8}. What is prob of picking 1 z, 1 y, and 2 q?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*t + 480 = -30*t. Let f(g) = g**3 - 12*g**2 + 24*g - 24. Calculate the remainder when 63 is divided by f(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {j: 12, c: 1, u: 7}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-2)\/3*(-15 - -11). Does 3 divide ((-2)\/u)\/1*4*11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 < 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -76*f**2. Let q(z) = -2*z**2 + 2*z - 11. Give q(v(r)).\nAnswer: -11552*r**4 - 152*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 - 12.88?\nAnswer: 168.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*u**2 + 212256*u + 132561589 wrt u.\nAnswer: -28*u + 212256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 21 + 29 = 0. Suppose -2*p - 24 = 2*c, -4*c - 5*p - 34 = -8*p. Calculate the remainder when 20\/k - 286\/c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -3 - (0 + -90). Let h be ((-76)\/228)\/((-1)\/9). Let n(p) = 47*p**2 + 49*p**2 - i*p**2 + p**h - 6 + p. Give n(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 44516.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/330*-3*(-20)\/(-8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6916.046 milligrams?\nAnswer: 0.000006916046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2 + 54366*a + 54369 = 0.\nAnswer: -1, 18123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12719.7327 rounded to the nearest integer?\nAnswer: -12720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-15 - -17 - -4) + 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 0*r**5 + 1\/48*r**4 - r - 1\/120*r**6. What is q in t(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 8:02 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose -w*a + 1 = -11. Suppose 0 = 5*m + t - 133, -3*m = a*t - 8*t - 91. Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58554*m - 29241*m - 3240 = 29253*m for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/j**(-25))*j**(18\/13) assuming j is positive.\nAnswer: j**(-320\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**3 + 3*x**2 + x + 3. Let u(p) be the second derivative of p**5\/20 + p**4\/12 + p**3\/6 + p**2\/2 + 2*p + 4. Let h = 10 - 9. What is h*w(q) - 3*u(q)?\nAnswer: 5*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5638.166 litres?\nAnswer: 5638166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 - 352.9. What is the biggest value in 173, a, -5\/7?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.46 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14669 + -1.14669. Let u = 5 - 3. Which is the nearest to u? (a) -2 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-8)\/22) + 1. Solve 29 = -4*k + 3*v, -4*v + y = -0*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 59.28245kg?\nAnswer: 0.05928245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/5 + 64*j\/5 - 1024\/5 = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-36) + (88\/(-48))\/(-1). Let z(r) be the first derivative of -18 + 11\/2*r**2 + l*r**3 + 0*r. What is the second derivative of z(c) wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40681 + 140574. Is a 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 -17260, -18446, -19632, -20818, -22004, -23190?\nAnswer: -24376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*g = -2*b + 339, 4*b - 5*g = 448. Suppose -2*o = o - b. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6495 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9426 is divided by 148?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6 + 2. Let -3*x**2 - 52 + 11*x**2 - 4*x**c + 48 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m - 22. Suppose -5*h - 45 = 5*o, 0*h + 26 = -2*h - 4*o. Let y be s(h). Let q(l) = -l**3 + 15*l**2 - 7*l + 9. Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-18) + 2\/3. Solve -2*c - x - 5 = u, c - 3*x = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2135238 minus 0.94?\nAnswer: 6.2735238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 349*n**2 + 697*n. Let w be s(-2). Suppose x - t - 15 = 0, -2*x + 25 = t - 2*t. Solve 4*f + x = 2*p, 0 = w*p + 5*f + 31 + 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47178 is divided by 6722?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 17, -3 in descending order.\nAnswer: 17, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/4629 and -62\/33?\nAnswer: 50919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((648\/(-15))\/18)\/(6\/(-20)). Solve -3*l = -6, -3*g - y*l + 4*l = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -120. What is the remainder when 68 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 888\/143 + -70\/11. Which is the third biggest value? (a) -4 (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 159*h + 48*h**2 + 4*h**4 - 87*h - 88*h - 64 + 28*h**3 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -1.7\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 315\/(-54)*2\/(-310) and -65\/138.\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2834.\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*i + (137 + 0 - 9)*(21*i + 11*i + 34*i).\nAnswer: 8446*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2 - ((-3)\/(-6) + (-21)\/6)). Let s(h) = -2*h**3 + 2*h**2 - 2*h + 11. Let u(r) = -4*r**3 + 5*r**2 - 5*r + 23. What is q*s(k) - 2*u(k)?\nAnswer: -2*k**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5473548440 to the nearest integer?\nAnswer: 73983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/32)\/(2\/(8\/3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -0.2, 1\/6, -40.3 in ascending order.\nAnswer: -40.3, -37, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/2 of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817797 to the power of 1\/2, to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/60 - c**4\/3 + c**3\/2 - 3*c**2. Let y be d(-8). Suppose -4 = 6*a - 4*a, 69 = 5*g + y*a. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let d(o) = o**3 - 3*o**2 - 2*o + 2. Suppose 9*q - 20 = 4*q. Let x be d(q). Let n(c) = 3*c - c - x*c. Calculate n(r(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455345 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a = -9280 - 16560. Calculate the greatest common factor of a and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:37 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 + 56 = 0. Let g = m + 38. Suppose 0*r - 9 = -3*r, -r + g = 2*y. Solve 15 = -y*p - 0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.2. Let q be (-4)\/(-16)*-17 - -3. What is the third smallest value in -2, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191755?\nAnswer: 5, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9203652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 2326*t - 7 + 7.\nAnswer: -2332*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 904930 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 986 - 986. Let z = -5 + 0. Is d >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -23, -71, -151, -269, -431, -643, -911?\n\"Answer: -a**3 - 7*a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 6*c - c)*(9*c**4 + 5*c**4 + 0*c**4).\nAnswer: 70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693928.\nAnswer: 2, 127, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - 30*v**2 + 71*v + 23. What is the remainder when 4610 is divided by o(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let q = h - -3. Let f be (-4)\/14 + (-4)\/84. Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/30398 and -43\/18.\nAnswer: 273582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, 7.\nAnswer: -38, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8) - 16625\/2660.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4837 = 28*p + 4585 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*k**3 - 854*k**3 + 3*k - 307 + 128 + 177.\nAnswer: -1984*k**3 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10150853 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607 is divided by 2119.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68154731 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10.898. Let h = d + -105.898. Let r = 106.00000114 + h. What is r rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -40944*a**3 - 11*a**2 + 55. Let c(r) = 152442701*r**3 + 40955*r**2 - 204775. Determine -11*c(b) - 40955*x(b).\nAnswer: -8191*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97584744 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9262 + -0.7262. Which is the closest to f? (a) -1\/5 (b) -6\/11 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4475211?\nAnswer: 3, 13, 114749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(28)\/(sqrt(4)*1*-3) + -3).\nAnswer: 5*sqrt(7)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5 + 3. Let u be 6*(f\/(-4) + -1). Let n = u - -23. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -426514090.894 - -441918123.89937. Let i = c + -15404423. Let r = i - -390. Round r to 4 dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165926*i - 166492*i - 9056 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*d = -0 + 23, -j - 6 = 3*d. Let v(h) = -h**3 - 10*h**2 - 8*h + 7. Let p be v(j). What is the units digit of 1\/p*12\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79865614 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090863.548 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Let c be (-84)\/(-16)*(-8)\/b. Let y = -13 - c. Solve y = -4*r + 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 198 = 5*c. Let s = c + 21. Suppose 2*b + s = 2*o - 75, 131 = 4*o + b. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551160679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46679, -49455, -52231, -55007, -57783?\n\"Answer: -2776*b - 43903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593 - 550 = 3*t - 5*q, 2*t + 38 = -5*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) -11 (c) -236.891\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 4552*r - 4552*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = 5*m, 0 = o - 0*o + 3*m - 5. Let t be (-4)\/2 - (-7)\/o. Let i = 2.092 - 0.092. Which is the smallest value? (a) i (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-6)*-4)\/(-2). Which is the nearest to 2\/3? (a) 5 (b) z (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 31 + 44 + 5*l**2 - 32 + 23 to a*l + t + f*l**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 7. Let l = -4 + 7. Let d(r) = r**2 - 2*r - 3. Let o be d(l). Solve -5*p - x - 11 = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554.08 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 118557 divided by 13173\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 5*o. Solve -2*v + v - 5 = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 25 + (1 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -30*k**2 - 180*k + 25\/3*k**3 + 5\/4*k**4 + 195. Solve j(p) = 0.\nAnswer: -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342.3 + -364. Let s = n + 38.6. Round s to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 268 and 100.5.\nAnswer: 26934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1177.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 8*u**3\/3 + 3. Let a(o) be the second derivative of -o**3\/6 - 9*o - 5. Determine a(p(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 2*k + 2. Let r be (6\/(-2))\/((-42)\/56). Suppose r*f + 0*a - 4 = a, -f + 2*a - 6 = 0. Give c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n**2 + 9*n + 27. Let r(z) = -9*z**2 + 9*z + 24. Let x(h) = -4*k(h) + 5*r(h). Calculate x(-7).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 3*f + 2. Let k = -25 - -26. Let n be l(k). Suppose n*q + 154 = 697. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 22*c**2 + 155*c + 550. Calculate x(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 7. Let q be i(12). Suppose 2*t + 6 = q*t. Suppose 2 - 2*o + o**t + o - 2*o**2 = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.1 + -44.1. Which is the nearest to -0.1? (a) h (b) 0 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110329799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/16 - -2 - (-79310)\/(-642160). Let r = v - -24593\/21135091. Let m = -187881\/352822 + r. Find the common denominator of 55\/2 and m.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(4\/1)\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15991193 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33131 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -129.94 and -60.\nAnswer: -189.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 22. What is the tens digit of -15*(-4)\/(-9)*87\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -179*l + 14709832 + 1571113. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-2*(sqrt(9) - (sqrt(9) - sqrt(27)\/sqrt(3))) - sqrt(9))*-6 + 1.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y = -42*y + 49 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + -206. Suppose 2*j = -n*j. Solve -3*c + 4 + 11 = j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 39*v - 1158. Let h be b(29). Is -128\/5 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 32. Suppose -2*m + 7*m - x = 0. Solve -4*c + 3*c + 18 = 5*i, i = -3*c - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -146*h + 68. What is the units digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3966*n + 2610*n - 331*n.\nAnswer: 6245*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o**2 + 7*o - 1. Let l be g(3). Solve -6*s + 4 = -l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21121 - -1001222011?\nAnswer: 1002020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*1\/(27\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 13*s + 3*r + 755, 3*r = s - 163. What is the least common multiple of 36 and s?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.309516*2\nAnswer: -0.619032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.055 - 36.055. Let n = f - -23. Let l = 13 + n. Which is the smallest value? (a) -0.5 (b) l (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31392357 to the nearest integer?\nAnswer: 5603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 6775419?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -305 in -3\/4, -3, -3\/5, 2, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**4 - 10*s**3 - 40*s**2 + 88*s - 43. Let a(b) = 2*b**4 - 10*b**3 - 40*b**2 + 87*b - 42. Let j(l) = -2*a(l) + 3*v(l). Find r, given that j(r) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4060 in -5, -2\/19, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1573233 and 0.06.\nAnswer: 94393.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5093*c - 5083*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 30. Let n be -6*-1*(16\/d - 3). Is 5\/n*8\/(-10) - -2435 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/5739975 and 92\/945?\nAnswer: 120539475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -3 - 6 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 16.\nAnswer: -13, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 6. What is h(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/7 - 104116*a**3\/7 - 24600600*a**2\/7 - 1941475244*a\/7 - 7299935434 = 0.\nAnswer: -51821, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605768709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 2 = -19*m. Which is the third biggest value? (a) 0.5 (b) m (c) 3\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.07 (c) 11 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0669 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -5 - (6 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -351\nAnswer: 175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786498513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/25 (b) -2\/3 (c) 2\/15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 969159.8 kilograms?\nAnswer: 969.1598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 334009 and 19?\nAnswer: 6346171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -11. Suppose -3*a - 6 = 4*w, -3*a + 2*w + 17 = d. Differentiate 1 + 2*p**3 + 5*p**3 - 3 - a with respect to p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 164*j**3 + 2*j**2 + 9*j - 18. Let l(r) = 82*r**3 + r**2 + 5*r - 10. Calculate -9*l(t) + 5*p(t).\nAnswer: 82*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/27))\/l**(11\/6))\/(l\/(l\/(l\/((l**(-13)\/l)\/l))))**(43\/4))**(20\/7) assuming l is positive.\nAnswer: l**(-93370\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2241375 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7*k - 2*k + 13, 21 = -3*h - 5*k. Which is the nearest to h? (a) 2 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.232 and -842.45135.\nAnswer: -842.21935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**6 + 10*w**6 + 32*w**3 - 32*w**3 + 4*w**2 wrt w.\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 364, 349, 318, 265, 184, 69?\n\"Answer: -i**3 - 2*i**2 - 2*i + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*(0 - 2). Let l = h - 0. List the prime factors of 0 - -25 - (l + 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 - 3*k - 7. Let c be r(-4). Suppose -2*f = c*b - 29, -5*b + b = -f - 18. Solve 2*j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20 - 13 - 11 + 18*k - 2. Calculate the remainder when 118 is divided by o(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 5, r: 3, v: 1, a: 2}. What is prob of sequence allj?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Suppose 0*i - a + h = -i, 3*i + 4*a = 16. Suppose -12 = -3*q, -5*y - q + i*q + 19 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 7 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 5. Let l(o) = -4*o + 35. Let k be l(10). Determine g(k).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:18 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 - 292. Solve 5*j - j + 5*u + 23 = 0, k*j + 19 = -3*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*r - 2596, -6*r = -8*r. Suppose 4*w - 3222 = -5*f, -5*f + 3*f + 3*w = -g. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -108.263068?\nAnswer: -107.863068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -174179.0302 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -167065 plus 22?\nAnswer: -167043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-42)*((-1)\/2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1926*c + 3. Let i(f) = 9626*f + 16. Determine 2*i(y) - 11*m(y).\nAnswer: -1934*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2857677347?\nAnswer: 7, 408239621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602820 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 1. Let f(v) = 4*v**3 - 2*v + 5. Suppose -5 = -5*y, 5*h + 2 + 0 = -3*y. Calculate h*f(x) - 5*c(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28211*u - 26997*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) -0.2 (c) -4\/7 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 0, -4*i - 5*z = -8 - 13. Let d(w) = -w**3 + w**2 + 16. Let r be d(0). Let j = r - i. What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3403886.\nAnswer: 2, 181, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t**2 + t + 195*t**2 + 192*t**2 - 386*t**2 + (0 + 0 + 2*t**2)*(1 + 0 + 3) - t**2 + t**2 + 2*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*(n\/(n\/(n\/(n\/(n**17*n)))))\/n*n)**(-14\/3) assuming n is positive.\nAnswer: n**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b\/b**(-1))\/b))\/b)**(-3\/26)\/(b**(-1)\/b**(-2\/7)))**44 assuming b is positive.\nAnswer: b**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:12 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/21 - 236\/(-6). Suppose 0 = -5*i - 5 + z. What is the lowest common multiple of i and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*g**4 + 20*g**3 - 72*g**3 + 22*g**3 + 15*g**3 + 2 + 17*g**3 to q*g**4 + t + r*g**3 + a*g + v*g**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/3, -0.5, -0.7, -3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1988\/113445?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7334120 is divided by 6383?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from tggiqgggtqjjgiggigj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 3 + -4 - -4) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*s - 4, -6 - 4 = -5*t + 5*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -0.78. Let g = 0.76 + -0.66. What is the closest to g in -1\/3, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 89. Let g(z) = z**3 - 12*z**2 - 14*z + 13. Let x be g(13). Is b(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2. Let c = 17 + -6. Let v(q) = -46*q**2 + 11*q + 11. Let k(j) = -23*j**2 + 6*j + 6. Let a(n) = c*k(n) - 6*v(n). Give l(a(b)).\nAnswer: -1058*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16641513?\nAnswer: 3, 7, 31, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 6. Let f be r(-3). Let a(p) = -28*p**2 - 3 + 14*p**2 + 13*p**2. What is a(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0) + -1 + 4. Suppose -13 = -d - n. Let m = -21 + 71. What is the highest common divisor of m and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/10 - 2*v**4\/3 + v**3\/3 + 3*v**2\/2 + 267*v. Let x(c) = -c**3 + 7*c**2 - c - 2. Give 2*f(o) + 3*x(o).\nAnswer: o**3 + 5*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 535016 + 1?\nAnswer: 535020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 78, 111, 138, 159?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2524492613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 37*b**2 + 70*b + 537. What is the tens digit of l(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 389.529 millilitres?\nAnswer: 0.389529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44407 - 10?\nAnswer: -44417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 8068\/3 (c) 0.4 (d) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + h. Let b be i(-1). Suppose b*w + 20 = 0, -3*x + 2*x = -w - 4. Solve m - 5 + 0 = x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 6.4. Let p = 310 - 308. Which is the closest to p? (a) n (b) -1\/4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -691*n**3*y - 2*n**2 - 3*n*y - 54*n wrt n?\nAnswer: -4146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33322032221 (base 4) in base 11?\nAnswer: -2399534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/39390, 5, 2\/99 in decreasing order.\nAnswer: 5, 2\/99, 1\/39390, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence app when three letters picked without replacement from {a: 1, p: 5, t: 5, y: 1, w: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 5*n - 4*n**4 + (4*n + 0*n - 6*n)*(4*n**3 + 3*n**3 - 4*n**3) to the form d*n**4 + p + b*n**3 + r*n + c*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20919870 is divided by 5771.\nAnswer: 5766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 11*h - 1. Let m be p(-5). Let q(b) = 7*b**2 + b + 1. Let v be q(-1). Let r = v - m. Solve 0 = 2*u - u - 5, -g - 10 = -r*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 times -27730\nAnswer: 1608340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/116580 and -179\/349740?\nAnswer: 349740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*-6 - sqrt(84))\/(sqrt(432)*-2).\nAnswer: -11*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6568 is divided by 263?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 609571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847*c**2*g**3 - 488*c*g**3 + 4*c*g**2 wrt c.\nAnswer: -1694*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.509.\nAnswer: -0.2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/(-483) - (-4)\/(-14). Suppose 5*o = 0, 0*r - r + 3*o - 24 = 0. Let g be 1\/(-1) + (-15)\/r. Sort n, -0.5, g.\nAnswer: -0.5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 2 + 8*z + 6942*z**3.\nAnswer: 6942*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1738, -13944, -47080, -111610, -217998, -376708?\n\"Answer: -1744*f**3 - f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:23 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 9*f - 1200. Let j be w(32). Calculate the greatest common divisor of j and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -8*s + 4*s. Let r = 41 - s. Let q = 295 - r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 1)*(-10)\/(-7). Suppose -27 = -p*d + d. Suppose 0 = -2*f, t + 2*f - f = 12. Solve 0 = -d*x + t, -4*g + 18 = g + 2*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/346 and -23\/4152.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000740456344 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(1\/16))*q\/q**12)\/(q**(-5\/7)*q*q\/q**(3\/13)))**(-30))**(17\/6) assuming q is positive.\nAnswer: q**(1499655\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -453, -430, -387, -318?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420 smaller than -200103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 - (-235)\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 245*b - 27810 = 0.\nAnswer: -54, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36828.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0273 * -0.01563\nAnswer: 0.000426699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -265*h. Let l(q) be the first derivative of q**5\/120 + 5*q**3\/3 + q**2\/2 + 121. Let w(y) be the third derivative of l(y). Determine w(p(x)).\nAnswer: -265*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.77 * 1.37\nAnswer: -1.0549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -77742*h + 93569*h - 4 + 4 + (-1 + 5 - 5)*(-2*h + 3*h + 0*h) as c*h + w and give c.\nAnswer: 15826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + (-22)\/(-6))*(-8841)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + u**2 - 1. What is the least common multiple of i(-1) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/18*22\/(-3). What is the derivative of o*r - 11 + 4*r - 23 wrt r?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19828 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239846 is divided by 274?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o - o + 8*o)*(143 - 12 - 3 + 55).\nAnswer: 4941*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from cccjcjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 5\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55192382 to the nearest integer?\nAnswer: 7429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/14126 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*u + 17*u - 11720 = -345*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 218 = -0*c + 2*c, 0 = 2*c + 5*t - 253. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4\/9))\/g)\/g**33 assuming g is positive.\nAnswer: g**(-301\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -23*s + 532. Let x be f(0). Let k = 761 - x. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/13)*q*q**1)\/(((q\/(q*(q*q**(2\/3)*q*q)\/q))\/q)\/q)**(4\/17))**5 assuming q is positive.\nAnswer: q**(10015\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.0387, -13\/5169?\nAnswer: -13\/5169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-33))**(1\/40) assuming n is positive.\nAnswer: n**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Solve -2*m + 4 = v*l, -3*m = -5*l + 7 + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 618.1343 - 0.1343. Let t = y + -618.0000078. Round t to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-19 - -24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 - 4*g + 7. Let j(f) = f**3 + 6*f**2 + 7*f + 5. Let t be j(-5). Let l be b(t). Solve 4*m = u + 16, 0 = 4*m + u + l*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + i = 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Let g(x) be the first derivative of -2 + 0*x - 1\/2*x**2. Give z(g(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g. Suppose 0 = -4*i - 0*i + 8. Let l(r) be the first derivative of -3\/2*r**i - 1 + 0*r. What is l(j(a))?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 - 97 - (-2 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.06, -3224, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klxllklxxxllll. What is prob of sequence kx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11833 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16*-966780\nAnswer: 15468480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, -235, -1, -6, -2?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*6*(sqrt(91) + sqrt(91) + (sqrt(91)*1 - sqrt(91)) + sqrt(91) + sqrt(91)))\/((sqrt(77)*-1)\/sqrt(11) - (sqrt(7) - sqrt(14)\/sqrt(2))*-3).\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-3)\/6*4. Differentiate -2*k**2 + k**2 + o - 3*k**2 wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10396724 and 988.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: (920\/(-552)*324\/(-20))\/((-21)\/(-2))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/2 - 7*u. Let z(h) = 2*h**2. What is z(s(j))?\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) 0 (c) -48 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 2. What is d(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {t: 3, o: 1, g: 4, w: 2, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 1. Let k be 9 - (-18)\/(-8) - 2\/(-8). Let d(o) = -o**2 - k + 7. Give h(d(f)).\nAnswer: -2*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*s + 19, -3*s = -66*w + 69*w + 6. Which is the closest to s? (a) -3 (b) 2 (c) -3\/2 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92.22674 + 91.65. Round y to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/14*(-9)\/(9\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 41, 94, 179, 302, 469, 686, 959?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 129*y**3\/2 + 1687581*y**2\/2 + 19623*y = 0.\nAnswer: -13082, -1\/43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 + 495 - 21092*k - 1018 + 2*k**2 + 21092*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) - (10 - (-1068)\/(-90)). Let g = -13 - -23. Let h be (-2)\/g - 4\/(-20). Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*w + 3*k + 2*k, -3*w + 62 = -k. What is the common denominator of w*(-1)\/(36\/(-3)) and -115\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 + 42*g**2 - 7 - 81*g**2 + 39*g**2 + 5.\nAnswer: 12*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, -15, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390\/19 + -733\/57. Let l = 954 + -20021\/21. Calculate the common denominator of l and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:36 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k. Let l(u) = -2*u + 2*u + 12*u + 8*u**2 + 4. Let m(i) = l(i) + 10*x(i). Factor m(d).\nAnswer: -2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(-3\/7))*g)\/g)**(-1\/22)*(g**(2\/23))**(-36) assuming g is positive.\nAnswer: g**(-5659\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 2*h**2 + h + 2. Let k be l(-4). Let z = 3 + k. Calculate the smallest common multiple of (-3)\/(-111) + 373320\/11322 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 226, 340, 454, 568, 682?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:36 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*j - 91*j = 12. Let i be (-10)\/(-2) - (38 - j). Let c = i - -57. Calculate the remainder when 104 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/33309 - -33319\/166545. Let i be 1*(-6)\/4*5\/15. Which is the closest to s? (a) -3\/5 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6 and -61\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*o - 721*o - 2291 = -368*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 403 * 72309\nAnswer: 29140527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.27 and -1578879.\nAnswer: -1578879.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g**2 - 8*g - 14 + 7*g - 6*g**3 + 7*g**3. Calculate f(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**5 - 32*l**4 - 8*l**3.\nAnswer: -2*l**3*(l + 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p**4 + 22 - 29 - 17 + 0*p**3 - 6*p**3 + 19 - 3*p**2 to w*p**4 + f*p**2 + r + x*p + c*p**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18666.\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 + 10*u**2 - 25*u + 414. Let j = -9 + 27. Let z be m(j). What is the highest common divisor of 44 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2858918428 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1\/20*a**5 - 3\/16*a**4 + 0*a + 1\/12*a**3 + 1\/8*a**2 + 2 + 1\/12*a**6. Find r such that x(r) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -5*r - 32*z - 10, 0 = -2*r - z + 1. What is the nearest to 6 in -1, r, 0.2, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89462 and 16039882.\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 11 = -29. Solve -5 = -4*r - c, r = -2*r + y*c - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 36\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 - 1. Let h = 6 + 37. Let l be h + (-1 + p)*1. Calculate the greatest common divisor of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 12714*a - 12714*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.78759 + 18.21241. Let n = 0 + 1. Sort 0.2, n, 3, s in decreasing order.\nAnswer: s, 3, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/10 - 5)*(-3 + 1). What is the highest common divisor of x and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 8*z - 29. Let s be q(11). Suppose 5*l - 3*o = 445, s*l - o - 331 - 32 = 0. Let j = l - 89. Calculate the smallest common multiple of j and 19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000011503956 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*f**2 + 16782*f - 1160.\nAnswer: -(f - 58)*(289*f - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/30)\/(728\/624)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 13*f + 3*f + f to k*f + q and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 4*x - 9. Suppose 2*o + 202 = x*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2001?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6058 less than -4604333?\nAnswer: -4598275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5219295104 to the power of 1\/3, to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.129629l to millilitres.\nAnswer: 129.629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.15. Let v = 199 - 126. Let w = 68 - v. What is the second biggest value in z, w, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 379024 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huey when four letters picked without replacement from {e: 3, u: 3, y: 2, z: 4, h: 6}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0.08, -0.5 in ascending order.\nAnswer: -0.5, 0.08, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/12 + c**3 + c**2\/2 + c. Let t(x) be the first derivative of n(x). Suppose -551 + 515 = 6*f. What is t(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5370*y**5 - 32985*y.\nAnswer: 107400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-3*(4 + 1 + sqrt(1377) - (sqrt(1377) - (sqrt(1377) + sqrt(1377) + (sqrt(1377) + 1)*-2))))**2*-1.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 59*d - 130*d - 10*d**2 + 63*d + 10. Calculate p(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126687653.5 to the nearest one million.\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 less than 2?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b98 (base 14) to base 13.\nAnswer: -9a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k - 32. What is the tens digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2696*l + 11123. Give g(-4).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-8) + (-21)\/(-28). Solve -l = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 38*f + 45. Let i be g(-37). Suppose -o - i = -5*k + 167, 0 = -2*k + 5*o + 118. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -42, -49, -38, -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 714419, 1428819, 2143197, 2857553?\n\"Answer: -11*u**2 + 714433*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 - 1\/(-4). Suppose 5*z + a - 98 = g, -2*z + 10 = -z - 3*a. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1246612 * -2.\nAnswer: 2493224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 137. Suppose -2*x = -3*d - 34 + 68, -4*d + 34 = 3*x. Calculate the lowest common multiple of d and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100100010001101 (base 2) to base 12\nAnswer: 25865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*c. Suppose c*f - 7 = -63. Let v = 41 + f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144\/95 or -1?\nAnswer: -144\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, -0.4, 2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*n = -120, 2*l = -3*n + 24 + 34. Is l + (-2 - -2 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1750*l + 731 wrt l?\nAnswer: 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + n + 19. Let z(o) = -5*o**2 + o + 21. Let f(x) = 6*k(x) - 5*z(x). Suppose 6 = i - 0. What are the prime factors of f(i)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 147 = 60*r. Let a = 0 - -11. What is the remainder when a is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1320\/3569? (a) -1\/13 (b) 0 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 2 - 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 46*z - 153. Calculate p(24).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-213450)\/7350 - 6\/(-147)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 - -475. What is the greatest common divisor of k and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 575*g**2 - 952*g - 380.\nAnswer: -(g + 1)*(g + 190)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84844330 is divided by 1371?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 4*q)*(2*q**2 + 0*q + 0*q)*(-787*q + 1569*q - 22 - 759*q) + 4*q**4 + q**4 - 6*q**4.\nAnswer: 45*q**4 - 44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-30)*-4*(-5)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {p: 1, g: 3, n: 3, v: 2, e: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 7*v**2 + v - 20. Calculate u(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*g + 7*g. Solve j + 16 = -g*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + -26 + 4 + (-7 - (5 - (18 + -4)))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, r: 4, t: 1, b: 1}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5791600928.\nAnswer: 2, 23, 7869023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -474647\nAnswer: 1423941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-22)\/(-33) - -10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 70*r**2 - 30*r + 30. Let o(y) = -y**2 + y - 1. Give 60*o(b) + 2*w(b).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*x + 2. Let t(w) = 4*w**2 + 5*w + 5. Let u(o) = o**2 + o + 1. Calculate x*u(n) - 3*t(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 5*c + 2*c + (3*c - 2*c + 0*c)*(2 - 2 + 1) - 7 - 57 - 36 + 2*c.\nAnswer: c - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/40)\/((432\/260)\/36)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065977 rounded to three dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7528637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 5*w**3\/2 - 9*w**2\/2 - 6*w. What is the first derivative of u(x) wrt x?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12016 - 11993. Calculate the remainder when 2523 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - s**4 + (3*s**3 + 3*s**3 - s**3)*(-s + 3*s - s + (3 - 5 + 4)*(-3*s + 4*s - 3*s))*(1 + 4 - 3).\nAnswer: -31*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k + 3*k**2 + 0*k**2 - k**2 + 3*k**2 wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4971 rounded to one dp?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/5, -3, -4, 19, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -957, -7626, -25715, -60930, -118977, -205562, -326391?\nAnswer: -487170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*a + 2314431 = -1015483, 2*p + 2*a - 1664952 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(20) + -1 - (-1*sqrt(45) + sqrt(5))) - (1 + (sqrt(500) + -1)**2 + 2)) + 2.\nAnswer: -504 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.492 + -3.892. What is the third biggest value in 0, -5, 17\/5, -1\/12, m?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:47 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/130)\/18*85?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -1*sqrt(2057) + sqrt(2057))**2 - ((sqrt(2057)*2)**2 + 4)) + (((sqrt(2057) - (sqrt(2057) + (1 + sqrt(2057) - sqrt(2057)))) + 0)*-4)**2)*-4 + -2.\nAnswer: 32858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1546\/189385)\/(2\/20*(-2)\/1)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2 - 191836*j + 45963046 = 0.\nAnswer: -96157, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*t**2 + 97392*t + 27828.\nAnswer: -3*(t - 4638)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**3 - 3*x - 5. Is y(-2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 + 212 - 212.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -447.056856 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*c + 4*c. Suppose -c*z - 15 = 3*m, z + 2 = -2*m - 4. Let s(j) = -6 + 0 - j + 7. Determine s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56215515, 56215523, 56215531?\nAnswer: 56215539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 4, -63, 0 in descending order.\nAnswer: 4, 2, 0, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (212\/(-265))\/((-1)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 2. Let w be g(-3). Calculate the common denominator of 26\/5 and (-2)\/(-12)*27\/w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 8*x + 3. Let k be h(6). Let c = -8 + k. Solve -1 = -2*z + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14) + 15 + 88\/(-11) + -7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(1\/24)*b*b**(5\/2)\/b*b**7\/b assuming b is positive.\nAnswer: b**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4 + 170*t**3 - 7626*t**2 - 50714*t - 42920 = 0. Calculate t.\nAnswer: -116, -5, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 28*f - 93. Suppose 0 = 6*x - 4*x - 28. What is the remainder when u(5) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:46 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -270946 > 2066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - j = 19, 4*l - 15 = -3*j + 6. Suppose -137 = -l*r + 319. Let x = r - 58. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let w(d) = -4*d + 1. Suppose -5*n + 15 + 0 = 0. Let a(x) = n*y(x) - w(x). Let p be a(2). Solve -3*k - 11 = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hbbh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 13 - 3 = 0. Suppose z + 2 = -2*z - 4*q, 4*z + 13 = y*q. Sort -4, z, 1\/4.\nAnswer: -4, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 30*c**2 + 30*c - 33. Calculate x(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmamma. Give prob of sequence maam.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:20 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2087252144 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 51 + 52 - 200 + 43 + 54.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 42. Let y(b) = 23*b - 250. Give -34*f(u) - 6*y(u).\nAnswer: -2*u + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87727043 or 87727042?\nAnswer: 87727042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1238, 5\/9, -57\/4?\nAnswer: -1238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106428412 is divided by 889?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*y - 42 = -545*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20248, -2, -5, 5 in decreasing order.\nAnswer: 20248, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1691 and 10697.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - c68d8?\nAnswer: -c68d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196207722.\nAnswer: 2, 3, 397, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.2. Let m = -4.09 + 0.09. Let y = -2 - m. Which is the nearest to 1\/2? (a) y (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2 - 3939*g + 3749760 = 0?\nAnswer: -1953, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -2. Let n(r) = -5 - j + 2 - 6 + 2*r. What is n(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.352 + -15.9. What is i rounded to two decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -2122426543?\nAnswer: 2122426548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/64428 and -95\/924?\nAnswer: 708708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14\/s)\/(s\/(s\/(s\/(s\/(s\/s**(-9)))))) assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - c**3 - 2*c**2 - c - c + 2. Let p(z) = -z**2 + 280*z + 2301. Let t be p(-8). Give g(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/447514 and 97\/14.\nAnswer: 3132598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2*l + 5)*(3 + 4 - 1) + l + 5*l - 3*l)*(-3*l + 4*l + l).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223 - -240. Solve 2*f + z = 3*j, f + 26 = -2*j + 7*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 34402.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 37*k**2 - 6*k - 15. Let r(y) = 14*y**2 - 2*y - 5. Let a(v) = 8*r(v) - 3*t(v). Give a(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73068 is divided by 339?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6632*z. Let i(v) = -v**2. Calculate i(s(d)).\nAnswer: -43983424*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p**3 - 67*p**2 - 12*p - 4. What is m(-8)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12\/5)*h\/((h\/(h\/h**(-10)))\/h))\/(h**(2\/9))**(-6) assuming h is positive.\nAnswer: h**(164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.561 to 1 dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 679*g**3 - g**2 + 5*g - 5. Suppose 7*v = 6*v + 1. What is the tens digit of m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h + 1. Let x be n(2). Suppose -534 - 1104 = -26*m. Let c = m - x. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6129905 nanometers to millimeters.\nAnswer: 0.0000006129905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.9 * 4.\nAnswer: 219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 6*y**2 - 7*y + 3. Let j be f(7). Let g be j*(-4 - -8 - 3). Let -4*z + 3*z**2 - 7*z**2 - 4*z**2 - 4*z**g = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84*(105\/1386 + (-2)\/(-22))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -8*a + 6. Let s = -31 - -34. Is a <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 2, i: 5, o: 5, p: 1, l: 3}. Give prob of picking 1 o, 1 g, and 1 i.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1 + 1 + 0 + 0 + (2 + 3 - 6)*(-4 - 2 + 3) + 2 - 1 - 3 + (-1 - 2 + 2)*(-1 - 3 + 3) - 1 + 3 - 1 + 2 - 5 + 1)*(12 - 5*i - 12).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 + 6173160622375.\nAnswer: 6173160622356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*y + 409*y + 2*l = 14, -5*y = -5*l + 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 9. Let p be w(-7). Suppose p*x + 0*x + 35 = 5*r, 0 = 2*r - x - 14. Suppose 3*a - r = -o + 92, 3*o - 341 = 2*a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*o**2 - 34*o**6 + 7*o**2 + 3*o**2 wrt o.\nAnswer: -4080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29953 is divided by 3919?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 4*k + 12, -4*q + 10*k - 12*k = 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**5 + 6*z + 0*z**3 - 13\/2*z**2 + 0 + 0*z**4 + 4\/5*z**6. What is the first derivative of h(x) wrt x?\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 18. Find the second derivative of -5*n**3 - 7*n + 0*n + 7*n - l*n wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 6. Let j be b(-3). Suppose 5*n - n - 2*w - 92 = 0, -3*w = j. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let y(c) = -5*c - 14. Let k be (-2)\/(-8) + (-33)\/(-44). Let a(t) = k*y(t) - 3*q(t). Find the first derivative of a(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - n**3 - n**2 - 2 - 4. Let q be k(-5). What are the prime factors of q\/(1*(-2 + 1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5980484?\nAnswer: 2, 1039, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111000 (base 2) to base 6.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 10*f**2 + 2. Give c(7).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12634809?\nAnswer: 3, 11, 382873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 19.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 - 1219\/5. Let g = -392.4 + 392. What is the second smallest value in k, g, 4, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 6.84.\nAnswer: 191.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -22020?\nAnswer: -22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (-18 - 1340\/(-64)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 divided by -435?\nAnswer: -313\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21311 - -13?\nAnswer: -21287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 32744.\nAnswer: 65488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -814972 divided by 4\nAnswer: -203743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178534010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.039 (b) -4 (c) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17624 (base 8) to base 15.\nAnswer: 25de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 62*l**2 - 1547*l + 646. Determine y(81).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3519, -6957, -5, 2.\nAnswer: -6957, -5, 2, 3519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120135, -120405, -120869, -121533, -122403?\nAnswer: -123485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:56 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -5 (c) 5 (d) -104 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 943017 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**5 - 11178*h**4 + 10333737*h**3 + 146432058*h**2 + 409743180*h - 566497800 = 0.\nAnswer: -9, -6, 1, 1870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7479252 and 288?\nAnswer: 59834016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*a - a + 42, -2*g = a - 15. Let s = 11 - a. What is the third derivative of 3*d**s - 2*d**6 + 4*d**6 - 5*d**2 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -539 + -2941. Let w = f + 3455.89. Let h = -23.1 - w. What is h rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5543*p**5 + 2*p**4 + 13*p**3 - 3*p**2 - 208*p - 154 wrt p?\nAnswer: 332580*p**2 + 48*p + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*z**4 - 218\/3*z**3 + 938\/3*z**2 + 248\/3*z + 0 = 0. Calculate z.\nAnswer: -31, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/10*(-7)\/6*(-8)\/(-14)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10110101010011111010001 (base 2) to base 12\nAnswer: 1ba6241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 + 383. Let t = -578 + q. Is t not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.768 + 1.297. Let l = -0.259 + r. What is l rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/4 + 66*m**2 + 3635*m\/4 - 6225 = 0. Calculate m.\nAnswer: -249, -20, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 210506*o**4 - 4 - 210514*o**4 - 6*o + 2*o**2 as k*o**2 + t*o + d*o**3 + r*o**4 + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/15, -6, 1\/4, -2 in decreasing order.\nAnswer: 1\/4, -11\/15, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1800 and 6975?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 + 117. Let t be ((-1)\/6 - 21\/(-18))*j. Solve -5*w + t*l + 3*l = -25, -2*w - 2*l = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76158 divided by -112?\nAnswer: 38079\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -0.4, 35, 4, 0.02083, 5?\nAnswer: 0.02083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7254889 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: Let k(c) = 11*c - 5. Let a(j) = -43*j + 22. Let l(d) = 2*a(d) + 9*k(d). Determine l(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 15*w - k = 5, 2*w - 2*k - 4 = 0. Find the second derivative of -39*p + 41*p**w + 0*p**3 + 48*p**3 + p**2 + p**2 wrt p.\nAnswer: 534*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z)*(8 - 1 - 1) + 0*z + 2*z - z + (2 - 5 + 4)*(0*z - 3*z + 6*z) + (-3*z - z + z)*(-3 + 0 + 1).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19677488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-40)*0)\/5. Solve r = -3*q + 5*j + 1, -q + 2*j = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75397792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from subuh. Give prob of picking 1 s and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 56. Let h = g - -25. Let n = 40 - h. What is the greatest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222021200100 - 11?\nAnswer: -222021200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5798 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11113 + 0*h - 5*h + 3*h + 11019 + 0*h.\nAnswer: -2*h - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56593*g + 436*g**5 - 56592*g + 334*g**5 + (0*g**2 - 3*g**2 + 4*g**2)*(-6 + 6 - 8*g**3).\nAnswer: 762*g**5 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.0594?\nAnswer: 0.00594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 148758334.\nAnswer: 1636341674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2264 and 97\/72.\nAnswer: 20376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z + 2*z. Let s = 2 + z. Let f be (-49)\/(-3) - 4\/(-6). Solve 3*p + 5*w - f = 0, -3 + 12 = s*p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2813 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4*(-3)\/15*-10)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + 2. Let t(z) = z**2. Calculate -k(g) + 5*t(g).\nAnswer: 10*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 8*b**2 - 15. What is the units digit of z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804823051.\nAnswer: 29, 27752519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -10 - 20\/(-10). Let s be 2 + r - 4\/(-1). Solve -d - s = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2858 - -4?\nAnswer: -2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1449?\nAnswer: -1\/1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w**(4\/3))\/(w**7\/w**0) assuming w is positive.\nAnswer: w**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0, -4\/1057, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(110) + sqrt(110))*-3)\/(1*sqrt(10)*6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (5 - 2) + 1 - (-243 + 234)) + -120?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(27))**2)*2 + 1.\nAnswer: -53 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19758829 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 67 + 37 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 37 + 19. Suppose -q - i + 31 = 0. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -94011.\nAnswer: -4\/94011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-8)\/512*4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20694536, -41389088, -62083640, -82778192, -103472744?\nAnswer: -124167296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953.38 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8393982kg in nanograms?\nAnswer: 839398200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - 10\/3. Let n = 4461 - 4462. Which is the third smallest value? (a) n (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3352 by -838.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 14. Let t be ((-30)\/v)\/(2\/8). Calculate the highest common factor of 45 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -2 - 9) + (1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 73 - 806 = 3*q, 888 = -3*q - 4*u. Let i = q + 306. Solve 3*b - 3*v = 0, i = -5*b - v - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1636)\/(-3))\/(32\/48) + -7 is divided by 202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, z: 3}. What is prob of picking 1 c and 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o, -z - 5*o = -39 + 15. Let k(n) = -8*n**3 - 7*n**2 + 8*n + 9. Let d(i) = 3*i**3 + 4*i**2 - 4*i - 4. Let v(b) = -5*d(b) - 2*k(b). Give v(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -6*v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.1 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60366 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 839, 840, 841, 842, 843?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = 14. Solve 0 = v*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2817, -6878, -13645, -23118?\n\"Answer: -1353*u**2 - 2*u - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.38, -2, 0.1, 6\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 34777*f + 521634. Determine s(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g - 111*g - 1738 = 0. Which is the second smallest value? (a) 1\/12 (b) -4\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 4. Let v = 0 + 1. Let h(t) = -13*t - 1 + 19*t - 2*t - 5*t. Calculate v*i(b) + 4*h(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34 and -9.824?\nAnswer: 43.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367.7 + -310. Let t = 54 - u. Let q = t + 3.962. What is q rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5*2\/(-7))\/(40\/140). Suppose 3*s + r = b, b + 5 = s + 2*b. Solve -5*l + 27 = -p + 2*p, s = -4*p - 2*l + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 52?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53300.\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5\/2*y**2 + 0*y**3 + 3 + 1\/4*y**4 + 0*y. What is the second derivative of b(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167311 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-625888)\/64)\/(-3 + (-15)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7399800 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {m: 5, n: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 + 124 - (-8 + -4 + 2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 - 4*d**2 + 5*d**2)*(-4624*d + 4426554 - 4426554) to the form k*d**2 + p*d**3 + z + a*d and give p.\nAnswer: 9248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13821081797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, l: 3, y: 1, r: 3}. What is prob of picking 3 l and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t*t**6\/t)\/t*t)\/(t**(1\/16)\/t)*(t\/(t*t*t**(-43)*t))\/(t\/(t\/t**(2\/39))))**6 assuming t is positive.\nAnswer: t**(31129\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrxxfsffsssfrffffff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 716 in -2\/19, 3\/89, -1?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + -40. Let w = 200\/3 + m. Let p = 2.02 + -0.02. What is the third smallest value in -2, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 2*f**2 + 3*f**2 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*r = -0*z + 5, -2*z + 4*r + 6 = 0. Let w be 16\/5 - (z + 5). What is the nearest to w in 5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 3*c)*(-18 + 18 + 10) + 2 + 4*c - 2.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3053, -3051, -3039, -3011, -2961, -2883, -2771, -2619?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*z - 2077 + 433 - 0 - 946 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251404941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.007 and -265.26?\nAnswer: 265.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/292334 and 37\/11932.\nAnswer: 584668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18106 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26547 (b) 0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78756862 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/40 or -6034?\nAnswer: -6034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1665 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-230)\/575)\/(6\/(-10))*(-6)\/(-2). Suppose 2*t = 2 + 10. Put 0, t, k, 3 in decreasing order.\nAnswer: t, 3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5\/4 (c) 1 (d) 2\/21 (e) 0.3 (f) 8451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-3)*(-162)\/540.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 5 - 38 = 0. Suppose -18709516 = -u*h - 4918516. What is h rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17838307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8279*w + 344 = -8193*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279 - -280. Let r = -0.133 - 0.067. What is the nearest to 1 in r, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25195 is divided by 1949.\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/4)\/b)\/b*(b\/(b\/b**(-9)))\/b)\/(b**(-8)\/(b*b**1))*(b\/(b*b\/(b\/b**2*b*b)*b))**5\/((b*b\/(b\/b**(-3\/7)*b)*b*b*b)\/b**7) assuming b is positive.\nAnswer: b**(-51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8978 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*n + 66 - 51, 0 = -3*w - 2*n + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 5*n)*(-528*n**2 + 528*n**2 - 379*n**4 + (3 + 3 - 7)*(3*n**2 + n**4 - 3*n**2)).\nAnswer: 760*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) - (-17)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4361 - 2567. Calculate the highest common divisor of u and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 32*x - 4 = 0. Let u(k) = k**2 - 2. Let g be u(-3). Suppose -3*t - g*p + x*p = -18, -p + 2 = -t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*x + 5*i, 2*x - 963*i - 10 = -965*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 167149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 = p, v + 5*p - p - 40 = 0. Suppose q = 6*q - v. Let h = 6 - q. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t - 3*y + 240, 5*t - 575 = 5*y. Suppose -t - 63 = -9*s. Suppose -119 = -s*w + 13*w. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3488 + 3482. Put -2, 34, w, 3 in increasing order.\nAnswer: w, -2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 18*o**2 + 40*o. Suppose -6*l + 47 = -73. Give y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -461 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -307a03 - -28?\nAnswer: -307997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 - 3*z**2 + 3*z**2 - 594*z**3.\nAnswer: -606*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394397 is divided by 53.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q\/q**(-1))\/q))*q)**(7\/4))**(6\/17) assuming q is positive.\nAnswer: q**(21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -480*b**4 + 1727*b**4 - 551*b**4 + (1 - 7 - 16)*(0*b**2 - 2*b**2 + 3*b**2)*(-b**2 + b**2 + 4*b**2) as v*b**4 + p + t*b**3 + u*b**2 + n*b and give v.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80) + -4)**2.\nAnswer: -32*sqrt(5) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.53 times 7.8?\nAnswer: -11.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, 0.2, 4, 0.0549, 30?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -9523\/5 (c) -0.03 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44902833?\nAnswer: 3, 19, 787769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1261*b**3 - 135*b**2 - 301*b**3 - 478*b**3 - 185*b**3 - 908*b**3 wrt b.\nAnswer: -18798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1641056*d - 1641059. Give q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7731 * 0.3\nAnswer: 2319.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 - -2.76. Let j = -0.1 - -0.6. Put n, -0.3, j in increasing order.\nAnswer: -0.3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y - 26. Let v be f(-2). Solve v*a - 1 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbxycbtyxbqycyqx. What is prob of sequence xbt?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10192 and 82173?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11011320 (base 4) to base 8\nAnswer: -50570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6 + 2 = -7*k, -16*j + 17*j + 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 - 14*t**2 - t - 30. Let x be n(4). Let b(q) = 2*q**2 + 10*q + 9. Give b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rrrrrkrkkrkrrmrkrr.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(10\/(-55)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-40))\/((-60)\/480). Let p = 94 - 98. Which is the nearest to -0.2? (a) p (b) 2\/3 (c) j (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -16*w - 1\/6*w**3 + 0 + 0*w**2. Let h(d) be the first derivative of 2*d**2 - 1. What is l(h(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*c = 7322, -r + 333*c + 3665 = 330*c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010100110001000011101 (base 2) to base 7\nAnswer: 56302122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*t + (-1 + 0 - 1)*(3*t - 3*t + t) + 138 + 26*t - 138 - 13*t - 3 + 5*t - 5*t.\nAnswer: 14*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300)*2 - sqrt(300)))\/(sqrt(144)*-2 + sqrt(144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 k when four letters picked without replacement from rqlkzrbqblqqrrrrrqrk.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/20)\/((-2)\/(-5)). Let k be ((-2)\/215)\/(15\/75). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925399 minus -0.4?\nAnswer: 1925399.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 2*d**3 - 21*d**2 + 12 - 12*d**4 + 13*d**4 + 10 to the form c*d**3 + p*d + y*d**2 + f + k*d**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 minus 1058.5070815?\nAnswer: -702.5070815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26750, -26, 2, 4 in descending order.\nAnswer: 4, 2, 1, -26, -26750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:28 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = 8. Suppose 13*a - 11*a - 6 = -3*h, -3*a - h + 2 = 0. Suppose -s = 2*s + 2*r + 9, a = 4*s - d*r + 26. Sort 0.7, s, 2\/15 in descending order.\nAnswer: 0.7, 2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 21. Let u(t) = 7 + 3*t + 0*t - 4*t. Let o be u(7). Solve -6*r + r + y - 23 = o, 0 = -5*r + 4*y - x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60306 and 1886?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -98*s**2. Let j(m) = 1853*m**2. What is r(j(w))?\nAnswer: -336493682*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/34328 and 161\/161832.\nAnswer: 1132824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3799989 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203123 divided by -6?\nAnswer: -203123\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-2)\/(-6))\/(47\/3)). Let m = 49 + k. Solve 4*a - 8 = 5*j + m, 0 = 3*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 13) to base 4\nAnswer: -3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 3)*0\/2. Suppose 5*m + 3*p - 3508 = x, -m + 0*p + p = -700. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/3)*x)*x**(1\/2)*(x**18*x)\/x*x**(-1\/20))**(-33) assuming x is positive.\nAnswer: x**(-11737\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -3, -1103323 in decreasing order.\nAnswer: -1, -3, -18, -1103323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0, 2, 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 11*p**2 - 56*p + 65. Let h be k(-9). Which is smaller: h or -548?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2058\/(-84))\/49*64\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74820 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(22\/(-726))\/((-5763)\/(-459))?\nAnswer: 3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:15 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10166, 1, 0.31, 0.4?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(3 - 6) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122210021001 - -22?\nAnswer: 22122210021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 - 7*a**3 - 6*a**3.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100236591 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135678 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 r = -3 + 5. What are the prime factors of (-1)\/(r + (-69)\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 26. Let b = 42 - 28. Calculate the highest common factor of q and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a (base 14) in base 12?\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 6, 0 = -c + 4*z + 7. Let u be -3 - (2 + c*2). Let s = 9 + u. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -118, -240, -350, -442, -510?\n\"Answer: r**3 - 129*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**2 - 235*b - 948. Determine a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18870192 + 3615*h - 8131*h - 10532*h + 3*h**2 = 0. What is h?\nAnswer: 2508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2855 and -66\/35?\nAnswer: 19985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6161 - -178667\/29. Let a = -7 + 3. What is the closest to -1 in a, 2\/3, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {v: 1, c: 1, m: 5, b: 1, a: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31348.\nAnswer: 2, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -158*f - 521. Let u(p) = -p. Determine r(u(z)).\nAnswer: 158*z - 521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.342 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-5 + (-108)\/(-20))\/((-1)\/(-85))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 20*q - 8. Solve 0*o = -q*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29 - -0.09. Let m = -0.1 + 1.1. Let d = -0.963 - -1.063. What is the nearest to -2 in m, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(9\/2 - (0 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(245)*1 + sqrt(245) + 0).\nAnswer: 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -373.\nAnswer: 12309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1199 + 1199.2. Which is greater: -21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311194766.\nAnswer: 2, 29, 67, 73, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-6 + 32 - (-80 - -96)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 8780 = -9*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319619580 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 54190525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 244 (c) 0.4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from dfdffffdxcffdd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 5872 - 5684 + 28*v. Calculate z(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a + 24*a - 51*a. Let f(v) be the second derivative of -v**4\/6 - 2*v. Give f(i(h)).\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 691.\nAnswer: -4146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/36 and -91\/8964?\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 20*w. Suppose -7*b = 2*c - 3*b - 12, 4*c + b - 38 = w. Let i be (1 - 1) + 2 + -2. Solve 0*o + 2*o - c = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14920*n**2*p**3 - 9263*n**2*p - 10614*n**2 + 110 wrt p?\nAnswer: 44760*n**2*p**2 - 9263*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - (-12 + -44)) + (0 + -2 - -4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 55929231 and 1.6.\nAnswer: 55929232.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119) + 4*sqrt(119)*-4))\/(1*(sqrt(7) + sqrt(504)\/sqrt(8) + sqrt(7))).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0538272 + 4731.38\nAnswer: 4731.4338272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsxvvvvspxvxvpvx. Give prob of picking 2 p.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**3 - 11434*h**2 - 51386*h - 39956 = 0.\nAnswer: -2854, -7\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*p + 1841, h - 913 = -0*h + 4*p. Let l = -10 - -16. Suppose -l*y + y = -h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0 + q + 0 + (-2*q - 1 + 1)*(1 + 1 + 3) - 2*q + 0 + 0 + 5*q - 4*q + 0*q + q - 2 + 2 + (1 - 2 + 3)*(6*q - 3*q - 2*q) - q + 1 - 1).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21795991163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15329 * -708.\nAnswer: 10852932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/5 - 23162*l**4\/5 - 115862*l**3\/5 + 23162*l**2\/5 + 23172*l = 0. Calculate l.\nAnswer: -5, -1, 0, 1, 11586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206798081 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**2 + 6*x + 3. Let r(s) = -8*s**2 - 5*s - 2. Let d(w) = 4*n(w) + 5*r(w). Suppose -5*h = -2*y + 12, y + 3 = -h + 2. Calculate d(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 5*z + 6. Let k(h) = -3*h + 6. Let o be k(6). Let d = -8 - o. Let x(m) = m**2 - 4*m - 4. Let b be x(d). What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/101875 and 51\/290.\nAnswer: 5908750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3474*y - 29*y**3 + 7138*y - 1 + y**5 - 2957*y wrt y?\nAnswer: 20*y**3 - 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = n - 2*n - 19, 5*n = 3*i - 7. Let a be ((-22)\/i)\/(8\/(-16)). What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 288 = 24*x. Calculate the remainder when 224\/22 + x\/(-396) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-876)\/(-10))\/((-16)\/730). Let o be 3444\/8*252\/27. Let d = j + o. Find the common denominator of 133\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**3\/3 + m**2 + 2*m - 8. Let v(r) = r**2 + 7*r + 10. Let u be v(-4). Calculate o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 0*l**3 + l**3)*(-2 + 2 - l) - 17*l**3 + 17*l**3 - 5*l**4 + (3*l - 3*l - l**4)*(-2 - 1 + 5).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*r - 205 - 15, 2*q - 125 = -r. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*q - 657*q = -2*g - 8, -3*q - 17 = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**3\/6 - 3*p**2\/2 + 24*p. Determine w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287988, 578246, 868504?\nAnswer: 1158762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -20 - (-12 - (23 + -44) - 11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 20 + -1 + 0 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30523 + -20095. Suppose 8*r - 2*r - q = 0. Suppose r - 341 = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, 4, 49, 116, 211, 340?\n\"Answer: z**3 + 2*z**2 + 16*z - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031823635?\nAnswer: 5, 2371, 87037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w + 1. Let s be k(-4). Suppose 5*c - 12 = -2. Suppose -9 = -c*q + s. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = j - 0 - 5, 0 = -3*j + c + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.58.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a - 29. Let g be c(2). Let k be (-8)\/44 - 1770\/(-55). Put 1, k, g in decreasing order.\nAnswer: k, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 26. Let z be x*3\/(-6)*-10. Suppose 3*f - 25 - z = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 6*z**2 + 2*z**2)*(0 - z**2 + 0)*(-5 + 5 + 3*z).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11799432 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*w + 674 + 1370 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 254*-52\nAnswer: -13208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 9 + 0*l**3 + 12*l**2 + 3*l - l**3. Suppose -3*c + 33 = 6. Is f(c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -57*i - 2170. Determine g(-38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965774?\nAnswer: 2, 31, 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-5 + 8)*1. Let r be ((-7)\/(-3) + -2)\/((-3)\/w). Is 17 a factor of 20\/(r - (-96)\/(-51))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1281\/244*48\/18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 12*u + 25. Let q be w(9). Let m(i) = -11*i**2 - 4*i - 2. What is m(q)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 23. Let k be v(23). Suppose i + p + 0 = 55, k = -4*i - 5*p + 223. Calculate the highest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/9555*1410 - ((-24)\/30)\/((-52)\/10).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1538, 8516, 3 in descending order.\nAnswer: 8516, 1538, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3\/3 + 3619*t**2\/3 + 68872*t - 999600 = 0.\nAnswer: -68, 12, 3675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {a: 1, v: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u**4)*(-7821*u - 67310 - 19824*u + 2818*u + 67310).\nAnswer: 24827*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 16. Determine u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83.23 and -0.3.\nAnswer: -24.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151353 (base 6) in base 2?\nAnswer: -1110111101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 7 - (8 + -5). Suppose -5*q + t + t = -33, 0 = -q - 2*t - s. Solve 2*u = -0*u - 2*r + 6, 0 = -q*r - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 7, -1, 1\/12 in decreasing order.\nAnswer: 7, 1\/12, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/22, -1, 5, -0.32, -5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(4) + sqrt(100) + sqrt(4))*-4)\/(1*sqrt(605) - sqrt(605) - 6*sqrt(20)).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2322 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20141.\nAnswer: 11, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 6, h: 4, u: 1, y: 2}. Give prob of picking 1 u and 2 f.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e - -68?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/66)\/((-2)\/(-8)). Suppose -5*r - 4*n - 153 = 165, 238 = -4*r + 5*n. Let t = 182\/3 + r. What is the third biggest value in 4, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -16 + 2 - (-92 - -85).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17848 and 1840.\nAnswer: 178480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/3 - 4*n**3 + 36*n**2. What is the remainder when 109 is divided by g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.8. Let g = -532.7 + 533. Put -0.3, g, h in descending order.\nAnswer: g, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7686 and 1010?\nAnswer: -7762860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 56. Let h = t + 57. Solve h = -0*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/50544 and 115\/12636?\nAnswer: 50544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 435 - 181. Suppose -4*h - 2*p = -264, 6*p + v = 4*h + 3*p. Suppose -h - 25 = -5*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 6, y: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 958, 1032, 1136, 1270, 1434, 1628?\n\"Answer: 15*o**2 + 29*o + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -22*z**2. Let w(t) be the first derivative of t**5\/40 + 79*t**3\/3 - 113. Let n(v) be the third derivative of w(v). Calculate b(n(r)).\nAnswer: -198*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41235139 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -298?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98) + -2)*-6 - ((sqrt(162) + sqrt(162)*2)**2 - 3*(-2 + sqrt(2))).\nAnswer: -1452 - 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (33 + -7 + -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662514.8 rounded to the nearest one thousand?\nAnswer: -1663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 9}. What is prob of sequence bbu?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -1) + (-3 - -17). Suppose -p = 4*t - 4 - b, 0 = -2*p + 5*t + 40. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 118 + 8 = 0. Let r = 0 + 2. Suppose -3*o = -r*o. Solve -2*i - 2*b = j, 5*i + 6*b - 3*b + 29 = o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -995389.38 + -6.\nAnswer: -995395.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16557?\nAnswer: 3, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (9 - 9) - 8) + -5 - 25?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2425 + 2437. Solve 16*f = m*f + 2*x + 4, 3*x + 6 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 18. Let f(c) = -c**3 + 4*c**2 - 3*c + 3. Let w be f(3). Suppose 5*o + 4*h - b - 23 = 0, -4*o - w*h + 23 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 14*q = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -227 - -319. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5306 + 5334.385. Round v to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/(-64))\/(((-1)\/(-4))\/1). Solve -3*p + 5*a - 11 = 0, -2*a = -6*p + f*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*r + 2*m, -4 = -3*m - 1. Let i be (-2)\/r + 10\/3. Solve 6 = i*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*r - 164, 0 = -4*l + 2*r - 85 + 257. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0487, -3, -5161, -1 in increasing order.\nAnswer: -5161, -3, -1, -0.0487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -333221?\nAnswer: 333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2037\/2732 + -3\/683. What is the fifth smallest value in 4, b, 0.5, -0.3, -3.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156*25\/3600*24.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.3? (a) -2\/3 (b) -1\/40 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2*x**3\/3 - 627. Suppose -5*c + 6 = -24. Let v(r) = -5*r - 6. Let k(w) = -w - 1. Let q(s) = c*k(s) - v(s). What is q(m(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5784961*n**5 + n**2 - 65561*n + 34.\nAnswer: 347097660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let j(l) = 6*l + 45. Let f be j(-7). Suppose -v*m + 8817 = y - 0*y, -5*y + 8817 = f*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -3*t, -5*t = 3*n - 6 - 1. Let v be 12145\/(-10) + n\/1. Let z = v - -1172. Calculate the common denominator of z and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*q + 25*q + 34139611 - 34139611.\nAnswer: -163*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + 87. Let f be o(0). Let c = f - 126. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - y**2 + 8*y**2 + 2*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6877.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290585 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**2 + 1980793*g - 1980793*g + g**3.\nAnswer: g**3 + 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-364)\/455)\/((-19)\/5). Suppose 2\/19*q**3 + 2\/19*q**2 - d*q + 0 = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 777 + 6. Let o(w) = -w**3 - 7*w**2 - 2*w + 2. Let l be o(-7). Let p be (s\/116)\/(6\/l). Which is greater: 19 or p?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 3. Let u be z(-7). Suppose 0 = 7*s - 3*s + u. Let b(c) = 2*c**2 + 7*c + 5. Is b(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 + 0.07. What is the closest to t in 0, -1\/7, -2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 14 - 10)*(0*z - 2*z + 3*z).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2. Let m = 0 - t. Suppose h - 8 = 3*h. Sort 0.4, m, h.\nAnswer: h, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 1 in descending order.\nAnswer: 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((1 - 2)*(-5)\/(-20)). Let w be (o\/2)\/(16\/(-40)). Let n(j) = j**3 + 4*j**2 - 7*j - 6. Calculate n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 414*k**3 + 12*k**2 - 386*k**3 + 19.\nAnswer: -800*k**3 + 12*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23*(-2)\/4*-2. Let g = v - -37. Let x(d) = d**3 - 13*d**2 - 13*d - 13. Let l be x(g). What is the greatest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 74*i - 365. Let v be n(-5). Let g(y) = -21*y**3. Let d(b) = -b**3. Give v*d(k) - 2*g(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 705? (a) 5 (b) -0.4 (c) 275 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 67, 97, 123?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3\/8793650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168842 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Suppose -l*k - 3*o + 54 = -94, 0 = -5*k + 5*o + 150. Suppose 2*q - 110 = k. What is the greatest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u**3 + 4*u)*(-176 + 1885 - 10048 - 4684).\nAnswer: -13023*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y - 6*y + (2*y - 1 + 1)*(-1 + 4 - 4) - 57 + 27*y + 57)*(1 - y**3 - 1).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 43*c**3 - 5*c + 5. Let w(m) = -646*m**3 + 76*m - 76. Let s be (-76)\/(-6)*(2 + (-18 - -10)). Give s*l(n) - 5*w(n).\nAnswer: -38*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/185 + 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*a + 2*q - 0*q, 0 = -4*a + 4*q - 20. Let i be (a\/(-20))\/((-3)\/(-420)). Let z = i - 24. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 6. Suppose -5*d - 7 = o. Let m be (d + 5)\/(27\/(-18)). Is -5 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 < 674596\/237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*k = 6*k - 2, -3*k + 16 = 5*i. Let v = 1 + -2. Suppose 2*l = -3 - 5. Sort v, l, i in increasing order.\nAnswer: l, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23302301 (base 4) to base 6.\nAnswer: 1011345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 9*t - 5. Let s be a(-10). Suppose 5*m - s*n - 85 = 0, 2*m - 51 + 2 = -n. Let q = m + -16. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64320444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 37.\nAnswer: -0.4, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let c = 5 + -1. Suppose n + n - c*d - 20 = 0, -4*d = 3*n. Solve -n*h = -2 - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -7*g**6\/90 - 31*g**5\/60 - g**4\/2 + 158*g**3\/3 - 2*g + 158. Let s(n) be the second derivative of y(n). Factor s(p).\nAnswer: -2*(p + 2)*(14*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -90 in ascending order.\nAnswer: -90, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21118788 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 80. Let n be z(-17). Let r be (n\/26)\/(4*(-1)\/(-8)). Solve -3*h = 3*u, h = r*h - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + (-3 - (-10 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 280*w**2 - 493*w - 3. Let h(r) = -4*r**2 - r - 1. Let q(v) = -3*h(v) + k(v). What is the second derivative of q(o) wrt o?\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522404 (base 6) to base 12\nAnswer: -20404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/6, 90, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s + 44. Give n(-14).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**7\/42 - 5*c**4\/12 - 18*c. Find the third derivative of k(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-334)\/(-12) + 4\/24. Let f(p) = 2*p**3 + 8*p**2 + 8*p + 4. Let l be f(-3). Let v be (-42)\/l*1012\/69. What is the highest common divisor of q and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*sqrt(4719)*-2)\/(sqrt(33)\/(sqrt(88)\/sqrt(2))))**2.\nAnswer: 2416128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*1\/(-6)*-9. Let q(t) = t**2 - 4*t**2 + f*t**2. Let u(m) = 2*m**2. Determine u(q(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765a84 (base 11) to base 10.\nAnswer: 1223160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + b = 2 + 1, 3*q - 2*b = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.38 - -3.58. Let t = 34 + w. Let z = -0.7 + t. Sort -0.2, 1, z in decreasing order.\nAnswer: z, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 46 = -58. Suppose -4*i - 2*f = 0, -i - 3*f = -g*i. Is 4\/25 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*o + 5*y + 6 = -63*o, 6*y + 84 = -4*o. Let c(m) = m**3 + 10*m**2 - 30*m - 58. Calculate c(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -73. Which is the fourth smallest value? (a) -0.2 (b) t (c) 1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 83615821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1638822*b**2 + 1910496 wrt b?\nAnswer: -3277644*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 12982640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t + 63*a - 291 = 62*a, 6*t + 2*t = 5*t + 2*a + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135381477?\nAnswer: 307, 3698311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwebmeww. Give prob of sequence wwb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -376, -760, -1144?\n\"Answer: -384*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1\/25*-1). Let x = j + 36. Let i be (-219)\/(-4) - (-2)\/8. What is the greatest common factor of x and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/24 - n**3\/6 + 3*n**2\/4 + 4*n. Find h such that x(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428197*o**6 - 169260*o**2 wrt o?\nAnswer: -51383640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + (-104)\/(-10). Is 2 a factor of (24\/v)\/((-2)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4\/2 - 3293*v**3 - 21929*v**2\/2 - 9865*v - 2192 = 0 for v.\nAnswer: -2192, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 38*x - 323. Calculate the remainder when 224 is divided by p(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 11*k - 8. Let i be z(8). Let l(u) = -u + 41. Does 2 divide l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64405 - 30623. What is the highest common factor of t and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 9*k**2 - 7*k. Let q be g(8). Suppose -i = q - 72. Let c = i + -48. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/11 - 3662*p**2\/11 + 141322*p\/11 - 1349418\/11 = 0?\nAnswer: -1869, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ttvtvtaaavtavtt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (7 - (7 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112701 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21112 and 130?\nAnswer: 105560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011006037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t - 6 + 3*t - 2*t + 0*t**2 + 2*t**2. Let h(i) = -1. What is -6*h(u) + q(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/3)\/d**6)\/(d*d**0)**(6\/11) assuming d is positive.\nAnswer: d**(-271\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29550283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/12 + 3*f**3\/2 + 8*f**2 + 11*f. Let j be g(-7). Let n(p) = -5*p - 2. What is n(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba4c56 (base 13) to base 3.\nAnswer: 22020120012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155709 is divided by 2595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/209717719 and -51\/71401.\nAnswer: 2306894909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxm when three letters picked without replacement from mxixxmmxxxxmi.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*c**4 + 4030*c**3 + 65098*c**2 - 57430*c - 11484 = 0 for c.\nAnswer: -11, -18\/107, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + 6*o + 7. Let a(w) = -9*w**2 - 13*w - 15. Suppose 21*i = 69 + 57. What is i*a(z) + 13*l(z)?\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 675006.407 to the nearest ten thousand.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 7*b**2 + 60*b + 192. Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -7.7 (b) 0.8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -3\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o = 9544 + 13644. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 520, 468, 378, 250, 84?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -793484 divided by 2?\nAnswer: -396742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10 + -1)\/((-1)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 4168*h**3 - 134912*h**2 + 1083392*h = 0. What is h?\nAnswer: -2116, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -u - 3*g + g, 0 = -5*u + 4*g + 301. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 154*l**2 + 0 - 277*l**2 + 124*l**2 - 3 to the form t*l**2 + s + b*l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4407 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 717828325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3776 and 17\/16588.\nAnswer: 15659072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:10 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/207 - -623\/414. Factor -j*h**3 - 3*h**2 - 3\/4 - 1\/4*h**4 - 5\/2*h.\nAnswer: -(h + 1)**3*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405000 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Suppose -2*l + 6050 = 3*l. Let u(p) = 1210 + p - l. Calculate u(m(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 4*h - 18. Let c be d(-6). Let b be (c - (6 + 12)) + (-3 - 0). Is -24 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = -4154*x + 4190*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q + 0*q**2 + 1\/48*q**4 + 1 + 0*q**3. Let g(n) be the first derivative of i(n). Suppose g(z) = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -102, 9, 6\/31, 0.4 in ascending order.\nAnswer: -102, -0.5, 6\/31, 0.4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -85588951 divided by -5\nAnswer: 85588951\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28755.1585 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*x - 530*x + 22852 = 531*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*v. Suppose -11*u + 21*u = -30. Put u, v, 4 in increasing order.\nAnswer: u, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -158802\nAnswer: -4\/79401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/10*-2*(-1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 423168*l**2 + 577469 wrt l?\nAnswer: 846336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-26)\/2496*-3*(-8)\/(-60).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369 + 373. Factor 15*c - 99*c + 4*c**3 + 456 - v*c**2 - 276.\nAnswer: 4*(c - 3)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) -2 (b) -1 (c) -0.03 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 - 7*u + 25. Let d be b(9). Let t = d - 480. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*j - 56 = -4*n - 355*j, -15*n - 2*j = -15*n + 2 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 36, 3, -12, 4 in increasing order.\nAnswer: -89, -12, 3, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -7 (c) -3\/4 (d) 0.2 (e) -10\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55335.61 seconds to milliseconds.\nAnswer: 55335610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174599 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, -36, -51, -72?\n\"Answer: -3*t**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(363) + 0 + sqrt(363) + 3*sqrt(363)*2 + sqrt(363))*-1)**2.\nAnswer: 792*sqrt(3) + 29419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.85 * -2.9546.\nAnswer: 46.83041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398749 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 59, -197, -555, -1015?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179501 + -179462. Let y(m) = 4*m**2 + 4*m - 5. What is the remainder when y(-5) is divided by o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 18?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1124, -7632, -25288, -59666, -116340, -200884, -318872, -475878?\n\"Answer: -929*w**3 - 5*w - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 2537c863?\nAnswer: 2537c869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 7 + -1 + 85 + (1092 - 1087).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-three quarters of a micrometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**10)**32 assuming a is positive.\nAnswer: a**(640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 14. Solve 0*d - 20 = -i*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*q**4 + 1852960*q**3 - 6300836*q**2 + 7116528*q - 2668752 = 0.\nAnswer: -18533, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-2 - -2) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6675 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209421 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:34 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 7*t - 6. List the prime factors of b(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11594\/(-238) - -49 - 960\/28.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 9, -94 in increasing order.\nAnswer: -94, 9, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11622 (base 8) to base 2\nAnswer: -1001110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, 26, 89, 196, 359, 590?\n\"Answer: 2*q**3 + 4*q**2 + 5*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4215588.\nAnswer: 2, 3, 13, 61, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 26. Suppose -22 = 2*f + d + 4, -f + 3*d - 13 = 0. Let l be q(f). Let t(b) = -4*b + 1. Let x be t(l). Which is smaller: 1\/2 or x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 7:41 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 668 - 1?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020025 rounded to four dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7271037 to the power of 1\/2, to the nearest integer?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05294904 and 377.9755?\nAnswer: 378.02844904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/24*24\/(-40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 9*n**2 + 2*n - 83. Calculate q(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 27 = -5*s, -5*s - 13 = -2*s - z. Let b(g) = 2*g. Determine b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*d - 610*d - 43*d**3.\nAnswer: -43*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4026691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k + 30 = 54*k. Let y be (1 - 7)\/(4 - k). Suppose 3*h - 5779 = -v, h - v - 1923 = -y*v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -702, 2\/5, 0.978, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 times -6\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 361*b**2 + 176*b + 916. Determine m(181).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2082753139?\nAnswer: 1459, 1427521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/n**2)\/((n**(1\/6)*n)\/n**(-1\/3)) assuming n is positive.\nAnswer: n**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and 58\/993.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439656 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 201501926 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -171620000 to the nearest one million.\nAnswer: -172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 0 + 4 + -7. Differentiate 21 + 13 - 14*o**d - 30*o**3 + 14*o**2 wrt o.\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717*f - 167 - 12022 = 2151. Let p be 156\/(-15)*(-25)\/10. Solve -3*d + f = p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 100. Let o = c + -15. Solve p + 3*p**2 + o*p - 14*p + 0*p = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(2) - sqrt(18))\/sqrt(6) - (sqrt(3) + (sqrt(3) - (sqrt(3) - 1*sqrt(3)*-2))))**2 + (sqrt(108)*1 + -3)**2.\nAnswer: -36*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4052*b**4 - 2*b**3 + 2*b**2*n - 246986*b*n + n wrt b?\nAnswer: 48624*b**2 - 12*b + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfpfpf. Give prob of sequence pf.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let j = 152\/15 - 10. What is the third smallest value in s, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*2 - sqrt(45)*-2) + 3*(sqrt(80) + 2))**2.\nAnswer: 456*sqrt(5) + 7256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 - 7*b**2 + 7*b + 1. Let c be i(-10). Let l = 861 - c. Let v = l - -27407\/20. Find the common denominator of v and 79\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*146\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2378 + 5938 = 1017*g + 22883 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -28*h - 48. Calculate c(-5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*v + 6, 5*v = 5*y - 3 - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 20*h = 3. Let p = -22.491 + 22.5. What is the biggest value in 3\/8, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -475\/852 - -111\/284. Let t = -3.2 - -0.2. Which is the nearest to 0.2? (a) 1\/4 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a hour in seconds?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 530 + -4*(7\/(-28))\/(-1). What is the highest common factor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.2 (b) 10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -17*a - 1. Let k(x) = -18*x - 1. Let w(g) = -6*j(g) + 5*k(g). Let z = -138 - -141. Let n(r) = -2*r - 7*r + 10*r - z*r. Determine w(n(l)).\nAnswer: -24*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3812.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 2\/9 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6177 + -6177.03403. What is c rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 4 (b) 2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7590174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213112 + -1031?\nAnswer: 1212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80973 or 80935?\nAnswer: 80935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*g + 72. Let p = -11 - g. Let o = 2 - p. Is o at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*g**2*n**5 - 2004*g**2*n**3 + 1195854*g**2*n + 2*n wrt n?\nAnswer: 860*g**2*n**3 - 12024*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:21 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/15 - 988\/65. Suppose -3*z - z + 284 = 0. What is the tens digit of (0 - z)\/(n\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by -23\nAnswer: -385\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xllx when four letters picked without replacement from dglxxlxxsdnlxdl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422362847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -18*y. Let k(c) = -76*c**2 + 40*c**2 + 37*c**2. What is d(k(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away 8178?\nAnswer: -8176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*j + 3 + 0 = 0, 0 = 4*h + 2*j + 18. What is the smallest value in 7, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 7857, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-671)\/33*(-71)\/((-710)\/30).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -82*w**3 + 35*w**2 + 64*w - 36. Give x(-3).\nAnswer: 2301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1616 and 505?\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2338 and 31\/437829?\nAnswer: 146234886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 627 = -5*s - 212, -i + 3*s + 63 = 0. Let k be (12\/i)\/(2\/(-2)). Which is the biggest value? (a) k (b) -2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6367 - -6366.7. Sort 0, l, 1, 7, 2\/9.\nAnswer: l, 0, 2\/9, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u + 3. Calculate the remainder when (-2)\/(66\/70 + u) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -83*r - 1806. Determine s(-20).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.12 + 0.12. Let m = i + 6. Let u = 18.9 + -19. Is u at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 41*v**2. Let h(m) = -49*m. What is h(g(q))?\nAnswer: -2009*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2000 and 288760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(15)\/sqrt(3)) - (-1 + sqrt(7) + -2) - sqrt(21)\/(sqrt(432) + sqrt(432)*-1 + sqrt(3) - sqrt(3) - sqrt(3)).\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2 in decreasing order.\nAnswer: 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/88)\/(54\/48)*333\/(-135)*-9.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 903\/35 - 2\/(-10). Suppose 5*d - 116 = -g. Let z = -15 + d. Solve -4*a = -z*u - 4, -2*u + 33 - 9 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.152 from -0.5.\nAnswer: -0.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7af3 (base 16) to base 11\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {w: 5, f: 1, y: 8, v: 3, a: 1, n: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 538 = -9*f - 712 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 12. Let p = 13 + -5. What is the greatest common divisor of p and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b - 4. Let g be (-12)\/21 - (-64)\/14. Let t be k(g). What is the greatest common divisor of 120 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let o(v) = 1. Let l(p) = 5*p + 45. Let q(a) = -5*a - 45. Let w(u) = -3*l(u) - 4*q(u). Let n(y) = 90*o(y) - 2*w(y). What is d(n(s))?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16040*14\nAnswer: 224560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1568 - -1565 - (0 - (1 + 18))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 1, k: 1, b: 2}. What is prob of sequence bhhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1057, -1088, -1137, -1204, -1289?\n\"Answer: -9*k**2 - 4*k - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - t - 1. Let b be g(-2). Let d(m) = -2*m**3 + 4*m**2 - m - 2. Let p be d(2). Let w be 18\/(-9)*22\/p. Is b bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 25.7210733285.\nAnswer: 39.7210733285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.0054 - -30. Round j to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, -5 in descending order.\nAnswer: -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/10 + (-1518)\/(-15). Calculate the highest common factor of 238 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i**2. Let z(m) = 10*m**2 - m. Determine 2*w(t) + 3*z(t).\nAnswer: 8*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooppooooopoo. What is prob of sequence pp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 957472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 + 1969\/9. Sort 7, -1\/2, i.\nAnswer: -1\/2, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 300840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 35*j**3 - 10*j**2 - 138*j + 42. Let z = -8 - -1. Let t(h) = 105*h**3 - 30*h**2 - 413*h + 127. Let w(i) = z*y(i) + 2*t(i). Let w(v) = 0. What is v?\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (46\/11 - (-4)\/(-22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w**3 - 14*w**2 + 3*w + 8. Let k(r) = -2 + 5 - 786*r**3 - 7*r**2 + 4*r + 2*r**2 + 782*r**3 - 3*r. What is 8*k(b) - 3*u(b)?\nAnswer: 7*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -6.4. Let l = -30885 + 30881. Which is the nearest to 2\/17? (a) -2\/21 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 d when three letters picked without replacement from dhhiddd?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 108 = -29*p. Which is greater: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**14*b*b**(-3\/4))**(11\/4) assuming b is positive.\nAnswer: b**(671\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Let m = 81 - 80. Let s = 4 - m. Which is the third smallest value? (a) 2\/13 (b) s (c) -0.3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 9*l**2 + 11*l - 7. Let w be h(-7). Put -5, w, -3, 3 in increasing order.\nAnswer: -5, -3, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/13 - -56\/117. Let n = -55.4 + 50.22. Let a = -0.18 - n. Sort q, a, -1\/3, -0.1 in descending order.\nAnswer: a, -0.1, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(125) + 0)*-3*-6*4)**2.\nAnswer: 23328000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 0 + 0)*(-14 - 26 + 24) - 5*k + 6*k + k in the form q + m*k and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h**2 - 13*h**2 - 61*h**3 + 120*h**3 - 33*h**2 - 2 - 58*h**3 to the form f*h**2 + i*h + a + w*h**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1870688604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3036 divided by -2\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 - -276. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 3. Let m(h) = h + 2. Let p(w) = -2*d(w) + 3*m(w). List the prime factors of p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from tsddusd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -5, -78\/7 in descending order.\nAnswer: 2, 0.4, -5, -78\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(540)\/sqrt(12))\/(-5*sqrt(900)).\nAnswer: 2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85788, -171310, -256832, -342354, -427876?\nAnswer: -513398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*s**2 - n**3*s*z - 19*n**2*s*z - 29*n**2*z + 8561*n*s**2*z + 2*z wrt s?\nAnswer: 4*n**3 + 17122*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1254124 and 226.\nAnswer: -1253898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5020 and 49694610.\nAnswer: 49689590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-12) + 1\/4. Let z = n + 5. Suppose -134*t = -139*t + 4*s + 345, -1 = -t - 6*s. What is the remainder when t is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*t - 31*t - 26720 = 0 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*i = -41208, -26*g - 16484 = -28*g + 2*i. Does 43 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/(4\/(-30)). Let m(n) = n + 10. Let q be m(-5). Suppose -5*t = -q - 20. Solve -y*s + t = -10*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*z - 2106, m - 1654 = 3*z - 600. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 37*f + 176. Let a(m) = 37*m + 201. Determine -5*a(h) + 6*l(h).\nAnswer: 37*h + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 = -y, 2*v + 2*y = 1 + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7037 + -9?\nAnswer: -7046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 357890473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 106, 227, 396?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*y = -0 - 2, 10*i = -2*y + 30. Solve 0 = 2*j + g + i, 7*j - 4*g = 3*j - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 6*q - 10. Let f be p(-6). Is (-3)\/(-36)*4 + f\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 11*p**2 - 48*p - 366. Let r = 5 - 11. Let n = r - -26. What is the lowest common multiple of n and y(-10)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8 = -18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 2*x - 3. Let r be f(5). Suppose -2*p - p = 2*g - 33, r = 3*g + p. Solve -g = 3*v - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1776709 decades?\nAnswer: 21.320508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Suppose w - 2*w = -4. Suppose -w*x = -x - 3. Sort x, -3, f in descending order.\nAnswer: x, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.491814 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 0.15, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k - 1. Let b(x) = 14*x**2 + 5*x + 6. Give f(b(a)).\nAnswer: 182*a**2 + 65*a + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97052*p**2 + 2461*p + 1039094029 wrt p?\nAnswer: 194104*p + 2461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 - 674*b**2 - 2281*b + 222. Determine f(228).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169625?\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2. Let h(l) be the first derivative of 0*l + 5\/2*l**2 - 2 - 4\/3*l**3. Let a(d) = -5*d**2 + 6*d. Let k(x) = 5*a(x) - 6*h(x). Calculate k(c(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13496 is divided by 300.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 33. Let j = 2 - z. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - 10 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (31\/(-5) - -6) + 41\/5. Let g(o) be the first derivative of -o**4\/4 + 7*o**3\/3 + 7*o**2\/2 - 2*o + 2. Calculate g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(-2 + -1 + sqrt(125) + (sqrt(125) - (sqrt(125) - (sqrt(125) + sqrt(125)*-1)*-1))))**2*-2 + -3.\nAnswer: -273 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/(-111)*(-6)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -369 + 368.9371. What is w rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.12 - -0.12. Put 0.08, g, -2 in descending order.\nAnswer: 0.08, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47798772.28149 take away -4?\nAnswer: -47798768.28149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*y + 340*y + 52 = -746 - 359 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.440064978 to one decimal place.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*k - 66. Let d be (112\/12)\/k*3\/(-2). Solve -d*i = -u - 1, -4*u = 3*i + 2 + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.87kg in nanograms?\nAnswer: 245870000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10\/8 + -2)*(20 - 236)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 7. Let u(p) = 2*p + 7. Let m be u(-6). Let w(f) be the first derivative of -f**3 + 10*f - 28. Let z(r) = m*w(r) - 7*k(r). Factor z(y).\nAnswer: (y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -30 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*t - 32458 - 10002, 5*y = -5*t + 53125. Is y a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*v - 377*v - 1206 = 0. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1194964993 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*c - 3577385 = 0, 10*j = 7*j - 4*c - 5366088. Round j to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 114*k**2 - 72*k + 2240.\nAnswer: -2*(k - 4)*(k + 5)*(k + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36163*o**2 + 11 - 18071*o**2 - 18076*o**2 in the form w*o + k*o**2 + h and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5*u**3\/6 - 6*u. Let c(d) = 3*d**2. What is w(c(x))?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088) + -2 + 3 + -3 + sqrt(1088)*-2*-3 + -4)**2.\nAnswer: -768*sqrt(17) + 69668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197569 is divided by 7317.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, o: 2, n: 4, q: 2}. Give prob of picking 1 o and 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-2 - 2) + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 54749 = 363988. Suppose 2*z = -l + 558067. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582580 < 1582606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2914820 divided by 8573?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3120981*g**5 + 2*g**4 + 1968657*g**2 + 2*g + 2 wrt g.\nAnswer: 187258860*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 + 25*w**2 + 40*w - 60 = 0. Calculate w.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31773700 a multiple of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1000)\/(-20))\/600*(-8)\/130*10\/1\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**6\/30 - o**5\/4 + 10*o**3\/3 + 8*o**2 + 31*o + 1. Find f, given that k(f) = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10460.2 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 1. Suppose -n + 6 = 1. What is the remainder when (18\/(-27))\/(s\/42) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = h - 328290. Let b = -15020 - h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 14498\/15027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -41.3. Let f = g + 4.08. Let s = -0.5 + f. Round s to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -401.07309?\nAnswer: -9224.68107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, -375, -372, -369, -366?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/21, 0.02, -2, -1\/6.\nAnswer: -2, -1, -1\/6, 0.02, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 394723 and 4340?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/26*(-50999)\/(-39230)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710566566.\nAnswer: 2, 3, 89, 1330649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -281251*v - 8. Let c be g(-8). Round c to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 467 = -503. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.4447 months to years.\nAnswer: 17.203725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 9*q + 61 = 0, -20428*q - 305 = -5*z - 20430*q for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 7) to base 6\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**5\/270 + w**4\/36 - 2*w**3\/27 - w**2\/2 - 11*w - 54. Let h(b) be the second derivative of l(b). Factor h(f).\nAnswer: -2*(f - 2)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 44*j**2 - 606*j - 2. Let x(h) = 147*h**2 - 1817*h - 7. Calculate 10*u(y) - 3*x(y).\nAnswer: -y**2 - 609*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 14 = -4*r. Suppose -5*y + 38 = -r*i - 22, 2*y + 4 = -4*i. Let k(f) = -2*f**2 + 18*f - 11. What is the remainder when 8 is divided by k(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3 + 218*b**2 + 433*b + 216 = 0. Calculate b.\nAnswer: -216, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/20727 and -40\/9.\nAnswer: 20727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*n + 19, -1 = -2*n + 9. Solve -5*x = 5*r - 5, 3*r + 5*x = -0 - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 0, 0*v = 4*v + 5*z - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -98. Sort -0.4, w, 2\/17, -1\/4 in descending order.\nAnswer: 2\/17, -1\/4, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -639 - -3197\/5. Suppose 0*s - 4*c = 3*s - 7, 2*s - 4*c - 18 = 0. Suppose 5*t + 20 = -s*h, 4 = -3*t + 2*t. Put 4, h, o in descending order.\nAnswer: 4, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53714.00034567 + 53714. What is c rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 11*y = -169120. What is y rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103198\/7 - 14768. Is l <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 13.792328?\nAnswer: 13.992328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/9 (b) 0.3 (c) 0.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 48. Let t be b(0). Let f = 29 + t. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbmm when four letters picked without replacement from {b: 5, d: 2, m: 2}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 421 - 417. Suppose 0 = 2*r + 3*c + 5 + 4, -2*c - 25 = -5*r. Solve 0*m - r*x + 9 = m, g*m - 2*x - 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88, -146, -160, -106, 40, 302, 704?\n\"Answer: 4*c**3 - 2*c**2 - 80*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56 and 47.\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*z**4 + 14*z + 2.\nAnswer: -768*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v. Let f(d) = -d**2 - 12*d + 1. Let a be (4\/8)\/(2\/(-48)). Let l be f(a). Put l, v, -3 in decreasing order.\nAnswer: l, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -1088, -1633?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(3*o**2 - 2*o**2 - 2*o**2)*(-1119*o - 1426*o + 222*o + 366*o) to the form b*o**2 + c*o**3 + h + g*o and give c.\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 7*a**2\/2 - 2. Let o(y) = -50*y**2 + 15*y - 30. Let s(v) = 7*v**2 - 2*v + 4. Let g(j) = -2*o(j) - 15*s(j). Give g(i(q)).\nAnswer: -245*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.8167 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 661930.9 millilitres in litres?\nAnswer: 661.9309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(3*g - 5*g + 4*g) + 2*g - 6*g + 3*g)*(-3*g**3 + 12*g**3 + 28*g**3) to the form c*g**3 + a*g + q*g**2 + m + d*g**4 and give d.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 762 - 759. Suppose 5*u = 3*z + 15, -u - 6*z = -4*z - 16. Put u, j, -2, 5 in decreasing order.\nAnswer: u, 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.03 + -25.8075. Let n = -0.4365 - d. Round n to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2769284 and 6532?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -819*c**4\/4 + c + 1. Let p(z) = -z**2 - z - 1. Let i be p(-1). Let f be k(i). Round f to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = 1. Let o = 1 - r. Solve -5 = 2*b + o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 51. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -702, -1446, -2656, -4566, -7410?\n\"Answer: -39*a**3 + a**2 - 474*a - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 2*z**3\/3 + z**2 - 26*z + 9. Let w be y(9). Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1)*2*-1. Let h(o) = o + 9. Let l be h(-7). Let 2*k**3 - 4*k**4 + m*k**l + 2*k - 2*k + 0*k = 0. What is k?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7*x = -2*x - 325, n = -x + 109. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67358687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**49\/((a\/(a**(3\/4)*a))\/(a\/a**(-1\/5))))\/((a*a*a\/(a\/(a\/(a*a*(a\/a**0)\/a)))*a)\/(((a\/(a*a*a**(-5)))\/a)\/a*a)*a**(-3)*a\/a**0) assuming a is positive.\nAnswer: a**(1079\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 2778 - 2280. Solve -6*j + 516 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 14*d + 270. What is n(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 84, 0, -5 in decreasing order.\nAnswer: 84, 0, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 19 - 9. Let w be 0 + (-3)\/4 - 35\/n. Let f(q) = -2*q**3 + 2*q**2 - 3. Calculate the lowest common multiple of f(w) and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 - 776865*m**2\/4 - 215794581*m\/4 - 14993694951\/4.\nAnswer: -3*(m + 139)**2*(m + 258677)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.156 - 0.044. Put 2\/5, 2, w, -0.4 in decreasing order.\nAnswer: 2, 2\/5, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495155 and 1186.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5\/3, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27623 divided by 27623\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4 = p - 8, 3*l = -9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8 = -138. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5\/10 - 131*r**4\/10 - 1519*r**3\/10 + 1783*r**2\/10 + 152*r - 826\/5 = 0?\nAnswer: -118, -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - x. Let z(h) = -233*h**2 - 7*h - 2. Determine -6*a(s) + z(s).\nAnswer: -227*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/3 + 23*m**3\/6 - m. What is the second derivative of i(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyukm. What is prob of picking 1 k and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -603.2 - -603. Which is the nearest to -3? (a) 2 (b) -5 (c) i (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/63)\/((-3)\/(-14)). Let m be 10\/15*(-18)\/v. Let u be 3\/(m - (-9)\/2). Solve -o = o + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-5) + 1\/5. Let r be 7\/k + (-8)\/(-12). Let x(o) = -o**3 - 5*o**2 - 3*o + 5. Let s be x(-4). Solve f = -r + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5 + 1. Let v be 24\/(-15) + f\/(-10). Let x be (8\/12 + (2\/(-6))\/1)*-8. Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -142042?\nAnswer: -142044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.402566096 to 2 dps.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38297939, 38297937, 38297935, 38297933, 38297931?\nAnswer: 38297929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q - 468 = 0. Let f = q + -101. Suppose -f*d + 15 = -13*d. Calculate the remainder when 20 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -y + 1726, 0 = -5*u - 25 + 20. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -31, 2, -146, -73 in ascending order.\nAnswer: -146, -73, -31, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 - v**2)*(2*v**2 - 5*v**2 + 2*v**2)*(-2*v - 1 + 1) - 938*v**5 + 118*v**5 + 106*v**5.\nAnswer: -720*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -221\nAnswer: -44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k - 46. Let t be -2*((-2)\/4)\/((-8)\/(-32)). Let j be b(t). Suppose 72 = -j*z + 12*z. Calculate the highest common divisor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3934427 is divided by 7555?\nAnswer: 5827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 8*h + 2 - 4*h**4 + 4*h**2 + 21*h**3 - 29*h**3 - 2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 + -88. Let o = -151.000081 + i. Round o to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1501*n - 1569*n + 2856 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 7470?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 909?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 536007, 536012, 536017, 536022?\n\"Answer: 5*n + 536002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 103 = 5*j, -7*j + 3*j + n = -79. Suppose 68*c - j = 64*c. Solve 5*w - 24 = -0*w + 2*d, 4*d - 12 = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 4. Suppose -z*q + 4 = -4. Solve -q*i + 1 = -19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n)\/(n*n\/n**5))\/(((n*n**(3\/7))\/n)\/n**(-3\/7)) assuming n is positive.\nAnswer: n**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102228 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*o**2 - 37*o + 4*o**4 + 13*o**2 + 2*o**4 + 2*o**4 wrt o.\nAnswer: 96*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 91\/(-49) + 1 - (-223644)\/42. Calculate the highest common divisor of w and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -68, -6, -9 in ascending order.\nAnswer: -68, -9, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580586509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21462145 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -115, -291, -545?\n\"Answer: -39*q**2 + 19*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*r = -77, -5*l - 2*r + 220 = -4*r. Let b(p) = p**2. Calculate the remainder when l is divided by b(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30008 divided by 801\nAnswer: -30008\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56984.4859 rounded to the nearest 10?\nAnswer: 56980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f + 9. Let h(t) = -36*t - 17. Give 6*h(m) + 11*x(m).\nAnswer: -29*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + 0*l)*(16 + 725 + 337).\nAnswer: 1078*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-776)\/28. Let a(q) = 2*q + 7. Let s be a(-16). Let u = n + s. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)*(1 - -2). Let p(t) = -1 - 2918169*t - 2 + 2918170*t. Let v(g) = -2*g + 7. Determine c*v(u) + 5*p(u).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*9\/(-6). Let s = 72 - 69. Calculate the highest common divisor of t and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45971 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 20*w**2 - 34*w - 13. Give i(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -18*y**3\/13 + 7042*y**2\/13 + 1477108*y\/13 - 3317040\/13 = 0.\nAnswer: -153, 20\/9, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 335615173 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.409834 kilograms in nanograms?\nAnswer: 2409834000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - r = 185, -r + 45 = d + 2*r. Suppose 22*a = -106*a + 8233 + 1367. What is the greatest common factor of a and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - j**3 + 15 - 7 - 7 in the form q*j**3 + a + h*j**2 + n*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-684)\/(-3) + (1 - -2). Suppose -r = -2, 0 = -3*n + 5*r + 46 + 7. Calculate the highest common divisor of v and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**6*(w*w**(-1\/8))\/w*(w**(-2\/3)\/w*w)**(2\/83) assuming w is positive.\nAnswer: w**(-10241\/1992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**3 - 69*u**3 + 39 - 39.\nAnswer: -93*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v + 9. Let p(l) = 2*l + 2. Let f = 4 - 3. Let b be (f - -1)*(-6)\/(-4). Suppose -5*u - 2 - 8 = 0, 68 = -b*x + 5*u. Calculate x*p(r) + 6*k(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*(-1092)\/(-126)*(-60)\/8\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -20*f**2 - 5*f + 4. Let u(x) = -18*x**2 - 6*x + 6. Calculate 7*q(l) - 6*u(l).\nAnswer: -32*l**2 + l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 526254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/9 and (-3*1\/(-3))\/(-38*278\/(-176)).\nAnswer: 23769","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189905\/72 + -21081\/8. Factor -2\/9*s**2 - 4 + c*s.\nAnswer: -2*(s - 9)*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5183*t**3 - 3665*t**2 - 2*t.\nAnswer: 31098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 296, 589, 878, 1163, 1444?\n\"Answer: -2*n**2 + 299*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -12 - (4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122286507 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7095 divided by 1419\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(2299) + -1*sqrt(2299))**2 + -3 - -5*(sqrt(931) + sqrt(931)*1)**2.\nAnswer: sqrt(19) + 18617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:38 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 1736 (c) 5 (d) 0.4 (e) 5\/3 (f) 1 (g) 1.85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/22 + 8\/(-440)*10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5933*m**2 + 5933*m**2 + 5*m**3 + 2*m.\nAnswer: 5*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1437423?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 268 + 76. Suppose 3*j + f = 85. Calculate the remainder when 10 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.4 - -33. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1088821795*s - 273570639 with respect to s.\nAnswer: 1088821795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3861109 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32070*q - 286 = 32048*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32617 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: Rearrange 2*u**2 + 0*u**3 - 6*u**2 - u**3 + 2*u**2 to g*u**2 + f*u + d*u**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 + 25*j**2 + 119*j + 95 = 0. What is j?\nAnswer: -19, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -8, -7, -4, 1?\n\"Answer: h**2 - 4*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45428 + -0.15428. What is the closest to 2 in -61, 2, y, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h**2 - 2*h + 2. Let f(a) = 27*a - 392. Let u be f(15). Let p(g) = -4*g**2 - g + 1. What is u*p(w) - 6*q(w)?\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 18. Let z = -775283 - -775270.999986. Let y = s - z. What is y rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*f - 15 = -104, -2*f = -x + 48. Solve 8 = -3*b + 4*p, -41*b + x*b - p = -19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2530300625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let s(c) = 22969*c**2 - 149. Calculate n(s(p)).\nAnswer: -68907*p**2 + 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2280 and 59834895?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34255 and 8?\nAnswer: 274040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1045 - 480 + 2271)*(-3*d + 0*d + d).\nAnswer: -1492*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/(b\/(b**(-2)*b)))**(15\/2) assuming b is positive.\nAnswer: b**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 615 and 1248327?\nAnswer: 6241635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3721272, 7442477, 11163682?\nAnswer: 14884887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c*f**2*i**4 + c*f**2*i**2 - 14*c*i**3 - 3*c*i**2 - 3*f**2*i**2 - i**4 wrt i.\nAnswer: 96*c*f**2*i - 84*c - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 27. Let p be 29\/4 + n\/12. Let k = p + -5. Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 64695.7 centimeters?\nAnswer: 646.957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i + 47*i - 1076*i + 34254 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -4*t + 58, 2*y - 16 = -t. Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-20)*4\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from {a: 4, v: 4, f: 2, s: 1, z: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0917 + 2.9083. What is the third biggest value in 0.4, 0.71, y, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3064 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 228237220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 + q - 5. Give n(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u - 5*d = 3394, -16375*u + 16378*u + 151 = -5*d for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*-2)\/(sqrt(288) + sqrt(288) + -2*sqrt(288) + sqrt(288)) + (sqrt(76)\/(sqrt(20)\/sqrt(80)))**2 + 1.\nAnswer: -2*sqrt(19)\/3 + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*h - 2 = -h, 2*h = v - 2. Suppose v*g - 2*c = 8, 1 = 4*g - 3*g - 4*c. Let q(u) = 16*u**2 + u - 1. Let m be q(1). Solve m = -n + g*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1593 + 1683. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -7*m**3\/6 + 9*m**2\/2 - 4*m - 12. Let u(a) be the first derivative of x(a). What is the derivative of u(g) wrt g?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 22*z**2 + 6*z + 7. Calculate g(-22).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 7*b. Let w be (-2)\/(-10) + (-41)\/5. Calculate m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2715086*j**3*y**2 + 4*j**3*y + 81*j**2*y - 2*j*y - 51*y wrt y.\nAnswer: 5430172*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*f + 18 = 0, -5*f + 11 = 3*b + b. Let j = 32 + -30. Suppose -22 = 4*u - j, 4*k = -b*u + 40. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583489 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/120 - x**5\/10 - x**4\/24 + x**3 + 6*x**2 - 96. Determine u so that y(u) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/92652 and -47\/66180?\nAnswer: 463260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/2142 + 6*18\/(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*(-93 - 0))\/((-60)\/(-40)). Suppose 2*k - 8*k + h = 0. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2686417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4739, -4667, -4595, -4523?\nAnswer: -4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -23, -19, -13, -5, 5, 17?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 117 = 29*n - 20*n, z - 25 = -2*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x - 5. Suppose 0 = 2*f + 2*f + 2*d + 34, 0 = 2*f + 3*d + 19. Let w = -84 - -86. Let u be 4\/f - (-1)\/w. What is k(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610804060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.8 and 161?\nAnswer: -8500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 1. Suppose 0 = -s + 4*g + 3 - 8, -5*s = r*g - 21. Let p be (-1)\/(-1 + 0) - 0. Solve c - s = p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61936488 is divided by 1816.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234041, 468083, 702125?\nAnswer: 936167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -3*d + 7*d - 20, 0 = 102*m - 101*m + 2 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 28*v - 48. Determine u(-25).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 443 (b) 0 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10921680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haahaahaaaahaaah. What is prob of sequence ahh?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 294119\/53 in decreasing order.\nAnswer: 294119\/53, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 795038327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 326*w**3\/7 - 996*w**2\/7 + 670*w\/7 = 0. Calculate w.\nAnswer: 0, 1, 335\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -0.4, 0.3, 3, 18111, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiaaqqoiqqaqo. Give prob of picking 1 o and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 1084*x - 1700*x**3 + 144*x.\nAnswer: -1700*x**3 + 1241*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(72) + 4 + -1*sqrt(2))**2 + ((5 + sqrt(2) + 1 + sqrt(32) + 0)*-4)**2.\nAnswer: 1000*sqrt(2) + 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0123402019 rounded to four decimal places?\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-3 + 1 + 1). Suppose -d*i + 2 = -1. Let c(l) = 3*l**3 + l**2. Let p be c(i). Solve -5*x = 5*k - 15, p*k + 2*x - 12 = 5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 3*z**2 + 2*z**2 - 2*z**2 - 14*z + 2*z.\nAnswer: -z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 8. Let j = b + 7. Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -441*r + 216*r - 902*r - 2257*r in the form k + j*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160951010 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 264*d + 8712.\nAnswer: 2*(d + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 583722 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 4, -6, 6 in descending order.\nAnswer: 6, 4, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -17*i**7\/840 + i**6\/15 - 9*i**3 + 20. Let u(l) be the third derivative of b(l). What is the third derivative of u(c) wrt c?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -22. Let k be (8\/(-14))\/((-1)\/u). Suppose -k*c - 3*c = -49. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 34 = 3*v, 2*v + 18 + 6 = k. Let b be (3\/(-3))\/1 + -1. What is the closest to -2\/5 in -3\/7, b, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16079173531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.6 - 6.23. Let g = -0.03 - o. Let y = 155\/4 - 39. Put g, 8, y in descending order.\nAnswer: 8, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30, -5 in increasing order.\nAnswer: -5, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 - 2*k + 6. Suppose 4*l = -4*q - 4, -l = -3*q - 3*l. Suppose h = -q*h. Suppose 2*n - c - 3*c = 24, h = -3*c - 12. What is w(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/8)\/r**(-16\/9))\/(r**4\/r**12) assuming r is positive.\nAnswer: r**(785\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7939 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -12*z**3 + 59*z**2 - 26*z + 288. Determine f(7).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33)\/(-77)*-1 - ((-39048)\/21 - 1).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - w - 2*w + (4 - 2 + 1)*(41 - 41 + 27*w) to c*w + u and give c.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 + 20*y + 128. Let z be s(-5). Suppose 2*w + 3577 = 3*i, 3208 = 2*i - z*w + 825. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 != 27211\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 559664534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 10) in base 11?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - 225*f - 316. Determine s(47).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -874630 rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8053*w**3 - 3090*w**2?\nAnswer: -48318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 1490*f - 71482 - 13256 = 23*f for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(90\/(-5)))\/(6\/1).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7518*f + 36800 = 6368*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 3159, 10598, 25089, 48984, 84635, 134394?\nAnswer: 200613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/12 - 1)*-9. Suppose 2*w = -3*p + 6*p - u, -11 = -2*p - w. Let t(i) = 5*i**2 - p*i**2 - i**2 - 6 + i**3. Give t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-56))\/((44\/330)\/((-21)\/45)) + 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - (-1026)\/(-1615). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22201 (base 5) in base 13?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 3*q**2 + 5*q - 4. Suppose 2*f - 6 - 2 = 0. Let m be d(f). Solve m*c = 5*z - c, 2*z + c + 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 + 155\/31 + (-22)\/2 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + -1 + 6 + (49 - 46).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51289329 is divided by 1268?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/29)\/z)\/z*z**(-3\/5)*z assuming z is positive.\nAnswer: z**(-227\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1173)\/(-115))\/(-51) + (-21)\/(-155)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 24. Let x = -3 - -5. Find o, given that 0*o**2 + 3 + 7*o**2 - q*o**x - o**3 + 5*o = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5 + x**4\/12 - x**3\/6 + 20*x. Calculate the remainder when y(1) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 296279, 296280, 296281, 296282, 296283, 296284?\n\"Answer: g + 296278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 2*r - 2. Let q be s(-2). Suppose -n - 1 + q = 0. Suppose -3*j + 0*f = 3*f - 12, 5 = n*f. Solve 7*d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*p**3 - 1 - 4*p**3 + (p - 3*p + 9*p)*(-72 + 12*p**2 + 72) as t*p**2 + s + z*p + w*p**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmsmmsssmmmsmsm. Give prob of picking 4 s.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298858*m + 35*m**2 + 298827*m - 896538*m + 298853*m.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1168*u + 14029. Determine o(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2599034 millennia to months.\nAnswer: 3118.8408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -212, -335, -476, -641, -836?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 290*w**3*x**2 + 1578046*w**3 - 2*x**4 + 572*x**2 wrt x?\nAnswer: 580*w**3*x - 8*x**3 + 1144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(-4)*(a\/(a*((a\/(a\/a**1))\/a)\/a*a))**(3\/7) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 6. Let y be w(-7). Let o(u) = 6*u - 2. Let j(n) = -n**2. Let h(a) = y*j(a) - o(a). What is h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 332787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458 + 1140 = -161*d + 666 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5123*d**2*q + 2114*d + 9638528*q wrt d?\nAnswer: 10246*d*q + 2114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*u = 161*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 2*j + 2*j)*(-1407 - 867 - 803 + 854).\nAnswer: 4446*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90\/7*p - 3\/7*p**2 + 648\/7.\nAnswer: -3*(p - 36)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/((-1976)\/(-234)))\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -474.91?\nAnswer: -2849.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 245941050 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: Calculate ((6\/9)\/2)\/(((-238)\/(-51))\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 862 - 12923\/15. What is the common denominator of y and -57\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**4\/3 + 52*j**3 - 184*j**2 + 848*j\/3 - 160.\nAnswer: -4*(j - 2)**3*(4*j - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15438*c + 2294*c = 381176 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 - 19 = 0. Suppose -c - 2*p = -13, c + 4 = 4*p - 7. List the prime factors of h\/((-9)\/(-6)) + c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15 - 15 - 28*l**2. Let r(z) be the second derivative of -z**4\/12 - 7449*z. Give h(r(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (19 - (-3 + 22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a - -bcd?\nAnswer: c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.41, -0.1, -0.2, -3 in increasing order.\nAnswer: -3, -0.2, -0.1, 6.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, v: 2}. Give prob of picking 2 v and 2 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 + 2*o**3 + 997*o**2 + 10326*o wrt o?\nAnswer: -36*o**2 + 12*o + 1994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 2. Let w(z) = -2*z - 1. Let s(r) = -7*w(r) + 4*y(r). Let x be s(3). Factor -x*h**3 - h**3 + 6 + 3*h**3 + 9*h + 0*h**3.\nAnswer: -3*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {w: 1, q: 1, i: 2, p: 1, v: 1, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o**3 + 3*o**2 + 2*o - 3. Determine n(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 216814245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38962 and 322.\nAnswer: 38962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhbeq. Give prob of sequence he.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65451 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 742 - 278. Let w = 457 - c. What is the fourth smallest value in -4, -0.2, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(1 + sqrt(704) + sqrt(704)*2 + sqrt(704) + -1 + sqrt(704) + -1))**2 - (sqrt(704)*3*1 + sqrt(704) - (3 + sqrt(704))*6)).\nAnswer: -2200215 + 9920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462281519.\nAnswer: 7, 41, 43, 47, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1571*p**3 + 1507*p**3 + 751*p**3.\nAnswer: 3829*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/4)\/((-95)\/10)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054395510309 - -0.82?\nAnswer: 1054395510309.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 + 3*o**2 - o + 16. Let b = 47 + -72. Let f be 15*((-1)\/4)\/(b\/(-60)). Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(588)*2)**2 + -5)*-4 + -1)*-3.\nAnswer: -56334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**4 - r**3 - 17*r**2 + 41*r + 18. Let g(y) = y**3 + 4*y. Let o(b) = -40*g(b) + 5*l(b). Solve o(c) = 0 for c.\nAnswer: -6, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3 - 2624*u**2 = 0.\nAnswer: 0, 2624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15 - 45 + 16*h - 16*h - 75*h. Let x(q) = 37*q + 15. Let k(s) = -6*v(s) - 13*x(s). Differentiate k(p) wrt p.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 120. Suppose u + v = -2*u. Let m(x) = 2*x**2 + 6*x + 12. What is the units digit of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13231023 + -11?\nAnswer: -13231100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13 = 11. Calculate the remainder when 23 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 87. Let o(t) = -2*t**3 - 4*t**2 + t - 7. Let v be o(q). Solve -v*h + 3*h - 3*m + 34 = 0, -12 = -4*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -4)*511 + 159\/53 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1776 and -75\/8288.\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -93, -191, -323, -489, -689?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 12:29 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w**4 - 652*w**3 - 6324*w**2 + 5904*w.\nAnswer: -w*(w + 12)*(w + 82)*(7*w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxf when four letters picked without replacement from {q: 2, x: 11, a: 2, f: 3, v: 1}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1457154 litres in millilitres?\nAnswer: 145.7154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38091 and 258?\nAnswer: 3275826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 187*o. Let w(b) = 1464 - 733 + 10*b - 731. What is j(w(s))?\nAnswer: 1870*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 12. Let j = 15442 - 15442.1. Which is the second biggest value? (a) j (b) 22 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -23. Let j be (8\/2)\/b + 39. Suppose 4*h = 8*h - 16, 5*f = -5*h + j. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 9851*f - 9853*f - 4*a, 95 = 8*f + 5*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/30)\/((-11)\/(-5) + -1). Which is the second smallest value? (a) t (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81773*m**4 - 131066*m?\nAnswer: -981276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 10. Let m(r) = 1. Let u(t) = -c(t) + 2*m(t). Let q = 10 - 7. Let f be 0 - 0 - (3 - q). Determine u(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*w**4 + 4 - w - 159*w**4 + w**3 + 2*w in the form a*w**4 + y*w + v + d*w**2 + l*w**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*z - 24, -4*z + 2*t - 4 = 8. Let d be (-612)\/162 - (z + 22\/18). Let s be (-1)\/(2\/((-24)\/d)) - -3. Solve s*i + 2 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 + 12 = 0. Let u(x) = -r*x**2 + 2*x - x - 1 - 2*x**2 + x**3. Calculate u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*y - 15, -y - f + 3*f - 8 = 0. Let h be 0\/(1*(5 - 4)). Put y, 4, h, 0.5 in decreasing order.\nAnswer: 4, 0.5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - (-14 + 2)) + (252 - 255)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*f**12*f*f**(1\/9)\/f*f\/f**0*f assuming f is positive.\nAnswer: f**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(147))*3*-2.\nAnswer: -42*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1527934*v**4 + 12686474*v**2 wrt v?\nAnswer: 36670416*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 10*m - 7. Let h be b(-10). Let n = h + 5. Sort -1, 5, n in ascending order.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -27*h + 75. Suppose -5*p = 5*u - 45, p = 232*u - 227*u - 27. Give s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -21*r - 59*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and (-10)\/((-560)\/(-240) + (0 - 3))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153724 is divided by 73342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -64. What is the common denominator of 103\/20 and d\/(-20)*(-212)\/270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 29\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggypgbgygy. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194702 weeks in milliseconds?\nAnswer: 117755769.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 24 + 52. Let a(v) = 6*v**2 + 372*v + 15. What is the remainder when i is divided by a(-62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/(-4))\/(6\/32). Let f = -42 + c. What is the remainder when 18 is divided by f\/(-6)*(9 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:12 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145668944770 less than 0.18?\nAnswer: -145668944769.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**3 + 7*x**2 + 9*x**3 - 2 - 5*x**2 - x + 13*x**3 to the form n*x**3 + b*x + s*x**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1096584835*x**2 - 281847004*x.\nAnswer: -2193169670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3925*m**5 + 655*m**2 + m?\nAnswer: 235500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2076 less than -2073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1793019 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 0*t - 6*t + t - 249078*t**3.\nAnswer: -249078*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630061562?\nAnswer: 2, 13, 53, 457229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723748 + 723748 + 16*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -1, 306335?\nAnswer: 306335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.63889 litres?\nAnswer: 26638.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 516*w - 256*w + 756*w + 561*w + 44 - 42 to the form m + o*w and give o.\nAnswer: 1577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39318 is divided by 140?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -262, -260, -258?\n\"Answer: 2*v - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3 + 2748*c**2 - 8168*c - 27360 = 0. What is c?\nAnswer: -2, 5, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1481 divided by -1481\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 2*u, -5 = -5*u - 2*w - 45. What are the prime factors of u\/((-7)\/(-21)*(-12)\/40)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o. Suppose 4*w - 7 - 1 = 0. Suppose -5*q - 4 = 4*k, 2*k + w = 2*q - q. Let i(x) = x + q*x - 2*x. Give m(i(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 142.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7120312 divided by -4?\nAnswer: 1780078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -45, 232, 5.\nAnswer: -45, 1, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.034499 rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -102*q**2 - 12*q - 7. Let z(f) = 203*f**2 + 26*f + 13. Let c(t) = -13*s(t) - 6*z(t). What are the prime factors of c(3)?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37808809471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112172?\nAnswer: 2, 3, 92681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 15. Let t = 13 + -11. What is the second biggest value in s, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**6\/360 - u**4\/6 - 3*u. Let a(c) be the third derivative of f(c). Let z(g) = -g**2. Give z(a(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/432963 and 59\/35887822?\nAnswer: 322990398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*p*u*z**3 + p*u*z + 3*p*z + 2*p - 4*u*z**2 + 24*u + 2*z**5 wrt z?\nAnswer: -174*p*u*z - 8*u + 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972521 is divided by 353.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1699, -3403, -5109, -6817, -8527?\n\"Answer: -a**2 - 1701*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62849505 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 + 3. Let y = x - -0.1. Let c = 0.4 - 0.6. What is the closest to y in c, 3, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250320 is divided by 2611?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 29. Calculate the remainder when 12 is divided by h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w + 7. Let a(r) = -3*r + 3. Let c(n) = 9*a(n) - 4*q(n). Let p(m) = -4*m + 4. Let k(g) = -3*c(g) - p(g). Suppose -5*s + 3*s = -8. Calculate k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 7\/5, -0.5, 16, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60730814?\nAnswer: 2, 29, 131, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 822201.21 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/15)\/(36\/(-378)*-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -5. Let f(x) = -35*x**2 + 25*x - 1. Let s(k) = 16*k**2 - 12*k + 1. Let j(p) = -5*f(p) - 11*s(p). Calculate j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*g + 12, -5*l + g = -9*l + 12. Suppose -l*y + 22 = x - 6*y, x = y + 18. Calculate the lowest common multiple of 34 and x.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-6 - -4) - 19) + -1. What is the second smallest value in -6, 0, d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = 4*v + 2*y, -v + 219 = -120*y + 123*y. What is the smallest common multiple of v and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008685 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3 - 6. What is the remainder when 28 + (k\/(-3) - 4) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 329175.2 meters?\nAnswer: 329.1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-89 - 2) + 2) - (-19 + -5 - -9).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*w + 112. Suppose -5*j = -7*j + w. Let p = j + -15. Solve 0 = p*v - 11 + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 95*j**3 - 198*j**2 + 380*j + 776.\nAnswer: (j - 97)*(j - 2)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.2*0.445.\nAnswer: 13.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 1418*s + 485266. What is m(-577)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y - 864 = -36*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 h when four letters picked without replacement from {r: 2, h: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Let l = 72 + -69. Solve -m + 0*m + l = j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 42 = 3*t - 2*t, 22 = 2*s - 3*t. Let k be ((-3)\/6)\/(-2 - (-14)\/s). Suppose -11 = k*m + 63. Are m and -35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-17)\/(-18))\/(((-51480)\/810)\/(-143)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 24*o - 6 + 24*o + 6.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*q + 140 = q, -3*u = -q + 97. Let v = 3 + 1. Calculate the common denominator of u and 44\/(-42) - v\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from yyv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54.15? (a) 27 (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or 122952?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1892 and (-3)\/6 + (1785\/(-350))\/(132\/(-70)).\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4)*(-80)\/840)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161932, 161931, 161930, 161929?\nAnswer: 161928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2726 (base 10) to base 4.\nAnswer: -222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4565 is divided by 2280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 74*v - 28*v)*(v**2 + 0*v**2 - 13*v**2) in the form x + l*v + h*v**3 + z*v**2 and give h.\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2810, -2812, -2814, -2816, -2818, -2820?\n\"Answer: -2*b - 2808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36030 and 336280.\nAnswer: 1008840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14688 and 2448.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5a8 (base 11) to base 14\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/201921 and -65\/9.\nAnswer: 605763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 768 (c) 3\/7 (d) -3\/2 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77439, -154853, -232257, -309651, -387035, -464409, -541773?\nAnswer: -619127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25043 + 25044.1. What is the third biggest value in 123, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -4, -4\/7, 2\/237, -5?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5220 - 5219.999997938. What is l rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240.41 + 243. Let g = 26.89 + -27. Let k = g - p. What is k rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -9, -26, -49, -78, -113, -154?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (-13 + -21) - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280 != 2611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (134\/(-33) - -4)*15\/(-35). Let d = 144\/385 + g. Let h = 0.7 - 0.2. Which is the nearest to d? (a) -6\/7 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1384232034 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3560, -7144, -10728, -14312?\n\"Answer: -3584*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*z = -390, 3*g - z + 45 - 630 = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 23 = 5*s, 94*n - 95*n = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-18)\/4))\/(8\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 3\/2, 0, -4\/5, 1679, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/784 and -127\/588.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4294 and 1808?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126131126 - -126131119.9999859. Let a = -6 - b. Round a to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x - 16. Is u(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.212785203 and -3.\nAnswer: 0.638355609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205\/13 + 1301\/52. Calculate the common denominator of a and 75\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 13. Let r be t(0). Let n = -7 - r. Suppose 0 = -k - w - 5, n*w - 2*w = -20. Solve k = 4*b - 0*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let s(v) = -5*v. Let j(f) be the second derivative of 5*f**3\/6 + 2*f. Let q(x) = 5*j(x) + 6*s(x). Give d(q(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -10b4?\nAnswer: 10a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.595 (b) 7667 (c) 2\/5 (d) -1 (e) -3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2.39. Let q = g - -0.11. Sort -3, q, -0.7.\nAnswer: -3, -0.7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239305 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 >= 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17440 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*b - 11335 = 0, -c + 4543 = c - 3*b. Let y = -13645\/6 + c. Find the common denominator of y and 3\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 9. Suppose 3*y + 99 = 9. Let o be ((-40)\/15 + 3)\/((-2)\/y). Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/9))**40)**(-2\/35) assuming c is positive.\nAnswer: c**(-32\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 28*i = -31 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2380638\nAnswer: -1\/1190319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.67 - 120.33. Let l = 118.923 - -0.077. Let g = l + u. Is g less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 58*d - 1052. What is a(35)?\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 4 + 11 - 7.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 61*d**4 - 5*d**3 + 27*d**2 - 25*d + 8. Let p(h) = 51*h**4 - 6*h**3 + 27*h**2 - 25*h + 8. Let u(r) = 6*p(r) - 5*t(r). What is g in u(g) = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x + 4, 26 = 2*f - 2*x. Suppose 1615 + 807 = 22*a - 1450. What is the highest common divisor of f and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 19*y + 9*y to i + a*y and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5250*h = -5270*h - 360 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -102136 and -102091 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12367?\nAnswer: 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*l - 29, 4 = 2*l - 4. Calculate the greatest common factor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z**2 + 6. Let b(i) = -i**2 + i - 1. Determine -a(u) - 6*b(u).\nAnswer: -10*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 - 1\/5. Let o = -647 + 648. What is the third smallest value in 24, q, o?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let r be 3*s\/(-1) - 1. What is the first derivative of 4 - d**3 + 1 + d**3 - r*d**3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -30*v**2 - 9*v - 154. Let b(r) = -60*r**2 - 20*r - 359. Determine -6*b(z) + 14*c(z).\nAnswer: -60*z**2 - 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -97, -34 in increasing order.\nAnswer: -97, -34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/14, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 - 2 = 2*c, c - 11 = 3*m. Let o be (20\/(-25))\/((-160)\/100). What is the third smallest value in o, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001387 to 7 decimal places.\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-1))\/(4*-1). Let p = -196 - -204.9. Let m = p - 13.9. What is the nearest to u in 3, 5, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - 73 - (-7 + 2 + (-111 - -9))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -12, -19, -22?\n\"Answer: 2*n**2 - 17*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2756? (a) 2 (b) -3\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19613.\nAnswer: 11, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*w - 13. Let n(v) = -2*v**3 - 1. Let h be n(-2). Solve a + 9 = -4*o, -w*o - 2*a = -0*a + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8370909062.\nAnswer: 2, 89, 137, 343267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117136 or 117132?\nAnswer: 117132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.1 + -0.9. Let u = 63 + k. Let o = u + -35. Is o > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -471 - 223*a**3 + 1396*a**5 + 408 + 223*a**3 + a wrt a.\nAnswer: 27920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4 = 2*y, -48*y = -47*y + x - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5337486, -10674947, -16012408, -21349869, -26687330?\n\"Answer: -5337461*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21264)\/3101*7\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 7. Let q(j) = -j + 6. Let a(z) = -7*q(z) + 6*x(z). Let y be 1\/(3 - (-208)\/(-70)). Let o(n) = y - 35 + 2*n. Calculate o(a(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5035 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-2)*(-4)\/2. Let p = -2 - -2. Solve p = 3*z - h - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -875 + 878 + (-87 - ((3 - 3) + 0))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001022020111101 - 121?\nAnswer: -1001022020111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 10*t**2 - 15*t - 11. Is b(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, w: 2, q: 4, t: 2, k: 2}. What is prob of picking 1 k and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 3 = j, 4*j + 3*u - 18 + 30 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 720165336 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 49 = -4*n - 4, 3*n - 20 = 2*a. What is the highest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 387 - 384. Factor 5*r**b - r**3 - 252*r - 64 + 192 + 120*r**2.\nAnswer: 4*(r - 1)**2*(r + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424446 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20190446 or -20190410?\nAnswer: -20190410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/((x**(-3\/2)\/x)\/x*x)*(x\/(x*x**(-1\/3)))**(1\/4))**(-38))**(2\/21) assuming x is positive.\nAnswer: x**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17144*n = -8560*n - 8556*n - 1960 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phpppphh. Give prob of sequence hhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79 and -10.\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -538, -613, -738, -913, -1138, -1413?\n\"Answer: -25*o**2 - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88007992 to the nearest integer?\nAnswer: 9381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsm when three letters picked without replacement from {s: 1, m: 1, b: 7, y: 5, h: 1}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 48*m**5 + 820*m**4 + 64*m**3 - 68*m**2 = 0.\nAnswer: -17, -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10495 divided by -2\nAnswer: -10495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 630856 and 0.76.\nAnswer: 630856.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, t: 3}. What is prob of picking 3 t and 1 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -8*o + 77. Solve -4*s = o*s + 75 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -104. Find the first derivative of 25*f - 21*f + s + 8 - 82*f wrt f.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllljvl.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)\/b**0*(b**1*b)**27*((b**(2\/5)\/b)\/b*(b**(-1\/2)\/b)\/b)**(-29) assuming b is positive.\nAnswer: b**(2591\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 9*p**2 - 57*p - 285. Calculate v(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 2.2\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 108. Give v(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {i: 3, k: 2, v: 6, q: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30333211 (base 5) to base 8\nAnswer: 740450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-6 - (-2 + 1)) + 6) - 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qnq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0515? (a) 0.5 (b) -2\/9 (c) -0.2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 2*v - 2*v)*(-12*v + 5*v - 9*v)*(1 + 3 - 2) to the form y*v**2 + t + x*v and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:03 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttnnfnntnxgnnnntt. Give prob of picking 2 t and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**5\/2 - 11*i**4\/2 - 7917*i**3 + 159030*i**2 - 858500*i + 504000 = 0.\nAnswer: -80, 2\/3, 10, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6440 - -9862. List the prime factors of z.\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4698802 and 57\/1138.\nAnswer: 4698802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 4*t**4 - t**4 + 3*t**4 - 4*t**4 + 3*t**4 + (134*t**3 - 134*t**3 - 9*t**4)*(0 - 1 + 2) + 2*t**4 - t**4 + 0*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.6. Let w = -0.9 - -1. Sort -2, w, g in ascending order.\nAnswer: -2, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(475) - sqrt(19)) + 4))**2.\nAnswer: -1728*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6*t = 2*t + 24, -3*m = -2*t + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.478 - -18224\nAnswer: 18223.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -9274.1385 and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5445538*o**3*z**4 - 6974094*o**3 wrt z.\nAnswer: -21782152*o**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 58187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -96*s**2. Let t(p) = 3*p**2 - 2*p - 4. Let l(q) = -8*q + 12*q**2 - 14*q**2 + 12*q - 3*q + 2. Let d(i) = -4*l(i) - 2*t(i). Determine d(a(r)).\nAnswer: 18432*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16586325320 from 178.\nAnswer: -16586325142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -2.8. Let b = -0.9 - -0.6. Let d = b - 0.7. Put 4, d, o in descending order.\nAnswer: 4, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(1482\/(-30)))\/(24\/(-2028)*13)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/42, -3824, -2?\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/5, -2\/9, 1\/2, -4, 579?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1220\/(-308))\/(-5) - (-4)\/(-22) and 34\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r\/(r\/(r\/r**(-1))))*r*r*r*r\/(r**(-1\/2)\/r)*(r**(1\/3))**(-18\/5))**(6\/5) assuming r is positive.\nAnswer: r**(159\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57.21 + 62.21. What is the closest to -5 in -0.3, h, -0.1, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.27 (b) -80 (c) -6 (d) 1\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 2. Suppose 0 = -w - l + 3. What is the first derivative of 41*g**2 - 3*g**4 + w - 41*g**2 wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 139642111?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665751 and 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 743236001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14\/12*(156\/21)\/(-13)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.3, 0.2, -2, 316 in decreasing order.\nAnswer: 316, 0.2, 2\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iieeieeeeeeeeieeee. What is prob of picking 2 e and 1 i?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 34*f**3 - 10*f + 14. Let a(x) = -15*x**3 + 6*x - 7. Determine 7*a(m) + 3*g(m).\nAnswer: -3*m**3 + 12*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l - 12. Let u = l + 7. Suppose -8*v + 75 = -u*v. Calculate the remainder when 43 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, 47 in ascending order.\nAnswer: -5, -3, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.1 - 93.6. Let a = k + 65.5. Let o(m) = m**2 + 7*m + 2. Let y be o(-7). Sort y, -2\/9, a in increasing order.\nAnswer: a, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -539*g + 542*g - 6, 0 = -g + 2. Solve n = 3*y - z - 3, -4*y + z = 8 - 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16883000 to the nearest one hundred thousand.\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -30\/7, -1, 2\/11, 138\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 214*-2*(-1)\/4. Suppose -3*v + 4 = -z. Let b = v - 26. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 1. Let w(h) = 18*h + 5. Let k(m) = 5*s(m) + w(m). Let f(i) be the first derivative of -2*i**3 + 3. Calculate k(f(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -6\/11 (c) 0 (d) 1\/6 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 12. Let t be w(8). Suppose 73*a = -43*a + 145*a. Suppose -5*v + 12 = 3*q, -2*v + 4*v = -2*q + 8. Solve v = -a*o + 5*o - t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3036, -12210, -27432, -48642, -75780, -108786?\n\"Answer: 10*x**3 - 3084*x**2 + 8*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*133\/(45885\/(-7820))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 0)*(-2 - 8\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 303777082.\nAnswer: 1518885410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + 11 + (1 - 0) + -2. What is the biggest value in c, 2, 0.5, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231540, 463097, 694652, 926205?\nAnswer: 1157756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306 a factor of 46743531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 1\/20*q**5 + q**3 + 6*q - 7\/12*q**4 + 0 + 5\/2*q**2. Let d be h(6). Solve 0 = k - d*u + 26, -2*u + u = 3*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 0*r - 2*r**2 + 2*r**4 + 6*r**3 + 2*r as x*r**3 + f*r**2 + l*r**4 + q*r + d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434 + -2?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 1)*(413\/42 - 8). Solve r = -4*z - v, -44*r - 5*z - 10 = -42*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*((-29)\/(-58))\/((-2)\/776) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6391, -12921, -19463, -26023, -32607, -39221, -45871, -52563?\n\"Answer: -a**3 - 6523*a + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 3007736\nAnswer: 25\/3007736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(832) + -3 + 4 + 4*5*(sqrt(208) - (sqrt(208) - (sqrt(208) + -5))))**2.\nAnswer: -14256*sqrt(13) + 77193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6193.\nAnswer: 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211182 divided by -4.\nAnswer: -105591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 25*u**2 + u + 6. Let i(z) = -2*z**2 - z. Let r(j) = d(j) + 2*i(j). Is 16 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 7*o**2 - 11*o - 4. Let t be f(4). Suppose w + 0*w = -5. Which is the third biggest value? (a) 5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29800, 59606, 89412, 119218?\nAnswer: 149024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 109847 - 1322 = 0. List the prime factors of l.\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + -151 + 80 + 16?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*q = 58 + 51, -5*p + 134 = -3*q. Suppose -2*v + p = -3. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 12*s + 4. Let j be b(-13). Let n(r) = 2*r + j + 1 + 2*r + 2*r. Is n(12) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -3 - -2 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 73 - 263 = -a, 890 = 5*a + 5*j. Let k = -111 + a. What is the remainder when k is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 537.66817?\nAnswer: 1613.00451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o*o**(-3\/7)*o))*o))\/((o*(o**(-5)*o)\/o*o)\/o)*(o\/(o*o**(1\/12)))**(17\/6))**(-47) assuming o is positive.\nAnswer: o**(-51935\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131624 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12978 (b) 36 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Let i be 0 + 10 - (k + -1). Solve -4*w + i = -4*a, 0 = -3*a + w - 3*w + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1114 (base 8) to base 14\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 3. Let q(u) be the first derivative of -3*u**2\/2 + 2*u + 2. Let n be (-1 - -5)*38\/(-19). Determine n*q(b) - 5*r(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 32*x + 221. Give j(-25).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z**2 - 2*z**2)*(30*z - 11*z - 3*z**2 + z**2).\nAnswer: 2*z**4 - 19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191815821 is divided by 192393.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -2861*k**8\/112 - k**5\/60 + 47*k**4\/12 + 16*k**3\/3 - k**2 + 548*k. What is the third derivative of b(f) wrt f?\nAnswer: -514980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 64. Let w = f - 20. Is (-1 - -42)*(w + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 30*c - 46 = 28*c, -14*q + 82 = -2*c. Suppose -5*z + 6 = -3*z. Sort q, 4, z in descending order.\nAnswer: q, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**2*z**2 + 184*h**2 - 5*h*z**3 + 2*h wrt z.\nAnswer: -12*h**2*z - 15*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = 6*n. Let j = n + -2. Let c(z) = -2*z**2 - z. Let b(r) = 9. Let a(q) = -7. Let x(v) = 4*a(v) + 3*b(v). Determine j*c(u) + 2*x(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 80878 and 2\/815 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, -410, -918, -1628?\n\"Answer: -101*v**2 - 3*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/13, -1\/5, 21541\/6?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -5*x - 46, 5*y + 3693*x - 7 = 3695*x + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5600)*-1)\/(sqrt(648)*-2 - sqrt(256)\/sqrt(2)).\nAnswer: -15*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/19 + (-4630)\/(-2778)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3)*(0*p + 5*p - 2*p)*(0 + 0 - 3*p)*(-1 + 0 + 6) to j + f*p + k*p**2 and give k.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -223113 divided by 28\nAnswer: -223113\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 6*q - 5. Let k(z) = -3*z**2 - 5*z - 4. Let v(h) = 3*k(h) - 2*r(h). Let j be v(-2). Solve 5*i + 4*g - 2 = j, -1 = -0*i - i - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 4*m. Solve 0 = -2*k + m*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16440 and 280330770?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22466858, -22466852, -22466844, -22466834?\n\"Answer: s**2 + 3*s - 22466862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 9*p**2 - 7*p - 5. Let l be n(8). Solve 3*a + c - 13 = -l, 4*c = 4*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144*d**2 + 23*d - 50740.\nAnswer: 288*d + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -6 (b) 0.1 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1223875*v + 766517?\nAnswer: 1223875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 3}. Give prob of sequence bb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-3 - (-3 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -1368?\nAnswer: -7\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 20\/(-4) + -14 + 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170993455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.04511377.\nAnswer: -0.13534131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4 + 16*t**3 + 6*t**2 - 144*t - 216 = 0. What is t?\nAnswer: -6, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -570\/13 and -43 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 9*p**2 + p + 1. Let t be l(-9). Let d(f) = -f**3 - 7*f**2 + 10*f + 20. Let c be d(t). Solve -3*q + 5*q = c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25.0412229 milliseconds?\nAnswer: 0.00000028982896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*u + 20*u - 6*u)*(-5*u**4 + 13*u**4 + u**4 - u).\nAnswer: 414*u**5 - 46*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880453*a**3 + 439159*a**3 + 441289*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 19*a - 3. Let i be 22\/110 + (-172)\/10. Is 6 a factor of g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4)*-4)\/(-8). Which is the closest to w? (a) -4 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*z + 1140, z - 1720 = 4*z + a. Calculate the common denominator of z\/(-48) - (-12)\/54*3 and -65\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l + 553. Calculate z(40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13332 + 24464. What are the prime factors of f?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16744 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: What is -6906.956 rounded to the nearest ten?\nAnswer: -6910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -186 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-4 + (sqrt(8)*-1)\/sqrt(4) + (sqrt(18)*5*-1)**2).\nAnswer: -4*sqrt(2) + 1787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*p**4 + 3465*p**3 - 92040*p**2 + 392080*p.\nAnswer: 5*p*(p + 29)*(7*p - 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 751445 or 241?\nAnswer: 751445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 225427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 1. Let u(s) = -9*s - 4. Determine 6*j(c) + u(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r**2 + 11*r**2 + 2 - 2690*r + 2689*r)*(0 + 2 - 2*r + 0).\nAnswer: 10*r**3 - 8*r**2 - 6*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3 - 64*u**2 + 359*u + 1 wrt u.\nAnswer: 12*u - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 26. Let o be q(7). Put -5, 0, -4, o in descending order.\nAnswer: o, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(700) + 1)**2 + ((-2*sqrt(700) + 0)**2 - sqrt(700)))*-2.\nAnswer: -6992 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 596.2213 days?\nAnswer: 14309.3112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34429 divided by 753?\nAnswer: -34429\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -501*f + 258*f - 1411*f + 220 + 46*f**2 - 16*f**2 = 0.\nAnswer: 2\/15, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = z - 29, 5*v + 33 = -3*z + 120. Suppose -2*j = -2*o - 12, 5*o - 3*j = j - z. Which is the second smallest value? (a) -17\/3 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*j - 11*j + 16*j + 0*j + 0*j - j - 5 - 2*j + 5 + (0 + 0 + 2)*(j - 3*j + 0*j) + 0*j + j + 0*j + j - 5*j + 2*j + 0*j + 12*j + 20*j.\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 62. Let h = -32.2 + y. What is h rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 267? (a) 0.5 (b) -5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 9*i. Let z be f(4). Let b = -6 + z. What is the closest to b in 2\/5, 1, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1524\/3810)\/((-5993)\/5995 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.41939? (a) -0.3 (b) 0.2 (c) -2\/5 (d) -2\/15 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*p**3 - 24*p**2 - 3*p?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d + 34 + 72 + 369 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:57 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124879\/11 or -11352?\nAnswer: -11352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-6) + 3)*2. Suppose 3*p - 5*z = -q, 0*z + 3 = -3*p - 3*z. What are the prime factors of p + -3 + 8 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 13*w**2 + 12*w + 3. Let q be b(12). Suppose 3*m + 23402 = 2*r, r + 7799 = 2*m - q*m. What is m rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -12, -4, 56478 in decreasing order.\nAnswer: 56478, 2\/7, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 38*i + 64 = -4*x, -2*i - 2*x = -40. Solve 0 = -4*v, -2*k = i*v - 21*v + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*d - 4*r, 5*r - 16 = 4. Factor 8\/3*p + 2\/3*p**d + 8\/3.\nAnswer: 2*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -2 in decreasing order.\nAnswer: -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1101566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 34, 76, 132, 202?\n\"Answer: 7*b**2 + 7*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 9*h**2\/2 - 2*h - 41. Let l be g(2). Solve -4*r + 4*n = l, 3*r + 11 = -r - n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {w: 4, h: 4, s: 1, q: 1, i: 3}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = 23*l - 3*z + 35, 0 = 5*l - 11*z + 80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/5 (c) -2277 (d) 5 (e) 2\/5 (f) -0.1 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 187 + y**2 + 499*y - 189 + 234*y - 3*y**2 - 170*y as o + t*y**2 + a*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6620677 (base 8) in base 15?\nAnswer: -251cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/59, 0.3, 140?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 1705*y - 205362. Calculate l(-145).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -654*u + 2621. Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2 + 8))\/(15\/1215*-3)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x - 24. Let o(k) = k**2 + 6*k + 1. Let a be o(x). Let s = 4\/59 + 74\/649. Which is greater: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*h - h. Let c = -13 + h. Let b = 25 - c. Solve -b + 4 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(-16*23\/(-5152)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, i: 2, q: 6}. What is prob of sequence qq?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5016, -5013, -5010, -5007?\n\"Answer: 3*s - 5019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -27.2. Let y = r - 2.2. Let q be -2 - (1 - 3)\/2. Which is the smallest value? (a) q (b) -11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:31 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 - (4 + (2 + 2 - 2)) is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*k + 58*k + 61*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129412800 by -15048.\nAnswer: 8600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 10 = 0. Solve 2*k - 3 = -3*k + 4*n, -2*n = q*k - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1717\/(-303))\/(4\/12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (44 - (-2 + -8 + 0)) + 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and (-98)\/343 - 21096\/(-42)?\nAnswer: 21084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/20)\/((-1)\/(-5)). Suppose 0 = 4*r + j*i - 30, -2*r + i + 3 = -2. Differentiate 5 - r + 4*p + 1 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 1. Let r(b) = -b**2 - 4*b - 4. Let c(z) = -4*l(z) - r(z). Let f(n) = 37*n**2. Calculate f(c(t)).\nAnswer: 37*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.08 - -1.08. Let w = -3.5 - 46.5. Let p = h - w. Which is the second biggest value? (a) p (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2250 and 85356?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239 + 70 + 167*z - 2819*z**3 + 5634*z**3 - 2817*z**3 wrt z.\nAnswer: -6*z**2 + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - 10)\/(-2 - 0). Calculate the greatest common factor of 77 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30639659 is divided by 562?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496094012 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((25\/(-247) - (-14)\/91)*-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, -1.015, -27, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3360775 or 2\/5?\nAnswer: -3360775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 1 = 0. Suppose 0 = x - 5 - m. Let a = x + 5. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36077243, 144308989, 324695233, 577235975, 901931215?\nAnswer: 1298780953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 0 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -116*4\/(-32) + 1\/2. Let f(s) = -s**2 + 17*s - 25. Let l be f(a). Solve 4*r - 3*j = -10, l*j = -4*r - 26 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(25\/(-20))\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -25*k + 18*k + 7*k + 2*k**2. Let g(l) = -18*l. What is g(c(w))?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55\/12 - -49\/12. Let c = 2 + -7. What is the closest to f in 1, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 110 - 204*n + 56)*(1 - 3 - 3).\nAnswer: 1020*n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**13*l*l**(-12)\/l*(l*l**(-3))\/((l*l**(1\/4)*l)\/l))**(-41) assuming l is positive.\nAnswer: l**(4469\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235702229?\nAnswer: 7, 17, 23, 86117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19632863.\nAnswer: 19632863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -425350 and -424723 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from bbbbbblllbb.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(175) + 2.\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 - -120. Let o be ((-4)\/h)\/((-62)\/(-310)). Solve o*b = -2*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vevv when four letters picked without replacement from evevevvvvvvvee?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/671? (a) -0.1 (b) 58\/19 (c) 0 (d) 4 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582 and 570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from mjmmmmmj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -4*z - 1, h - 2*z - 4 = 0. Let a = 7 - h. Let g(l) = -74*l - 3235. Calculate the smallest common multiple of g(-44) and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*j**4 - j**3 - 366*j**2 + 32*j - 6122935 with respect to j.\nAnswer: 120*j**3 - 3*j**2 - 732*j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -3*b**3\/2 - 57*b**2\/2 - 32*b. Does 6 divide h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/13))\/i**(3\/4))\/((i\/(i*i\/(i**6\/i)))\/i*(i\/(((i\/i**(-1)*i)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(-47\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24797573 + 61.70835627. Let m = x - 0.062332. Let c = 62 - m. What is c rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -81. Let n be v\/(-14) - ((-6)\/(-4) + -1). Suppose n*i + 680 = 5*i. Is i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 - 2 = 0. Solve 3*t = -3*k - k + 17, -2*k = -o*t - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -1. Let k = -127.4 + 126.5. Put 0.2, k, q, -2 in increasing order.\nAnswer: q, -2, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466 = -14*i + 2620 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6)*z\/((z**(28\/3)*z*z*z)\/z))\/(z*(z*z**(3\/7)*z)\/z*z**(-38\/7)))**(-39) assuming z is positive.\nAnswer: z**(507\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 6*r - 4*r - 4*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.565616 * -1.\nAnswer: -3.565616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(1 + 10\/(-4)). Let y(b) be the second derivative of -b**4\/12 - 3*b**3\/2 + 3*b**2\/2 - 2*b. Let l be y(x). Solve -7 = -5*s + l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m*m)\/(m*m**(8\/9)))**(3\/5)\/((m\/(m*m\/m**(2\/29)*m))\/m**(-8)*(m**(-1\/3))**(15\/2)) assuming m is positive.\nAnswer: m**(-6179\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27 + 0.88. Round n to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29144, -0.4, 2\/21 in decreasing order.\nAnswer: 29144, 2\/21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + o**2 - 17*o**3 - o**4 + 54*o**3 + 1 - 10*o**3 to the form m*o**2 + q*o**3 + p + n*o**4 + z*o and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80380 is divided by 26157?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18376 - 18375.83154. What is d rounded to three decimal places?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 15*a - 5. Let k be d(7). Let x(v) be the third derivative of 5\/6*v**3 + 1\/6*v**4 + 0 + 0*v - 5*v**k + 1\/60*v**5. What is x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b + 66. Calculate p(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**8)**(-21\/5) assuming s is positive.\nAnswer: s**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -152213647?\nAnswer: -152213647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/((-60)\/(-70)) + 6 + -7 + -4. Solve -4*d - m + 5 = -0*d, 10 = w*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53 + -1.53. Let x = 2 + v. Let z = 0.1 - -3.9. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4264*b + 19063*b + 6576*b to k*b + l and give k.\nAnswer: 21375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*q - 232, 7*h + 200 = 2*q + 3*h. Calculate the smallest common multiple of q\/(-5)*((-440)\/33 - -10) and 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = 82. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 11*k**2 - 2*k - 19. Let t be a(-11). Suppose -5*z + g + 3 = -4, 0 = -t*g + 9. Calculate the lowest common multiple of z and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -13*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 - 12081\/43. Let f = 219\/86 - y. Which is the biggest value? (a) 0.5 (b) f (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, and 1 o when three letters picked without replacement from {o: 1, k: 1, j: 1, g: 2, t: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 4*q - 1. Let o be l(-3). Suppose -z - 8 = -5*z. Solve -z = -j + o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 3*c - 1. Let h be n(-1). Let o be (11 - -117)\/((-1)\/(-12500)) - h. Round o to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -22.1. Suppose 0*z - 3*z - 72 = 0. Let o be (-22)\/z + (-6)\/9. What is the nearest to f in -4, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from jjqqctcccjqjqjqq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1628 and 920634.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 + 5*d + 2. Suppose -3*a = -5*a - 10. Let x be q(a). What is the second derivative of 9*b**2 - x*b**2 + 2*b + b + 0*b wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 11070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i. Let u(y) be the second derivative of -5*y**3\/3 + 2*y. Let o(w) = 16*n(w) + 3*u(w). Let m(c) = -4*c**2. Give m(o(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 + 12*p**2 + 25*p + 40. Determine j(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2398837 to the nearest ten thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 g when three letters picked without replacement from hggggyy.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 14 = -3*z - z, -1 = j + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-8) + 3)*0. Let o = -273 - -276. Put w, o, 4, -4 in decreasing order.\nAnswer: 4, o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -300130223032?\nAnswer: 300130223103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166 - 3?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122001120 (base 3) to base 5.\nAnswer: 344220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9881 - 0.0019. Let c = z + -0.51. Round c to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8) - (-34)\/(-2448)*-18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1603 by 435.\nAnswer: -1603\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 18*m - 13. Let r be z(-18). Put r, -4, -2, 4 in ascending order.\nAnswer: r, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0*t**2 + 0 + t - 1\/15*t**3 - 1\/30*t**4. Determine k so that z(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-33)*2\/3*(-31)\/62.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 8*j + 29*j = 0. Suppose 5*x - 3*t = 27, 9 = x - t + 2. Factor -2\/7*s**x - 8\/7 + j*s + 6\/7*s**2.\nAnswer: -2*(s - 2)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 122?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1187 = 198. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83453 divided by 83453\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 40. Let m = u + -33. Let r = m - -41.982. What is r rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 - 6.1. Let l = -0.1 - 0.2. What is the nearest to -1 in l, m, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52469 is divided by 10252?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45617\/754*20\/88*52\/5?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*h + 34 - 115*h + 26*h wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqo when four letters picked without replacement from qoqoqqoqqqqooq?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 13*a + 20. Let n = 12 - 26. Let u be p(n). What is the highest common factor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 24. Let n be 2\/(-2)*(-1 + 1). Let l be a(n). Calculate the common denominator of 5\/22 and (-14)\/l*(-190)\/(-21).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**6)*g)\/g)\/(g*g**(1\/5)))\/(g**8*g\/g**(-2\/5))*((g**(1\/5))**(4\/3))**(-1\/11) assuming g is positive.\nAnswer: g**(-2743\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g + 3096 = 471. What is the remainder when g is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318074207 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a0 - -1?\nAnswer: -69b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 7*o + 8. Let d(a) = a**3 + 3*a**2 - a + 3. Let m be ((-6)\/6)\/(2\/6). Let b be d(m). Calculate h(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30664, 30746, 30962, 31378, 32060, 33074, 34486, 36362?\n\"Answer: 11*c**3 + c**2 + 2*c + 30650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 7 - (-1 + 5) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/4 in 4, 3, -2\/3, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 478555 and 770.\nAnswer: 957110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2 + 3 - 24*j**3 - 2*j + (2*j + j - 4*j)*(j**2 + 1 - 1).\nAnswer: -25*j**3 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 - -727?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 + 0.06. Let c = -1 - -5. Let r = 2\/97 + -394\/291. Sort h, r, c in ascending order.\nAnswer: r, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 614.15478 minutes?\nAnswer: 0.426496375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 - -12) + 1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 5 - 5 + (-3 + 4 + 0)*(0 + 0 - 1))*(1 - 1 + g**3).\nAnswer: -95*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let f = 474 - 456. Suppose 5*g - 16 = -m*u + 2*g, -2*u + f = 4*g. Solve -2*p = -u - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 917*r - 2744. Let x be s(-3). Let z(i) = 2 - 4*i - i + 3*i. Determine z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d + 220 = -56*d + 130*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 33475*q**2 - 55911435*q + 393022035.\nAnswer: -5*(q - 7)*(q + 3351)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {w: 1, z: 14, q: 1}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6632 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 14\/13, 5\/4, 37\/2, -1\/4 in decreasing order.\nAnswer: 37\/2, 4, 5\/4, 14\/13, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 3*d)*(-11014 + 11014 + 1477*d) + 0*d**2 - 4*d**2 + 3*d**2.\nAnswer: 1476*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.610503km to centimeters.\nAnswer: 761050.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 453311 (base 7) to base 13\nAnswer: 2a7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2. Let c(q) = 11 + 0*q**2 + 24 + 2*q**2 + 0*q**2. Calculate c(x(a)).\nAnswer: 8*a**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 2*o + 1. Let d be 3 - (2 - -4*4). Let v = 14 + d. What is u(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/(62\/(-12) + 5). Let d be (2 + -4)*121\/m. What is the common denominator of 71\/34 and (d\/(-40) + -3)*(-970)\/4?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 2*y + 4. Give w(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*p - 220 + 441 - 221 in the form i*p + a and give i.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -39. Let v = -24 + c. Let n = -46 - v. Are -14 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30*(55\/15 + -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 2*i - 4*i**2 + 10*i**2. Let w(l) = -3*l. Determine w(d(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from heedeedeee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46251?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701967939 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1 = 4*q - 7, 0 = -h - 4*q - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 - 3687.\nAnswer: -3865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3 - 3. Let z = x + -3.3. Let y(f) = f**3 + 13*f**2 - 1. Let t be y(-13). Which is greater: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -443, 0, -2 in decreasing order.\nAnswer: 2, 0, -2, -4, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 50?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 769917 or 769967?\nAnswer: 769917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/5 + 4*a**3\/5 + 4*a**2\/5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 54208*o**2 - 17*o + 10. Is d(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 9 = -39. Let l(y) = 12*y**2 + 56*y + 200. Let r(d) = 14*d**2 + 56*d + 201. Let v(k) = f*l(k) - 4*r(k). Let v(j) = 0. Calculate j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.92 - -75. Let j = w - 1.42. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961693 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*x + 983*x - 911*x - 3400*x.\nAnswer: -4178*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38566376, -77132753, -115699130, -154265507, -192831884?\n\"Answer: -38566377*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.9505 less than -126?\nAnswer: -184.9505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.45?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 892, 889, 886, 883, 880?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47515?\nAnswer: 5, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22454, 44905, 67350, 89783, 112198, 134589, 156950?\nAnswer: 179275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -14.9.\nAnswer: 119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.09, -7, -55?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 - -183. Suppose 3*v + 15 = 0, 8*i + v = 7*i + 9. Calculate the remainder when c is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3) + sqrt(3)*2 + -5.\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21927 + -21930. Let m be 6\/8*(-68)\/(-18). Let n = m - 10\/3. Which is the closest to n? (a) 0 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-22))\/(35 - 8190\/231). Let b = 0.3 - -0.2. What is the nearest to o in -1\/4, -4\/7, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 4. Let o be t(3). Let f(s) = -6*s + 1. Let r be f(1). Put 2, o, r in decreasing order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -30*((-68)\/(-12) + -3). Let f be 2\/(-9) - a\/36. Suppose -3*m - 2*o = -160, f*m - 110 = -5*o + 3*o. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - 11)\/(-2 - (-1 + 1)). Which is the third biggest value? (a) -66 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 - (-38 + -9 - -197)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*k - 139 + 17 - 142. Solve 2*f - k = -18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 30.83?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19444 != 19196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z = 29*z + 36. What is the smallest common multiple of z and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 10*w + 75 = 2*w + 284, -2*w = 4*u - 322 for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/120*10 - (-132)\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282661 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29655547 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/3 - 17\/6. Which is the nearest to j? (a) -4 (b) -4\/11 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 4. Let g be a(-8). What is the common denominator of (-4)\/((408\/g)\/(-3)) and 27\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002485680008 to 6 decimal places.\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 23751907?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 + 198*g - 557. Calculate t(30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -47 + 36 + (-6 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0 - (-33 + (60 - 64) + 21)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9027 plus -0.44?\nAnswer: -9027.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847521 is divided by 282379?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10092*l. Let d(i) = 232*i. What is m(d(f))?\nAnswer: 2341344*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -57091 != -57097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.75 and 14.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-4)\/(-2)) + (-36)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1 + 0*r - r + 3. Let x be g(-8). List the prime factors of 8\/(-10)*(-125)\/x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2301\/3068*(-2)\/(-10)*(-25)\/10.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 886 or 56429?\nAnswer: 56429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1086768752 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22.3105 and 38.\nAnswer: 60.3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 510.5567 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 74*y**2 + 77984*y - 12793. What is s(-1054)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z - 39*z - 837 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132943885.\nAnswer: 5, 26588777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -629 divided by 37?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 14*v + 3. Let i be w(6). Let o = i + -18. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from 0.0404.\nAnswer: 17.0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -335, 5, 5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 2.3, 27 in decreasing order.\nAnswer: 58, 27, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 1 - 111*u - u**3 + 56*u + 53*u to the form p*u**2 + c*u + s + a*u**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 442285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 27. Suppose -u*j = -4*y + 19, -6*j - 7 = -2*y - 5*j. Which is smaller: y or 9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 75\/4 of a day?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1756, -2899, -4044, -5191, -6340, -7491?\nAnswer: -8644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.426809 to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/192*(-232)\/1015?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + 11*s**2 + s - 1. Let v(m) = 5*m**3 + 16*m**2 + 3*m - 2. Calculate -8*a(u) + 5*v(u).\nAnswer: u**3 - 8*u**2 + 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 1 = -4*z + 3*x, z + 1 = x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of (-3)\/5 - 3845777\/(-145)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 33 = 0, -y = -50*j + 48*j - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 698\/7329*(-4095)\/36.\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -76\/15 (b) -35 (c) 0.12 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1211000 (base 3) to base 5\nAnswer: -20243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.008 and -1.19.\nAnswer: 0.00952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612256.8 hours to minutes.\nAnswer: 36735408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.1 + -22. Which is the nearest to o? (a) -1 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:59 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Suppose -x*i + 5*o + 32 = 0, 0 = -o + 2 - 0. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -445 - -450. Solve 0 = k*w - 3*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 344 - 344.111. Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b = -101*b - 5. Solve 0 = -3*j + 2*j + 2*w - 6, 0 = -b*j + 2*w + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 - 4*p**3 - p**3 - 60 + 60 + 24*p**3 - 6*p**3 + 0*p**3 + 2*p**3 + (p + p - p)*(-2*p**2 + 4*p**2 - 4*p**2) as b*p**2 + r*p + f + t*p**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6581, 13164, 19747?\n\"Answer: 6583*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 7*t - 5. What is the units digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*l - 41280 = 87*l. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**3 + 14*g**2 - 3996*g - 14*g**2 + 3996*g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1314220 (base 10) to base 3\nAnswer: 2110202202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32074 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 99*v - 104. What is w(61)?\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**4 + 1 - 28*j**2 + 1 - 2 wrt j?\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239.8286 to one decimal place.\nAnswer: 239.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3372\/(9\/3))\/2. Suppose -62 + q = -5*s. Let d = s + 158. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000985084866 rounded to 6 decimal places?\nAnswer: -0.000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 400*y**2 + 125*y. Let g(z) = 2280*z**2 + 4*z + 6*z - 4*z - 2261*z**2. Let s(r) = 125*g(r) - 6*k(r). Let f(n) = 5*n**2. Give f(s(t)).\nAnswer: 3125*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2682 - 2683.293. Let g = -0.2 - 1.1. Let m = g - t. Round m to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2021592731 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*x + 20, g - 2 - 3 = -x. Let j be 2\/((-2)\/g)*1. Let l be j + 8 + 18\/(-5). Sort -0.3, -1, l in descending order.\nAnswer: -0.3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49061981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2481671854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -102, -133, -2, -1, 2 in descending order.\nAnswer: 2, 1, -1, -2, -102, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, 12, -4, 1 in increasing order.\nAnswer: -4, 1, 12, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4\/11 - 262*x**3\/11 + 2960*x**2\/11 + 13306*x\/11 + 5880\/11 = 0 for x.\nAnswer: -3, -1\/2, 20, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 + 64*j**3 + 360*j**2 + 800*j + 500 = 0 for j.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 5*i - 2*i**4 - 4*i**4 + 5*i**4 to the form t*i**4 + c*i**3 + d + k*i + y*i**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 11*u**2 - 40*u - 323. Give m(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842261?\nAnswer: 3, 61, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (15 + -4 - 26 - 27)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 64 = 4*y - 40, 5*y = -30. Let u(h) be the second derivative of -1\/2*h**2 + x*h**3 + 0 + 1\/6*h**4 + 1\/20*h**5 - 5*h. Give u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-27)*-2374 + 4\/18. Suppose u = 4*u - o. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 5. Let y be v(9). Let t = 149 + y. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 3*n + 36 = 39*o, 52 = 2*o - n. Solve l - 3*d - o = 6*l, -4*d - 9 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 5. Let k = 77 + -51. Let c = k - h. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxm when three letters picked without replacement from {w: 1, q: 1, c: 2, f: 1, x: 1, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 212455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j. Suppose j = -5*y + 10*y - 360. Suppose 5*m - y = -3*q, 0 = -0*q + 2*q - 8. Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7))\/((w\/w**(-1\/4))\/w)*(w\/(w*w*w\/(w\/w**11)*w))**0 assuming w is positive.\nAnswer: w**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542016072.\nAnswer: 2, 3, 13, 227, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**3 + 124770*o**2 + 488815 with respect to o.\nAnswer: 9*o**2 + 249540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11413 - 11412.99993387. What is j rounded to 6 dps?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 - 38\/(-14). Suppose -6*l + 5*l + 17 = 3*h, 2*h - 13 = -l. Let v be 125\/(-30) - (-3 - 17)\/l. Which is the closest to 0.1? (a) y (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/4)\/((-135)\/40). What is the smallest value in -1\/3, 4, z, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(304) - sqrt(304) - sqrt(304)*-2*-3)*6)**2.\nAnswer: 1324224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2731 - b8b?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*c + 6 = -3*l, 2 = 2*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 57*q**4\/2 - 9*q + 123. What is the derivative of x(l) wrt l?\nAnswer: 342*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 446 and 166358.\nAnswer: 166358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4265 is divided by 4245?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30523099433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -43, -66, -93?\n\"Answer: -2*o**2 - 13*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 1.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (-22 - (-61 + 30))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4249 + 5713. List the prime factors of n.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 47*r + 230645 = 0. Suppose -9*f + r = -12200. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)*s*s\/(s*s**(-5\/6))*s)**(1\/41) assuming s is positive.\nAnswer: s**(-25\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 1 - n**3 + 1 - 5*n**3 + 1. Let l be z(-1). Suppose 3*o = i + 60 + 183, 403 = l*o - i. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -923940 divided by -3186?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594353 to the power of 1\/2, to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2696 + -2679. Solve -6*t - p = -23*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -18\/1821535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14485, -1, -2550, -2 in decreasing order.\nAnswer: 14485, -1, -2, -2550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*k - 143 + 63*k + 92*k)*(2*k**3 - 5*k + 5*k - 4).\nAnswer: -4*k**4 - 286*k**3 + 8*k + 572","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2))**(4\/23))**(16\/9))**(9\/8))**(1\/63) assuming x is positive.\nAnswer: x**(-16\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15894, -31457, -47020, -62583, -78146?\n\"Answer: -15563*t - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -11313?\nAnswer: 11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 2, 199, 11, 4.\nAnswer: 2, 3, 4, 10, 11, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -42, -156, -378, -744?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7500 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6.1883*-0.13\nAnswer: 0.804479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1762155 and 152514?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwgddcwgcdgwngg. Give prob of picking 2 w and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 5*f + 7. Let z(m) = m**2 - 7*m + 5. Let w be z(5). Let b be j(w). Solve 2*c = b*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -66.999497. What is k rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -4\/9 (c) 2\/3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4865?\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3435 + 3.\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.31783 hours in microseconds?\nAnswer: 231544188000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5 in ascending order.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2230*y**2 + 4*y - 4. Let k(n) = 98117*n**2 - 177*n + 177. Let z(s) = 4*k(s) + 177*o(s). Let r(h) = h**2. Calculate z(r(f)).\nAnswer: -2242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -2*m - 4*y, 0 = -3*y - 9. Sort 0.5, m, 2 in ascending order.\nAnswer: m, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061707604 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 2*l + 20, 0 = -5*v - 4*l + 26. What is the least common multiple of -4*-54*1\/8 and v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.29 (b) 4 (c) 0.5 (d) 57 (e) 6 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f**2 + 2*f + 1. Let x be i(-1). Let a = 84 - 69. Suppose 9*g - 6*g - a = 0. Put g, x, 2 in decreasing order.\nAnswer: x, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 0*j + 6*j + (6 + 2 + 15)*(2 - j - 2) + 3 - 3 - 6*j + (2 - 2 - 4)*(-1 - 2*j + 1).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from hmmmmqsl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3715*p - 18 = 3721*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34405, 137618, 309639, 550468, 860105, 1238550, 1685803?\nAnswer: 2201864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7876.77575 rounded to the nearest one hundred?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 + d**4 - 4*d**4 + (3*d**2 - 4*d**2 + 2*d**2)*(-4*d + 4*d + d**2) - 11*d**4 + 5*d**4 - 5*d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -537, -494, -451?\n\"Answer: 43*w - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arurrraurrrrr. Give prob of sequence ar.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and 59\/1458618.\nAnswer: 1458618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1102221213?\nAnswer: 1102221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -60. Let w be (s\/(-5))\/(-3*(-2)\/15). Solve w*q - r = -10, -5*r + 3*r + 14 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -11. Let d be 2\/3 - 16\/o. Suppose -2 = m, 33 = 5*a + 3*m - d. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, b: 6}. Give prob of picking 1 b and 3 x.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-117)*-13 - (-3)\/9. Let n(q) be the second derivative of -2*q + 0 - r*q**3 + 15\/2*q**2. Differentiate n(p) with respect to p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*x - 104 = -419*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152*(-1232)\/6384*(1\/6)\/((-4)\/(-18))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31728948 divided by -564?\nAnswer: 56257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 6:31 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(275)*-6.\nAnswer: 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004 - 3.096. Let z = j + 3. Let r = -82 + 248\/3. Which is the closest to r? (a) 0.5 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - k = 133, -67 = -2*s - 4*k + 71. Suppose -y = -4*d - 4*y + s, -60 = -5*d + y. Calculate the lowest common multiple of 2 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 24 + (-2 - 1 + 1)*(-2 + 5 - 2))*(0*x**3 - 2*x**5 + 0*x**3).\nAnswer: 42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a, a - 982 = -2*j - 3*a. Let o = j + -260. Suppose 3*k + 36 = -2*i + o, -2*k + 131 = -i. Calculate the remainder when k is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from nxxnnzanb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91967899 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2\/7))\/(j**6*j))**(2\/91) assuming j is positive.\nAnswer: j**(-66\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -558101633?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-16)\/(-156)*-1*15\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96475?\nAnswer: 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 1084884372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 120 in -3, -1008, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -493.69826 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -233*m + 1. Let g(u) = 15*u**2 + 149*u - 2. Determine g(t(i)).\nAnswer: 814335*i**2 - 41707*i + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174 times -3?\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 916 - 915. Sort o, -4, 9, -3 in descending order.\nAnswer: 9, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 2*t**4 + 2*t**4)*(-3*t + 3*t + t) + (-t**4 + 2*t**4 - 2*t**4)*(-t - 1 + 2 - 3).\nAnswer: 3*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593900*m + 26 - 58 + 32 + 593903*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.76737 plus -3?\nAnswer: -18.76737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*f + 22, f - 16 = -3*f. What is the closest to 2 in -3, l, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106177205.\nAnswer: 5, 809, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5424 + 5423.99992391. What is f rounded to 6 dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -3 (c) 395586308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 597244750*r**3*x**5 + 1182*r**3*x - 166*r**2*x**2 - r*x - 23*x wrt x.\nAnswer: 35834685000*r**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 340 times 3.19\nAnswer: 1084.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 3. Let r be b(-3). Suppose 4*a + r*v + 22 = -5*v, -2*v = 2*a + 10. What is the units digit of 6\/27*a*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 2853313494.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*z - 89*z - 83*z - 48 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21941 is divided by 1567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75001 is divided by 99.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*z**3)*(2*z**2 - 3 - 17*z + 17*z) + z**4 + z**5 - z**4.\nAnswer: 5*z**5 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -16. Let t = y - -17. Solve r + t*r - 7 = -4*z, 3*r + 2*z - 11 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:19 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 2 - 6 + 2*l**3 + 9 + 1 as w*l**3 + c*l**2 + i*l + z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -1)\/(5\/415) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*1*5)\/sqrt(8))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07002 and -1.2.\nAnswer: 0.084024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 29. Suppose -9*p - 20 = -11*p + 4*f, 4*p + 5*f + 25 = 0. Sort n, -4, p.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 362550 to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-36))\/((-91)\/(-41937)). Let u = p - -33\/52. Calculate the common denominator of 25\/3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 231626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-26))\/(12\/(-16)). Let s = 138 - 140. Let r(y) = -y + 7. Let f be r(6). Which is the closest to f? (a) v (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:42 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 16*c - 164. Let a be v(-23). Let d = -44 - -24. Let m = d + 19.8. Is m bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.551 - 164.929. Let o = a + 177. What is o rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74097585 and 0.05.\nAnswer: -3704879.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.07781 millilitres in litres?\nAnswer: 0.05207781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/((-11)\/1870). Solve 0 = 11*b + 513 - j for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - (4 + -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - -2*(3 + sqrt(288)) - (3*(-3 + sqrt(288)))**2)*3 + 2.\nAnswer: -7999 + 2052*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3159084 to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*x**3 + 17 - 8 - 2 - 6 + 79*x**3 to the form z*x**3 + l*x**2 + m*x + n and give z.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -0.15. Which is the third biggest value? (a) r (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 times -0.14?\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-1) - 1) + (-5 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 4*j + 0*j**2 + 0 - 1\/6*j**4 + 2\/3*j**3. What is the second derivative of d(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + r + 1. Let q(k) = -k**2 + 4*k - 1. Let t be q(4). Let m be l(t). Let n(o) = -m*o + 2*o + o. Let a(y) = 2*y**2. What is a(n(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58544600 a multiple of 2056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - -27. Let l = -62 + r. Suppose 2*p + l - 103 = 0. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 320*c + 62. Let i be h(12). Suppose -14*w + 6458 = -i. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 19828*n**3 + 50292664*n**2 - 5661735344*n.\nAnswer: 2*n*(n - 4898)**2*(n - 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13411595333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.608 - 1.708. Which is the smallest value? (a) 5 (b) 0.5 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b + 3378 - 34 = -1125 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3724*t**3 - 11177*t**3 + 3726*t**3 + 3735*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74062333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 - 47*m**2 - 189)*(16*m - 3*m + 6*m) + 2*m**3 - 2*m**2 + 2*m**2.\nAnswer: -891*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j**5 + 12*j**4 - 501*j**3\/2 + 627*j**2\/2 - 111*j + 12 = 0.\nAnswer: -4, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2218645, -4437298, -6655951, -8874604, -11093257?\nAnswer: -13311910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhtut. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -1461, -3275, -5813?\nAnswer: -9075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4957 <= -4957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6347, -6327, -6307, -6287, -6267, -6247?\nAnswer: -6227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 1)*(c - 2*c - c + (3 - 3 - 2*c)*(0 - 1 - 1) + c + c - 3*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-174)\/20)\/(24\/10).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - a - 5*a + 10 + 3*a**2. What is the remainder when (16\/(-40))\/(13\/(-2015)) - -5 is divided by y(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(3\/23)))\/f**(-1\/2) assuming f is positive.\nAnswer: f**(29\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i = -118*i - 12*a + 48, i + 0*i + 0*i + 128 = -a + 34*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11670518 and 362.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 1088 in descending order.\nAnswer: 1088, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 12*w**2 - 20*w. What is d(11)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-9))\/(3\/9). Let h be -1 - 6\/(-2) - 3. Let p = h + 1. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 69*c**2 + 523*c - 31. Calculate x(-9).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -906, -1334, -1744, -2130?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((7 - 1)*8)\/(-1). Suppose -518 = -12*l + 454. Let d = w + l. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -53*r + 318. Let u be i(6). Let x(z) = -2*z + 5*z**2 + 6 - 3*z**2 - 3*z**2. List the prime factors of x(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -162*i**2 - 71*i - 144. Give g(-2).\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255154 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 3, j: 8, r: 6, m: 1}. Give prob of sequence mj.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135478409.\nAnswer: 3, 13, 229, 127139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -16. Let w = 10 - f. Solve 2*t = t + w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1150 and 57\/2300?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 761521.\nAnswer: 761521.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -150179*p - 1. Let r(h) = -4*h. Give i(r(j)).\nAnswer: 600716*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 127971, 127872, 127775, 127680, 127587?\n\"Answer: f**2 - 102*f + 128072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.31 - 5.31. Let c(f) = f**2 - 5*f + 2. Let v be c(6). What is the third biggest value in v, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -334310766?\nAnswer: 334310764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*h + 2502 = 51*h + r, 5*r - 45 = -4*h - 0*r for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 - 10*o**2 + 2*o**2)*((-4 + 4 - o)*(0 + 6 - 4) + 3*o + 14 - 14) as h + n*o**2 + u*o**3 + q*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*y. Let w = -256 - -270. Suppose 5*f + 5*m - 10 = 0, f + m = 2*f. Put w, f, y in ascending order.\nAnswer: f, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, x: 7, v: 1, y: 2}. What is prob of picking 1 x and 3 h?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 14*y + 11 = -z, -14 = -z - 2*y. Sort -11, -3, z, -5 in increasing order.\nAnswer: -11, -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 115\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130.8 + 135.8. Sort 3, 19, n in descending order.\nAnswer: 19, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**3 - 2*s**4 + 2*s**2 - 21 - 8*s**4 + 12*s**4 - 4 wrt s?\nAnswer: 48*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/7)\/(5\/(5\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 - -2 - ((0 - 1) + 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a - -2b515?\nAnswer: 2b499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021589 to seven decimal places.\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k**2 - 5*k - 10. Let c(g) = -4*g**2 + g + 2. Let r(v) = b(v) + 5*c(v). Let y(n) = -1404*n. Determine y(r(d)).\nAnswer: 1404*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 + 6. Which is the third smallest value? (a) r (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*f)*(f**2 - 2*f**2 + 5*f**2) - 3 + f**3 + 3 + (-2 + 1 + 2)*(3*f**3 - 5*f**3 - f**3) + f**3 - f**3 - f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*v + 22 = 4, 4*v + 16 = 0. Sort g, -8, 4, 5 in decreasing order.\nAnswer: 5, 4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((9\/(-6))\/(3\/4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**3\/3 - s**2 + 3*s - 1. Calculate r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1720? (a) 27 (b) -2\/11 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -206, -201, -198, -197?\n\"Answer: -s**2 + 8*s - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 7*i + 16. Let r be c(-2). Suppose 0 = r*f + 5*f - 1444. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p - 16. Let g be a(-9). What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 + 5*y**3\/6 - 3*y**2 - 3*y. Suppose -x - 4*x - 20 = k, 5*k - 50 = 5*x. What is s(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 3) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21 - -14)*6\/(-14). Suppose 3*r + r - 24 = -4*y, -a*r - 22 = -5*y. Solve 0*o = -y*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8718 - 0?\nAnswer: 8718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 14) in base 9?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 12 = 0. Solve -2*t - v*a - a = -7, -4*t - a = 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3876\/380*100\/(-30)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 221252916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107672*r - 12151 + 12151.\nAnswer: 107672*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1739, -3433, -5127, -6821, -8515, -10209?\nAnswer: -11903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*v - 3767 = 0, 2*t = -0*v + 4*v + 1486. List the prime factors of t.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*(((-75)\/(-42))\/(-5))\/(510\/(-357))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + 3*l + 3, -2*q = l + 7. What is the second smallest value in -3\/2, 5, q?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(((-6)\/3)\/4). Let b = -3 - -2.9. What is the second biggest value in r, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 79992?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 10. Determine w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeveveeeeeeeevee. Give prob of picking 1 v and 3 e.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 6, a: 1, r: 3, v: 5, t: 1}. What is prob of sequence vrvv?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + 62?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3039.654km to micrometers.\nAnswer: 3039654000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -5, 21 in descending order.\nAnswer: 38, 21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 63153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -0.4, -18, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1490 + 9?\nAnswer: -1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*2*4\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 43.79. Let j = 0.22 + s. Let a = 678\/5 + -136. Is a at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -354, -429, -504, -579?\n\"Answer: -75*u - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 13*o**2 + 8*o - 16. What is u(12)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f*g**3 + 40*f*g**2 - 278*f + g**5 - 9*g**3 - 93*g wrt g.\nAnswer: 66*f*g + 80*f + 20*g**3 - 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 116\/870 + (-58)\/(-15). Suppose -5*b - 4*n = -20, -3*b - 8 + 28 = y*n. Solve 0 = -3*w - 2*p - 17, -5*w + w - p - 16 = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68966257 divided by -19?\nAnswer: 3629803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -271*g + 994. What is c(3)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is prob of picking 3 c when three letters picked without replacement from rrcrrwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 + 51728*l**3 - 167133136*l**2 - 669153408*l - 669360384 = 0. Calculate l.\nAnswer: -2, 6468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-52)\/6)\/(-13))\/(20\/24 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63159 rounded to 2 dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {m: 2, o: 1, x: 1, c: 1, d: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*i + 3*o, o - 5*o = -i + 42. Let f = 1 - -3. Let r = i - f. What is the smallest common multiple of 4 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -10*m**3\/9 - 8*m**2\/3 + 8*m\/3 + 5. Suppose u(t) = 0. What is t?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 12 = -4*p, z = -p + 4686 - 4687 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(1 + 6*g - 1) + (-5*g - 4*g - 2*g)*(-4 - 3 + 2).\nAnswer: 61*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 - 100?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 3016.\nAnswer: 12064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x + 2*x = -93. Suppose -1 + 4 = -s, 264 = x*y - 4*s. Calculate the lowest common multiple of y and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3188.047 millennia?\nAnswer: 3188047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -y - c - 1, 5*y - c - 27 = 0. What is the second derivative of 3*v**5 - v - y*v**5 + 3*v**5 wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164845 by 32969.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g - 14. Suppose -51*y - 126 = -52*y. Let m = 116 - y. Let t be s(m). Calculate the highest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19815 + 19899. What is the remainder when 101 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 99*v + 605 = -34*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*u - 8 + 49, -2*u + 17*o = -110 - 45 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225.596 - 211.4953. Let v = q - 14.1. Round v to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 21 = 4*a. Let j(t) be the first derivative of t**4\/4 - 3*t**3 + t + 5. Let p be j(9). What is the greatest common divisor of p and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -1\/2 (c) 3\/7 (d) 5 (e) -190\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -57. What are the prime factors of (224\/40)\/(z\/15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 7*m - 3. Let s be c(-8). Suppose 0 = -6*y + y + s. Let r = 0 + 0. Solve z - 5*g - 29 = r, z + y = -g - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsibidivddoov. What is prob of picking 1 s and 1 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11315 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6614007668 to the power of 1\/4, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:57 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 18 = 2*t, 5*t = -195*r + 217*r + 181 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/503 and 13\/5.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 17 + 15. Let m(o) = o - 8. Let q be m(6). Let b = q + i. Solve 2*n + 0*n = b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11044 (base 7) in base 4?\nAnswer: 223120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 7) to base 8.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) - (-3 + 1 + sqrt(17)) - sqrt(17) - sqrt(17))**2.\nAnswer: -144 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 - -1)\/((-12)\/(-8)). Suppose -1 - 1 = 2*l - v, 3*l + 5*v = o. Sort l, 4, 3 in decreasing order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1 + 8 - l + 4*l. Let r be 37\/8 + (-9 - 975\/(-104)). Suppose -4*s - 2*p - 2*p = 40, 0 = s - r*p - 20. Calculate n(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (450\/150)\/((-2)\/2*(0 + -1)). Solve 4*b - 5*m = -n, -m = 2*b - 6*m - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 9 + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from xtl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*p**2\/5 - 6801272*p\/5 + 438792\/5.\nAnswer: -2*(p + 109698)*(31*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5602*y - 1264*y + 36995 + 114057 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b - 54 = -t, -8 = 2*b. Let o = t - 110. Let a = -32 - o. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 11\/6*i**6 + 0*i + 0*i**4 + 34 + 37\/2*i**2 + 0*i**3 + 0*i**5. What is the second derivative of k(j) wrt j?\nAnswer: 220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**19\/y)**(2\/65)*y**1\/((y\/(y\/((y**10\/y)\/y)))\/y*y) assuming y is positive.\nAnswer: y**(-417\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28078116293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*c + 28. Suppose -4*m + 2*i + 12 = -2*m, c*m = -3*i - 4. Let g(o) = -o - 2. Let n be g(-7). Solve -3*d = m*r + 16, -d = -3*r + 3 - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209339 is divided by 1759?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htfr when four letters picked without replacement from {p: 2, t: 1, l: 2, f: 1, h: 1, r: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) + (-2204)\/(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8173469 is divided by 4086734.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - 2?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -131, -4, -2 in increasing order.\nAnswer: -131, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.021+-12187684\nAnswer: -12187684.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15857?\nAnswer: 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*a**2*i - 3*a**2 - 388898*a*i + a + 167796049*i wrt a?\nAnswer: -22*a*i - 6*a - 388898*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1223 + 2252 - 1289)*(8 + 6 - 8)*(4 - 2 + 0)*(2 - 3 + 0)*(-u**2 - 4*u**2 + 4*u**2).\nAnswer: -3120*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326576 + -63?\nAnswer: 326513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/30 + c**4\/18 + 5*c**3\/9 + c**2 - 5*c. Suppose f(s) = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 32)*8\/(-148)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947 + (11 - -37)\/(-6).\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g - 6*g**4 + 10*g**4 - 2*g**2 - 9*g - 3*g**3 to the form c*g**3 + u*g**4 + b*g**2 + p*g + m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaiayayy. Give prob of sequence yyyi.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 266 = -3*t, 0*t + y - 359 = 4*t. Is (-944)\/(-10) - 6*(-6)\/t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378*s**5 - 157*s**5 - 40*s**2 - 6 + 1 + 14*s**4 - 14*s**4 wrt s?\nAnswer: 13260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/9 - 714572*t**2\/9 + 5716480*t\/9 - 11432896\/9 = 0.\nAnswer: 4, 357278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*d**4 - 25*d**4 - 59 + d - 17*d**4 - 2*d**2 - 9*d**4 to c*d + p + y*d**4 + v*d**2 + n*d**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -12 + (-2 - 4) - (-7 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Let s(v) = -v - 5. Let b be s(-6). Let y(p) = -2 + b + p - 3*p. Give y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvwt when four letters picked without replacement from tttywttyvwtu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/7)\/(5944\/28 + -16). Suppose 2*k = 6 - 4. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Suppose -12 = -3*n, -2*k = -i*k + 5*n + 271. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + -0.01. Which is the closest to 2\/5? (a) 2\/7 (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 62536 = -2*s, 79*p - 76*p - 125020 = -4*s. List the prime factors of s.\nAnswer: 2, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.88 * 40.\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 - -257. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226184546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmlmjjj. Give prob of picking 1 l and 1 j.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/3, -0.3, 78502, -2\/9.\nAnswer: -4, -0.3, -2\/9, 4\/3, 78502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -232112031 (base 4) to base 9\nAnswer: -318360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/9)\/(b*b\/(b*(b\/(b*b\/b**(3\/4)))\/b*b)*b)*(b**2*b*b)\/b**(2\/11)*(b**(4\/7)*b*b*b\/b**(5\/6)*b*b)**(8\/17) assuming b is positive.\nAnswer: b**(173735\/47124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - -5*sqrt(17)) + 0)**2 - (sqrt(1088) - -1*sqrt(1088)))*2.\nAnswer: -32*sqrt(17) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*z = -20, -3*k = -5*k - 5*z + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/41648 or 1?\nAnswer: -13\/41648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/23)\/u)\/((u*u**(-14)\/u*u)\/u*u) assuming u is positive.\nAnswer: u**(297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.296 and 0.013383.\nAnswer: 0.003961368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, b: 2, m: 6, x: 8}. Give prob of sequence smms.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18 and -41\/774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4 - 6 = -13, -4*d - z + 61 = 0 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3))**(-2\/13))**(-1\/42)\/((b\/b**(-2\/13)*b**(-3)\/b)\/(b*b*b**(-5\/6)*(b\/(b*b\/(b*b**6)))\/b)) assuming b is positive.\nAnswer: b**(4915\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 + -3.085. Let p = -0.18 + c. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 43*o**2 + 130*o + 1785. Let v be w(-41). Let m = -708 + 418. Let t = v - m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 - 2. Let w be g(7). Let u be 6\/(-2) - w\/1. Let o = 10 - u. Calculate the remainder when 43 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g - 1. Let v be c(-4). Calculate the greatest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -15\/4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 159. What is the remainder when 104 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226943582.\nAnswer: 2, 211, 537781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*s - 29295 + 7533, -2*s = -5*o + 27234. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*v**6 - 77*v**3 - 53*v**2 + 0*v**6 + 38*v**3 + 38*v**3 wrt v.\nAnswer: -3840*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/20)\/((-1)\/2). Suppose -5*g = v*p - 70, -3*g + 22 = p - 0*p. Calculate the remainder when 47 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = -3*s + 20, -c = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8)*((-59 - -24) + 15). Sort s, -46, 8 in decreasing order.\nAnswer: 8, s, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000748428412 to six decimal places.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**9\/756 + k**6\/180 + k**3\/6 - k. Let z(f) be the second derivative of y(f). Find the third derivative of z(t) wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 - 577074462*j + 27751244557715787 = 0 for j.\nAnswer: 96179077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let d = 2 - r. Factor 4*l - d - l**4 + l**5 + 2*l**2 - 4*l**3 - 3*l + 2*l**3.\nAnswer: (l - 1)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10190432*q**3 - 20556298*q?\nAnswer: 61142592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -3)*3.\nAnswer: -9 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d + d)*((0 + 0 - 2*d)*(1 + 2 - 1) + 446 - 446 + 26*d).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9122*g - 814 = -9133*g. Solve g*l + j - 4 = 75*l, 3*l = 2*j - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/8 - (3 - 1 - (-23373)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 236084 = 2*j, 1 = 2*d - 7. Let w = 123592 + j. Let i = 1961638 - w. Round i to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -0*s + 2*s - 3*o, -4*o = -2*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 302 + -302. Let z = -0.4 + -8.6. Let x = 7 + z. Which is the nearest to k? (a) x (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 16*m - 99*m - 91*m to f*m + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*o + 6844 + 39310, 0 = 5*o - 2*a - 115366. Is o a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -74, -85, -82, -65, -34?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 59457221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 (base 12) in base 7?\nAnswer: -1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9343 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357 - -358. Solve -4*u + 7 = p + u, 3*p + a = -4*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:02 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b**5\/13 + 129936*b**4\/13 - 19318626*b**3\/13 + 28758728*b**2\/13 - 10765242*b\/13 + 1195236\/13 = 0 for b.\nAnswer: 1\/4, 1, 153, 3906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 15 = 5*z + 7, y = -4*z - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*-1*(-28)\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4. Let a(n) = n + 2. Let v(i) = -i - 2. What is k*a(p) - 3*v(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 617554.9ng?\nAnswer: 617.5549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/25)\/((-5)\/(-50)). Let l = 48.41 - 53.3. Let n = -0.11 + l. Put 0.4, n, h in increasing order.\nAnswer: n, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1603*f + 7. Let s(r) = 534*r - 2. Give -4*q(c) - 14*s(c).\nAnswer: -1064*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o + 92*o = -450 - 711 - 744 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736, -1649, -2680, -3835, -5120, -6541, -8104?\nAnswer: -9815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 5*b**2 - b - 3. Let d be y(-5). Suppose 2*r + 4*k - 14 = 0, 5*r + k = -0 - 1. Let o = d + r. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 5\/(-2))\/((-3)\/(-6)). What is the nearest to b in 0.12, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**(-26\/3)\/(j**(2\/3))**(-2\/5) assuming j is positive.\nAnswer: j**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*i - 25 = n, 4*n = -5*i + 25. Suppose n = -7*k + 11*k - 72. Solve -2*z - d = z + 14, -3*z = -3*d + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, r: 6}. Give prob of sequence vrrr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 373, 672, 1129, 1822, 2829, 4228, 6097, 8514?\n\"Answer: 13*m**3 + m**2 + 205*m + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3704990 and 8150?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -608, -607, -606, -605, -604?\n\"Answer: k - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let x(o) = -11*o**2 + 41*o - 9. Give x(p(y)).\nAnswer: -44*y**4 + 82*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 - (-12 + 11). Let g = 10 - n. Let k(t) = t**3 - 10*t**2 + 14*t - 6. What is the tens digit of k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319217384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567845279 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + n - 8466 + 4274 + n**2 + 4262.\nAnswer: -3*n**2 + n + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b - 89. Let z be p(-13). Let u(r) = 51*r**z + 53*r**2 - 105*r**2. Let k(s) = -24*s**2. Give k(u(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1168, -1, -3, 10 in ascending order.\nAnswer: -3, -1, 10, 1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*1000)\/((-21)\/170800). Suppose -8*b + h = -10*b. What is b rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**2 - 78 + 157 - 79 + 14*g**2 - 35*g**3.\nAnswer: -35*g**3 + 35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228184906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 373*u - 383. Let i(c) = 372*c - 479. What is 4*i(t) - 5*s(t)?\nAnswer: -377*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/90 + q**5\/30 - 11*q**3\/6 - 24*q**2. Let r(o) be the first derivative of p(o). Find z, given that r(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/170*((-4)\/6 - 16\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 35*l - 124. List the prime factors of m(18).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 times 0.2?\nAnswer: -162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7553 + 6864. Is p a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6375 and 12495?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20399699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -92*f - 2130. Let t be s(26). Is t at most as big as -4520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (735\/(-105))\/(1*-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 4:26 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30139 + 5?\nAnswer: -30134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3156 + 3152. Is f greater than -128\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 125.02. Which is the closest to 0? (a) k (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Let i(d) = -4*d - t*d + 6*d + d. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/210 and -83\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20001 + 0?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05347 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -182 not equal to -787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39258.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*s**2 + 30*s**2 - s + 43*s**2 - 19)*(-4 + 4 - 11*s).\nAnswer: 264*s**3 + 11*s**2 + 209*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from gugq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6702*f + 9. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 11 = -4*c + 5*r, -3*r = 4*c - 15. Suppose 2*u = 13 + c. Let t(g) = -6*g - 4. Let m be t(-4). Calculate the highest common factor of m and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 1642 - 1632 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393125, -393124, -393113, -393086, -393037?\nAnswer: -392960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j + 52*j = 24*j + 51408. Solve 0 = 4*t + 64*t - j for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -2\/41, 748?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610.85 kilograms to milligrams.\nAnswer: 610850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -4678941?\nAnswer: -4678941","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 523*o**2 - 329*o - 17557. Determine q(-262).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3.97. Let o = 0.37 + q. Let g = -7 + 7. What is the closest to g in -5, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 - 3 = 0. Suppose 3*h = -4*l + 63, j*l + 2*h - 31 = h. What is the greatest common divisor of 60 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o**5\/5 - 92*o**4\/5 - 28*o**3 + 24*o**2 + 234*o\/5 - 108\/5 = 0. Calculate o.\nAnswer: -3, -2, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 49*u**2 + 27*u + 58. Let m be g(-25). What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4522148562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935 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: What is the billions digit of 3959093765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37760 = 58*b + 39558 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/35*(3\/(-42))\/((-6)\/21)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and 1\/24912?\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75.97 - 1.03. Let d = -75 - n. Let j = -0.2 + -0.8. What is the closest to d in 7, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1995 = 2158*a - 2253*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -29013*r + 3. Let j(w) = -2*w. Calculate j(d(x)).\nAnswer: 58026*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*p - 23 = 0, -p - 40 = -5*s - 33 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*m - 5*k, -7 = 2*m - 8*k + 3*k. Solve 0 = 4*g + 4 + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5751515650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27852072 and 3?\nAnswer: 27852072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 2*q**5 + 0*q**5 + (-q - 3*q + 2*q)*(-3*q**4 - q**4 + 7*q**4) + (341739 - 88*q**2 - 341739 + (q - 3*q + 0*q)*(-6*q + 4*q + q))*(-2 + 2 - q**3).\nAnswer: 81*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**3\/3 + 4*d**2 - 7*d + 52. Suppose q(x) = 0. Calculate x.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -382*f**3 - 4*f**2 + 61*f + 64. Determine a(-1).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 400, 515, 614, 691?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (10 + 1 - (-1 - -6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(6 + -20 - 5). Let u = -55 - a. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**3 + 3*y**2 + 23*y - 33. What is v(4)?\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 9840 = -4*p. Let j = 984 + p. Solve 3*g + 2 - 8 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + c**2 + 12*c**2 - c**2. Suppose r = 2, 0 = 3*o - 3*r + 9 - 0. Is q(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l**3 - 11*l**3 - 9*l**3 + 1 - 13*l**3 as f*l**3 + n*l**2 + t*l + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 36*f - 9. Let r be y(2). Suppose 3*u + r = 10*u. Differentiate -20*n**2 + 32 - u*n**2 - 43 wrt n.\nAnswer: -58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 99 = 3*n, 161 = 5*n - 0*n - 3*j. Let t be (n - 1)*1\/2. Suppose -2*g = -3*g + t. What is the greatest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/99 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -28*t**2 + 0*t**4 + 0*t**3 - 1\/420*t**7 + 1\/120*t**5 - 1\/672*t**8 + 0 + 0*t + 1\/240*t**6. Suppose m(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/32*80\/(-56)*-8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2966514487.\nAnswer: 29, 43, 2378921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*q**2*v**2 - 182*o**3*q*v**2 - 53*o**2*q**2 + o**2*q*v**2 - 2*o*q wrt o?\nAnswer: 12*q**2*v**2 - 1092*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d. Let l(v) = 3*v. Let z(c) = -c. Let a(m) = 2*l(m) + 7*z(m). What is x(a(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -7. Let k be (-32)\/(-20) + 6\/15 - 2. Suppose k*y = y - 2*y. Solve 4*v - 3 = -3*o - y*o, 5*v + o = -s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -289*f + 2242 - 2761 - 4972 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 90 = -15*a. What is the hundreds digit of 214 + a + (5 - (-6)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28263 - -28268. Let y(x) = -4*x**3 + 2*x + 8. Let l(o) = 8*o**3 - o**2 - 5*o - 17. Give n*y(j) + 2*l(j).\nAnswer: -4*j**3 - 2*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 1022*n**3 - 166758*n**2 + 9059698*n - 33635560 = 0. What is n?\nAnswer: 4, 131, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -621373.889 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/12 - 92*n**3\/3 + 182*n**2 - 1088*n\/3 - 2580. Factor b(r).\nAnswer: (r - 272)*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3465956, 3465954, 3465952, 3465950, 3465948?\n\"Answer: -2*x + 3465958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 122\/109?\nAnswer: 122\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 5245741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = -12*b - 506. Put -1, b, 0, 4, 592 in decreasing order.\nAnswer: 592, 4, 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2790 and 38959839?\nAnswer: 389598390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d + 42. Let k be y(-6). Suppose k = 10*z - 9*z - 4*n, 0 = 3*n. Solve 5\/2 + z*a**2 + 5*a - 5*a**3 - 5\/2*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111\/2 + 1213\/22. What is the closest to 0 in 3\/2, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/24)\/((-6)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose 2*y + 5 = -4*u + 25, -4*u + 26 = p*y. What is the lowest common multiple of y and 8\/10 + (71148\/110)\/49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*c - 20*c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 25, -3*g - 2*g = -5*j + 490. Let f = j - 91. What is the smallest common multiple of 177 and f?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205560053 + 4?\nAnswer: -205560046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101504 divided by 3?\nAnswer: -101504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 - v - 4. Let j be a(-5). Suppose 0 = 4*x - 5*p + 1415, -2*p - 5 + 11 = 0. Let w = j - x. What are the prime factors of w?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -1119?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6833?\nAnswer: 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 77\/(-22)*(-42)\/49. Solve -89 = -y*p - 86 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Let y(v) = -1. Let i(m) = 2*m + 10. Let c be (-40)\/(-14)*42\/12. Let t(w) = c*y(w) + i(w). Give t(p(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + u + u - 5*u + (-1 + 1 - 2)*(-3 + 3 + u))*(-66*u + 9 + 30*u + 37*u).\nAnswer: -5*u**2 - 43*u + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:13 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 7*a - 7. Let o(t) = -2*t**2 - 4*t + 4. Let v(i) = 7*o(i) + 4*p(i). Let x(j) = -j**2 - j. What is x(v(f))?\nAnswer: -4*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose -7*x = -g*x. Suppose 3*r + 6 + 0 = x. Is r <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -484 + 493. Solve n*q - q - 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7 - (-2 + 18) - (1 - -4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 3, a: 1, u: 2, h: 4, q: 2}. Give prob of sequence qq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 13*w - 291. Calculate n(34).\nAnswer: -1005","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-123 + 126)*(2 + -1). Solve 36*k = 41*k + m + 24, 3*k = -h*m - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/73660 and 191\/215760.\nAnswer: 27401520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/5)\/((-113382)\/(-9450) + -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in -321, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 161812\/(4 + -2). Round v to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.125 or -6?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6784 is divided by 843?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 - 1306 + 313 - 33*i**3 + 318 + 320.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h*u**3 - h*u**2 - 14*h + 161*u**4 - 5*u**2 - u wrt u?\nAnswer: 72*h + 3864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 10.04. Let b = i + 7. Put 4, -1, b in ascending order.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -2. Let c be -2*1 + a\/(-60)*2. Sort -3, c, 0.4 in ascending order.\nAnswer: -3, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -207, -271, -335?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*-1 - 23\/(184\/(-72)). Solve 1 - 6 = -5*f - y*v, 5*f - 2*v - 19 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -0*z - 3*o, o - 64 = -4*z. Suppose -2*w + z = -w. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2. Let f(x) = -x - 6 + 4 - 15. Let z be f(-19). Let h(q) = -30*q**2 - 40*q**z + 67*q**2. Determine m(h(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249407 and 6069?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let w = r + 5. Are 3\/8 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15659 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(931))**2 + 5 - sqrt(931) - sqrt(931)).\nAnswer: -28*sqrt(19) + 939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*k**4 + 136794*k**3 - 169 - 136794*k**3 - 110*k**4 wrt k.\nAnswer: -476*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004 + 2302333?\nAnswer: 2301324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4126 - -28879\/7. Which is the closest to 5? (a) 0.3 (b) -2\/9 (c) -20 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25, -1 in ascending order.\nAnswer: -25, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24860 divided by -113\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 divided by 2010?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 714*a + 506*a - 161*a - 2 + 154*a + 30*a as f + j*a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56958 + 226497\/4. Let b = -334 - c. What is the closest to b in -2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c22 (base 16) to base 15\nAnswer: 4864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 343979184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 11*n**2 + 15638*n - 35236*n + 19598*n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 986*z**2 - 320777*z - 34965793. Let o(u) = u**2 - 2*u + 2. Let l(v) = -m(v) - 5*o(v). Find b such that l(b) = 0.\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9441442 litres?\nAnswer: 944.1442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:32 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8747315 - 6053786. Let p = 5243529 - h. Suppose -o + p = -4*o. Round o to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5360 is divided by 1767.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-5\/8)*u**9\/u assuming u is positive.\nAnswer: u**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/53017314 and 67\/24.\nAnswer: 212069256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 143*u + 92*u**3 - 3 - 94*u**3 in the form h*u + d*u**2 + g*u**3 + i and give h.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6592685*f**4 - 115512*f**2 - 13*f.\nAnswer: 158224440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -312 and -0.4.\nAnswer: 124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*s + 179 = 0, g = -79*s + 81*s + 65. Solve g*j + 231 = -111 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 28. Let x = 2417 - 2452. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248 + 497 - 54 + 20)*(4*a - 3*a + 0*a).\nAnswer: 711*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t - 99*t - 205*t as w + y*t and give y.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 263 + -8625.4\nAnswer: -8362.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 22, 91, 198, 349, 550, 807, 1126?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 8. Let n = -883 - -881. Put 7, p, n, 4 in ascending order.\nAnswer: p, n, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -3, 5, 35 in descending order.\nAnswer: 35, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -27*z**2 + 1227*z - 22. Is 8 a factor of d(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/77, 1, -342.\nAnswer: -342, -6\/77, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-9) - 606\/202\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -7301.\nAnswer: 57\/7301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -613\/35 + 89\/5. What is the second biggest value in v, -5, -0.4, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -61 (b) 3 (c) 5 (d) 1\/10 (e) -3 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153823255 is divided by 3944186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 138 + x + 2*x**2 + 5*x - 144 - x**2. Give t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000135911 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6008863087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 - -3.012. Let r = k + 0.06. Round r to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/7, -0.4, 0.061, 3\/7, -412 in ascending order.\nAnswer: -412, -0.4, 0, 0.061, 3\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/((-13)\/429) + (-2275)\/(-75).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 12*f + 2. Let o(a) = 2*a**3 + 13*a + 2. Let b(i) = -4*j(i) + 3*o(i). List the prime factors of b(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:08 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 43*z**3 + z**2 + z - 1. Let u be f(-2). Let a = -245 - u. 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: Solve 19192*j = 19139*j + 106 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/(-28)*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3452 - 3451.7. Which is the closest to 1? (a) -2\/5 (b) -9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5258053816?\nAnswer: 2, 71, 1933, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -132113021232?\nAnswer: -132113021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 33. Let n = -16 - u. Let m = 1 - -3. What is the remainder when m is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*i + 530 = 36*i - 58*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b. Let s be x(-1). Suppose 2*m - 2*i = 72, 0*m - s*i = -4*m + 138. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 524, 527, 532, 539, 548?\n\"Answer: z**2 + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.2. Let v(p) be the second derivative of p**3\/2 + 4*p. Let a be v(-1). Which is bigger: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.54 to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(6\/(-168)). Let g = o + -6. Let n be 1 + 6\/3 + 9. Solve -n = 4*c + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -8*n + 34820. Let p(w) = 8*w**2 - n*w + 3482*w. Let y(s) = -3*s**2. What is p(y(u))?\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 141?\nAnswer: 4\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 85. Let v = -45 - k. Let o(x) be the second derivative of -x**3\/3 + 11*x**2\/2 - 16*x. Give o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**4 + 3*j**3 + 26*j**2 + 6*j - 6. Let p(w) = -2*w**4 - 6*w**3 - 27*w**2 - 7*w + 7. Let b(v) = -7*k(v) - 6*p(v). Determine h, given that b(h) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 22*j - 11. Is j equal to -27\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.11365267 + 2.88635223. Let k = 13 - x. What is k rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/12 - 5*f**3\/6 - 2*f**2 + 11*f + 33. Let d(g) be the first derivative of l(g). Factor d(c).\nAnswer: -(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 1789718?\nAnswer: -1789721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*g - g - 241555, -3*g = 5*k - 724757. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 47, 91, 143, 197, 247, 287?\n\"Answer: -h**3 + 13*h**2 - 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 20. Let h be v(-21). Put -2, -6, -3, h in descending order.\nAnswer: h, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289423 + -198185. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3429, 4672, 8049, 14628, 25477, 41664, 64257, 94324?\n\"Answer: 178*g**3 - g**2 + 3252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -159. Let t = 36.8 + -37. Which is the nearest to -0.09? (a) -3 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-3\/7)*d)**(1\/47)*(d\/(d*d*((d**(4\/13)\/d*d)\/d)\/d*d*d*d))\/d**(1\/2) assuming d is positive.\nAnswer: d**(-23549\/8554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253518 - 137889. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2066658925 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*f + 6. Suppose -f = -6*k + 2*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4796 and 319836?\nAnswer: 34862124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -325, -317, -297, -259, -197, -105?\n\"Answer: q**3 + q - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.09 + -7.99. Let o be (4 - 6)*2\/4*5. Which is the closest to -0.4? (a) o (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2 + 9\/(-6)). List the prime factors of (1*4)\/(4\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*t + 2 = -7*t, -5*t = 4*x - 25. Suppose 9*w = -x + 23. Factor 4\/3 + 2\/3*j**3 + 0*j**2 - w*j.\nAnswer: 2*(j - 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j + 5. Let m be ((-1)\/6)\/(26\/78). Which is the closest to m? (a) 3 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 169*i + 3798. Determine y(-23).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 158550, 171184, 192240, 221718, 259618?\n\"Answer: 4211*r**2 + r + 154338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 7*k + 70. Suppose 11*j = 4*j + 477 - 561. Give i(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**4 - 12*p**3 - 64*p**2 - 116*p - 46. Let t(l) = -2*l**4 - 14*l**3 - 66*l**2 - 114*l - 48. Let a(s) = 3*r(s) - 4*t(s). Factor a(d).\nAnswer: 2*(d + 1)*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6*x + 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -4315, -3, 19, -2 in increasing order.\nAnswer: -4315, -3, -2, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4007951607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/4 + 87*o**3\/4 + 759*o**2\/4 - 26979*o\/4 = 0. Calculate o.\nAnswer: -17, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47263232 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -5*s**2\/2 + 3*s. Let x(g) = -g**2 - 1. Let r be ((-4)\/(-6))\/(2\/(-3)). Let j(p) = r*y(p) + 2*x(p). Differentiate j(m) wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 + 17*o - 4. Let w be p(-5). Calculate the greatest common factor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*(279\/27 - 10)*3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = a, -5*r + 29*a - 26*a - 15 = 0. Let b(f) = 4*f - 11. Calculate b(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*g + 2*p = 142*g + 48, 2*g = 4*p + 48. Solve g = 22*a - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y - 69*y = -8*y - 1440 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-163456)\/14047 - (-2 + 192\/44 + -2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 9*s - 8. Let h be w(-6). Let q be (-8940520)\/h + 6\/(-39). Let o = -200866 + q. Round o to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/10092080 and -85\/128.\nAnswer: 80736640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-7)))**(3\/7)\/((((j**(-6\/17)\/j)\/j*j)\/j*j)\/((j**(-1\/9)*j)\/j*j*j)) assuming j is positive.\nAnswer: j**(37\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*t = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))\/(q**(-3)\/q)*q**(-5)*q**(-1\/5)*q*((q**(-1\/2)\/q)**(-49))**(-37) assuming q is positive.\nAnswer: q**(-81551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/11 - 29176*u**3\/11 + 350322*u**2\/11 - 1138744*u\/11 + 817600\/11 = 0.\nAnswer: -14600, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2625 - -4073. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011267207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 114?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 5:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4173, 39, -2?\nAnswer: 4173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*n - 370 = -699*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t - 26 - 6*t**2 - t**3 - 5*t**2 - 34*t. What is the least common multiple of z(-10) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9272876 divided by -4636438.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-2 - (5 + 1)). Suppose 3*u = -3*t + 32 - 11, 0 = o*t - 3*u + 5. Solve t*b = -3*b + 5*z + 15, 13 = 5*b - 3*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 47.48783 microseconds?\nAnswer: 47487.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -186807438634 and 2.5.\nAnswer: -186807438631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-1086)\/(-270) - 4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let d = 1132 + -1131.7. Put -0.3, b, d in decreasing order.\nAnswer: b, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25438308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w - 18. Give q(11).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217050 is divided by 72286?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.62 + -12.32. Let s = b + 10.38. What is s rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a + 1. Let j be w(-2). Let k(r) = 71*r - 1. Let q be k(j). Suppose 0 = o - 201 + q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7983 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56942 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4788 is divided by 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 52 = -100. Find the first derivative of 2*w**4 + 89 - 11*w**3 + 6*w**3 + g*w**3 wrt w.\nAnswer: 8*w**3 + 33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from djqbzbg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiioiioiiiiiiiii. What is prob of picking 1 i and 2 o?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 101*x**2 + 464*x + 483. Let n(k) = k**2 - 1. Let z(g) = -3*n(g) - t(g). Solve z(h) = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77.00004044 - 77. Round b to 6 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 4. Let g be w(0). Let x(v) be the third derivative of v**6\/120 - v**5\/20 + 5*v**3\/6 - 15575*v**2 + 1. Give x(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422447 (base 8) in base 16?\nAnswer: 22527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/18 - (-22)\/((-15004)\/(-1606)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2197 = 2084*c - 1971. Factor 2\/17*q**3 + 0 + 8\/17*q**c + 6\/17*q.\nAnswer: 2*q*(q + 1)*(q + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 49730*g + 123653645 = 0.\nAnswer: -4973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 + 2*u. Let c = 2 + 0. Let z be a(c). Let p = z + 34. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -98. Let s = w - -8. Let x = s - 48.58. Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by (2\/1)\/(3*10\/180)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15)*f*f*(f*f*f**(-11\/2)\/f*f)\/f*f*f)\/(f*f**(-4)\/f*f)**(-2\/119) assuming f is positive.\nAnswer: f**(-2441\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 0.3 (c) -1\/5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4*i - 4. Suppose -5*l = 3*n + 37, -4*n = 3*l - l + 26. Let t be -5*2\/l - -3. Determine r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.7 in 3\/2, -0.98, -41?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 465.9 - 3255.336\nAnswer: -2789.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 9. Suppose k + 10 = -4*k - w, 2*k - 14 = -4*w. Let s = -10 - k. Let h be r(s). Solve -q - h = 0, 3*x + 6 + 1 = 4*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*j - 27958*c**2 - c*j + 39768*j wrt j.\nAnswer: c**2 - c + 39768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 9*n + 35 = 4*n, -5*y = 3*n + 34. Let j be (0 + (-2)\/(-669))*(y + 2). Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 5, a: 4}. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9498 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + -5 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v - 1203. Let t be m(0). Do -1203 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 92\nAnswer: -35\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {o: 2, s: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19838 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1. Let x(i) be the third derivative of i**5\/60 - i**4\/12 + i**3\/3 - i**2. Let h(w) = 2*k(w) - x(w). Let y(b) = b. Determine y(h(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/(1\/(-2)). Let p = -1.4 - -1. Let o = -6.43 - -1.43. Which is the nearest to -2? (a) j (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 7095.\nAnswer: 141900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 340, 306, 220, 58, -204, -590?\n\"Answer: -4*t**3 - 2*t**2 + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -341 (b) -0.5 (c) -1\/4 (d) -2.0621 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -599206*b**4 + 13*b**2 - 2*b + 413?\nAnswer: -14380944*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -7. Let m = 6 + w. What is the remainder when m is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2498011966 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.98584 rounded to 0 dps?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675074195.\nAnswer: 5, 1237, 109147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.414 and -3787977.\nAnswer: -3787976.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401*k**2 + 5*k - 8.\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233648887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)*l)**19)**(2\/23) assuming l is positive.\nAnswer: l**(190\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 - 9*d + 1. Let r(t) = 6*t**2 + 10*t. Let s be (-1)\/4 + 51\/12. Let h(n) = s*o(n) + 3*r(n). Suppose h(x) = 0. What is x?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:46 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-384)*4 - 2\/6. What is the closest to 0 in n, -0.4, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + 0.13. Let k = 0.3 + 0.2. What is the closest to 1 in i, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(304)*-1*-4 + -3 + 0 - (sqrt(304)*1 + -4 + sqrt(304)*-1 + 1 + sqrt(304))*5))**2.\nAnswer: -96*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1645813617 and 47\/7.\nAnswer: 1645813617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5033b - 5?\nAnswer: -50344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8264131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 127, -3 in increasing order.\nAnswer: -3, 89, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2\/2 - 7773*u + 20139843\/2 = 0.\nAnswer: 2591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 + -19 - -18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476 by 2.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/36? (a) 2\/3 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000130753746 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115749 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 82.739?\nAnswer: 82.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 744609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s - 3*s**3 + (s**3 + 0*s**3 - 3*s**3)*(-8 - 4 + 3).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21, -14, -2, 11, -1 in increasing order.\nAnswer: -14, -2, -1, 0, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in -4, 0.3, -1\/7, -1\/6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 6*t**2 - 4*t + 4. Let q be u(5). Let f(i) = -i**3 + 10*i**2 - 7*i + 17. Let o be f(q). Let z = 36 - o. Solve -2*b - z - 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*d - 139*d + 292*d + 322 = 0 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 742457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c + 6. Suppose 18 = i - 5*r, -r = -4*i - 5*r + 24. Let p = -13 + i. Calculate j(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -188. What are the prime factors of p\/(-14) - (-30)\/70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 5*x**2 - 6*x. Let c(v) be the third derivative of v**6\/120 - v**5\/15 + 5*v**4\/24 + 59*v**2. Let b(t) = -6*c(t) - 5*s(t). Factor b(o).\nAnswer: -o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/6*t**4 + 5\/6*t**3 - t**2 - 1\/60*t**5 + 0 - 4*t. Let r(s) be the first derivative of q(s). What is r(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -328 + 231?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3*z**2 + 5*z + 15. What is g(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**7\/210 + o**6\/150 - 9*o**5\/100 + 11*o**4\/60 - 2*o**3\/15 - 1068*o. Factor n(x).\nAnswer: x*(x - 1)**3*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, h: 3, p: 2, a: 1, u: 1, q: 1}. What is prob of sequence hqha?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -279, -2276, -7689, -18228, -35603, -61524, -97701, -145844?\n\"Answer: -285*m**3 + 2*m**2 - 8*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 64 = l - 3*l, 0 = -l - 4*d + 38. Suppose 2*i - 26 = l. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9389 or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/105 and 101\/4668.\nAnswer: 163380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 3)*(-1 - 2). Suppose 3*o - 3 = 0, b*v - 13 = -2*o - 5. Let k(z) = -2*z + 1 + 2*z**3 + 0*z + 0*z**v + 2*z**2 - z**3. Determine k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -0*b + 8. Let k be ((-279)\/(-6))\/3 - b\/(-2). Factor 10*f**2 - 3*f + 4*f**2 - 5*f**3 + 7*f + k*f**3.\nAnswer: 2*f*(f + 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 1 - 3 + 2*d)*(102 + 49*d**4 - 102).\nAnswer: -147*d**5 - 98*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 33. Suppose 2*c - q = -5*m, m - 5*c + 31 - 5 = 0. Let x(n) = -n**3 + n**2 - 1. What is x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from {i: 9, g: 3, j: 3}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + -70. Suppose 19*n = s*n + 651. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*s - 552*s = -5*x - 3, 5*x - 5*s + 30 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, and 1 w when three letters picked without replacement from {w: 5, m: 7, l: 3, o: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-315)\/(-36) - 1\/(-4). Suppose -o*w + 56 = -8*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 109*j + 1 - 107*j + 23*j**4 - 26*j**4 to r + x*j**4 + a*j**2 + y*j + n*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -158, -201, -244, -287, -330?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -404, -407, -398, -371, -320, -239, -122, 37?\n\"Answer: g**3 - 10*g - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 101, 143, 191?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a factor of 399978930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*t - 20, w + 2*w = 4*t + 26. Suppose m - 1 + w = 0, 5*g = m + 145. What is the lowest common multiple of g and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14\/(w**(-1)\/w*w*w))\/((w*w**15)\/(w**8*w)) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -305\/4 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from ggagmmgam.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495 and 77350?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 10:16 AM?\nAnswer: 261","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(104)\/(sqrt(200) - -2*sqrt(200)) + (sqrt(13)*-1 + 3 - sqrt(117)*-6))**2 + 2).\nAnswer: 3072*sqrt(13)\/5 + 1708886\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/30 + 56*j**3\/45 - 53*j**2\/15 + 52*j\/15 + 9909. Factor m(a).\nAnswer: -2*(a - 26)*(a - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2701 + -2355. Calculate the remainder when o is divided by 166.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, y: 2}. What is prob of picking 2 e and 1 y?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3, 1 = 4*g - 2*p + 7. Suppose 2*i + g = -6. Are i and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16) - 6\/(60\/35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/9 (c) 2\/9 (d) -5 (e) 16998\/11 (f) -0.2 (g) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 23075?\nAnswer: 69225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 4*c**7\/21 - 11*c**3\/6 - 31*c. What is the second derivative of f(p) wrt p?\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53*5\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*(-34*t - 1 - 28*t + 71*t) + (6*t - 3*t - 2*t)*(-4 + 2 + 1) as s + f*t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iups when four letters picked without replacement from isiuupfffiiwfwi?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2449131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59454565, -59454563, -59454561?\nAnswer: -59454559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**16)\/(s**(-2)\/s) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301366 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -78, 7894, 2 in increasing order.\nAnswer: -78, -4\/7, 2, 7894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-42)\/(-1998)) - -1. Let n = o - 2342\/7. Suppose -15 = 3*x - 3*g - 0, 4*g = 5*x + 21. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(684) - (sqrt(684) + -1)) - (-1 + sqrt(684)*1) - 1*-2*sqrt(684)*-5)**2 + -5)*4.\nAnswer: -3696*sqrt(19) + 331232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -989, -1947, -2903, -3857, -4809, -5759?\n\"Answer: j**2 - 961*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a hour in seconds?\nAnswer: 38160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times 0.5532401?\nAnswer: 21.5763639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 88, 268, 602, 1138, 1924?\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 46. Let a = v - 13. Which is bigger: -6\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4574360, -4574362, -4574364, -4574366, -4574368?\n\"Answer: -2*g - 4574358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*86856\/2310.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**3 + 3*t**2 + 5*t + 2. Let w(j) = -3*j - 32. Let q be w(-10). Let u be y(q). Let o be 1\/(u\/(-16) - 3). Solve -o*a + 7*a = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -12*d**5 + 88*d**4 - 164*d**3 - 8*d**2 + 96*d = 0.\nAnswer: -2\/3, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = u + 29, -2 = -5*u + 3. Let k = 17 + j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1025 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-36 + 16 - (-59 - -116)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 + 4*g - 2. Let m be o(3). Let p be 2\/11 + 8\/m. Suppose -3*f + p*d = -5*d - 26, -4*d + 24 = 4*f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 - 4337. Let g(t) = -3533*t**2. Determine b(g(v)).\nAnswer: 3533*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (321*y - 176*y - 4 + 289*y + 4)*(-4 + 3 + 3).\nAnswer: 868*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 - i**4\/24 + 293*i**3\/6 + 9*i**2. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*t**4 - 85*t**4 - 91*t**4 + t**4 + 3*t**4 - 2*t**4 - 7*t**4 + 4*t**4 + t**4 + t**4 + 2*t**4 - 5*t**4 + (t - t - 2*t)*(-3*t**3 + t**3 + 3*t**3).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1620 and 225?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) + -5*15\/125?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 25 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 20*y**4 + 12*y + 12*y wrt y.\nAnswer: -252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-54))\/(6\/9))\/((-11445)\/9810)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1) + (-297)\/(-550)*-2. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 894\/140 - (30 + -23 + -1) and -18\/305?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c + 5. Let f be w(0). Suppose -4*x - 2*u = -28, 2*x + 40 = 6*x + f*u. Put 22, x, -2, 1 in decreasing order.\nAnswer: 22, x, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -9, 0, 9, 18, 27?\n\"Answer: 9*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 4, 1, -2, -5, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*w + 1 + 167 + 127. Suppose 5 = -2*p - 2*c - 1, 2*p = -3*c - 3. Sort p, w, 11 in descending order.\nAnswer: 11, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811824274.\nAnswer: 2, 13, 59, 157, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 641, 0.5, 0.01, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, 693.7 in descending order.\nAnswer: 693.7, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 17*c - 35. Determine p(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3))\/sqrt(6) - (sqrt(7) - (3 + (-1 + sqrt(7) - sqrt(7)))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954439.\nAnswer: 41, 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54210\/97 or -560?\nAnswer: -54210\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1727182*c**2. Let n(s) = -2*s**2. Give n(j(o)).\nAnswer: -5966315322248*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16892790 and 2610?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.55426 litres in millilitres?\nAnswer: 90554.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1151\/42 - 55\/2. Let r = 129971\/205170 - 1\/6839. Find the common denominator of r and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by -2.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**2 - 2. Let i be d(0). Suppose 0 = 16*j - 13*j - 12. Solve i*r = r + j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 3, r: 1, m: 6, y: 5}. What is prob of sequence trw?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 2, o: 8, q: 1, w: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104017 * -1.5.\nAnswer: -156025.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91b3 (base 13) to base 3.\nAnswer: -1000120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/9)\/(3\/(18\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10*j = -7*j + 74, -2*w + 3*j + 34 = 0. Suppose -5*i - 2*s = 3*s - 420, s = -3*i + 244. Calculate the greatest common factor of i and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712750991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -662572 (base 10) in base 2?\nAnswer: -10100001110000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = 2*r, 4*k - 10 = 2*r + 4. Let m be 1 - k - 39\/(-9). Suppose 3*c + 1 + 4 = t, 2*t - 10 = -5*c. Is m greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:53 AM?\nAnswer: 347","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express -10168*g**2 + 2444*g**2 + 949*g**2 + 530*g**2 as d*g + p + v*g**2 and give v.\nAnswer: -6245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from mwwmmmnmwwmwmmwwwww.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (384\/45 - 8)\/(2\/5). Put h, -3, 4 in increasing order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 54. Let z be (3 + j\/(-6))\/(-5). Which is the second smallest value? (a) z (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let n be 7 - p - (5 + -5). Solve a + 3*a - n = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3.2. Let r = b + 1. Let w = 0.29 - 0.09. What is the smallest value in 0, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 8*c + 16. Give t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(-3265*i**2 - 3490*i**2 + 7242*i**2).\nAnswer: 487*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5\/5 - 294*k**4 + 368022*k**3\/5 + 141668504*k**2\/5 - 5176762623*k\/5 + 5034727566\/5 = 0.\nAnswer: -222, 1, 33, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3938607 divided by 11.\nAnswer: 3938607\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = -0*m + 5*m, -2*m = -5*d - 4. Let t(h) = h**3 + 17*h**2 + 14*h - 29. Let j be t(-16). Solve 0 = a + j*a + 4*n - 4, -10 = 5*a + m*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 - 271. Suppose 2*d + g = d, 5*t - 1289 = -3*d. What are the prime factors of t?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -171, -259, -347?\n\"Answer: -88*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 2392\nAnswer: -1674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 16, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*o + 12 - 21 = 0, -15 = -5*i + o. Solve -4*y + 4 = -0*f - 3*f, 2*y + 16 = -i*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 24. Let l = 10 + i. Suppose 0 = -7*k + k - 66. What is the nearest to l in k, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 24*n**2 - 30*n. Is q(4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1413\/2 - 14211\/20. Let r = 425\/11 - 7867\/176. Find the common denominator of v and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Let u be 6 - ((1 - 2) + 6 - 4). Suppose -u*a + m*y + 50 = -0*a, -46 = -5*a + y. Calculate the lowest common multiple of 27 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/70 and -109\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 425045 (base 9) to base 2\nAnswer: 111101110001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 15*v**2 - 7. Let b be 2\/4 + 1\/2. Let r(s) = -s**2. Let u(x) = b*w(x) + 3*r(x). Differentiate u(t) with respect to t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223574873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1798363*v**2 + v - 1798399*v**2 - v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3003 is divided by 301?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 10*o = -2*o - 1, o + o - 1 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-30)*(-15)\/9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + c - 131, -m + 189*c = 187*c - 44 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16874857?\nAnswer: 61, 276637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364.006934 - -364. What is l rounded to four dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*q = 24, k + 0*k - 2*q + 4 = 0. Suppose k*p + 37 = 49. Suppose 0 = p*h + 3*n + 2*n - 4, 0 = -2*h - 4*n. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 12737067?\nAnswer: 12737073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.358 - 0.142. Let y = h - 0.5. Let p = 28.000000342 + y. Round p to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106614?\nAnswer: 2, 3, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrddddrddggdwwddddd. Give prob of picking 3 d.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -81.2 (b) 1\/3 (c) -30\/799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((-2)\/1 + -2). Solve -o*n + 4 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7639.7 + 7640. Which is the closest to 0.8? (a) -1\/6 (b) -0.5 (c) t (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5703570 to the power of 1\/2, to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -51)\/(-3 - -4) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1625 (base 9) to base 10\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*t*w - 26*f**2*t + f**2*w - f - 8*t*w - t + 4*w wrt f.\nAnswer: -4*t*w - 52*t + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*p + 2233 = 8*p, t = -2*p + 744. Suppose 12*a = -370 - t. Which is smaller: a or -187\/2?\nAnswer: -187\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/13, 0.0723, 2 in descending order.\nAnswer: 2, 11\/13, 0.0723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x - 8 = 0. Suppose 18 = -x*p + 238. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 1. Let k be (-4)\/2 - (0 + -4). Suppose -4*s - 8 = k*f, s = -6*f + 2*f + 12. What is y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from ryrlsrjlsjjrrjrrslr?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199.3 - 199. Which is the closest to -0.1? (a) 1\/5 (b) 4.8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -3\/22, 5\/4, 2, -0.2?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + y**2 - 2*y + 1. Let h(x) = 7*x**3 - 6*x**2 + 13*x - 15. Let z(v) = h(v) + 5*n(v). Calculate z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/5, 5, -167, -426\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3577 - -3581. Let r(g) be the second derivative of -1\/10*g**5 + 20*g + 0*g**3 + 0 - v*g**2 + 1\/2*g**4. Determine p, given that r(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -28*t**2 + 7. Let z(d) = 9*d**2 - 2. Let h(b) = -2*w(b) - 7*z(b). Let n(i) = i. Calculate n(h(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9419*j**2*p**2 + 4*j**2*p + p**2 + p - 146791 wrt j?\nAnswer: 18838*j*p**2 + 8*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 2*h - 6*h)*(-3*h + h + 3*h) + (-2*h - 4*h + 4*h)*(5*h + 2*h - 4*h) + h**2 + h**2 - 5*h**2 as c + w*h + v*h**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 494, 742, 992?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6817001, -6817013, -6817031, -6817055, -6817085, -6817121?\n\"Answer: -3*h**2 - 3*h - 6816995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -19. Let v be (-6 + (-10)\/(-5))\/2. Is n less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.00769, -4, -3, -5, 1, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 296032481*w. Let q(s) = -2*s**2. Give q(z(o)).\nAnswer: -175270459614030722*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 5, 4*j - 3*l - 9 = 0. Suppose 4*y - 3*h = -0*h + 335, j*y - 270 = -4*h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 34, 43, 52, 61, 70?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 2)*(0 + p + 0).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563 (base 14) in base 10?\nAnswer: 12043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5363 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19926, -19923, -19920, -19917, -19914?\n\"Answer: 3*y - 19929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*y + 20, -476*n + 12*y + 88 = -474*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-13))\/((-6)\/9*(-147)\/(-1274))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 + 12*s**3 + 8*s**2.\nAnswer: -4*s**2*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17b6a (base 13) to base 2\nAnswer: -1011001100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 71 + 20 + 13 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2438*f - 2397*f - 738*f.\nAnswer: -5573*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 102.5. Round y to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47386b (base 12) to base 6.\nAnswer: 40325415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 22129?\nAnswer: 243419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 10*m + 3. Let h be 1 - (-2 + 3*-2). Solve 3*t + m + h = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -33. Suppose -4*u - 4 = 0, -4*j = -12*u + 10*u + 14. Sort r, 0.4, -2\/11, j.\nAnswer: j, -2\/11, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - j - 1. Let n(y) = -23*y**2 - 30. What is -n(b) - 6*o(b)?\nAnswer: -b**2 + 6*b + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from uuaau?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 42*r**3 + 421*r**2 - 58*r - 695. What is n(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:11 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -30*f**5\/11 - 402*f**4\/11 - 636*f**3\/11 + 5568*f**2\/11 + 2304*f\/11 = 0.\nAnswer: -8, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195 <= 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052928719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3299 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -64. Suppose l = g - 19. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) -2 (c) -0.08 (d) -6768\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -17 + (2 - 4) - (-5 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2*(-1)\/(-10). Let g = 1\/12 + j. Factor -2\/3*r**2 + 2\/3 - 1\/3*r + g*r**3.\nAnswer: (r - 2)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.23, 0.5, -1, 0?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 367?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**4 - 26*c**3 - 32*c**2 + 140*c - 78. Let g(m) = 4*m**4 + 130*m**3 + 162*m**2 - 702*m + 392. Let v(b) = -3*g(b) - 14*r(b). Factor v(h).\nAnswer: 2*(h - 14)*(h - 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -318 + 301 - w - w in the form u*w + p and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4780042 is divided by 1876?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 + 3360 - 3570 + 90*a.\nAnswer: 90*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/25))**(2\/11))**20 assuming p is positive.\nAnswer: p**(-32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/453 and -47\/9?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t - 237. Let c be o(-7). Solve 4*m - 10 = h, -2*h + 0*h - c = -4*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353, -711, -1063, -1409?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-34 + (-316)\/(-8))\/(-11)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242)*-1)**2 + (sqrt(242) + 2 + -2 + sqrt(242))**2.\nAnswer: -22*sqrt(2) + 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(735) - sqrt(735) - sqrt(735))\/sqrt(432)*4*-3*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let w = -2.9 + k. Which is the second biggest value? (a) w (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618492 divided by -5572.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -224*t - 1130. Calculate i(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2\/13 (c) 19781 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**3 - 2*i**2 + 4*i + 1. Calculate n(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 544?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**3 - 42906*c**2 - 51179680*c - 102187808.\nAnswer: -(c + 2)*(3*c + 7148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + 4 + 1*(0 + -1 + sqrt(832) - (2 + 0 + sqrt(832)))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -29. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/25043 + -3180281\/1502580. What is the common denominator of -1 + 1 + 14\/(-438) and k?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2. Let y(i) = 14*i**2 + 8*i + 8. Let z(n) = 0 + 5 - 2 + 5*n**2 + 0 + 3*n. Let f(m) = -3*y(m) + 8*z(m). Give k(f(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 202. Put y, -45, -3 in ascending order.\nAnswer: -45, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 19, 62, 123, 202, 299, 414?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/21)\/(((-168)\/(-147))\/((-6)\/35)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 554.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23077358 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153a5 (base 11) to base 2.\nAnswer: 101010100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (828\/(-322))\/((-7960)\/1988 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132))\/sqrt(11) + -4.\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -20 (b) 0.046 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.5153731 to 2 decimal places.\nAnswer: -30.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t**2 + 2*t)*((12 + 5 - 2)*(2*t + 0 + 0) + 4 + t - 4).\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42 + m - 78 + 35)*(-m - 9 + 9) to the form x*m + s + u*m**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**2 + 17\/12*b**4 + 0 + 0*b**5 + 0*b**3 - 8\/15*b**6 - 6*b. Find the third derivative of w(a) wrt a.\nAnswer: -384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766112.2 millennia to years.\nAnswer: 766112200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 37. Let i be y(19). Do -71 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, h: 5, u: 2, o: 3, d: 6, m: 1}. Give prob of sequence td.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 23, 47, 89, 155?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(2\/25)\/((h*(h*h**(-1\/4))\/h)\/h)**(-5\/14) assuming h is positive.\nAnswer: h**(99\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let j = w + -3.7. What is the closest to -1 in 2\/5, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26959 - 6*k - 8*k + 6*k + 299422 + 6*k.\nAnswer: -2*k + 326381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(117)\/sqrt(9))**2*6.\nAnswer: -456 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*s = -3691, 0 = -5*u - 970*s + 966*s + 9112. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 841 - 10105\/12. Calculate the common denominator of 49\/8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -0.083, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 451*b**3 - 443*b**3 + 21*b**2 - 293*b**3 as o*b**3 + n*b**2 + v + u*b and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*(0 - -3). Suppose 0 = 5*h - c + 6, 0 = -h - 3*h + 2*c. Let g = w - h. Solve 4*j = g*v + 7 + 21, -4*v - 24 = -4*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 317.\nAnswer: -95.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Suppose -3*u - 8 = -y. Let c be (0 + (0 - (14 - -3)))\/u. Are 17 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 0)\/(-2)*2. Let a = y - -12. Suppose 3*u + a = 4*u. What is the highest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-66) + 4192\/(-528). Let w(s) = 3*s - 51 - 8*s - 4*s. Is w(u) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6739 and 28714?\nAnswer: 660422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 103*y**2 + 2993*y - 2882. Give r(72).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -242*y**2 + 1691*y + 16. Give q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64446*g**4 + 2*g**3 + 2*g**2 + 16130*g + 1?\nAnswer: -773352*g**2 + 12*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037.619 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270116 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Suppose 0*s + 4*s - 12 = 0. Suppose 0 = 3*m - s - 3. Let q(y) = -y**2 + m*y**2 + 3*y**2. Calculate b(q(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*u**2 + 283*u**3 + 232*u**2 - 3*u**2 + 199*u**2 - 98*u**2 wrt u.\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, c: 2, g: 6, k: 1, a: 3}. Give prob of sequence gkc.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {p: 4, n: 5, e: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v - r, -4*v + 2*r - r = -14. What are the prime factors of 102\/(2 + 2 - v) + -3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 11*g**4\/24 - 19*g**3\/6 + 2*g**2 + 177. Let a(j) = 5*j - 9. Determine 7*a(n) - 3*z(n).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 76 = 2*u, u - 8 = -5. Let c = 75 + a. Solve c = -p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 5752.0594295?\nAnswer: -5751.0594295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let i be 42\/(-4) + 3\/(-6). Let g = i + 7. Which is the nearest to p? (a) -3\/2 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 6 + 31 - (1 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + v + 430 = -6*q, 5*q + 1069 = -4*v. Let m = q + 46. Is m bigger than -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222910, 222907, 222904?\nAnswer: 222901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (35 - 29) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163465 is divided by 13622.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 3223*v**8\/336 + 2483*v**4\/12 - 841*v**2. Find the second derivative of q(l) wrt l.\nAnswer: 64460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*z**4 + 2*z**3 - 4*z**2 + 5*z + 417692 wrt z?\nAnswer: -188*z**3 + 6*z**2 - 8*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 319065474 and 232527.\nAnswer: 319298001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd9 + 4?\nAnswer: -cd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 62. Suppose 4*a + 11 - j = 0. Calculate the greatest common factor of a and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*r**2 - 8*r**2 + 46*r**2 - 114*r**2 - 91*r**2 in the form t*r + b*r**2 + g and give b.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -727 - -720. Let c(v) = -13*v + 119. Let d be c(m). Suppose -4*f - 5*n + 110 = 0, 2*f - 50 - 14 = 2*n. What is the highest common factor of f and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6595 + 962873\/146. Calculate the common denominator of 81\/4 and j.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 564 + -13?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-291)\/(-3) + (-4)\/(-1 - -3). Let r be p\/(-25)*-1 - (-1)\/5. Suppose -5*s + 29 = r. Solve 2*m = -5*q - 6 + 24, -m = s*q - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 5*o**2 - o + 10. What is the remainder when 45 is divided by u(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 28*v - 174. List the prime factors of r(-39).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*12\/(-1). Suppose 0 = -4*i + i + w. Solve r + 1 = 3*u + 3, -i = -r - u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108732 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 6*o + 4. Let m(j) = -j**2 - 5*j - 4. Let y(t) = -3*l(t) - 4*m(t). Let d be y(0). Solve -4*i + i = d*g, -3*i + 27 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101774037 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4189655411480 - -6?\nAnswer: -4189655411474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1454 divide 8292609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a factor of 1195170226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 1065421?\nAnswer: 26\/1065421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 96336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4082 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -640, -4, -11.\nAnswer: -640, -11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let q(t) = 50*t + 47*t - 151*t - 6*t**2 + t**2 + 55*t. Determine q(c(a)).\nAnswer: -80*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7300278042.\nAnswer: 2, 3, 41, 29675927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -154*h - 11972. Calculate y(-78).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 58c?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/31, 62, 13 in ascending order.\nAnswer: -1\/31, 13, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let g(h) = h**2 - 11*h + 5. Let p(s) = -5*b(s) + g(s). Let w be (-3)\/((-9)\/(-3)) - -5. What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203770 - -5?\nAnswer: 203775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6709845 and 52.\nAnswer: 348911940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99.74 - -99.54. What is the nearest to 2\/7 in 0.01, g, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -924, -1848, -2772?\nAnswer: -3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3055)\/(-26))\/(-47)*(-1)\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03151 times -0.59?\nAnswer: 0.0185909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0187928137 rounded to 5 dps?\nAnswer: 0.01879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 563.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let w(l) = -27*l**2 - 5*l + 5. Let g(n) = -135*n**2 - 24*n + 24. Let s(z) = -5*g(z) + 24*w(z). Calculate s(q(c)).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13667.5 - -13668. Put 122, -2\/21, b, -2 in descending order.\nAnswer: 122, b, -2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005218923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422130 is divided by 245.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*l + 214 - 22, 2*k = -l + 339. What are the prime factors of k?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34752478 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.2834 micrometers in millimeters?\nAnswer: 0.1812834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1728 = -35*o + 19*o. What is the greatest common factor of o and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/2 - 3919806*c**2 - 31358352*c = 0 for c.\nAnswer: -2613196, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.01, -4, -3326, -2\/7, 3\/4?\nAnswer: -3326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/5 - 1138*q**2\/5 - 57566*q\/5 - 11286 = 0 for q.\nAnswer: -513, -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, h: 3, j: 1, f: 5}. What is prob of sequence ffjh?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + x)*(-x + 2*x**2 + x + (-4*x**2 + 4*x**2 + x**2)*(-5 - 1 + 3) - 2 + 2 - 2*x**2).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h\/h**(2\/3))\/h)**(13\/3)\/(h\/(h*h\/h**(-1\/3)))**(-3\/17))**(12\/7) assuming h is positive.\nAnswer: h**(6044\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 32*v**3 + 6*v - 13*v.\nAnswer: 32*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:49 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 9 - 1 + 19 + 25*s to the form i + c*s and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*m - 59*m + 333*m = 46525527. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339483018 divided by 135037.\nAnswer: -2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 58 = 3*y - 27*l, -l + 21 = y. Calculate the remainder when 793 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1590, 3177, 4752, 6309, 7842, 9345, 10812, 12237?\n\"Answer: -y**3 + 1594*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -82*z**2 + 807*z + 804. Let h(o) = 16*o**2 + o + 2. Let t(j) = -10*h(j) - 2*x(j). Find c, given that t(c) = 0.\nAnswer: -1, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (0 + 4 + 653 + -687)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 30. Let l be f(-8). Let m be (1\/2)\/(l\/40). Solve -3*h + 7*h + 2*s = -24, 0 = m*h + 2*s + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 times -315.7\nAnswer: -8.5239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-2 + 10 + -2). Suppose 4*x = 3*p + 8, -2*p = -7*p. Suppose a = -x*t - 104 + 312. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 5*f - 32 = 0, 4022*p - 4039*p + 4*f = -18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ee863 (base 16) to base 5.\nAnswer: -1004304241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/13 (b) 1\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036 = -24*u - 1252 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.6*-0.188.\nAnswer: -3.4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 86676*j**2 - 663163863*j - 527797728246 = 0. What is j?\nAnswer: -13997, -898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 35 = -7*a. What is the remainder when 14 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1925 - 1061. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 - 1. Let v be w(4). Let n be (-12)\/(-9)*v\/10. Solve s = -s + n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9*v = 5*s - 70, 2*s - 3*v - 39 = 0. Solve -s = 2*m - 2*t - 4, 0 = -3*m + 2*t - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52356104 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 837, 487, 127, -237, -599, -953, -1293, -1613?\n\"Answer: g**3 - 11*g**2 - 324*g + 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 3. Let v be z(-3). Suppose d + n - v*n = -15, -d + 3 = n. Let h = 4 - d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 6*l - 12*l)*(4*l**3 - l**3 + 0*l**3 + l**3 + 0*l**3 - 2*l**3 + (1 + 2 - 1)*(-3 + 3 + 3*l**3) + 5*l**3 + 0 + 0).\nAnswer: -91*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10513 - 10496. Solve 0 = 2*l + 27 - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*p - 3*g + 2*g, -4*g = -8. Solve -y - 9 + 0 = -4*l, -5*y + p*l = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51176690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 512983753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 334, 659, 966, 1249, 1502, 1719?\n\"Answer: -k**3 - 3*k**2 + 341*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12132 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-3)\/(-6) + 969\/6. Suppose 3*f = -4*b + 472, -2*b = -7*f + 3*f + 644. Suppose w*u - 24 = f*u. Is 16 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 705, 1593, 2867, 4719, 7341, 10925, 15663?\n\"Answer: 32*m**3 + m**2 + 661*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - (-160)\/70. Let g = y - -1. Solve 5*q = -2*k - 29, -2 = 3*q + g*k + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79565*j**2 - 159133*j**2 - 90*j + 79581*j**2 + 3214 wrt j.\nAnswer: 26*j - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:49 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p + 99*p + 372*p + 278*p + 164*p - 239*p.\nAnswer: 889*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360*j**3 - 15*j**5 - 13*j**5 + 26*j**5 - 2*j**5 + 1080*j**2 + 972 + 60*j**4 - 1620*j.\nAnswer: -4*(j - 3)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(-6*sqrt(8)) + sqrt(187)\/(-2*sqrt(1331)).\nAnswer: -17*sqrt(17)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -236?\nAnswer: 11\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**4\/24 + 2*r**2 + 24*r. Let u(p) = 9*p. Give u(x(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -270, -627, -1126, -1767?\n\"Answer: -71*i**2 - 2*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*a**2 + 7*a**3 + 43*a**2 - 91*a**2.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 374382961 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 203 - 203 + 371*b + 4 + 2*b - 4 + (-2 + 0 + 0)*(2*b - 3*b - b).\nAnswer: 377*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1699023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 215 = -907. Let x = 208 + u. Let b = -30 - x. What is the greatest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njtnnenwnjjnlew. What is prob of picking 2 n and 2 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -20*y**5 - 1036*y**4 + 17316*y**3 - 91268*y**2 + 194480*y - 145200 = 0.\nAnswer: -66, 2, 11\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1996 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26303678 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9628*t**2 - 51*t. Let o(k) = 247275925*k**2 - 1309816*k. What is -77048*f(q) + 3*o(q)?\nAnswer: 9631*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-300)\/(-48)*(0 - -2)\/(-10))\/(262\/(-9432))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 22520?\nAnswer: -22486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(214 - 212).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (48 + -20 + -17 - 15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s - 252. Let p be f(12). Let j(q) = -q**3 + 11*q**2 + 11*q - 4. Give j(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/10 - 134\/(-335). Let r(p) = p**3 + p**2 - p. Let k be r(-3). Let h be (-4)\/1 - (2 - k\/x). Let a(i) = -i + 4. Determine a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 58. Let y(d) = 2*d. What is y(q(r))?\nAnswer: 4*r - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153069567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 120160*t**3\/3 + 1601832248*t**2 + 63670174385728*t\/3 - 11747874502281008\/3.\nAnswer: (t - 182)*(t + 40114)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5301312 divided by -2\nAnswer: 2650656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 26*w - 5 = 3*j, 25 = 2*w - 3*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133.1 - 39.9. Let c = a + 171.87. Round c to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -0.6. What is the nearest to 2 in -1\/10, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107695 and 56?\nAnswer: 861560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265516 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w - 13. Give g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815 is divided by 1317?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + -27. Let m = k + 182. Suppose 19 = -4*q + m. What is the remainder when 38 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2785, -3303, -3831, -4375, -4941?\n\"Answer: -r**3 + r**2 - 514*r - 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524*(-5)\/(-130)*221\/(-34).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*r + 4*s - 8 = 0, -2*s - 18 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**4 - 3*l**3 + 3*l**2 + 10. Let j(v) = 23*v**4 + 8*v**3 - 8*v**2 - 30. Let o(u) = -3*j(u) - 8*n(u). Find the first derivative of o(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 206 - 138 = 0. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -0.228?\nAnswer: -0.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/204 and 29\/8734?\nAnswer: 890868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 3*o - 5. Calculate z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4 + 1\/2*w + 1\/4*w**2.\nAnswer: (w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229902.21 rounded to the nearest 1000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500146668?\nAnswer: 2, 3, 7, 1984709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251870, -502555, -753238, -1003919, -1254598?\nAnswer: -1505275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. Suppose k = h - 5*z + 2, -7*z + 41 = 2*h - 2*z. Calculate the greatest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Suppose 0 = -w*d + 1152 - 182. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/4 + (-540)\/(-63) + -3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r**3 + 9*r**3 + 5*r**5)*(0 + 5 + 0) - 15*r + 2*r**4 + 15*r - r**5.\nAnswer: 24*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*m = 380*m - 155 + 12797 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3162987049?\nAnswer: 149, 21228101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d - 1. Let k be l(3). Let r = -32 - -62. Calculate the remainder when r is divided by (10 + 0)*(-64)\/k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + 0*w)*(99 - 117 - 59)*(w**4 - 2*w**3 + 5*w**4 - 1 - 9*w**4).\nAnswer: 231*w**5 + 154*w**4 + 77*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 3, -3.987 in ascending order.\nAnswer: -3.987, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 63. Let t be 8 + (q + 12)\/(-3). Suppose 5*a + 9*l = t*l + 1810, -3*l = -12. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 70. Suppose 15 = -b - 5*d, 5*b + 4*d - n = 4. What is the remainder when 57 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 148\/11*(-307 - -304). Is z >= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x + x + 138 - 155. Let g = 1 + -8. Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1083 or 27084\/25?\nAnswer: 27084\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*m - 19 = 0, 3*b + 0*m + m = 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20285*f - f**2 + 20285*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 6*x**4 + 4*x**3 + 4*x**2 - 6*x + 2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p - 26*p = 26524. Is 348 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636170 and 30?\nAnswer: 1908510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/14 and 81\/4460746.\nAnswer: 31225222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 2, g: 2, d: 1, y: 2}. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125.01 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80882 + -13257. Let h = s - 67966.51. Let z = -340 - h. Round z to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 2, -3, -26, -4 in ascending order.\nAnswer: -26, -17, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375*k - 506?\nAnswer: -375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2585012 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 851866 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006924725209 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-17)\/136*8). What is the closest to y in 5, 9\/20, 4?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12059 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*w**3 - 8*w**2 - 1031 with respect to w.\nAnswer: 30*w**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooxooxxvxn. What is prob of picking 1 x and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.1038t to nanograms.\nAnswer: 285103800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18, 0, -7, -9 in decreasing order.\nAnswer: 18, 0, -2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 18496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 - -0.1. Let f be 11\/((-968)\/16) + (-90)\/(-374). Which is the biggest value? (a) f (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008166545 rounded to six dps?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-4)**2 + 1.\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190182 and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.076 + 5.1. Let f = 0.13 - y. Which is the second smallest value? (a) f (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 0*m + 4*m + (m - m - 2*m)*(146 - 25 - 74) - 3*m - 2*m + 2*m - 3 + m + 3 + (-1 + 4 - 4)*(-2*m + 3*m - 2*m) + 0 + 2*m + 0 to n*m + q and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 3 + sqrt(49)\/(sqrt(49)\/sqrt(7)))*2.\nAnswer: 6 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 105059724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 110101111101100111101100?\nAnswer: 110101111101100111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3767 = -5*l - 3*o + 1714, 2*o + 2202 = 2*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * 787189.\nAnswer: 20466.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 88*f - 280, 11*f + 12*f - 92 = -3*t + 27*f + 76 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67755894 to the power of 1\/2, to the nearest integer?\nAnswer: 8231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 86\/43*(-2)\/(-1). Let z(f) be the second derivative of 4*f + 0*f**c - 1\/60*f**5 + 0*f**2 + 0 + 1\/180*f**6 + 0*f**3. Factor z(m).\nAnswer: m**3*(m - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/16 - 9\/16. Sort -5, 5\/6, q in descending order.\nAnswer: 5\/6, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 104025212?\nAnswer: -104025214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(sqrt(66)\/sqrt(6) + 0)**2*3.\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/9))**(-14) assuming f is positive.\nAnswer: f**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11951, -47807, -107553, -191177, -298667?\nAnswer: -430011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/33)*t\/(t\/(t\/(t\/((t*t**(-18))\/t)))*t*t))\/(t\/(t\/((t\/(t**3*t))\/t*t)))**42)**(-2\/85) assuming t is positive.\nAnswer: t**(-6992\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14609\/4 - -3652. Let z = 11.91 + 0.09. What is the fourth biggest value in -2, -1, z, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 1. Suppose -u*m = -m - 35. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75399.\nAnswer: 3, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 17*r**2 + 14*r - 34. Let w be q(-16). Let t be 3 - (-2)\/(w - -4)*13. Is t\/(-56) - (-5511)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 45, -1.\nAnswer: -1, 0, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/8)\/((-4445)\/(-45720))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 3, j: 3, d: 3, e: 7}. Give prob of picking 2 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153622960 a multiple of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)*i*i*i**(-2\/15) assuming i is positive.\nAnswer: i**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4239979?\nAnswer: 4239979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i + 20, -2*y + 17 = -3*i. Let m be (6\/4)\/(y\/142) + -4. Suppose -5*l + 84 = -11. What is the highest common divisor of m and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*x**3 + 124*x - 44*x + 216*x - 81*x wrt x?\nAnswer: -474*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57969 (base 11) in base 7?\nAnswer: 465661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let f = 277 + -276.5. Which is the closest to 1? (a) -3\/7 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168068 and 210085.\nAnswer: 840340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2 - 12. Let b(y) = -2*y**2 + 4. Let d(u) = -237*u - 1654. Let k be d(-7). What is k*v(m) + 16*b(m)?\nAnswer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((-89)\/29 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2294*g - 4193 - 24417 = 24152 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.323 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 14 = -4*p - 0*m, 0 = 5*p - 4*m - 23. Let w be -1 + p + (-2 - 840000). What is w rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:05 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 363*f**4 + 1457 wrt f?\nAnswer: 1452*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 3) + (-5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**2 - k + 9. Let u be h(4). Let d = -11 - u. Let t = d - 83. Is t at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 plus -6736017.98?\nAnswer: -6735758.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzg when three letters picked without replacement from ffjgjzfgjjg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7653?\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 5*o)*(-6 + 6 + 18*o)*(1 - 2 - 1).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14020865671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**(2\/3))\/(v**(1\/2)\/v)**(4\/3)*(((v*v**1)\/v)**17)**(-32) assuming v is positive.\nAnswer: v**(-1616\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 3*f**2 + 0*f**2 - 2*f**2)*(12 + 0 + 12) as p*f + y + l*f**2 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 54.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 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: Is 6090 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*-1*sqrt(65)*2)\/(3*(sqrt(5) - sqrt(10)\/sqrt(2)) - (sqrt(125)*1 + sqrt(5))))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/33 + (-6)\/(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164717.\nAnswer: 7, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5 - 3, -5*a + 3*q = 14. Let o(p) = 25*p**2 + 89*p + 22. Let r(d) = d - 2. Let w(z) = a*r(z) + o(z). Solve w(j) = 0 for j.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*s - 2*s**3 + 2 - 401*s + 201*s to the form u*s**2 + r*s + j + c*s**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860489.\nAnswer: 7, 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 108 + 41)*(g + 0 + 0)*((0 + 0 - 2*g)*(-2 + 2 + 2*g) + (-5*g + g + 3*g)*(g - 4*g + 4*g)) in the form w + m*g**2 + i*g**3 + x*g and give i.\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2973 + -4632. Let x = -41 - g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 110101100101001010?\nAnswer: -110101100101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 100402 and 100404 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725070050?\nAnswer: 2, 5, 2887, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7531 + 3988. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*v + 357*v - 720 = 700*v. Calculate the least common multiple of 216 and v.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109.77 less than 3145?\nAnswer: -964.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3805 + -48172660039.\nAnswer: -48172656234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 40*b = 43*b - 22*b. Solve -4*q + 2*q + 6 = 4*u, b = 3*q + u - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 0 + 2*v + 3*v**3 - 7. Let x(s) = 3*s + 21 + 35*s**3 - 24 + 33*s**3 - 67*s**3. Give -2*q(m) + 5*x(m).\nAnswer: -m**3 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 12. Let p be n(-10). Is p*(-9)\/6 + 86 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 347, 628, 797, 836, 727, 452?\n\"Answer: -3*q**3 - 38*q**2 + 416*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.8 - -65.9. What is the third biggest value in 618, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -30, -35, -34, -27?\n\"Answer: 3*k**2 - 20*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*o - 938*o - 4*p = -11, 0 = -3*o + 4*p - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4300 + 4299. Which is the nearest to 3\/4? (a) 4 (b) p (c) -1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let w = o + -1. Let g be (-2)\/(-9) - (-2)\/36*-94. What is the nearest to -1 in 3\/4, w, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7136 divided by -1784\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n. Let h(y) = 44*y**2. Determine c(h(o)).\nAnswer: 396*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19880, -19885, -19890?\n\"Answer: -5*j - 19875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*p = -3*a - 7, 2*a = 2*p - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 905*d - 36837. Calculate n(38).\nAnswer: -2447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13399 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3862 and -9446?\nAnswer: 13308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8206050599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 + 2*b**4 + 20*b**3\/3 + 8*b**2\/3 = 0. What is b?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178295 divided by -3661?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -807, -809, -811, -813?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/185056836 and 31\/6?\nAnswer: 185056836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32525 or 422820\/13?\nAnswer: 422820\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5*44\/(-4620))\/((-4)\/42). Let -1\/2*m**2 - 1\/4*m + s + 1\/4*m**3 = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5034 divided by -2517?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*s - 8, -10 - 8 = -2*v + 5*s. Suppose -2*a = -5*z - 0*a + 198, -4*a - 168 = -v*z. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 4901?\nAnswer: 19604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpxxppcjpfppfpd. What is prob of sequence xccj?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34717266 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 5*f**4\/2 + 1033*f**2\/2 + 2*f - 214. What is the first derivative of t(n) wrt n?\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1009 + 14731*n**3 - 11482*n**3 + 3*n**2 - n**2 - 2*n**2 with respect to n.\nAnswer: 9747*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 + i + 9. Let f be p(-7). Suppose -2*n - 707 = -f*a - 3*n, 0 = 4*a + 5*n - 1405. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040 (base 8) to base 11\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcxx when four letters picked without replacement from lxcxlxlcxlllc?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 38728 = 2*g - 14740, 3*n - 3*g = 40101. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.236?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 6*k + k + (k + 6*k + 0*k)*(-2 + 3 + 0 + (4 - 4 + 2)*(1 + 0 + 0) + 2 - 3 + 0) to j + q*k and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose -5*w - n = -4*z, 2*z + 2*z - w - 7 = 0. Solve -z*b + 7 = -1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 15645392.\nAnswer: 46936176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 4*r - 5. Suppose 44*q + 20 = 48*q. What is k(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let f(b) = -4*b + 1. Let d be (12\/(-24))\/((-3)\/6). Determine d*f(n) - 6*z(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (14 - 18)) + -20 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -72*q**2 + 25*q**2 + 28*q**2 + 12 + 18*q**2. Determine p(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -36 - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 + 8*y**3\/3 - y**2\/2 + 11*y + 2. Let z be w(8). Suppose 147 = z*t + 33. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217872 and 893520.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97430?\nAnswer: 2, 5, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -698.06591 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*g**2 - 124*g**2 - 5*g + 4*g to the form b*g + z + r*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 1. Let i(b) = -b**2 + 8*b - 4. Let q be i(6). Let f be j(q). Suppose -r = 3*l - 41, 0 = 4*r - f*r + l + 73. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991634 to the power of 1\/2, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + -60080?\nAnswer: -600a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 32, 49, 60, 65, 64, 57?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1\/10*-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44022025 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3*7\/((-84)\/1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**4 - 2*r**3 - 21*r**2 + 4. Let c(x) = -24*x**4 + 3*x**3 + 42*x**2 - 7. Let o(i) = -4*c(i) - 7*m(i). What is the third derivative of o(g) wrt g?\nAnswer: 288*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/4, 225 in ascending order.\nAnswer: -3\/4, -0.5, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - n**2 + 2*n - 14. Let x(u) = -u**3 - u**2 - u + 1. Let r = 9391 - 9389. Give r*x(i) + q(i).\nAnswer: 2*i**3 - 3*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10923, 14876, 18843, 22830, 26843, 30888?\nAnswer: 34971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/24*3\/(-2). Suppose -i + 31 = -1. List the prime factors of (30\/(-24))\/(d\/i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3155 = s - 5*s, 2*s = 2*w - 1262. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 3*z - 6. Let u be l(5). Suppose 57 = i + u. Let m = -49 + i. Solve 15 = 5*d, m*k - 3*d = -14 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -113, 5 in decreasing order.\nAnswer: 5, -1\/6, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5678 - 4878. Calculate the greatest common factor of g and 1952.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/153, 2, -57, 0.0094, 2\/23 in increasing order.\nAnswer: -57, -2\/153, 0.0094, 2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 + 16 = 0, -3*h = 2*g - 4985. What is the greatest common factor of 100 and g?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3426.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 41454.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0068 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvn when three letters picked without replacement from {v: 7, n: 1, g: 8, j: 4}.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-2\/15)\/f)*f*(f*f*f**(3\/5)*f*f)\/f*f*(f\/f**(-3)*f)**(-13\/2) assuming f is positive.\nAnswer: f**(-743\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4227 + -4223. Which is the closest to 1? (a) -8 (b) y (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 2*n**2 - 5*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**5 - 3*q**5 - 4*q**5)*(0 - 3 + 2)*(-660 - 61 + 48)*(1 - 1 - 2).\nAnswer: 1346*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u + 281 = 4*j, j - 5*u - 66 = 0. Let s(i) = 4*i**2 + 4*i + 6. Let a be s(-5). Let v = a - j. Solve -5*z - v = -5*r, 16 = -5*r + 2*z + 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(9\/24). Let o = 8 + h. Determine d, given that -4*d + 2 + d + o*d**2 - 1 - 2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*z + z - 5*j, z + 3 = -j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 276205316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407 a factor of 527337595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*j - 34*j - 2*j**3 - 46*j.\nAnswer: -2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 119054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 - -2?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02955864226 rounded to four dps?\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2. Let h(i) = -9*i**3 - 18*i**2 + 42. Let c(d) = 18*a(d) - h(d). Differentiate c(t) wrt t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + 1*(sqrt(300)*1 + -5)))**2*-3.\nAnswer: -9072 + 3240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((16 - 12) + 42 + -1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*u - 1 = 0, -o + u + 1 = -0*o. Differentiate 2 - 3*c**4 + 0 + o with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*-1*((-45540)\/(-805))\/(-66)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/10 + -4 + (2 - -2). Determine b so that -5\/2*b**3 - 7\/2*b - r*b**4 - 9\/2*b**2 - 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 320 from -0.8.\nAnswer: -320.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.142 + 0.142. Let o be (0*9\/36)\/(-1). Which is the nearest to 0? (a) o (b) -1\/63 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, d: 2, n: 9, y: 1, t: 1}. Give prob of sequence md.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 0*i + 0*i + (5*i - 5 + 5)*(-5 - 1 + 4) - 5*i - i + 4*i)*(117 + 129 - 86)*(-3*i - 2 + 2) in the form u + g*i + x*i**2 and give x.\nAnswer: 7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c - 105. Suppose -19*x = -c*x + 10. What is the nearest to -1 in -2, x, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxdymqy. What is prob of sequence ymy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 238.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/597? (a) 3 (b) -4 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -30020?\nAnswer: -30010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227156 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 4\/9 (c) -1 (d) 5\/6 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 16*t**2 + 185*t - 38. What is the hundreds digit of k(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 9079?\nAnswer: 9073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - v + 0*v)*(-3 - 3 + 5)*(2 - v - 2 + (-3 + v + 3)*(4 - 2 + 0)) to h*v + a + t*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5105 a factor of 2634246365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1115432978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m - m)*(20*m**4 + 25*m**4 + 12*m**4 + 2*m**4).\nAnswer: -118*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v**2 - 1. Let i be b(-1). Let a be 5 + (-1)\/2*4. Suppose a = n - i*n. What is the closest to 2 in n, 0, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365*o - 233 + 5343 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 3, h: 5, t: 1, e: 1, j: 3}. What is prob of picking 1 c and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*l - 10465 = 0, 287 = f - l + 2372. What is f rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 203*a - 36139. What is s(-317)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/((-425)\/(-17)))\/((-20)\/(-4)))\/((-28)\/(-10))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h**2 - 1814*h - 4932. Calculate v(-98).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*v**3 + 364 - 180 - 60*v**3 - 184.\nAnswer: -292*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 81952.9, -4, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85358 and 469?\nAnswer: 85358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(100))\/sqrt(5))\/(2*(sqrt(4) - sqrt(8)\/sqrt(2)) + (sqrt(4) - (sqrt(4) - (sqrt(4) - (sqrt(4) + sqrt(36)\/(sqrt(81) - sqrt(9))))) - sqrt(4))).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 9) + 12 + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 49 + 29*a**2 - 29*a**2 - 3*a**3.\nAnswer: -2*a**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 3, e: 2, o: 1, w: 3}. What is prob of sequence ewzo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*s - 1564 - 7589 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-150 - -186 - (2 - -10))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, -61 in decreasing order.\nAnswer: 31, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -261*g + 4677. Give r(22).\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 694*o**3 + 8220*o**2 + 24552*o.\nAnswer: o*(o + 6)**2*(o + 682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r + 261. What is g(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -5.009?\nAnswer: -0.40072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7299007 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -321, -332, -43, 546?\n\"Answer: 150*h**2 - 461*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5 + 28*r**4 - 54*r**3 - 148*r**2 + 176*r = 0?\nAnswer: -2, 0, 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402771 = 55*o + 402386 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/8659960 and -17\/11257948.\nAnswer: 112579480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 224*g**2 + 437*g + 308. Give s(110).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 919409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3, -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -4*r. Suppose b + 5*s + 33 + 2 = 0, r*b = -3*s - 57. Let z = -10 - b. Solve -2*j + z*i - 1 = -0*j, 4*i = -5*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 113*d**2. Let c(t) = 2*t**2 + 1391 - 697 - 694. Give c(a(k)).\nAnswer: 25538*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z - 74 = 82. What is the lowest common multiple of 55 and z\/(-27) + (446\/(-18))\/(-1)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuuy. What is prob of sequence uyuy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5731 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: Solve 365*q - 322*q + 301 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822691 divided by 74.\nAnswer: -822691\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 8 + 20. Let h be (4 - (-3016)\/g)*116. What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 8*u**2 - 18*u**2 + 1 - 3 + (4*u - 4*u - u**3)*(-1 + 0 + 0).\nAnswer: -u**3 - 26*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 11. Suppose n = -9*n + 60. Suppose n*u - 8 = 2*u. What is the remainder when a(-5) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 3. Let j be n(-8). Suppose 0*z - 10 = -j*z. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ccd6d (base 14) in base 13?\nAnswer: -877029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 4 + 4)*(-q + 5*q - 2*q) - q - 3 + 3)*(274 + 2268 + 5903) to p*q + c and give p.\nAnswer: -42225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 2236\nAnswer: -76024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.6226 milliseconds in seconds?\nAnswer: 0.3556226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)\/s*s**3*s\/((s**3*s)\/s)*s**0)\/((s*s*s**(5\/2)*s*s*s)\/(s*s\/(s\/s**(-5))))**(-18) assuming s is positive.\nAnswer: s**(1451\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z - 5*z**3 + 172 + 70*z**2 - 85*z + 34*z - 86*z - 112 = 0. Calculate z.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -25\/52646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 12334 (base 5) to base 10\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 217. Let y = u - -107. Solve 3*c + 2*k = 6, y*c - 5*k - 31 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*423\/(-6)*208\/(-6). Let k = x + -285. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10960?\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppnppnnppp. What is prob of picking 2 p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -529, -528, -527?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**3\/3 + 4*v**2 - 10. Find the second derivative of m(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x**2 + x. Let r(y) = -5*y - 9. What is a(r(q))?\nAnswer: -475*q**2 - 1715*q - 1548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16624 - -16621. What is the nearest to -0.3 in k, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 10:46 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 371320*b**2*w - 10*b**2 + b - 6583 wrt w.\nAnswer: 371320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = -3*k - 0*k, -4*k + 4 = f. Let o = 33 - 23. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:46 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.566378 months in decades?\nAnswer: 0.23805315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*m**3 + 378 + 379 - 3*m - 762 to f + v*m**2 + n*m + l*m**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438510595?\nAnswer: 5, 19, 29, 159169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xpxxxxxx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) -769 (c) 4 (d) 35.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178.1 + 178. Let n = 13 - 14. What is the closest to t in 0.2, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-21168)*14)\/((-2)\/6).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -123?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 437 - 423 - (-1 + 20) - ((-22 - 3) + 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113\/4 + -24. Let w = -19\/4 + g. What is the closest to w in 0.1, -3\/8, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 10\/7 (c) -2\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -492 + 490. What is the closest to 20 in -0.3, t, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**6 - 1128*t**4 + 73791*t**3 + 82664*t**2 - 8*t + 18.\nAnswer: -240*t**3 - 27072*t + 442746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4\/3, 325, 1\/17?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-18)\/((-1242)\/15).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24611 to three decimal places.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -16, 2, -5 in ascending order.\nAnswer: -16, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 362474 and 18207?\nAnswer: 55458522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2706.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = -12, -2*r = -g + 698. Round g to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3 = -4. Solve 0 = -m + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k**2 - 12*k + 1. Let l(w) = -37*w**2 - 37*w + 4. Let f(s) = 8*c(s) - 3*l(s). Determine f(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32a8b + -867?\nAnswer: -33736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 88 = -3*s - 12, 4*s - 60 = 5*b. Let d be 2\/11 + s\/(-110). Suppose d = 3*a - a. Is 1\/9 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 2*w = -22, 0*n - n - 22*w = -7*w - 41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.08 (b) 1 (c) 2\/15 (d) 11105\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2606963 to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b + 1. Let p be 20\/(-7)*84\/(-24). Suppose -2*o + p = 4*v, 3*v + 0 - 15 = -4*o. Suppose -o*u = -22 + 7. What is x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/1*(2 + -1). Suppose -s + 96 = 3*s. What is the greatest common divisor of q and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let r = 21 + i. Suppose -4*u + 0*u = -48. What is the remainder when r is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -9*v**6\/10 - 4*v**4 + 40*v. What is the third derivative of c(w) wrt w?\nAnswer: -648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5953678?\nAnswer: 2, 47, 63337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/14, 11, 1\/3, -29\/4, -2, -1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + l - 1. Let z(v) = 2*v. Let g be z(-1). Let f = 3 + g. Give a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10149*h**3 - 2 + 2 - 10141*h**3 + 20288*h**3 + 20*h.\nAnswer: -2*h**3 + 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -13. Let f = 23 - c. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10168.\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 11, -6, -45, -112?\n\"Answer: -u**3 - 2*u**2 + 12*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.82 + 1.52. Let x = z + 12. Let r = x + 3.3. What is the biggest value in r, -0.3, -2\/5, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s + 17*s + 11 - 9*s - 36. Let n be a(-4). What are the prime factors of (2 - -21)\/(n\/21 - 0)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 - 243 - (-29 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.97 take away 22496?\nAnswer: -22505.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8424.805 millilitres to litres.\nAnswer: 8.424805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/16 and 77\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxaxaaxxxxaxaaxaaxxa. What is prob of sequence ax?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247330?\nAnswer: 2, 5, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 0*x**3 - 4 - x**2 - x**3 + 5 + 0*x**3. Suppose 2*g = -g. Suppose -4 = a - g. What is c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 2 - 3 - -12. Suppose 0 = 3*m, 4*u - z = -2*m + 11. Suppose 2*n = -5*w - 29, 5*n - 2*w + 25 = -u*w. Sort -5, -4, n in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-17)*f*f*f**5)**(2\/7))**(1\/5) assuming f is positive.\nAnswer: f**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10417, 10035, 9399, 8509?\n\"Answer: -127*h**2 - h + 10545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -o - 29, -5*d - 3*o - 36 = -149. Solve 4*w + 4*y - 20 = 0, 5*w - 5*y + d = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-5*sqrt(300) - sqrt(300)) + sqrt(300))\/sqrt(5)*-4)\/(sqrt(1728)*-2*1 + sqrt(1728)).\nAnswer: -5*sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -66*c**3 - 2*c - 1. Suppose 85*t + 16 + 69 = 0. Calculate i(t).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14442 divided by 20?\nAnswer: -7221\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 183431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 799833143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/132 and -115\/6372.\nAnswer: 70092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - 42*m + 3*m**2 - 44*m + 5 + 157*m - 36*m - 38*m. Let q be r(0). Solve -11*n + q + 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 976?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 8. Let z(h) = -11*h**3 - h**2. Let y be z(1). Calculate the smallest common multiple of 28 and s(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t + 130. Calculate the remainder when 51 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003162 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34926*a*l**2*y + 3*a*l**2 + 14496*a*l*y - 2*a*y**2 + 47*l**2*y**2 + 108*l*y - 3*y**2 wrt l.\nAnswer: -69852*a*y + 6*a + 94*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:26 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*c - 12, 0 = c - 0*c - 4*z + 12. Suppose 4 = -a + 3. Let w = c - a. Sort -1, w, -5 in decreasing order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2*10\/8*(-1056)\/440\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -380b3a - -2?\nAnswer: -380b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g + 20. Suppose -3*m + 5 = 2*m - g*y, 5*y = 4*m. Solve 0 = -5*q + 4*f - 10 - 17, -m*q = 2*f + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 10:44 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018885 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19245?\nAnswer: 3, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21149 (base 10) in base 16?\nAnswer: 529d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**0\/c)\/c)\/(c\/c**(-1)))\/(((c*c\/(c**(-4)\/c)*c)\/c*c*c*c*c)\/(c**(5\/3)\/c))*(c**(-2\/11)\/c**0)\/(c*c\/c**(-1\/3)*c)**(-3\/31) assuming c is positive.\nAnswer: c**(-12473\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -140*-49*(-14)\/(-4361)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/(-6) + -3)\/(17\/(-34)). Let z = -0.02 - 0.48. Which is the fourth biggest value? (a) l (b) -3 (c) z (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let l be (6 - 0) + j + -6. Find the second derivative of y + l + 3*y**3 - 4 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 2 + t**3 - 1)*(-36*t - 102*t - 21*t) + (-t - 2*t + 5*t)*(t**3 - 5*t**3 + 2*t**3).\nAnswer: -640*t**4 - 159*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -33*d - 160. Let s be b(-5). Solve 2*v - r + 18 = 3*r, s*r = 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1 + 8 + 12*o - 5*o. Let a(w) = -13*w - 17. Suppose 0 = 19*c - 17*c - 2*y - 2, -20 = -4*y. Give c*a(k) + 11*q(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 8*t**2 + 2*t - 6. Let r(c) = c + 1. Let o be r(3). Suppose 24 = -i + o*i. Is m(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 3*a - 17 + 5 + (2*a - 1 + 1)*(3 + 1 - 2) + 2*a + a - 5*a + a + 3*a - 5*a - 3 + 3 + a + 5*a - a - 3*a.\nAnswer: 7*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 542645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17 - -9) + -3 - (-2 + 0)) + -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 4*b**2 - 102 + 3*b + 102 in the form o + f*b + a*b**2 + y*b**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(4*sqrt(28) - sqrt(28)) - (3 + sqrt(300))*-6)**2.\nAnswer: 2166*sqrt(3) + 134209\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 7 = -5*u. Suppose 3*d = 3*r - 1326, 728 = 2*r - u*d - 147. What are the prime factors of r?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130223 + -13?\nAnswer: -130302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/40 + 615\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 0*k**3 + 8*k**3)*(-1 + 5 - 6 + 61*k).\nAnswer: 305*k**4 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 13. Calculate the least common multiple of 5 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ougoutftogmmmtu. Give prob of sequence mgmf.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18a1 + -12?\nAnswer: 188e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 + 12*a - 4. Let g be y(5). What is the tens digit of g\/(-42)*(-366)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k - 1. Let y be k + -1 - (2 + -2). Suppose -y*o + 27 = -21. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 2. Suppose -5*s + 3*l + 57 = 0, 2*s + l - 29 = -4*l. Let w be (s\/4)\/((-3)\/3). Which is the closest to q? (a) -0.2 (b) w (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2834 + 2854. Solve -y = -71*d + 66*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 3. Let y be k(0). Let l(b) = -2*b - 3*b**3 - 9 - 4*b**2 + 12 + 4*b. Does 21 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 18*w + 120 = 0. What is the greatest common factor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/((-78)\/780).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210 - 210 - 14*q)*(2*q + q - q + (-2*q + q + 3*q)*(-3 + 4 + 0) + q + 2*q - 19*q).\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*h**4 - 6209*h**3*s - 43*h**2*s + 29*h**2 - 93*h + 2*s + 2 wrt h?\nAnswer: 2808*h - 37254*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = 0, 4*o + o + 3*s = 11519. Suppose 4730 = 6*q - o. What is the units digit of 3\/(-15) - q\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-9)*(27\/(-3))\/(51\/34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k + 4*k + 0*k - 2*k as y*k + s and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -249170 divided by -5\nAnswer: 49834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 234*q**2 = 0. What is q?\nAnswer: -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20201238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 1, w: 5, e: 1}. What is prob of sequence eww?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.8 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121 - -1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172564421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182212275*u**4 + u**3 + 4250532*u**2 - 81.\nAnswer: -4373094600*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88352.54 milligrams?\nAnswer: 88.35254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 30*d - 1 + 1.\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 25. Let s = -17 + i. Is (-1)\/((8\/(-26))\/s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65220 - 46894 = -1933*p for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 49869\nAnswer: -31\/49869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14595883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17406 and 35910.\nAnswer: 34724970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40470019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765 - -768. Solve 3*i + 5*w = 14, -q*i + i + w - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 13*z + 2*z**2 - 4*z to the form r*z**2 + w*z + m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 7*x**3 + x - 13 - 6*x**3 - 4 to j*x**2 + r*x**3 + n*x + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 783857*y - 1567710. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 18*f**2 - 2*f + 32. What is x(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g + 4*g**3 + 18*g - 27*g + (3*g - 5*g + 3*g)*(-3*g**2 + g**2 + 0*g**2).\nAnswer: 2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 351\/12 - 3\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 0 - (-4 - -3). Suppose -2*a + 2 + i = 0. Let p(r) = 2*r**2 + r**2 - 5*r**3 + a*r**3 + 2*r**3 - 2*r. What is p(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*q**2 + 150*q**2 + 3*q**3 + 0*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254902 - 88.3325.\nAnswer: -254990.3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/45 or 119514?\nAnswer: 119514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -0.8899208.\nAnswer: 3.1100792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - -2. Suppose b = -2*l + 3*l. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (sqrt(132) + (sqrt(132) + 1*sqrt(132) - sqrt(132))*-5)))\/((sqrt(96)*1)\/sqrt(8)) + 4.\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2. Let m(o) be the first derivative of o**2 + 3*o - 4. Let h(z) = -4*z - 5. Let k(n) = -3*h(n) - 5*m(n). Determine i(k(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5 - (5 + (-2544)\/530). Factor 3\/2*t**3 + r*t + 0 + 9\/4*t**4 + t**5 + 1\/4*t**2.\nAnswer: t**2*(t + 1)**2*(4*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1651014 and 54471?\nAnswer: 447424794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7731 to the nearest one hundred.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-7)\/(63\/(-15))). What is the nearest to -27 in 1, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 16*o + 0*o**2 - 5*o**2.\nAnswer: -5*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28959, -57535, -85711, -113487, -140863?\nAnswer: -167839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueqqzzzqzfvqfv. What is prob of picking 1 q, 2 f, and 1 z?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -33. Calculate the common denominator of 115\/36 and (-1)\/(h\/106*(-2 + -7)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 5651*a - 5651*a + 0*a**2 - 108*a**3.\nAnswer: -108*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.57 + 99.97. Let d = -28.7 + q. Let j = -68 + d. Sort -3, 0, j, 0.14 in descending order.\nAnswer: 0.14, 0, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 50.000006. What is i rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y - 4. Let p(g) be the first derivative of g**3 - 5*g - 4 + 3\/2*g**2. Let u(d) be the first derivative of p(d). What is 4*r(x) + 5*u(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niniinninniiinniinn. Give prob of picking 1 i and 1 n.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 2*s, -q + 5 = s + 3*q. Suppose -h + 3 = -y + 6*y, -15 = y - s*h. Solve y = -4*j - 0 - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c - 25550 = -0*c, 2*j - 5*c = 12805. Let n = 41542\/159 - 16934029\/2544. Let y = j + n. Find the common denominator of -57\/14 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2120 + -10?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 at most 709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4 - 6. Let l = -40 - -52. Suppose -15 = -l*v + 21. Solve -v*t - 4 = o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110 + 111100?\nAnswer: 100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1 - 8 + z + 1 + 0*z. Let u be h(6). Which is the second smallest value? (a) u (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 + 113.8. Let s = m - -11. Let c = 64\/3 + -22. What is the nearest to c in 13, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 3*t + 3*t. What is the highest common divisor of 416 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1523445 by -19785.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let l(h) = 3*h - 1. Let u(f) = 3*l(f) + 4*x(f). What is u(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = 5*k - 1059. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/129 + 253\/645. Suppose -2*b + 35 = -5. Let o be (-3)\/35 + (-4)\/b. What is the closest to a in -2\/9, -1, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28863393613 and -0.81.\nAnswer: -28863393613.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:18 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/48 + 529*a**3\/24 - 265*a**2\/4 - 91*a - 2. What is h in d(h) = 0?\nAnswer: -530, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469 - 466. Which is the smallest value? (a) 2\/15 (b) o (c) 0.12 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549 - 347464744042.\nAnswer: -347464744591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 894, 892, 890, 888?\n\"Answer: -2*f + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 13*h - 17*h - 41812 = 0, -41803 = -4*i + h. Suppose -i = -2*s - 9*s. What are the prime factors of s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 180 = 3*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 14, 9, -10, -49, -114, -211?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 13*j + 7. Let b = -19 - -11. Let d(h) = -5*h**2 + 38*h - 20. Let l(v) = b*z(v) - 3*d(v). Let p be l(-10). Solve p*c + 4 = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(-2)*0\/(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527160360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3354\/8 + 4 + (-12)\/(-16).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let f be g(0). Let k = f + 5. Find the second derivative of -6*y**k - 11*y + 3*y**4 + 8*y wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197.2 + 171. Let o = -13.2 - y. What is the biggest value in 2, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d**2 + 28*d**2 + 44*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 72*m**2 + 59*m + 3. Is v(50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/12 - 1\/(-18)*10119. Let u = p + -419. Calculate the greatest common factor of 192 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 83\/3 - 2\/3. Let q = 19 - m. Let y = q + 15. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 17*s - 13*s in the form h + b*s and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -36577399.86 to the nearest ten thousand.\nAnswer: -36580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 - 2. Let o(q) = 57 + 68 + 21*q**3 - 37*q**2 - 139 + 8*q. Let g(b) = 2*o(b) - 22*p(b). Factor g(u).\nAnswer: 4*(u - 2)*(u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32553 + -10643. What are the prime factors of g?\nAnswer: 2, 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-2)\/108)\/(8\/60).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*m = 122*m + 16695. Let r be 2\/11 + m\/(-385). Solve -11 + 1 = -k - 3*s, k - 2*s = -r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11801201 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 344975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2067 divided by -3\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003994397232 to 6 decimal places.\nAnswer: -0.003994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.2 * -0.097935.\nAnswer: -2.859702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (342*s - 342*s + 2*s**3 + (-2*s - s - 24*s)*(-7*s**2 + 1 - 1))*(s**2 + 2*s - 2*s).\nAnswer: 191*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 9}. What is prob of sequence nn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -2\/3 (b) 2\/9 (c) -7\/150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -29. Let a(x) = -2*x**2 + 19*x + 2. Let b(z) = z**2 - 10*z - 1. Let r(w) = d*b(w) - 3*a(w). What is r(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 10:13 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -703*o**2 - 2*o - 2. Let k be b(-1). Let x = k + 1146. List the prime factors of x.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**4 + 2*v**2 - 521682*v - 12818935 wrt v?\nAnswer: 12*v**3 + 4*v - 521682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5823 + -6100.1. Let c = -291 - k. Let b = 17 + c. What is b rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1908 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 11*n**2 + 11*n + 10. Let y(h) = 5*h**3 + 44*h**2 - 45*h - 39. Let r(g) = 9*x(g) + 2*y(g). Let u be r(10). Solve v = -u - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/((-15)\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91676, -86300, -80908, -75494, -70052, -64576?\n\"Answer: r**3 + 2*r**2 + 5363*r - 97042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18965 - 18961. Solve -16 = 2*m - 0*c + h*c, -3*m - 3*c - 18 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsd when three letters picked without replacement from {v: 1, m: 1, s: 2, e: 1, d: 3, a: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12\/a*a**(3\/10)*a**(4\/9)*((a**(-10)\/a)\/a)\/a*a assuming a is positive.\nAnswer: a**(-23\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-9)\/12*-4. Let b(o) = -2 + 16*o**2 + 11*o**2 - 28*o**2 + x*o**3. What is the tens digit of b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -217 + 247 - (77 - 1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.93761 months in years?\nAnswer: 17.6614675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-4)*384\/(-2976)*-31.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16)*-2)\/(3\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11 + 16*t**3 - 1 - 13 + 6 wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2142)\/756)\/(5\/60)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:47 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 13)\/((-6)\/(-3)). Let k = 14 - l. Let m(x) = x**3 - 8*x**2 + 2*x + 36. Let a be m(k). Solve -v + 0*v = a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a micrometer in nanometers?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14125 - -14612. Calculate the remainder when z is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in 1.2, -0.16, -1\/8, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**3 - 22*i**2 - 4*i - 11. Let j(z) = -3*z**3 + 7*z**2 + z + 4. Let q(g) = 6*c(g) + 17*j(g). Does 32 divide q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-187))\/(5\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -5*w**2 + 114*w - 2194. Let n(l) = 7*l - 76. Give -5*a(q) - 7*n(q).\nAnswer: q - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 210300 (base 6) in base 7?\nAnswer: 100302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/1527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 306 and 0.06471.\nAnswer: 19.80126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 - 179. Factor -833*x**3 + 403*x**q - 30*x**2 + 403*x**3 + 3*x**4.\nAnswer: 3*x**2*(x - 10)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + m - 8. Suppose -5*o + 2*o = -3*n - 24, 5*o = -2*n + 12. Suppose 2*v = 2 + o. Suppose 0 = d - v*d. Calculate s(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Let c be ((-20)\/(-25))\/(s\/(-10)). Is c greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 3*c**2 + 8*c - 11. Let s be t(4). Let w(p) = -p + 9. Let z be w(5). Solve f + z*f = -s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = -3*l, -3*l + p = 5*p - 21. Suppose f - l = -0, 0 = k + 2*f - 10. Suppose 17 = k*z + 5*y + 2, 2 = z + 3*y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27500 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.626825377 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 68*u + 71*u = 17, 0 = 15*z + 3*u - 33 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12950 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 48\/28)\/((-2)\/4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 37 + 2*q + 7 to i*q + p and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9962 - 9966. Is -87\/20 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 13*n + 12. Let c be ((-2)\/(-5) + n)\/(4\/20). Let q = -6 - c. Solve q*o + 3*v = -3*o, -25 = 5*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Let u(i) = -i**2 - 5*i + 30. Let t be u(-7). Solve n*l + l = -t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 8*q - 6 = 0. Suppose -105 = -5*l - 0*l. Suppose -l = q*r - 3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/10))\/m*m*m**(-1)\/m*m*(m*m\/(m*m**(-3\/5)*m))\/(m*m\/(m\/((m\/(m**(-2\/23)*m))\/m))))**(2\/3) assuming m is positive.\nAnswer: m**(19\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = -25 - 87. Solve -54*y = -52*y - a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1632 and -9\/16.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 10. Let t be b(8). What is the units digit of 2\/(-6) + (-24)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**6\/180 + k**5\/45 - k**4\/36 - 2*k**3\/9 + 5*k**2 + 1. Let s(q) be the second derivative of v(q). Factor s(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.05941 to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -343, -495, -633, -751, -843, -903, -925?\n\"Answer: a**3 + a**2 - 162*a - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365230, 730545, 1095860, 1461175, 1826490?\nAnswer: 2191805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 2652, 4, 1\/48, -1\/7, 3?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1122 + -1?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 2*g + 4. Let u be (0 - -1)*1 - -5. Let r be 4\/(-6) + 28\/u. Determine c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5458 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let b be y(-7). Let z = b - 11. Suppose 35 = 2*i + z*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 2214?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 + 37. Let q(o) = 7*o**2 + 37. Suppose 0 - 12 = 3*j. Let l(d) = j*q(d) + 5*b(d). Find the first derivative of l(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/42783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 42. Suppose 45*g = 51*g + 162. Let m = h + g. Solve -7 - 5 = 3*k - s, m = 3*k - 5*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 529 - 509. What is the lowest common multiple of n and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20805.66 times 1.6\nAnswer: -33289.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:26 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*b + 4*j, 8 = -b + 5*j - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((-3)\/(-1) - 2). Suppose b = h - m - 5, -h + 3*m = -0*h - 5. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(204) - 1*sqrt(204)) + sqrt(204) - sqrt(204))*-4*2)\/(sqrt(1452) + sqrt(1452)*-2*-3 - sqrt(1452)*-1*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388*u**2 - 4 - 20893*u**2 + 4.\nAnswer: -22281*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -320*l**3\/3 + 3059. Let b(a) = -4*a**2. Calculate h(b(o)).\nAnswer: -5120*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4815*z**3 + z**2 + 2*z + 458 wrt z.\nAnswer: -28890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3+173700638903\nAnswer: 173700638906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3582 and 23383694.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + y + 973. Determine s(32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + m**2. Let r be x(-1). Let h = 12\/55 + -2\/55. Which is the closest to -1\/3? (a) -1\/7 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -27*m**3\/4 - 121*m**2\/6 + m\/3 - 208. Factor v(i).\nAnswer: -(i + 2)*(243*i - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -80 + 130*d - 121*d + 13. Let c be k(16). What is the greatest common divisor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x - 5. Let d be y(1). Suppose -3*q = 5*i + d - 73, i = -5*q - 10. Calculate the highest common factor of 20 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*5*(2*(0 + sqrt(108)) + sqrt(108) + 5)*2)**2.\nAnswer: 648000*sqrt(3) + 3589199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylumy. Give prob of sequence yl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(3\/(135\/(-60)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2. Let r(i) = -80*i - 3*i**2 + 80*i + 2*i**2. Calculate c(r(o)).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17537341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78434*g**2*y**2 + 2*g**2*y + 129*g**2 + 16*g wrt y?\nAnswer: -156868*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13037 + -3680. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 93. Let k = 47\/3 - 14. What is the biggest value in k, t, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650029319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 28*s**2 + 7*s - 538. Let z be y(-27). Let u = 2 - 2.1. Put u, -5, -0.2, z in ascending order.\nAnswer: -5, -0.2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 3)\/((-2)\/4). Let m = 1 + c. Let l be ((-9)\/m)\/(0 + -1). Solve -l*k = k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112743?\nAnswer: 3, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 302627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.55 + -0.25. Let w = n - 0.8. What is the third smallest value in 0.2, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/(n**(-6)\/n))\/(n**(-1\/4))**(3\/32))\/(n**(3\/8)*n*n**(-3\/2))**(2\/67) assuming n is positive.\nAnswer: n**(439007\/60032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 5. Let x be n(-4). Suppose p + 2*p = -4*y - 20, x*y = 5*p - 15. What is the smallest value in y, -0.1, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 + -175. Let p(a) = a**2 + 12*a + 7. Give p(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -260 greater than or equal to 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -76, -25, 46, 137, 248?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 21*g**2 + 11*g - 6. Let m be l(10). Let v be m + -2 - (0 - -1*2). Solve v = -3*a - 14 + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -2*d**3\/21 - 18*d**2\/7 - 16*d + 2289. Find j such that t(j) = 0.\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (175\/(-20))\/(1\/12). Is 11 a factor of (924\/q)\/(4\/(-170))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49065276 divided by -10634\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 34*k**2 - 3*k + 4. Let p(d) = 11*d**2 - d + 1. Let z(t) = 2*g(t) - 7*p(t). Let y(n) be the first derivative of z(n). Is y(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 20*t**2 + 2. Determine a(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 22. What is the second biggest value in z, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2588 = 5*h, 832*h = -5*d + 835*h + 3198. Calculate the remainder when d is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyb when four letters picked without replacement from lyllbblylllybyddlyl?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -33. Suppose -4*f = -2*q + 14, 8*q - 3*q = 5*f + 10. Let n = q - -3. Solve 0 = h - 5*w - j, 2*h + w - 5*w - 12 = n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*l**2 - 131*l**2 + 3*l**4 - l**4)*(-11*l - 19*l + 94*l) + (1 + 3 - 3)*(l**2 - l**5 - l**2) + 0*l**5 + 3*l**5 - l**5.\nAnswer: 129*l**5 + 320*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97\/11*i**2 - 1\/11*i**3 - 14175\/11 - 2655\/11*i = 0 for i.\nAnswer: -45, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 6:11 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2079522 and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 484645370 to the power of 1\/3, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 2\/7, -11\/5 in increasing order.\nAnswer: -11\/5, -1.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 31. Let h be i(7). Let u be 21*h*(-10)\/45. Suppose -3*o - u*o = -2397. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1750.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -2394, 5 in decreasing order.\nAnswer: 5, -64, -2394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 259.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.8 + 0.2. Let a = x + -6. Let v(k) = -k**2 + 5*k + 6. Let p be v(6). Sort a, p, 1 in descending order.\nAnswer: a, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38165*i**3 - 61481*i**2 + 2*i wrt i?\nAnswer: 228990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -7 + -1 + 1. Let l = m - -12. Differentiate 14 - 9 - 3 - l*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-874)\/76)\/((-2 + (-19)\/(-7))\/(192\/672))?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21))\/((-37714)\/(-2422)).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5)\/g)**(-8))**50 assuming g is positive.\nAnswer: g**2000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -853042099*q**3 - 18672918*q**2 wrt q.\nAnswer: -5118252594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 32. Let x = -10 - -14. Suppose -36 = -0*s - x*s. What is the remainder when n is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23516766.5 - 23516749.5000017. Let s = -43 - -60. Let h = m - s. What is h rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68892 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r. Let p(s) be the second derivative of -s**4\/12 + 162*s. Give t(p(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r\/(r**43*r)*r))\/(r*r*r*r**(3\/4)) assuming r is positive.\nAnswer: r**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + j**3 - 3*j**3 + (-1 - 2 + 2)*(-3*j**3 + 2*j**3 + 0*j**3) + 4*j**3 - 6*j**3 + 6*j**3 + (-2*j - 1 + 4*j - 2)*(-26*j**2 - 13*j**2 + 18*j**2).\nAnswer: -35*j**3 + 63*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 1, j: 1, t: 10, b: 2, k: 1}. Give prob of sequence rd.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 10) to base 15.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jclc when four letters picked without replacement from {l: 4, c: 1, j: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -172157, -344315, -516473?\n\"Answer: -172158*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 868 and 364?\nAnswer: 11284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72680311?\nAnswer: 11, 6607301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 797 + -54995\/69. Are a and -0.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 2 o when four letters picked without replacement from ossaoxxtsxttotjtx.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13878 and 528906.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 49 + 149 = 2*y, 4*l - 260 = -4*y. Suppose 36 = -3*n - y. Let h be (3\/6)\/((-4)\/n). Solve 4*v + p + 6 = 0, -3*v + 0*v + h*p - 14 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 6*b**2 + 2*b - 2. Let x(z) = 4*z**3 - 6*z**2 + z - 1. Let t(p) = 3*q(p) - 2*x(p). Let r be (5\/(-2))\/((-242)\/484). Give t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178126038.\nAnswer: 2, 3, 43, 230137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/37*(-3)\/2). Let d = -24 + x. Let h = -104 - -102. What is the third biggest value in d, -1.2, h, -0.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68\/11 - -6. Which is the fifth smallest value? (a) 1\/3 (b) 2\/3 (c) 0.5 (d) z (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*b**5 + 7*b**3 + 373*b**2 - 2?\nAnswer: -1080*b**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*b**2 - 18*b + 2 = 0. What is b?\nAnswer: 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + sqrt(275)*1)*2)**2 + (2 + sqrt(275) + 0 + sqrt(275) - sqrt(275))**2 + -3.\nAnswer: 20*sqrt(11) + 4676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6281 - 4959. Is 1321 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 40. What is the nearest to 2\/7 in z, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**3 + 199*b**3 + 3 + 2*b + 6*b**2 - 4*b**2 - 100 + 190.\nAnswer: 176*b**3 + 2*b**2 + 2*b + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**3 + 7*m**3 - 3*m**3 + (2 - 4 + 1)*(45*m + 2*m**3 - 45*m) + 1 - 1 - 2*m**3 + (0 - 1 + 2)*(-3*m**2 - m**3 + 3*m**2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-22 + 10 + 1907)*(-54)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 7. Suppose 0 = w - f + q + 2, 1 = -3*w + f. Let r(a) = -w + a + 1. Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 4, 2\/81 in ascending order.\nAnswer: -17, 2\/81, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58*6\/60)\/((17\/17)\/(60\/(-6))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 8*m - 780 = 19*m + 34*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 31 = 20. What is the second derivative of -75*k**2 - 21*k - 19 - i*k + 40*k wrt k?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.5 - 17. Let g = -0.19 + 13.19. Let b = g - 8. Put b, x, -1\/6 in increasing order.\nAnswer: x, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 48*v**2 + 100*v**2.\nAnswer: 140*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11749699, 23499408, 35249117, 46998826, 58748535?\nAnswer: 70498244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6 + 2*w**3 + 2*w**3 - 5.\nAnswer: 4*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9\/8*(-50)\/75\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5563, 11143, 16723, 22303, 27883?\nAnswer: 33463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*(-3)\/(-12). Let u = 63688\/11 - 5790. Let h = 28\/9 - 34\/9. Which is the nearest to v? (a) -3\/8 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3743.224 hours?\nAnswer: 13475606.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*-1*(-1*sqrt(2057) + sqrt(2057)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 121 = -0*p - p, 5*i + 665 = 5*p. Suppose 2*l - p = 4*v, 3*l - 6*l + 205 = 4*v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + (8 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252 + -246. Let q(i) be the first derivative of 0*i**5 + 0*i - 4 + 0*i**2 + 5\/3*i**3 + 1\/2*i**a + 0*i**4. Find the third derivative of q(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:59 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(2 - (-3)\/(-6)). Let h(i) be the second derivative of -i**3\/6 - i**2\/2 - 4*i. Let j be h(b). Solve 5*l = z - 10, -4*l = -j*l + 4*z + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + 7*8\/42*3. Let h(j) = -20*j + 66. Let m be h(c). Calculate the greatest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.054, 3, 14?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 0.7. Let a = 888 - 886.958. Let u = m - a. What is u rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**3 - 4*y**2 - 4. Suppose -5*x = -5 + 25. Let k(v) = -v**3 - 1. Let z(u) = -12*u**3 + 5*u**2. Let w(m) = 5*k(m) - z(m). Determine x*w(i) + 5*g(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6250 - 6238. Solve 3*t + m = g, -2*m - 9 = -22*t + 17*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16756133 + 3?\nAnswer: -16756130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:22 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c + 28*c + 19*c - 86*c + 22*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24329403.\nAnswer: 3, 7, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -74?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-4) + 2\/(-8). Suppose -8 = h - q*d, 4*h - 53 = 2*d + d. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*f**2*m**2 + 7*f**2 + 10*f*m**3 wrt m.\nAnswer: -22*f**2*m + 30*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k - 2*k - 4*k. Let m(g) be the first derivative of -47*g**3\/3 + 852. Give c(m(y)).\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 205169 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -4 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.71 + -1.7. Let n = 0.9899862 + o. Round n to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/((-30)\/50). Let k = -4.3 - -0.3. Suppose 5 = 5*w - 0. Which is the second smallest value? (a) s (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73046*k**2 - 24373*k**2 + 494 - 24387*k**2 - 24371*k**2)*(1 + k - 1) to the form s*k + c*k**3 + i*k**2 + z and give c.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334 - -781. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 291*g - 287*g + 3*j, -36 = -4*g + 4*j. Solve 63*x = 70*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 2. Suppose -5*v + 2*g = -33, 0 = -3*g - 13 + 1. Suppose -v*b + 392 = -148. What is the greatest common factor of w and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*w - 480*w = 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1573) + (sqrt(1573) + 0)**2 + -3 + 3) + -4 + (1*sqrt(1573) + 2 - sqrt(1573) - sqrt(1573))**2 + 4.\nAnswer: -11*sqrt(13) + 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:02 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 184, 369, 554, 739, 924, 1109?\n\"Answer: 185*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60783658?\nAnswer: 2, 13, 167, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 444929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2063, 4256, 6381, 8438?\nAnswer: 10427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -23*a**3 + 2*a**2 + a + 2. Let m be q(-2). Suppose m = -2*p + 6*p. Let l = p + -27. What is the remainder when 36 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6453408342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*t = -5*j - 251*t - 26 + 8, -10*t - 24 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 2*u**2 - u)*(-3*u - 11 + 11)*(3*u - 13*u - 2*u) + (1 - 5 + 1)*(2*u**4 + 0*u**2 + 0*u**2) as x*u**4 + s*u**3 + d + k*u**2 + q*u and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17756 and 965?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/4 + 140441*y\/2 - 19723674481\/4 = 0.\nAnswer: 140441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127\/82 + 2\/41. Let n = 2904.4 + -2904.6. Which is the biggest value? (a) k (b) n (c) 10\/9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4064 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:38 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -14*v - 15. Suppose -h - v*s = 2, h - 5*s - 7 = -s. Let k be (h\/27*-3)\/((-2)\/(-78)). Is -13 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 15 - r + 2*r - 6*r to the form j + z*r and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-2 - 3)) + -1. Suppose -v + 4*w = -12, 4*v - 2*w - w - 22 = a. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/6*(-19 + -3 + 31) + -10)*1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/36*2\/12. Which is the closest to 1? (a) -3\/8 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -8*m + 240. Let g = m - 18. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3*x**2 - 5*x - 5. What is z(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -56.1. Let y = h - -1.1. What is the nearest to -2 in -0.1, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 15691269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 65, 34, -31, -142, -311, -550?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4570, -2\/17, -1\/23 in increasing order.\nAnswer: -4570, -2\/17, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h. Suppose -3*d - 2*v - 2 = 0, -3*v - 3 - 1 = 4*d. Suppose -2*s + 1 = -4*i - 11, -2*s - d*i = 0. Determine j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjw when three letters picked without replacement from {j: 5, v: 1, i: 6, w: 6}.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/32835 >= 41\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 284 = 79 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45732.\nAnswer: 2, 3, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 617 - 614. Solve -4*f + 3 - 8 = -5*b, -s*f = 3*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 20*o**3 - 6*o**2 - 280*o + 392.\nAnswer: 2*(o - 2)**2*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1468 + -1451. Calculate the remainder when 848 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3650 and 1099.\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + h - 2 = -0*z, -h + 2 = 5*z. Let q(j) = j**3 - j**2 - j + 21. Let u be q(z). Suppose 5*l - u = -1. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -3508714?\nAnswer: -3508705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139102\/29 greater than 4798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -83578, -83553, -83526, -83497?\n\"Answer: l**2 + 22*l - 83601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -4*l**3\/3 - 34*l**2 - 8*l + 310. Give m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*a - 8, -8*b + 6*b - 5*a = 10. Let x(i) = 42*i + 23. Does 39 divide x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7127812787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - -34?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308964875 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*j + 1 = 5*j, 0 = -5*g - j + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) -14 (c) 7 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899592560 is divided by 3057?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4 + 0*r + 1 - 5*r. Suppose 3 + 11 = -2*x. Let c(t) = 29*t + 55. Let j(u) = -25*u - 42. Let k(g) = -4*c(g) - 5*j(g). What is x*v(y) - 4*k(y)?\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 405\/952 - 6\/119. Let g = -6.2 + 0.2. Which is the smallest value? (a) 4 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*p + 2*p + 1700480. Suppose p = 15*f + 5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/19 + 944*d\/19 + 4770\/19.\nAnswer: -2*(d - 477)*(d + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/30)\/(31968\/(-2960)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*g = -2*n - 7, 3*g = 4*n + 31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*s - 281, -6*s + 7*s - 64 = 3*l. Suppose -4*o - 2*i + 47 = i, 4 = 4*i. What is the greatest common factor of s and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6387 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (0\/(-3))\/2. Let p = w + 4. Let x be ((-4)\/p)\/(4 + -2). What is the nearest to 0.1 in -0.1, x, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 105\/20*(5 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*p - 9*u - 4, -2*p + 5*u + 16 = 0. Which is the smallest value? (a) p (b) 11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10624 - 5593. Does 62 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 84*t - 2274. Determine s(13).\nAnswer: -1182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.37171 tonnes to nanograms.\nAnswer: 46371710000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555986 to the power of 1\/2, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f + 4*f + 17 - 3*f - 13. Let y be v(-8). Sort 1, -1\/2, y.\nAnswer: y, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028763 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p - 234. Let b(g) = 16*g + 260. Let a(i) = -9*b(i) - 10*s(i). Let o(x) = x**2 - 242*x. Calculate o(a(d)).\nAnswer: 36*d**2 - 1452*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.1, 2\/19, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(((u*u**(10\/9)*u)\/u)\/u)*u**30 assuming u is positive.\nAnswer: u**(269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1887236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6938435, 13876864, 20815293?\n\"Answer: 6938429*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -13925*t - 264552. Determine g(-19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 4*s - 888*s**3.\nAnswer: -888*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y + 4 = 0, 4*d - y - 9 = 0. Suppose -d*t + 12 = t. Let n = -490 + 501. Calculate the remainder when n is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*i - 979*i - 54 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/3 + 11*h**3\/3 - 7*h**2\/3.\nAnswer: -h**2*(h - 1)*(4*h - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(264)*-2)\/(sqrt(24)\/sqrt(2)*-2))\/((sqrt(1980) - sqrt(1980)*2 - sqrt(55))\/(sqrt(5)*-1*-5 - sqrt(5))).\nAnswer: -24*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10958 + -7597. Let n = l + -33677\/10. What is the common denominator of -9\/16 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 25 (c) -0.4 (d) 0.3 (e) 2.7 (f) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*l - 4761 = 5898 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwppppw. What is prob of picking 1 w and 2 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*x + 6*x + 46*x = 94. Which is the nearest to 0.043? (a) 2 (b) -1\/11 (c) -0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545560 is divided by 259.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3349 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*p + 2*m, -2*m + 3*m = -4*p + 242. Suppose -4*z + a = -84, 5*z - 2*a = -255 + 360. Calculate the remainder when p is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 3*c - 2, 2*g + 5*c = -16. Is 4906 - (-1 + (2\/g - 1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56\/9 - 298\/45. Let g(s) = -s**2 + 18*s - 42. Let y be g(3). What is the nearest to a in 2, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 18*f**2 - 10*f**2. Let y(u) be the first derivative of -2*u**3\/3 + 49214. Determine y(t(o)).\nAnswer: -1152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2\/9 (c) -10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*c - 39 = -169, 0 = -3*n + 4*c + 50. Suppose 2*a = 3*a - 65. Calculate the remainder when a is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 + 4*x + 4. Let q be o(5). Let f = q - 1. Find the common denominator of 15\/11 and (f\/(-3))\/(8\/(-21)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11088 and 48036.\nAnswer: 44385264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 3*sqrt(108)*-6 + (sqrt(108) - sqrt(108)*2) + 3)**2*-4.\nAnswer: -623872 + 7296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let z = 0 + c. Let y = z + -3. Which is smaller: 0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(1\/6)*u)*u**(1\/3)*(u**0)**(-2\/197) assuming u is positive.\nAnswer: u**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + (-14 - ((-3 - 6) + 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1. Let g(n) = 2*n - 6. Give -c(w) + g(w).\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16371 + 16456. Calculate the remainder when 956 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgbsjg. What is prob of picking 2 s and 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30 - 27 - 21 + 123 - 21 - 25 + j. Let s(k) = -4*k - 2. Let n(z) = -2*z**3 - z**2 - z - 1. Let w be n(-1). Give w*s(r) + 2*x(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i**3 + 100 + 3\/4*i**4 - 410*i + 1361\/4*i**2 = 0. Calculate i.\nAnswer: 1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9953736 to the power of 1\/2, to the nearest integer?\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10685411, 21370821, 32056231, 42741641?\n\"Answer: 10685410*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298238 * -4281.\nAnswer: -1276756878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 31*k**2 + 28*k - 628. What are the prime factors of f(-22)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 - (-64)\/3*(34 - (-5977)\/(-172)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 6*a - 5 = 0. Solve g - 2*m = -0*g, 6 = a*g - 4*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 38*m**3 + 3*m**2 + 19*m - 21. Calculate the remainder when 115 - (-1 + 3 + -1) is divided by b(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -330, -335, -342, -351, -362?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3 + 466*o + o**3 + 79*o**5 - 321*o + 170*o**5 wrt o.\nAnswer: 4980*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 829 or -550?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 432*r + 6. Let k be g(-6). Let c = k - -10293\/4. What is the common denominator of c and (-1 - 1)\/((-12)\/(-107))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10661 is divided by 1983?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -983 - -982. What is the nearest to -0.2 in -2\/3, b, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 200928540.\nAnswer: 200928540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669 less than 2?\nAnswer: -2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5\/3, -1\/99, 1?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.8, -0.4, -15, 108?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from {d: 1, c: 5, l: 4}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w + 2*z, -3*w = z + 2*z + 21. Let v = 2 + w. Let r be 4 - (2 + -1 - v). Solve r*c = -2*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*n - 28 = 21 - 49 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 12 - 9 - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-584)\/(-511))\/((-1)\/(-2282))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243\/(31 + -143 + 109)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*a - 0. What is the highest common divisor of a and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t + 7. Let r be p(-4). Let i = r - -27. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 4*a**4 - 78*a**3 + 200*a**2 - 187*a + 60.\nAnswer: (a - 5)*(a - 1)**3*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*2 + (-553)\/(-84) + -7 and -89\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58504059 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-4)\/(-2)*88. Let z = m - -307. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/5, -32 in descending order.\nAnswer: -1\/5, -1\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127.59 + 132.59. Let s(x) = x**2 - 3*x + 2. Let q be s(2). Let y = -0.3 - -0.43. What is the closest to y in -4, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pov when three letters picked without replacement from oppoppgvjpppvp.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}