diff --git "a/data/dm_maths/full_data_1/200_11255.jsonl" "b/data/dm_maths/full_data_1/200_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/200_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange 522*j**2 - 360*j**2 + 133*j**2 to the form c*j + r*j**2 + h and give r.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653287.\nAnswer: 1653287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167830235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:13 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8314 + -8303. Solve h*u + 3753 - 3676 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10131*c**4*u + 56*c**2*u + 6*c**2 + c*u - u wrt c.\nAnswer: 243144*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005426908885 rounded to 7 dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424051*a**3*f**3 + 5*a**2*f**3 - f**3 + 60*f**2 + 22*f wrt a.\nAnswer: -2544306*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/6 - (-3)\/(-9). Let z(u) = -4*u**2 + 13*u + 8. Let a be z(4). Put -5, a, b in ascending order.\nAnswer: -5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -989 + -4?\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -3)\/((-771)\/(-111) - 6) - 1.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:44 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29704, 2, -4, -24 in decreasing order.\nAnswer: 4, 2, -4, -24, -29704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 546 - -9470. Suppose l + 4996 = -2*v, 4*v + l = 5*l - j. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -18*s**2. Let l(m) = 17*m**2. Calculate -5*g(c) - 6*l(c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -9 + 2. Let z = r + -10. Let d be (0 - 3) + 1\/(-1). Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12) + (-3 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222 - (-110 - -240) - 233.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -44, -17, 30, 103, 208, 351, 538?\n\"Answer: j**3 + j**2 + 3*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1751 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711422.\nAnswer: 2, 59, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 5*s - 130, 0 = -5*t + 4*s + 418. What is the greatest common divisor of t and 48870?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + -163. Let n be (x\/11)\/(4\/298). Let d = 1979 + n. Find the common denominator of d and 41\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 2284703?\nAnswer: 2284702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1426376 divided by 2.\nAnswer: 713188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from antntqqttqa?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (37762*z + 2 - 6 - 37807*z)*(-1 + 2 + 0) as i + y*z and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -36*m + 5. Let o(s) = s - 1. What is l(z) + 5*o(z)?\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 537 or 535?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.16 to 0 dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3921, -3963, -4033, -4131, -4257?\nAnswer: -4411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -1921*k**7\/210 - 199*k**3\/3 + 1960*k**2. Differentiate d(j) wrt j.\nAnswer: -7684*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/100, -2, 0.05, 1 in ascending order.\nAnswer: -2, -3\/100, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.8, -14, -1312, 11.9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 1.1. Let w = -4.67 - -5.57. Let q = w - c. Is q less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 1173399*u**2 + 4693533*u - 5866935.\nAnswer: 3*(u - 1)*(u + 5)*(u + 391129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (12 - (-2 + 3)). Suppose -y + 6 = d, 2*y + 1 = 4*d - s. Solve 0 = -5*k - 1 - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 1678.5\nAnswer: 33.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 21011122211202?\nAnswer: 21011122211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6704687 - 10235777. Let z = d + 7931090. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*n**3 + 535248*n**2 - n - 204882740 wrt n?\nAnswer: 153*n**2 + 1070496*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -135\/4? (a) 1.17 (b) -0.017 (c) 12 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 g when four letters picked without replacement from thohgghohhgogggo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 19 = 2*n + 3*a, -18 = 3*n + 4*a. Let d be 1*(n - -3) - -3. Let p = d - 0. Solve p*w + 13 = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12362 - -12364.5415. Let p = f - 2.48. What is p rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 729.4 + -733.3972. Let o = -9 - -13. Let s = o + u. Round s to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34703\/24 - 1445. What is the common denominator of -91\/10464 and y?\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27136 + 27113. What is the biggest value in 0.2, -4, r, -0.4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3770600 is divided by 44888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*o**3 + 8 + 3*o + 49*o**3 - 95*o**3 + 48*o**2 + o**4 - 20 + 9 to r*o**3 + n*o**2 + m + p*o**4 + j*o and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(-1)))**(-1\/2)\/(d**4*d*(d*d**(-4)*d)\/d) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Let k(t) = t - 1. Let d(c) = -c + 1. Determine o*d(f) + 4*k(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by (-5)\/(-4) - (11907\/(-28))\/7.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/(6\/151224). Suppose 0 = 5*p - 984 - t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let b = 30 - -12. Let t be (-1)\/5 + (-3 - b\/(-10)). Let n(h) = 6*h + 2. Calculate t*n(a) + 5*l(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.25. Let q = w + 0.6. Let u = q - 6.15. Which is bigger: -1\/2 or u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -968\/7. What is the nearest to t in -2, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) - (-12)\/(-2). Let n = 9 + j. What is the remainder when 58 is divided by (-1)\/n*8 + 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/112*(-4 - -11) - (-6 + 27 + -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0912 take away -0.013?\nAnswer: -0.0782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 5318, 4, -3 in ascending order.\nAnswer: -5, -3, 4, 7, 5318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -63. Let j = d + -3. Let x = -9 - j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 21*y - 6. Let k be p(-5). Let b be k\/(-7) - (-2)\/14. Let z = b - 11. Solve -2*s = 2*m, z*s + m - 3 - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2 + 21*o - 28*o)*(2*o - o - 2*o)*(4*o**2 - 3*o + 3*o).\nAnswer: 28*o**4 + 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -b - 96305, 4*i - 3*b - 385216 = 0. Suppose i = 14*a + 9*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122512 and 2736.\nAnswer: 1102608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -0.6 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, o: 4, r: 3, x: 2, c: 2, g: 1}. What is prob of sequence xro?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -2)*3\/(-18). Let x be (-2)\/(-6)*(11 - 2). What is the smallest value in s, x, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6412 - -6417. What is the nearest to -2\/5 in a, -1\/11, -1.5, 4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8644\/54251 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 22237 and 21814 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a*a\/((a\/a**(-7))\/a*a)*a**2\/a**(2\/3))\/(a*a*a**(-7)*a**(-6\/5)*a*a*a**(5\/4)\/(a*a**(5\/6)\/a)) assuming a is positive.\nAnswer: a**(-53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k*(k*k*k*k*k**(-1\/5))\/k*(k*k**(-8))\/(k\/(k\/(k*k**0*k)*k)))\/(((k**4*k*k)\/k)**(-2\/93))**(-4\/13) assuming k is positive.\nAnswer: k**(-19544\/6045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6))**(-34)\/(b**(1\/7))**(-13))**(2\/17) assuming b is positive.\nAnswer: b**(-160\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 149 + (-4 - -5) + -6. Suppose 3*y = -g + 62, 6*g = 3*g + 5*y + q. Is 53 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 3. Let w = -28 - -29. Let s be h(w). List the prime factors of ((-635)\/(-10))\/(s\/(-2)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79407*r**6 - 108089*r**2?\nAnswer: -9528840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1275440 and -65\/1530528.\nAnswer: 7652640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 6*-1*sqrt(832) + sqrt(832) + -6*1*(sqrt(832) + 1 + sqrt(832)))**2.\nAnswer: 5984*sqrt(13) + 481138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 20 = 0, 3*w - 20 = 8*y - 4*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 215156.16 months?\nAnswer: 17929.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f*f*f**10)**33 assuming f is positive.\nAnswer: f**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/n**(-2\/7)*n)\/n)**49)**5)**(-7\/6) assuming n is positive.\nAnswer: n**(-1960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 - 2*u. Suppose -99 = -53*x + 5*x - 291. Let q(s) = -31*s**2 + 9*s. Determine x*q(d) - 18*b(d).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238750394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2193282 and 4102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10904177 and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(252) - (0 + -1 + sqrt(252)) - (1 + -2*sqrt(252)))*-3)**2 + 1.\nAnswer: -36303 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g - 1. Determine v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15)*-3)\/((-2)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose w = -c*w + 3. Suppose 0 = -3*a - 5*a + 8. Sort a, 0, w in decreasing order.\nAnswer: w, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 17 + -15 + -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/3))\/v*v*v)\/(v**(-2\/11)*v))\/(v**(-1\/6)*v*(v*v**(-3))\/v)*v*v\/(v**1\/v)*v**(3\/2)*(v**1\/v)**(-6\/13) assuming v is positive.\nAnswer: v**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - -0.12. Let c = -156.06 - -158. Let q = 0.06 + c. Is v smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720540, 720754, 720968?\nAnswer: 721182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2001 divided by 667\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - 154?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-6))*p)**(-7) assuming p is positive.\nAnswer: p**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*y + 20 + 0 = 0, -5*y + 23 = 3*o. Suppose 3*f - 10 = -2*f. Suppose -2*x + 4 + 2 = 0. Solve x*n - o = f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12131*p - 35. Let o(c) = -1427*c - 4. Determine 5*g(r) - 42*o(r).\nAnswer: -721*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:36 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrwwwwwwkwww. What is prob of picking 1 k and 1 w?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/11 and -119\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -2 - -1 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*s - 19900009, -3*f + 3*s - 6*s = 59700009. Round f to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 8*h - 2. Let y be u(7). Let v(g) = 1 - y*g + 4*g + g**2 - 4*g**3 + 14*g**3. Let l be v(1). What is the greatest common factor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/(2*20\/((-80)\/(-8)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3 + 51*z - 49*z - 1. Let m be n(3). Suppose m*c + 77 = s, 0*s + 5*c = s - 89. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {y: 2, q: 2, n: 1, i: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**10\/5040 + f**6\/180 - f**3\/2 - f**2. Let v(r) be the first derivative of k(r). Find the third derivative of v(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*y = 2*j - 17, 3*y + 13 = 4*j. Solve -4*q + 16 = -u, -4 = 2*u + j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-3 - -2) + -4 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -94 - 0 - (-5849 + 5789)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14848, 32385, 49922, 67459, 84996?\nAnswer: 102533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 35. Suppose a = -3*y + 412, d*y = 3*y + 5*a - 128. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**2 + 0 - k + 5 - 5 to v*k + h + c*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5060 = 5*u - 5*y, 2*y = 5*u - 5057. Suppose u = -19*p + 12392. What are the prime factors of p?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -1)*(-6 - -3 - 6). What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 67.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((11 - 21) + 7)*(-4)\/(-27)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 28*y = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0009 + -22.0991. Let b = a - -22. Let s be (88\/12)\/2 - 3. Which is bigger: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61065 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s + 13*s + 5*s + 6*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 40. Solve -y*t - 1 = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i + 7. Let r be o(-6). Let c = -31\/3 - r. Which is bigger: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 430627914 by 366.\nAnswer: 1176579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 2, -7\/2, -2\/19, -133\/4, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203058 is divided by 1143?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -230116.511 to the nearest one thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 44 = -2*y - 55 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/5 of a decade?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5*x + 16*o**4 - 6*o**3*x - 3*o**2 - 22*o*x - 10*x wrt o?\nAnswer: 60*o**2*x + 384*o - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.507 + 0.007. Let p = -6.6 - -7. Sort p, r, 0.\nAnswer: r, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 38969*t + 1. Let w(k) = k**2. Calculate j(w(n)).\nAnswer: 38969*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l - 118. Let w(k) = -6*k - 59. Calculate -3*h(x) + 5*w(x).\nAnswer: -6*x + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104188 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.51 minus 666?\nAnswer: -683.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 1892*g\/3 + 631\/3.\nAnswer: -(g - 631)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:24 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5550.112 minutes to milliseconds.\nAnswer: 333006720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 - 27. Give w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -f - f. Let o = f + 41. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2491729.2 microseconds?\nAnswer: 0.000692147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-325))\/(40\/(-100))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let r(m) = m + 2. Let x(w) = -6*w - 10. Let p(k) = 5*r(k) + x(k). Let c(j) = 173*j. Let f(s) = -c(s) - 6*p(s). Calculate f(q(y)).\nAnswer: 334*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2\/19, 1, -0.14, -1\/255?\nAnswer: -1\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 62, -8 in decreasing order.\nAnswer: 62, 8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 6. Let q(g) = -2*g**2 + 7*g - 3. Suppose -1020*w = 231*w - 3753. Let v(k) = -6*k**2 + 20*k - 8. Determine a*q(o) + w*v(o).\nAnswer: -2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -9 + 31. Let h(x) = -x**2 - 17*x - 30. Let a be h(i). What are the prime factors of a*(4 - 57\/12)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (11 - (39 + -11)) - 103 - (6 - 1)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-3)\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465*k - 528*k + 126 = 0. Find j, given that 2 - 16\/3*j**4 + 49\/3*j + 103\/3*j**k + 8\/3*j**3 = 0.\nAnswer: -2, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 + 2 = 0. Let -49*c - 99*c**4 - 145*c**2 + 128*c**2 + 114*c**m + 92*c**2 + 18 + 178*c + 30*c**5 - 51*c**3 = 0. Calculate c.\nAnswer: -1, -1\/2, -1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u, -3*u - 12 = -v. Let p be (30\/(-5))\/(-18) + (-26)\/6. What are the prime factors of v\/(p\/3 - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 25*s - 4558 + 4433, -5*s = 3*x - 15 - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:29 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1\/12*k**4 + 1\/20*k**5 - 1\/3*k**3 - k**2 + 0 + 4*k. Let p be (-5 + 4)\/(2\/6). What is n(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5*u*y**3 + 302*o**3*u**2*y + 5*o**2*u + 2*o**2*y**3 - 5*o*u**2 - 10*u**2*y**3 wrt o.\nAnswer: -60*o**2*u*y**3 + 1812*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*b + 2. Is -2\/11 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:30 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.47 + 0.15. Let x = -0.02 - i. Which is the smallest value? (a) x (b) 2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6403*d**3*f**2*q**3 - 2992*d**3*q**3 + 5623*d**3*q + 7*d**2*q**2 - 136*d*f**2*q wrt q?\nAnswer: 38418*d**3*f**2 - 17952*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59172 + -41770. List the prime factors of v.\nAnswer: 2, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) + 2*sqrt(900)*2)*-2)\/(sqrt(5) + (3*sqrt(80) - sqrt(80)) + sqrt(10)\/(-3*sqrt(2))).\nAnswer: -90*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -3\/14 (c) 0.4 (d) 0.05 (e) -48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*q - 2*c, -15*q - 82 = -19*q + 2*c. What is the least common multiple of q and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1407 + 2164. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 2*b**2 + 5*b**2 + b**2 - 3*b**2 - 2. Let m be n(-1). Solve m*p - 2 - 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 242*n**2.\nAnswer: 242*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(13)))**2 - -1*sqrt(208).\nAnswer: 4*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1073\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + 4*w**2 - 6*w**2 + (0*w - 4*w - w)*(56 + 31*w - 56) + 3*w**2 - 3*w**2 + 3*w**2.\nAnswer: -151*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 566125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 189. Let n = i + -6. Suppose 0*l + n = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -104 - (-50 - (36 - -20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 152, 0, -2, -52 in ascending order.\nAnswer: -52, -2, 0, 93, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.03 (c) 0.01 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111804 and 6726412.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4975711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1)*7\/((-21)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 9:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(425) + -5 - (2*sqrt(425) + -3 + sqrt(425))) + -2*sqrt(425)*2 + -6*-1*sqrt(425))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11)\/(d\/(d**(1\/2)*d)))\/((d*d**(2\/11)\/d)\/(d\/((d**0*d)\/d))))**(-17) assuming d is positive.\nAnswer: d**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - 0.04. Let q be 80\/24*1\/2. Which is the closest to 1? (a) h (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8381177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(20\/(-15)) - -3. Suppose 0 = u - q*u, x = 5*u + 1397. Suppose -13*p - 3*h + 1401 = -8*p, 5*p + h = x. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -33*b - 126780. Suppose 4*z - 5218 - b = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 + 82*h**4 + 1 + 29 wrt h?\nAnswer: 328*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1375*y + 2200*y = 39600 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - -9 - (2 + -14 + 25))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -4, 57, -2, 0 in decreasing order.\nAnswer: 57, 3, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 5. Let r(a) be the third derivative of a**5\/15 + 2*a**3\/3 - 3*a**2 + 12. What is 5*r(f) - 4*x(f)?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 - 16 = 0. Let q = u + 11. Let p = q + -2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 803 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 10*d + 3. What is the hundreds digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 15 = -4*m. Let i be (-4)\/5*m\/(-6). Suppose 4*c = 2*r + 3*c - 5, r - 2*c = -5. Solve i*h = 1 - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(3300) - (sqrt(33) - -4*-3*sqrt(33)))\/(((-2*sqrt(154) + sqrt(154))\/sqrt(7))\/(sqrt(20)\/(sqrt(30)\/sqrt(3)))))**2.\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.129, 2, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + j = 1, 2*h + 169*j = 173*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*w - 3 = 0, 31*w - 30*w + 15 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-5474)\/(-17))*4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1913670 and -5.\nAnswer: -1913675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:04 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 27833*p. Let z(a) be the second derivative of -a**3\/6 - a - 466. Determine g(z(q)).\nAnswer: -27833*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7 + r**3 - 3*r**2 + 10 - 2*r + 2 - 1. Let x be i(3). Is x\/5 - (2 - (-667)\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 + 284*t**4 - 344*t**3 - 46232*t**2 - 168612*t - 123012 = 0. Calculate t.\nAnswer: -9, -3, -1, 17, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 1634, 3720, 6642, 10394, 14970?\nAnswer: 20364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a. Let r(m) = -m**3 + 12*m**2 + 5*m - 3. Let z(o) = -4*c(o) + r(o). Let p(x) = 69 - 136 + 78 + x. Let n be p(-3). Give z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4 + 9290*d**3 + 27861*d**2 = 0.\nAnswer: -9287, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -32. What is the closest to 2\/7 in -0.2, c, 0.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7827.160193 rounded to the nearest 10?\nAnswer: -7830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-4) + (-1615)\/(-540) and -11\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10))\/(9\/30). Suppose 2 = 2*m + f. Let v be m*(-1)\/((-1)\/(-10)). Solve 5*j = -8*i + 3*i - v, -15 = 4*j - 3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.088 + 0.445713149.\nAnswer: -48.642286851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 - -327. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2283876 divided by 1539?\nAnswer: -1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 43*b + 17. Let i(x) = -202*x + 1. Determine i(q(k)).\nAnswer: -8686*k - 3433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 175?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20854582 - 1?\nAnswer: -20854583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/254 and 61\/1142?\nAnswer: 145034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**3 + 5*l**2. Suppose 7 = v + 51. Suppose 75*b - 74*b = -40. Let y = b - v. Let r(z) = -5*z**3 - 4*z**2. Give y*h(t) + 5*r(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -77521.2 rounded to the nearest 100?\nAnswer: -77500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1110 = -d. Calculate the greatest common divisor of 37 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 8. Let x be (-168)\/(-44) - b\/22. Let f = 21 + -12. Solve -f = x*r + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(76)*-4 - sqrt(76))**2 + 2.\nAnswer: sqrt(19) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428 and 81753?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 38*v**2 + 994*v + 250. Give k(-26).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - 0) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 - -154. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11466\/162 - 3*2\/(-27).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 26 + a + 28 + 20 + 31 - 119. Give c(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*d**3 + 316*d**3 - 631*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79429 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-3)\/18*2). Let z be (-1)\/2*n*2\/(-7). Let x = 547 + -545. Which is the closest to x? (a) 4 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892*q**2 - 185 + 1890*q**2 - 7573*q**2 + 1898*q**2 + 1892*q**2.\nAnswer: -q**2 - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110922 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - f - 335 = 0, 0 = 3*c - 2*f - 502. Let p be ((-216)\/c)\/((-6)\/28). Let o(k) = -k**2 + 2*k + 4. Give o(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3252*a + 3*j + 64 = -3257*a, 9 = -3*j for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 28*w**4 - 124200*w**3 + 832764*w**2 - 496000*w - 212592 = 0?\nAnswer: -2\/7, 1, 6, 4429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.222 to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-3))\/(6\/531) - 0 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.8775848 - 5.1224182. Let i = 482.2 + -515.2. Let s = i - w. What is s rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3 - 6*r**2 + 11. Factor i(j).\nAnswer: 3*j*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-5) - 5\/(-25). Suppose 3*z + 15 = -5*g, -5*z + z = 20. Solve 2*f - r - 3 = g, m*f - 2 - 5 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-144)\/174)\/(3\/2). Let g = 152\/145 - f. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-176))\/(((-9)\/15)\/(2\/5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u*z**2 - 2*u*z - 10*z**2 - 12*z wrt z?\nAnswer: 6*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 52*p**2 + 753*p - 20053. Determine r(25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 27*u + 29*u = -3, 3*u = 6*a + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 70, 104, 138, 172?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4183*g**5 - 2215520*g + 84 + 76 + 2215518*g wrt g.\nAnswer: 83660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 + 5*p - 6. Let t be z(5). Suppose u - o = 4*u - 8, -3*u + o = -10. Let v = u + t. What is the nearest to -1 in 3, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:36 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-5))\/(1\/(-13)). Let l = 13 + m. Is -1\/7 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 49 - 31. Suppose -302 = -i + b*n, 5*n = -5*i + 1385 + 200. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 31082*j - 5 - 6 + 9 in the form n*j + f and give n.\nAnswer: -31082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.99999979 - 11. Round y to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -q, 3*z = 4*z - q + 3. Is z < -2\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - 2*k**2 + 0*k)*(4*k**2 - 6*k**2 + 3*k**2) + 0*k**4 + 3*k**4 + k**4)*(365 + 4*k + 2*k - 4*k).\nAnswer: 4*k**5 + 730*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282 - -278. Let b = -6 - -3. What is the nearest to 2\/3 in x, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -4*z + 9*h + 60, 2*h + 50 = 3*z. Calculate the remainder when 4493 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Let h = 5.8 - n. What is the nearest to -0.2 in -0.4, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1651 or -1649?\nAnswer: -1649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1587512382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/7)*l**(1\/2)*l**2\/l**(-3))**(3\/26) assuming l is positive.\nAnswer: l**(285\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -88 (b) -3\/32 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 33750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3381\/27 + 2\/(-9). Let h = q - 70. Let o(l) = 3*l - h + 59 - 7*l - l**2. Determine o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10) - (15760\/425)\/16. Is 0.1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.09, 60\/13, -0.2, 2, 16.\nAnswer: -0.2, -0.09, 0.5, 2, 60\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2136249, -4272507, -6408767, -8545029, -10681293, -12817559, -14953827?\n\"Answer: -u**2 - 2136255*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 3*h + 66. Suppose -13*x = -h*x - 8. Let r be (2 + -2)\/(5 + -6). Solve -x*d - 4 + 0 = r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 823965, 823987, 824011, 824037, 824065, 824095, 824127?\n\"Answer: w**2 + 19*w + 823945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - m + 3*m**2 + 7*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + y + 1. Let s(o) be the first derivative of -92 - o - 1\/3*o**3 - 1\/2*o**2. Give -3*s(p) - 3*x(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325749 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-248)\/(-60) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 + 2*s**4 - 3*s**4 + (s**3 - s**3 - s**3)*(-2 - s + 2).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3908615816 - 3908615836.90000091. Let m = -0.0081 + -20.8919. Let y = k - m. Round y to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563870280?\nAnswer: 2, 3, 5, 17, 47, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1061976 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 613637280 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44832 and 256.\nAnswer: 358656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 - -359 - (14 - (4 - 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minus -269?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2276519 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5, -4*v = u - 16 + 19. Is 2\/69 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -512, 7, 1\/7, -134, 5, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2356152 and -13\/13452?\nAnswer: 139012968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -2*g**3\/3 - 7*g - 6. Let h(m) = m**2 + 4. Give 7*h(n) + 4*p(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*b + 211*b = -5*s - 49, -b - 2*s - 3*s - 44 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(448))**2 + -1.\nAnswer: -32*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1852, -1792, -1694, -1558?\n\"Answer: 19*v**2 + 3*v - 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39377427 - -1943437.\nAnswer: -37433990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 331 - 961\/3. Let x(m) be the first derivative of 2*m**2 - 5 + 77\/4*m**4 - k*m**3 - 49\/5*m**5 + 0*m. Factor x(l).\nAnswer: -l*(l - 1)*(7*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 39*n**3 - n**3 - 2*n**4 + n + 4 in the form d*n + o + q*n**4 + t*n**3 + s*n**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3152*i*p**2 - 123*i - 3*p wrt p.\nAnswer: 6304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4374136 and 1084.\nAnswer: 1185390856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0*y**5 - 5\/24*y**4 + 0*y + 0*y**3 + 0 + 0*y**6 - 5*y**2 - 1\/105*y**7. Find the second derivative of p(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 230. Let j(y) = 5*y. Calculate j(x(a)).\nAnswer: 20*a - 1150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 466607, 466608, 466609, 466610, 466611, 466612?\n\"Answer: u + 466606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.5 + -57. What is d rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 30 = -3*j. Let v = 12 - j. Differentiate -13*z**2 + 0*z**4 + z**4 + 13*z**2 + v with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**2 - 1. Let s(j) = -115 + 115 - 2*j**2. What is h(s(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-4))\/(-5) + 2. Suppose 2*v + 5*i - 377 - 580 = 0, -2*v = -g*i - 964. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -5. Let a(v) be the second derivative of v**4\/12 - 5*v**3\/6 + 3*v**2\/2 + 2*v. What is the remainder when l is divided by a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -17)*1*4. Suppose -a + f = -9*a. Is (-3)\/(((-5)\/(-223))\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 148 - 1779 = 0. What is the closest to w in -1\/3, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 8*m. Determine p(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20a (base 13) to base 5\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-45) + (-89)\/(-3). Let m be (-4)\/r - (-2)\/15. Which is bigger: -1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 1850, 4157, 7376, 11501, 16526, 22445, 29252?\nAnswer: 36941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 8, i: 2, h: 2, e: 2}. Give prob of picking 2 i.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 15, -50 = 2*o - 7*o - 4*c. Let f(z) = z**3 + 14*z**2 - 17*z - 25. Let d be f(-15). Sort -2, d, o, -4 in decreasing order.\nAnswer: o, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7413719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by -2041.\nAnswer: -444\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -19 + 17 - (10 + -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 <= -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1204875 (base 11) to base 14\nAnswer: 3c9469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14336 + -1856. Suppose -17*z - 13*z + v = 0. Calculate the highest common divisor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -4)\/(-3) - (-1 + -2). Let z be (5 - 4)*(3 - 1). Suppose -y*w + 3 = -n, -2*n - w = z*n - 24. Solve -n*d = -d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176854699 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 + -202. Solve 2*y - 5*d = 2 + x, -2*y + 10 = -d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 0.07, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 18*i**2 - 14*i - 50. Let c be n(17). Does 14 divide c - (-1*2946)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -39634783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1. Let b(a) = -a - 6. Let q(v) = b(v) - 6*x(v). Let y(r) = 3*r**2. Calculate y(q(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -19. Let t be (-3)\/2*z\/(-18). Suppose 0 = t*w + 3*w + 5. Sort 4, w, 3 in decreasing order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38016, -39268, -41354, -44274, -48028?\nAnswer: -52616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1681*a*t**3 - 3*a*t**2 + 10*a*t + 81751*a with respect to t.\nAnswer: 5043*a*t**2 - 6*a*t + 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 14. Let j be ((-6)\/k)\/(1\/(-35)). What is the greatest common divisor of 42 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 21240 = -34*z. Is 59 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11*1\/(-3)*5119605. Let k = j + 18396451471\/980. Let c = k + -64\/49. Calculate the common denominator of -99\/16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1354 - -2777. Let m = q - 711. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 3*y + 14. Let a(c) be the first derivative of 2*c**3\/3 - c**2 - 9*c + 44. Give 8*a(q) + 5*o(q).\nAnswer: q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.06, 0.5, -2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 + 118.99989. What is y rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1748995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1226020 and 3117.\nAnswer: 3678060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 552 + -216. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599010929?\nAnswer: 11, 17, 19, 53, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - (-80)\/(-15). Let b(l) = -l**2 - 8*l - 9. Let g be b(f). Find the common denominator of 3*(-53)\/(-99)*g and -101\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1466*k + 1590 = 1476*k. Let a = -3 - -6. Suppose 36 - k = -a*m. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62 and -26.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1, -1.612, -0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 8*h**2 - 4*h**2 - h**3 - 8*h**2 + 33*h**2 - 2*h**3.\nAnswer: -3*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7 - -0.7. Let w = 1 + v. What is the biggest value in 2, w, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 5 - 4*i**2 - 4 + 8*i - 3*i. Let y be g(-7). Solve 3*t + y = -2*a, 5*t + a - 2*a = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 0.4. Let d = 17 + -17.224. Let q = d + x. What is q rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m - 117217. Determine n(-344).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.7, -2\/19, 0.05, 0.1 in increasing order.\nAnswer: -2\/19, 0.05, 0.1, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 1, n: 2}. Give prob of sequence qnq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 10. Let x(h) = -8*h**3 + 19*h + 2 + 9*h**3 + 22 + 19*h**g. Let a be x(-18). What is the greatest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 + 35098373*s**2 + 29197727*s.\nAnswer: -12*s**2 + 70196746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25214129 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.376092327 to 3 decimal places.\nAnswer: 0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:41 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*v + 253*v - 951*v + 248*v + 239*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 + 4*r - 2. Let h(a) = -a**3 - a**2 + a + 1. Suppose f - 2 = 2*f. Let j be h(f). Determine b(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 + 680. What is the remainder when w is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2. Let v = 54 - 39. Suppose 3*j + v = 5*r - 8, -14 = 2*j - 2*r. Let m(y) = 2*y**2. Give j*x(d) - 13*m(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6*t + 2*k + 30 = 0, -30 = -5*t + k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 7*l + 3*l - 2793, 0 = -3*h + 5*l + 8435. Does 110 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -215, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 10*j**2 - j - 7. Let n be b(-10). Suppose -5 = -z - n. Solve -2*y = 2*p - 2, y - 2 = z*p - y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 7*n + 6. Let u be p(-6). What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**0))**33)**(6\/7) assuming r is positive.\nAnswer: r**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let n(g) = -g - 11. Let c be n(-9). Let u(w) = -17*w - 5. Suppose 6*v = -37 + 7. Let m(k) = 9*k + 2. Let y(t) = c*u(t) + v*m(t). Give a(y(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8519469 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: Expand -3 + 3 + 4*z**2 + (4 - 5 - 1)*(2 - 2 - z**2) + (z**2 - 2*z**2 - z**2)*(3 - 26 - 5).\nAnswer: 62*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-80)*12*5\/(-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 61. Sort 3, t, 2, -5 in decreasing order.\nAnswer: t, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79809 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i + 40. Let v(z) = 18*z. Calculate the lowest common multiple of u(4) and v(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/12 + 2*n**2. Suppose -2*s + 3*s = -v - 8, -3*s = 3. Let p = v + 3. Let o(j) = -j. What is p*f(w) + 9*o(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 620*z - 90624.\nAnswer: -(z - 384)*(z - 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5353 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6*y + 3*y + 2*y)*(0 + 1 - 3) + (0*y + 2*y - y)*(0 - 3 + 0) + y - 4*y + 2*y)*(1 - 3 + 0) to a + r*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**2 + 3*u**2 + u - 77 - 9*u**2 + 15 as b*u**2 + y*u + m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-188)\/(-1)*((-210)\/40 + 6) is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1, d: 1, h: 1, o: 2}. What is prob of sequence ho?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 15 (c) 3\/4 (d) 0.5 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -10, 18, 68, 140, 234, 350?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.265*-228885\nAnswer: 747309.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -925 - -1510. Suppose 0 = 3*z - 4*m - 355, 5*z - 6*m - s = -m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1148038 and -11\/7725.\nAnswer: 86102850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -17*k + 29*k + 30 - 10*k - 11*k. Let u be m(2). Solve -7 = -5*x - u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwvb when four letters picked without replacement from bwbhwhhvhbghh?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673917398.\nAnswer: 2, 7, 11, 947, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3740, -459, -5, 4 in decreasing order.\nAnswer: 3740, 4, -5, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1474.44 and 0.5.\nAnswer: -1473.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 79792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001694808 rounded to six dps?\nAnswer: 0.001695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 82, 125?\n\"Answer: 43*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 662 = -5*x, 3*x = 8*x + 3*d - 694. What is the remainder when 825 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.74 - -1.86. Let r = 1.02 - o. What is the third smallest value in 1\/10, 0.4, -0.4, r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9958 + -10229.48. Round v to 0 dps.\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, g: 3, i: 6}. What is prob of sequence igig?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 8*m + 4. Let d be x(-3). Suppose 13*v - 11*v + d = 0. List the prime factors of 5\/(v\/(-28)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -42, -52, -66, -84?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3450, 3451, 3452?\n\"Answer: m + 3449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 25 = -5*i - 6*j, 3*j = -i + 3. Let l be (5 + (i - -5))*28. Suppose 2*t - 13 = -3, -l = -s - 3*t. What is the greatest common divisor of 52 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22978, 45442, 67906, 90370?\nAnswer: 112834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6725036 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/30820 and 127\/290490?\nAnswer: 38925660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/2 - -16)\/(1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2558279 - 0.2557. What is k rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 666688, 1333369, 2000050, 2666731, 3333412?\nAnswer: 4000093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4905688 is divided by 76647?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884269939.\nAnswer: 53, 1543, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 656507?\nAnswer: -79\/656507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t + 141. Let m = t + 989\/7. Factor -m*z + 0 - 4\/7*z**2.\nAnswer: -2*z*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6187\/14 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 192, -0.3 in descending order.\nAnswer: 192, 55, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, c: 14}. Give prob of picking 4 z.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 94 - 264*u**2.\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/4 + 203*g**4\/2 - 26989*g**3\/4 - 8906897*g**2\/2 - 13311600*g - 8865000 = 0. Calculate g.\nAnswer: -300, -2, -1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 61.7019?\nAnswer: 61.4019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 40 = 3*v. Let y = 30 + v. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.41323, 6, -4\/3, -1?\nAnswer: 0.41323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, t: 11}. What is prob of picking 2 u and 2 t?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -660 - -256. Let r = -9 + 0. What is the tens digit of k\/(-16) - r\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -6.83, -2\/13 in descending order.\nAnswer: -0.1, -2\/13, -4, -6.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 - 8*i - 4. Let s be c(-3). Let z(k) = 4*k**2 + 3*k + 10. Let f be z(s). Suppose -o = 4*o - f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49389.36 rounded to the nearest ten?\nAnswer: 49390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1221 - -1304. Suppose 4*a - 124 = -5*w, -2*a + 5*a - 72 = -3*w. What is the remainder when n is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0136 and 7.76962379?\nAnswer: 7.75602379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*m = 3, k - m - 13 = -3*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 4*u + 41)*(0*u**4 + 3*u**4 - 2*u**4).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3708\/71 or 384?\nAnswer: -3708\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4257)\/(-6149))\/(-9*4\/(-312))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 4*d - u, 426 = 5*d + 16*u - 18*u. Calculate the least common multiple of 595 and d.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 455 - 451. Suppose 3*j + 6 = -5*p, -n*p + 2*p = 6. Solve -3*r = r - g + 1, 0 = -j*g + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-45))\/((-64)\/(-60))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 18}. What is prob of sequence ge?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -48581\/8 at least as big as -6074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3940 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 84.\nAnswer: -85\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 (base 6) in base 11?\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1728885554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 141743837 a multiple of 3152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 3. Let v(w) = 16 - 4*w - 5*w + 3*w - 4*w. Determine -11*p(y) - 2*v(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -1323213?\nAnswer: -1323111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -88. Put x, -4, 1, -11 in ascending order.\nAnswer: -11, x, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 44*t + 151. Is p(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13331030 (base 6) to base 7\nAnswer: 3542145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:05 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**3 + 4*v**2 - 6*v - 2. Let f be p(6). Round f to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 31*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1932 divided by -6\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 945 - 593. Let h = x + -190. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 1, k: 1, e: 1, x: 3}. Give prob of sequence kxwe.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17109 and 3568177?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/7 - 15*c**2\/7 - 24*c\/7 - 12\/7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*r + 34531, 5*i + 4*r - 34486 = 3*i. What are the prime factors of i\/21 + 15\/35?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 143\/(-165). What is the third smallest value in 0.2, r, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 + 2*h**2 - 6*h - 20. Let d be b(-6). Suppose -5*n = -d - 696. What is the highest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 * 9.61\nAnswer: 1278.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 19 = a + 7*h, -4*a + 5*h - 29 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4858 = 348*m + 203 - 1957. Solve 7*s - m - 2 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-v**2 + 2*v**3 + v**2) + 24006*v**3 - 48028*v**3 + 24011*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d + 9. Determine m(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/60 + j**5\/60 - j**4\/24 + j**3\/3 + 72*j**2 + j. Suppose 1 = -2*u + 3*k, 4*u - 2*k - 11 = -17. What is o(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j + 0*j + (0*j + 0*j + 2*j)*(3 + 1 - 2) + 3*j - 3*j + 2*j + 5 + 2*j - 5 + 2*j + 4*j - 5*j)*(-455*j**4 - 644264*j**2 + 644264*j**2).\nAnswer: -6370*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f9c (base 16) to base 11.\nAnswer: 17431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/23840 and 127\/50660.\nAnswer: 405280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 215 = 73. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 4*q**2 + q + 6 - 1 - 2. Let g be 2\/8*20 + -9. Determine h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -628 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (321\/30 - 10)*12\/21*3170\/(-21239).\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 8. Let s be z(5). Suppose -j - c = -2*j + 682, 2051 = 3*j + s*c. Let t = 969 - j. List the prime factors of t.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 610. Let w(q) = 4*q**2 - 1218. Calculate -4*w(k) - 9*z(k).\nAnswer: 2*k**2 - 618","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4*y - 244561*q**2*y**2 + q*y**2 - 107*q*y - q + y**2 + 274 wrt q.\nAnswer: 24*q**2*y - 489122*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782383*i + 782578*i - 5460 = 0 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**3\/3 + 3*t**2 + 7*t + 3. Calculate d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 3*s - 1\/24*s**4 + 0 - 1\/120*s**6 + 2\/3*s**3 + 42*s**2 - 1\/15*s**5. Determine l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 11*o**2 + 10*o + 2. Let p be x(-10). Solve 0*w = -w + p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 126*l. Let s(c) = 1486*c**2 + c - 1. Determine s(k(v)).\nAnswer: 23591736*v**2 + 126*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253 + -124. Suppose -3*t = -102 - h. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8 and -50\/17163?\nAnswer: 137304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/6 + 3*d**2 - 7*d. Let u be m(-3). Solve -5*j = l + 29, u*l = 2*j - 3 + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 189 + 182 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 140\/12 + (-8)\/(-6). Let r(w) = 26 - 14*w - 7*w + 4*w + w**2. Let k be r(l). Do k and -26 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**5\/8 - 21*a**4 - 633*a**3\/8 - 57*a**2 + 159*a\/2 + 78 = 0?\nAnswer: -52, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 y when four letters picked without replacement from fyyyfyyyfy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 581, 1169, 1761, 2357, 2957?\n\"Answer: 2*c**2 + 582*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-10)\/(-3))\/(8\/108). Solve -2*h - 3 = -o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*o**4*v + 3*l**2*o*v - l**2*o + l*o*v + 75*o**3*v wrt o?\nAnswer: -12*l**2*o**2*v + 450*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + 13 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**4\/4 + v**2\/2 - 11058. Let n(x) = -3*x**3 - x**2 - 9*x - 2. Determine -2*b(h) + n(h).\nAnswer: -h**3 - h**2 - 11*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/32 and -119\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.2 (b) 0.014 (c) -2\/241 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35230 and 6.\nAnswer: 105690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/2))\/(c\/(((c**(1\/3)\/c*c)\/c)\/c)))**(-3)\/((c*c*c**(-1\/2)*c**4*c*c)\/(c**3*c*(c\/c**(-2\/7)*c)\/c)) assuming c is positive.\nAnswer: c**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1078, -4414, -9978, -17776, -27814?\nAnswer: -40098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Let z be (-1)\/((10\/4)\/(-5)). Let n be 1 - (z + (-1 - 0)). Sort -3, q, n.\nAnswer: -3, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 25*v**2 - 3*v + 90. Let z be a(25). Let l = 6 + -3. What is the highest common factor of z and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 1, -5*x + 18121 = -2*r. Let h(d) = 0*d + 0 + 3624*d**2 - x*d**2 - 9*d + 1. Calculate h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {h: 3, m: 3, n: 3, c: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 67607674 and 67607673 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 + 61 - b**5 - 39 + 3*b**2 - 2*b**3 + 7*b**5 + 0*b**3 wrt b?\nAnswer: 480*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 - j - 1. Let n be m(-1). Let s(c) = -6*c + 2. What is the remainder when s(n) is divided by (-2)\/(-8) + (-70)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 10. Let o be t(8). Let c be (2\/o)\/((-2)\/(-4)). What is the units digit of 2*(-26)\/(-8)*c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 433.17 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176054 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 277 = 22*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4\/7 - 52*j**3\/7 - 223*j**2\/7 - 62*j\/7 + 48 = 0.\nAnswer: -3, -2, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5096\/30 - (-14)\/105. Suppose 4*l - 600 = -4*p, -5*l - 4*p = -923 + f. Calculate the remainder when l is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p**2 - 7. Let t be (-21)\/(-49) + (-104)\/14. Let l(f) = -8*f**2 + 3. Calculate t*l(n) - 3*b(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 6*u**2 + 6*u + 3. Let v be f(5). Suppose -3*s = -5*s - v. Let g(d) = d**2 + 3*d - 1. What is the units digit of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3, 3, -6 in increasing order.\nAnswer: -6, -3, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 7 = -14*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 7. Let s be 147\/35 + 1\/(-5). Let k be v(s). Calculate the highest common factor of 24 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51616850 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + (-6*(sqrt(567) + -1) - (1*sqrt(567) + 2) - 2*-3*sqrt(567)*-1)) + 2)**2.\nAnswer: -3744*sqrt(7) + 383356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(33\/5) assuming j is positive.\nAnswer: j**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/4 - 11*w**3\/4 + 33*w**2\/4 - 37*w\/4 + 7\/2 = 0 for w.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.064.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -103. Suppose -3*v = -5*x - 44, -3*x - 4 = 2*v - 8. Calculate the remainder when p is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 15. Let o(g) = g + 1. Let j(u) = b(u) - 5*o(u). Calculate j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 21 - 1. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 62052?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237181225 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 4*o**2 + 4*o - 3. Let v be (4\/14)\/((-2)\/(-14)). Let d be z(v). Let p be (d\/(-2))\/(5\/(-1000)). Round p to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1010 and 3030?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -433118 (base 10) in base 15?\nAnswer: -884e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*l + 0)*(72 + 38 - 30).\nAnswer: 480*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(((-1512)\/(-104))\/(-63)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -33. What is the second derivative of o*x**2 - 26*x + 47*x + 29*x**2 wrt x?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-117))\/((-4)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 1. Let r(i) = 31*i**3 - 5*i + 5. Calculate 5*n(p) - r(p).\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -14baa6?\nAnswer: 14bac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1888 or -2\/9?\nAnswer: 3\/1888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1187 + -0.4\nAnswer: -1187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*u**3 - 4*u**2 - 55278 wrt u?\nAnswer: -258*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -540*x + 15716. Determine a(29).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 0*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4 - 37992184*h**3 + 87*h**2 + 354335 wrt h.\nAnswer: 48*h - 227953104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 + 2*g**3 - 5 + 6.\nAnswer: 2*g**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -411 (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4582301 + -1642430. Suppose -6*p + 73739871 = z. What is p rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*f**2*h*k + 2*f**2*h - 545*f**2*k**3 + 1841*f*h + 9*f*k**3 + 2*h*k**3 wrt f?\nAnswer: 50*h*k + 4*h - 1090*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2\/5)))**(-9))**(-5\/7) assuming w is positive.\nAnswer: w**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16632651 - 11?\nAnswer: 16632640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 13*h**4\/12 - h**3\/3 - 2*h**2 - 13*h + 1. Let y(d) be the first derivative of c(d). What is the tens digit of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 16 = p + 4*j, -3*j - 38 = 4*p. Let k = p + 12. Solve 2*l - n - 1 = 3, 0 = -3*l - k*n - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Suppose -5*s + 10*s = 10. Let c(q) = 2*q**2 - s*q**2 + 5*q**2. Determine y(c(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/12 - d**3\/6 - 174*d**2. Let c = -12 + 15. What is b(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v**3 + 81*v**2 - 17*v - 13. Let o(h) = -4*h**3 + 20*h**2 - 4*h - 3. What is -6*a(s) + 26*o(s)?\nAnswer: -2*s**3 + 34*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**2 - 8*j**2 - 4*j + 3*j**2 wrt j?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-864)*(13338\/126)\/19?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21331009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 12:33 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, and 2 u when four letters picked without replacement from {a: 3, u: 2, g: 1, j: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 - v**2)*(10 + 6 - 32) + v**2 + 0*v**2 + 1 + 3*v**2)*(-2*v - 1 + 1)*(1 - 4 - 5) to the form z*v**3 + l*v**2 + p*v + c and give z.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59.43881 meters?\nAnswer: 59438.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1666*p**5 - 14*p**4*q + p**2*q + p**2 - 683*p*q - 11*p wrt p.\nAnswer: 99960*p**2 - 336*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 241286 divided by -18\nAnswer: -120643\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.63 - 15.1737. Round b to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*r + 5*t, 2*r - 5*t - 35 = -12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433122?\nAnswer: 2, 29, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*n**3 - 3 - 6*n**3 + (-n**2 + 2 - 2)*(1 - 4*n - 1) as u*n**3 + q*n**2 + m + g*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 48985 + 49093 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 144\/96*-4*1\/(-24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2 + 3*o - 5*o + 2*o. Let m(l) = -6*l. Give m(i(n)).\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-0.81337\nAnswer: -0.0325348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, -5, 1619756 in descending order.\nAnswer: 1619756, 0.2, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 - 22 = -l, -5*i = -2*l - 11. What is the third derivative of 6*b**6 - l*b**6 + 13*b**2 + 13*b**6 wrt b?\nAnswer: 1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1789*w**3 - 66*w**4 - 1789*w**3 + (w**2 - 4*w**2 + w**2)*(w**2 - 2*w**2 + 3*w**2) to h*w**4 + j*w**3 + n*w**2 + i*w + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/774995 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2 + 2 + 12*z**2 - 10*z**2. Let l(t) = -40*t**2. Give l(m(y)).\nAnswer: -160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*(u*u**(-4\/9))\/u*u)\/((u*u**(-3))\/((u\/(u*u**(-14)))\/u)) assuming u is positive.\nAnswer: u**(239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33643526 (base 7) to base 13.\nAnswer: -7ba097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199200538, -199200535, -199200530, -199200523?\nAnswer: -199200514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -11) + (1 - -1) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110419606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-9)*((0 - 8) + -1). Find the third derivative of 37*c**2 - 17*c**2 - 18*c**2 - p*c**3 + 34*c**3 wrt c.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.1? (a) -221 (b) 0.1 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.354386 from -29335.\nAnswer: -29344.354386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 0.9098 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129725 bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from qqmqqqmem.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/5 (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44435 divided by -5.\nAnswer: -8887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63894.\nAnswer: 2, 3, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 6)*-4 - 4. Let v(s) = -s**3 - s + 1. Let h be (-1)\/(-3) + (-8)\/(-12). Let t(x) = 2*x**3 + x - 4. Give h*t(a) + y*v(a).\nAnswer: -2*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, m: 6, l: 5, r: 1, s: 2}. What is prob of sequence llrs?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 155 = 2*s, 2*s + 3*z = -135. Let d = 13 - s. Suppose j = -0*j + 11. What is the highest common divisor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q - 3. Let g(w) = -w**3 - 4*w**2 + 6*w + 2. Let m be g(-5). Let d(y) = -2*y + 2. Determine m*d(f) - 2*s(f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.1. Let j = -2.96 + v. Let m = -2 - -3. Which is the second smallest value? (a) m (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 40*x**4 + 218*x**3 - 36*x**2 - 1296*x.\nAnswer: 2*x*(x - 9)**2*(x - 4)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -61*p. Let l(j) = 1220*j. Calculate l(s(k)).\nAnswer: -74420*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15026 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**2\/5 + 324246*q\/5 - 4220268.\nAnswer: 6*(q - 65)*(q + 54106)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*b + 6*b - 636 - 318 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 125*c. Let p(y) = 24502*y**2 - 2*y - 3. What is p(o(q))?\nAnswer: 382843750*q**2 - 250*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4637440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 227820810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55\/2 of a micrometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/15 + (21\/(-9) - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 48 = -79*f + 75*f + 30, 14*i + 20 = -4*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2992588\nAnswer: 3\/1496294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*k = 6*k + 64, -4*x - 4*k + 32 = 0. Suppose -3*n = -x - 27. Let q = 1 + 4. What is the remainder when n is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/4, -0.18, 0.03, -1?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f - f + 7*f + 5 - 9*f**2. Let p(q) = -5*q**2 + 3*q + 3. Let g(n) = 3*o(n) - 5*p(n). What is the second derivative of g(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = -536 - 304. Is 20 a factor of (-1514)\/(-2) - -6*(-20)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.926 + 0.074. Let w = g + -66.4. What is w rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7295*y - 2419*y + 3079*y + 3527*y.\nAnswer: 11482*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.1 - -21.7. Let k be ((-12)\/168)\/(2\/4). Let p = 1\/75 - -3\/25. What is the nearest to l in -2, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -562\/57 - -10\/19. Is l != -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/3)\/((-3)\/3). Suppose 7*s - 25 = y*s, -s = -3*m - 176. What is the common denominator of -107\/10 and (2 + 0)*m\/(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrhrrjfr. What is prob of picking 3 r?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 39*v - 26*v + 28 = -67*v, -2*o - 7*v - 6 = -3*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 537956, 537958, 537960, 537962, 537964, 537966?\n\"Answer: 2*f + 537954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3812037626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + h = 179, -4*m - 2*h + 20 = -158. Let v(c) = -236*c - 3535. Let w be v(-15). What is the greatest common factor of m and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 14. Suppose 0 = -4*h + 4*k + k - 1, -4*k + 26 = h. Calculate the least common multiple of o\/(-3) + 2\/h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1734560 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*sqrt(144)\/sqrt(3).\nAnswer: 1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 158*o - 2. Let r(v) = v**2 - 33*v. Calculate m(r(d)).\nAnswer: 158*d**2 - 5214*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 7*f**4\/12 + f**3 - 5*f**2\/2 - 13*f. Let t(b) = 6*b**2 + 5*b - 4. What is 4*s(q) - 5*t(q)?\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let u(g) be the first derivative of 2*g**5\/15 - 3*g**2\/2 - 41. Let v(x) be the second derivative of u(x). Calculate v(o(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 11*d**2 + 13*d + 15. Let m be j(-12). What is the first derivative of l**2 - m + 2 - 3 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059493124 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27) - 19\/((-2052)\/(-1272))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397461 is divided by 184?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*r - 4*r. Suppose 5*g - 4 - 1 = -5*y, 2*y + 3*g = -2. Is y <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 12. Suppose -2*u + 0*c + 4 = 5*c, 2*u = c - o. What are the prime factors of (-5)\/((-30)\/(-142))*u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200625770.5 - -0.8?\nAnswer: -200625769.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 10. Suppose 2*d - 23 = -3*q, 5*q - q - 36 = -4*d. Suppose 4*c - 8 = -d*l + 2*l, -3*l - 4 = 2*c. Let b be 3 - l\/((-16)\/(-12)). Give w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wweeew. What is prob of picking 2 e and 1 w?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 38. Let c be y(-9). Let p(t) = 2*t**3 - 2*t. Let u(b) = -4*b**3 + 5*b. Give c*u(i) - 5*p(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 131761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57589*q**2*y**2 + 23*q*y + 541280*y**2 + 2*y wrt q?\nAnswer: 115178*q*y**2 + 23*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-7) - 26\/(-14). Suppose a*c + 0*c + 4*l + 8 = 0, 0 = c - 3*l + 9. Let r(f) = -f. Calculate the least common multiple of r(c) and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23*q**2 - 737*q + 39. Give c(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3. Let o be r(1). Suppose -o*y + 22 = 2*i, -2*i + 3*i = 5*y - 31. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1972*h - 1967*h - 12000. Is h a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001101101111 (base 2) to base 5.\nAnswer: -11301104","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 6*h**3 + 2 + 4*h**3.\nAnswer: -2*h**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 14) to base 11.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5730 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4970.7 + -4971. Let h be (-1)\/1 - (-4 - (-156)\/32). What is the nearest to -1\/5 in -2, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-2)\/((-8)\/3)). Let u be (-12)\/9*(-3 - z - 2). Let a(g) = g**3 + g**2 - g + 4. Let j be a(0). Is u at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 9 + 103. Let i = a + 31. Let g be (-8)\/i*(2 - 0). Sort 0, 5, g in descending order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.069833 or 22?\nAnswer: 0.069833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -6*n + 2*n, n + 1 = 0. Suppose 14 - 5 = 5*r + a, a = -r + g. Solve -m + r*h = 2*m + 4, -5*h = -m - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5935 - -5940. Let i = -5.11 + 0.11. Put s, -1\/2, i in ascending order.\nAnswer: i, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 >= 3942054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 1\/6, 2, -12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (5 + 120)) + -42 + 40?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(-2 + -3 + sqrt(13) - (-3*sqrt(156) + sqrt(156))\/sqrt(12)).\nAnswer: -6*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9021, 75166, 255541, 607260, 1187437?\n\"Answer: 9519*i**3 + i**2 - 491*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31, -46, -49, -40?\n\"Answer: 6*f**2 - 33*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in 2\/19, 0.4, -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 3, 547, 11.\nAnswer: -404, 3, 11, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (44 - -41)*(-68)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 36159.\nAnswer: 72318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3062713.\nAnswer: 1601, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (83603739\/(-39345))\/17 - -125?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 i, and 1 v when four letters picked without replacement from vkkuvukikikzuku.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**2 - 212899*b + 638701. Calculate m(3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 10*m - 6. Let h(x) = 6*x**2 - 30*x - 18. Let o(s) = -3*h(s) + 8*w(s). Give o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 7\/5478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*p = -4, 5*c + 0*p - p - 1 = 0. Suppose a - 10 - 3 = c. What is the remainder when 38 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -0*c - c, -m + 5*c = -18. Let f(k) = 29*k + 11. Let w(v) = -105*v - 39. Let x(z) = -18*f(z) - 5*w(z). What is x(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -3)*(0 + 4 + -3). Put 3, 2, -3, n in decreasing order.\nAnswer: n, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7*(-253)\/(60720\/25620).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -65. Find the third derivative of 17*j**6 + 193*j**2 - 120*j**2 - 107*j**i wrt j.\nAnswer: 2040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*3\/630 - (-3080)\/75?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1621, -3244, -4867, -6490, -8113, -9736?\n\"Answer: -1623*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/14*15\/9*(-2)\/2.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 20 = -u, 4*k + 5*u = 0. Which is the closest to -2\/5? (a) -12 (b) 0.06 (c) k (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(1*sqrt(12)) + sqrt(165)\/(1*sqrt(11) + sqrt(11)))\/(sqrt(48)*1*-4).\nAnswer: -3*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - 3*g + 1)*(248 + 91*g - 491 + 244).\nAnswer: 91*g**2 + 92*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 8*q - 180. Suppose 0 = l + 8*l - q. Find the second derivative of -c**4 + 9*c - 24*c**4 - 3*c**l wrt c.\nAnswer: -336*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 2)*1\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 29*n + 28 - 29*n to the form x*n + h*n**2 + s and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by ((-26)\/4)\/((-2)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let x = 5 + g. Sort x, -1, 2.\nAnswer: -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 2, m: 2, y: 1, w: 1, o: 2}. Give prob of picking 1 o, 2 g, and 1 w.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gpyyyydg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5735721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2211201?\nAnswer: -2211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2676.9300046 + 2676.96. Let p = 25.97 - 26. Let z = m + p. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mggh when four letters picked without replacement from {m: 2, h: 6, k: 3, g: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -248*s**3 + 20451 + 20*s + 815*s**3 - 20493. Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-12)*(6 - 20\/10). Let m(w) be the second derivative of 0 + w - 1\/15*w**u - 1\/10*w**2 - 1\/60*w**4. Factor m(f).\nAnswer: -(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/18) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = 3. Let o = -9 - -9. Let b = o - 3. Are b and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1202 + 2500 - 1110)*(0 + 2*i + 0) to the form v*i + f and give v.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*c**3*x**2 + 203*c**2*x**2 - 2*x**2 - 2034*x - 1 wrt c.\nAnswer: -69*c**2*x**2 + 406*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 8*u**2 - 11*u - 15. Let w be v(-7). Suppose 3*h - 4*h = -w. Calculate the greatest common divisor of 52 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1398446 and 0.3.\nAnswer: -419533.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 + 2)*4\/(-12). What is the remainder when 7 is divided by 3 - (-1 + b\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -112, -109, -104, -97, -88, -77?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 8, 4*w + 4*b = w - 31. What is the nearest to -3 in 1\/4, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186560 (base 10) to base 8\nAnswer: -554300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 10*d**2 + 6*d - 10. Let y be c(-8). Suppose -11*r + y = -9*r. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/7 - 26*g**2\/7 + 48*g\/7 - 18\/7.\nAnswer: 2*(g - 3)**2*(2*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1811*u**2 + 24292*u.\nAnswer: 3622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 x, and 1 o when four letters picked without replacement from gbyogybbxobo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, -1903, -7224, -17783, -35326, -61599, -98348, -147319?\n\"Answer: -291*m**3 + 208*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) -12085 (b) 3\/2 (c) 2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578 (base 12) to base 15.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 0. Let h be 1\/(-4) - (0 + i). Let y = -158 + 1104\/7. What is the closest to h in 2\/11, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (-6*(-2 + sqrt(72))**2 - sqrt(72) - ((sqrt(72) + (-2 + sqrt(72) - sqrt(72)))**2 + 5))*-4)*-4.\nAnswer: -8560 + 2592*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viv when three letters picked without replacement from {o: 1, w: 2, v: 13, i: 1, s: 1, t: 2}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17\/32 - 1\/32. What is the biggest value in 2, o, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9645603.575 + -2183.\nAnswer: 9643420.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from wxwxxwffwwww.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - t + 4*t + 18, 1 = z + 4*t. Suppose -2*j + 5*b = -28 - 1, z*j + 5 = -3*b. List the prime factors of j*33\/6 + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 774667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 4\/(1 + 1). Suppose 7*a - t*a = 20. Find the first derivative of a + 2*d + d + d wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + i - 8 = -i, -5*u = 4*i - 16. Suppose 0 = -4*o - u*o + 4*v - 4, -3*v + 21 = 3*o. Suppose o*j - 43 = 35. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 8 = -10*u. Let h(b) be the second derivative of b - 3\/2*b**2 + 2\/3*b**3 + 0 - 1\/12*b**u. What is h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 20*o - 48.\nAnswer: 2*(o - 12)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 3, 9, -2\/97 in descending order.\nAnswer: 9, 3, 2\/17, -2\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/10)\/(((-4)\/18)\/((-1415)\/(-849))).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 318\/(-10))\/(876\/6570). Calculate the highest common divisor of 31242 and q.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + 114 + (-4 - 50)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 972 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-7)*(-4)\/(-56)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70.8 - 1.8. Let z = h + -75. Which is the fourth smallest value? (a) -0.4 (b) -3 (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 - (-5 + 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*p - 9*m + 12, 0 = -2*p - 2*m + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35 and -627.\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11895536539907 from 0.3.\nAnswer: 11895536539907.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 587 times 111\nAnswer: 65157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Factor -9*j**3 - 48*j**s - 3*j**4 + 12*j + 48*j**2.\nAnswer: -3*j*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 178 - 176 = 0. Let h = m + -52. Solve -h*j + 8*j = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(7) - (sqrt(70) + (sqrt(70)*-1 - sqrt(70) - sqrt(70)))\/sqrt(10)) + 3)**2 + (sqrt(7) + -1*sqrt(252) - (-3*sqrt(84))\/sqrt(12)).\nAnswer: 34*sqrt(7) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.4, 14050?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001798463 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*o**2 - 39*o**2 - 34*o**2)*(3 - 5 + 0) + (-o + 3*o - o)*(-4*o + o + o) in the form l*o**2 + q + g*o and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 13*z + 492 = 0. Let c(l) = l**3 + 12*l**2 - l + 2. What is c(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/818 and 29\/20450.\nAnswer: 20450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116159?\nAnswer: 116159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24962, -24968, -24978, -24992?\n\"Answer: -2*x**2 - 24960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 - 7*v**3\/3 - 65*v**2\/2 - 2*v + 59. Let m(z) = -z**2 + 2*z - 1. Let j(w) = -6*m(w) - u(w). Differentiate j(t) wrt t.\nAnswer: 10*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let w be m - (1 + (-4 - 1)). Suppose 2*i + 4*h = 0, i + w*h = 2*i - 7. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**2\/a)*a)**20\/(a\/a**(1\/3))**48 assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 1 - 1 + (y - 4*y + 0*y)*(0 - 1 + 0) + y + 2*y - y - 3*y + 2*y + 0*y + (-3 + 4 - 3)*(4*y - y - 4*y) - 5*y - 3*y + 5*y - y - y + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 + 2*j - 1. Suppose 2*a = -0 + 4. Let g be (a - (-1)\/1) + 2. What is the units digit of b(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 - 5*r**2 - 4*r - 126. Let q(d) = d**3 + 2*d**2 + d + 42. Let s(f) = -2*k(f) - 7*q(f). What is the units digit of s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 11) to base 10.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/6)\/(5\/10). Suppose -y*r + 995 = -1730. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**(6\/7)\/(z**1)**(2\/63))\/((z**(-2\/3))**(-47)*(z**9\/z)\/(z*(z*z*z\/(z**(-8)\/z)*z)\/z)) assuming z is positive.\nAnswer: z**(-1643\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 37.3 times -0.1\nAnswer: -3.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1546, 3093, 4616, 6103, 7542, 8921, 10228, 11451?\nAnswer: 12578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2106, 1, 3, -141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 1\/3*l**2 + 13\/3*l - 480 = 0.\nAnswer: -45, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 15*n - 30. Suppose -n*x = 3*u + 56, -2*u - 2*u - 3*x = 71. Let d(a) = -14*a**2 - 6*a + 20. Let r(t) = 5*t**2 + 2*t - 7. Give u*r(l) - 6*d(l).\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5465 = -275. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2 - 2)*(0*l + 0*l + 2*l**4) + 0*l**5 - l**5 - l**5 - 1205*l**5 - 823*l**5 - 825*l**5 + (l**5 + 0*l**5 - 3*l**5)*(-2 + 1 + 0).\nAnswer: -2855*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/7216 and -3\/352.\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1276, -2194, -2398, -1522, 800, 4934, 11246?\nAnswer: 20102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74, -112, -150, -188?\n\"Answer: -38*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 66 = k. Let w(l) = l**2 + 3*l - 3. What is w(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198328 or 198325?\nAnswer: 198328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, 4, -3115, -3, -1 in increasing order.\nAnswer: -3115, -4, -3, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5419*d**4 + 13376*d**2.\nAnswer: 130056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -50.563\nAnswer: 5.0563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 2807 = 935. Suppose -62 = -4*r + 2*j, -3*r + 5*j = 2*r - 80. Calculate the remainder when k is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 165 = -13*n. Let i be 22\/n*(-5)\/1. Suppose 2*w = 40 - i. Solve 2*g = -5*t - 23, -2*g = 2*g - 3*t - w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1 - (-51 + 47). Let m(y) = 31661*y + 20. Is m(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4*(-30)\/25. Let y(i) = -i**3 - 2*i**2 + 2*i - 3. Calculate y(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d - 6. Calculate the remainder when b(-23) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*p**3 - 132*p**2 + 845*p**3 + 134*p**2.\nAnswer: -p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 55 = -5*p, -2*p = 3*p - 2*j + 52. Let t be 0\/(p\/(3 + 2)). Factor 0 - 2\/5*d**2 + t*d.\nAnswer: -2*d**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295 divided by 85?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11226\/(-12)*(-2 + 1 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 4*h**2 - 12. Let a be 2\/(-4)*6*(-26)\/3. Suppose 4*n = 2 - a. What are the prime factors of d(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*b + 33 = 0, 390*l - 392*l + b = -8*b - 71 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*m**3 + 1787*m**2 + 233*m + 38.\nAnswer: 210*m + 3574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-247)\/(-143)*(-200 - -189)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n. Let c(b) = -35*b - 40. Let w(v) = -17*v - 16. Let d(x) = -6*c(x) + 15*w(x). What is g(d(k))?\nAnswer: 540*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2 + 44246208*d + 163143910198272 = 0?\nAnswer: -7374368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 + x**3 - 5*x**3)*(x - x + 2*x)*(-1 + 14 + 10) + (0 - 2 - 1)*(-8*x**4 + 6*x**4 - 10*x**4) - 3*x**4 + 2*x**4 + 4*x**4.\nAnswer: 85*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -f - 11, 4*r = f + 14. Suppose 5*x - 10 = 5*o, -8*x + 4*x = 4*o - 24. Solve 7 = -r*m + c + 3*c, -x*m - 6 = -2*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -3\/94 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15*h = 0. Solve 2*w + h*w - 5*i - 14 = 0, 2*w - 6 = i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:51 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 13*i = 0, -i = -3*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77322050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6241 + -149731\/24. What is the common denominator of w and -121\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3 + 42*b**2 - 38324*b + 228000 = 0.\nAnswer: -152, 6, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Let z be 5 - (-1 - (-2 + d)). Calculate the remainder when ((-22)\/(-6))\/(z\/12) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3811 rounded to one dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 8. Let i(v) = v + 11. Let p(b) = -1. Let n(l) = 2*i(l) + 22*p(l). Let g be n(1). Suppose -20 = -g*q + 6*q, 0 = -3*c + 3*q + 30. What is a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (300*r - 137*r - 139*r)*(-1 - 3 + 5) as d + j*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/6 + 34820504*s\/3 - 606233749407008\/3.\nAnswer: -(s - 34820504)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s**2 + 0*s**2 + s**2)*(74 + 63 + 20) - 2*s**2 - 2*s + 2*s to the form n*s + b + i*s**2 and give i.\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 13)*(-1 - 2 + 4)*(2 + 5 - 5)*(4*z - 3*z + 4*z).\nAnswer: -160*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-288)\/20*(-675)\/405. Solve -94*q = -90*q + u for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1872545 is divided by 145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m - 1026 = 117*m + 117*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107605 is divided by 2359?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**2 - 27*o**2 - 26*o**2 - 22*o**2 + 1.\nAnswer: -93*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011011 + -1010?\nAnswer: 1011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 29*l - 126 = 0. Suppose -3*m + 381 = -0*m. Let u = m - l. Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371.0734m to centimeters.\nAnswer: 37107.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (1 + 1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) 2\/9 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-26)*(-17 - -15)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/26)*u**(-13)\/u)\/(u\/((u\/u**(2\/7))\/u))**(1\/17))**(-35) assuming u is positive.\nAnswer: u**(187405\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 16. Let u = -27 + 9. Let j = u + 20. Solve -5 = r + l, -j*r - 1 = -n*l + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 12*c - 33. Let b be q(-7). Let k be 1\/(41000\/(-82020) - (-1)\/b). Suppose 43*d = 49*d - k. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 468 and 2953808?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 97278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10.08 times 899.6\nAnswer: -9067.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 4*g. Let o be b(6). Suppose -2*r - 3*r = -o. Suppose q - 5 = -2*c - 0, -2*c + 2*q = -2. Solve u - r = -c*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 3.11373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 7*m - 7. Let w(c) = -c**2 + 5*c - 5. Determine -5*o(v) + 7*w(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70240593.\nAnswer: 3, 251, 93281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-60)\/(-25))\/(-6))\/((-1)\/5). Let u(g) = -25*g**2 + 22*g**2 - 14*g**v. Let a(n) be the third derivative of n**4\/24 - n**2. Give u(a(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 3*w**2 - 20*w - 11. What is v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12314 times -0.5\nAnswer: -6157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -2, 1\/14, -0.3, -8\/14787?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7441*c + 1 = -7440*c - i, 5*i - 22 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (32 - -36) + 16?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - z - 5 = 0, 3*w - 7 = 2*z + 8. Let t be 5\/(5*2\/10). Factor -3*v**5 + 9*v**4 - 9*v**3 + 3*v**2 + 5 + 0*v**w - t.\nAnswer: -3*v**2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:21 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from azzzzzzzzzzz.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**3 + 2*u**2 - 3. Let z(a) = a**3. Let r(o) = -m(o) + 4*z(o). Let x(f) = -5*f**3 - 3*f**2 + 4. Give -4*r(i) + 3*x(i).\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22560697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + n = -140, -2*w = -w - 3*n - 24. Suppose -38 = -p + w. Let z = 115 - p. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459654.\nAnswer: 2, 3, 13, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*p**2 + p - p - 168*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (625\/1250)\/(2\/(-188))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/256*320\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 429\/10 (b) -0.3 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 629*r**3 - 6*r + 1. Is a(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 5*s**4\/24 - s**3\/2 + 28*s**2. Suppose -2*a + 10 = -3*m, 3 = 3*a + m - 1. Calculate f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 5*l - 90 = v, -v + 21 = 2*l. Suppose -5*f = v - 0. Let m = 1312 + -1313. Sort -5, f, m.\nAnswer: -5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 150. Suppose 3*u - h = 28. Let b = u + -19. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29 and 0.204.\nAnswer: -28.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1251.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2981376 is divided by 1881.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2877995037?\nAnswer: 3, 19, 23, 83, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 11*d + 15. Let l be v(9). Does 11 divide 11\/(-66) - l\/((-54)\/(-4431))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894226594?\nAnswer: 2, 13, 23, 1693, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(101 - 14*f - 2*f + 17*f).\nAnswer: -f - 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from lljqsjsqqeqn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.01, -225.6, -1\/2, 3\/4 in increasing order.\nAnswer: -225.6, -1\/2, 0.01, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337*x + 301*x = -24*x - 94564 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*b - 25 = 0, -v + 2*b + 10 - 2 = 0. Let x be v\/(-9) - 112\/(-63). Suppose -8*n + 6 = -x*n. Solve -4*a + 4*t - 28 = 0, -2*a + t - n = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65)*1 - (sqrt(65) - -2*(1*sqrt(65) + sqrt(65))))*2)\/(sqrt(180) - sqrt(180)*-4*-6).\nAnswer: 4*sqrt(13)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286796983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -446.39383 and -708.\nAnswer: -1154.39383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 10 = -2*o + 4*r, -3*o + 6 = -5*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 71*l**2 + 2*l - 2. Calculate s(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39634 + -0.0588?\nAnswer: -39634.0588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -1\/34, -2.335?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 4. Suppose o + 4 = -3*o. Let z be 0\/o - (-1 - 5). Suppose 3*b = b - z. What is k(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1836091241 to the nearest integer?\nAnswer: 42850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - sqrt(396)*2)\/sqrt(12))\/(sqrt(3)*1*5))**2 + (-2*sqrt(891) - (5 + sqrt(11) + 1)).\nAnswer: -19*sqrt(11) - 139\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -5.547.\nAnswer: -0.38829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 8*r - 13. Let n be o(4). Suppose 0 = -4*c - n*y - 25 - 5, -5*c + 5*y - 20 = 0. Is c\/(-10) - (-324)\/60 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 247\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14033.1 + 14033. Let m = 0.1 - 2.1. Which is the fourth smallest value? (a) n (b) -30 (c) m (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-42)\/16)\/((-99)\/(-44))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Suppose 6*n - 8 + 2 = 0. Give g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 * 0.2.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 493*t**2. Let r(b) = -b - 10. Let p(a) = -a - 14. Let q(z) = 5*p(z) - 7*r(z). Give q(f(u)).\nAnswer: 986*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 129871939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4376669 and -13\/46265.\nAnswer: 21883345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose -3*q - 4*f = -28, -r*q - 6 + 38 = 4*f. Solve -2*s = -q*h + 16, 3*h - 5*s = -4*s + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -3 + 5 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**4 - 1101128*i**3 - 557 + 1101128*i**3)*(4 + 1 - 4) to the form g*i + j*i**4 + b*i**2 + y + v*i**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-6 + 10 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2 - 0. Let p = 192 - 189. Suppose 0 = -5*n - 0*n. Sort p, n, t in decreasing order.\nAnswer: p, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57018, 57023, 57028, 57033, 57038?\n\"Answer: 5*z + 57013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1877988 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 792201130 to the power of 1\/2, to the nearest integer?\nAnswer: 28146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*m**4*y + 982*m**3*y + 5*m*y + 234*m wrt m?\nAnswer: 180*m**2*y + 5892*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 88 = -4*a, -4*t - 3*a = -122. Solve j - t = -7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2658 + 2686. Let m = -33 + 61. What is the greatest common factor of u and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -38. Suppose 3*b + 4 = 2*q, -2*q - i*b - b + 16 = 0. Suppose 2*x + 3*x = 90. What is the remainder when x is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - g**2 - 2*g + 1. Let n(h) = 52*h**3 - 20*h**2 - 40*h + 4. Determine -n(q) + 20*w(q).\nAnswer: -92*q**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/30280 and 82\/124905.\nAnswer: 999240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93857, 187751, 281643, 375527, 469397, 563247, 657071?\nAnswer: 750863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1315942 and 8288?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2, y = -0*y + 3*k - 7581. Let j = y + 75873\/10. Find the common denominator of 5\/9 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 - 1470*u**2 - 22155*u + 23630 = 0. Calculate u.\nAnswer: -278, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40656 + 40651. Sort 5, b, -3, -4, 41 in descending order.\nAnswer: 41, 5, -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) + (-12)\/(-5). Suppose 0*s = -q*s. Find the second derivative of 3*t**4 - 6*t**4 + 2*t + s*t wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 37*z - 26*z + 570 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 1)*(0 + 4 - 2) + 1 - 2 - 4)*(-609*y + 4 + 628*y - 3 + 0 + 0 + 2*y + (-4*y + y + 2*y)*(0 + 0 + 1))*(1 + 0 + 2).\nAnswer: -60*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y**3 + 259*y**2 + 200*y - 183. Determine g(11).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {x: 1, l: 2, o: 1, j: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22461.\nAnswer: 3, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 61 + 119 - 75)*(0*w**2 - 2*w**2 + 3*w**2).\nAnswer: 2*w**3 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.055 - 3.055. Let o = -29\/20 - -11\/5. Which is the closest to 2? (a) -2\/5 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306 + -120. 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 the third derivative of 52274845*o**5 - 11*o**2 - 115*o + 11667 wrt o?\nAnswer: 3136490700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1005848 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/(t\/(t**2\/t)))))**(-2\/81))**11)**(-19) assuming t is positive.\nAnswer: t**(836\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-28)\/336*202).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 3*i + 825 = 26*u, 0 = i - 4. Which is bigger: u or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*3\/9. What is the second biggest value in 1\/5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 3:07 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.002 + 13. Let l = 0.228 - j. Let u = l - 0.2446. What is u rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43539 is divided by 10860?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6126.811 decades?\nAnswer: 61268.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 7*q - 143. Suppose -t - y = -2 + q, -2*t - 4*y = 20. What are the prime factors of -12*(87\/t + 2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7017 by 2339.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3640000 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p + 19*p - 9*p. Let h(m) be the third derivative of -m**5\/15 - 1190*m**2. What is h(l(r))?\nAnswer: -1444*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 - z + 1. Let b(p) = -27*p**3 + p**2 + 5*p + 3. Let h(i) = -b(i) + 3*l(i). Factor h(s).\nAnswer: 4*s*(2*s + 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 5. Let b(w) = -w**2 - 12*w + 24. Suppose -5 = 3*n + 37. Let q be b(n). Calculate j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/12 + 4*s**3\/3 - 5*s**2\/2 + 86*s - 198. Let p(k) be the first derivative of z(k). What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3775461864 divided by -6\nAnswer: 629243644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-21)\/6)\/(-7)). What is the first derivative of -a*j**3 + 8*j - 8*j - 4 wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98)*-1 + 5)*5 + (sqrt(98) + 1 + sqrt(98) + sqrt(98) + -5)*-5)*-6)**2 + 5.\nAnswer: -453600*sqrt(2) + 1484105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 + 13 = 2*y, -2*y + 14 = 3*x. Let p(o) be the second derivative of 0*o**2 + 3\/4*o**y + 3\/20*o**5 + o**3 + 0 - 4*o. Determine i so that p(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.52 - 2.2. Let m = 0.32 - j. What is the nearest to 5\/3 in m, -1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1700.623 meters to kilometers.\nAnswer: 1.700623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.403 and -1355999868.\nAnswer: -1355999872.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.42 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(272) + 1))**2 - (sqrt(272) - (0 + sqrt(272))*4)) + -3 - -2*((6*(1 + sqrt(17)))**2 - (-2 + sqrt(17) + -1)).\nAnswer: 162*sqrt(17) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000100110111101100 (base 2) to base 8\nAnswer: 1046754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3417256\/283 - 12075. Let b = 20527\/3962 - x. Find the common denominator of -109\/20 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26864 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*m - 33 = -2*c, -4*m + 9 = -c. Suppose 8 = -5*w + c*w. Suppose -r = -w*r + 108. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 25*g - 1. Let y be v(-1). Let x = y + 67. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.8421ml in litres?\nAnswer: 0.3258421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2) + (-22)\/14. Suppose -4*s + 45 = 161. Let l = 33 + s. Which is the biggest value? (a) l (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85081.\nAnswer: 85081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2\/125 of a millennium?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = 3*z - 195, -5*z - 283 = -3*t. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53966.94 decades to years.\nAnswer: 539669.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77359319699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66822 or 66717?\nAnswer: 66822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 1302*i + 52425. What is r(-471)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 1 + 1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 807820.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3 - -1)*15. Suppose 89 = 4*h - q. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - 0. Find the common denominator of 18\/7 and v + (-372)\/(-8) + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 13) in base 3?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/(w*w*w*w**(-3)))\/(w**(1\/3)\/w*w)**(-10\/11)*(w*w**(-3\/7)*w)\/w**(1\/10)*((w*w**(-1))\/w)**(2\/5) assuming w is positive.\nAnswer: w**(2945\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -1.4. Let m = -24.307 - -0.107. Let p = -24 - m. What is the third biggest value in -11\/5, g, p?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 55 + 19)*(7 - 3*p - 8*p + 14*p).\nAnswer: -48*p - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*i + 5*v, -4*i - 41 = -v - 7. Let w = i + 7. Is w at most as big as -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1 - 4 - 3 + x. Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 + 10*t**4.\nAnswer: -5*t**4*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 7208?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) - (sqrt(70) - -1*(sqrt(70) + 1*sqrt(70)))))\/((-2*sqrt(20))\/sqrt(2) + ((2*sqrt(120))\/sqrt(12) - sqrt(10))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1 + -3 - sqrt(7) - (-1*sqrt(1008) + sqrt(1008))**2.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 609? (a) -1 (b) 0 (c) 1934 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(75).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -452, -1803, -4056, -7211, -11268, -16227?\n\"Answer: -451*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 277 - 835 = 0. What is the remainder when o is divided by 1 + 30\/((-2)\/(-1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -5 (b) 0.2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -33*g**3 + 24*g**2 - 9*g. Let d(m) = 16*m**3 - 12*m**2 + 5*m. Let k(v) = 9*d(v) + 5*x(v). Find the third derivative of k(i) wrt i.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6483.26184 rounded to 1 dp?\nAnswer: 6483.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1066*u**2 - 1035*u**2 - 1065*u**2 + 3225*u**2.\nAnswer: 59*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.94 + -51.44. Let x = -50.4999739 - h. Round x to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 14 + 7 - 2*k**3 + 2.\nAnswer: -2*k**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6617\/3350 - 131\/67. Is n greater than -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66679 + -31350. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(275)*-4)**2 + sqrt(275)) + -4.\nAnswer: -35204 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2505, -2503, -2501?\n\"Answer: 2*r - 2507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*y**3 + 177*y**3 - 32*y**3 + 342*y**3.\nAnswer: 403*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -462870*x**3 + 740*x**2 - 297?\nAnswer: -2777220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 = i, 37*i = 5*z + 39*i + 43 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffe when three letters picked without replacement from feyfyeeeekefy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4732*d + 82103. Determine i(17).\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - -27 - -51 - 67.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(352) + sqrt(88)\/sqrt(4)*-4)\/((sqrt(110)\/(sqrt(20)\/sqrt(2)) + sqrt(11))*6))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -2*y. Calculate the lowest common multiple of 1 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 27. What are the prime factors of (-3)\/(9\/426)*a\/6?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -739*p**5\/6 - 90157*p**4\/6 - 500981*p**3\/3 - 487514*p**2 + 660*p = 0.\nAnswer: -110, -6, 0, 1\/739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77313952 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -32*d + 27. What are the prime factors of n(-9)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -12*s. Calculate the remainder when (-8)\/((-48)\/18)*21*s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - -19) + -2 + -12\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/2 - 3244*9\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/22 + 64*o**3\/33 - 67*o**2\/11 + 68*o\/11 + 202. Factor t(b).\nAnswer: 2*(b - 1)**2*(b + 34)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*g + 2795*g = 140662 - 68746 + 153372 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*v**3 - 268*v + 647*v**3 - 260*v + 169 + 528*v.\nAnswer: 612*v**3 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8439.48767 + -262018929.71233. Let q = 262027292.19999906 + r. Let h = 77 + q. What is h rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:28 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30764 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: 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: Let b(n) = 26 + n + n**2 - 11 - 12. Determine b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 0*w - 10608 = 0. Let x = -315 - w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -33, -56 in increasing order.\nAnswer: -56, -33, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2. Let y(f) = -8 - 12*f - 1 + 9. What is n(y(z))?\nAnswer: 1728*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 25. Suppose 2 = -2*b + y. Suppose 0 = -3*g + 4*g - 2. What is the remainder when b is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -149, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**7\/70 + 3*f**6\/40 - 7*f**5\/20 - 15*f**4\/8 + 9*f**3 - 10*f**2 + 2*f. Factor h(v).\nAnswer: 3*(v - 2)*(v - 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108832, -108822, -108814, -108808, -108804, -108802, -108802?\nAnswer: -108804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-43))*c)\/c*c\/(((c\/(c**19*c))\/c)\/c))\/(c*c**(3\/7))**(-2\/15) assuming c is positive.\nAnswer: c**(1369\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -683? (a) 4\/3 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079854939 rounded to 6 decimal places?\nAnswer: 0.007985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.38? (a) -5 (b) -18 (c) 4 (d) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-25)*35\/28*20\/(-12)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2 - 2 + 0*i - i. Let f(u) = 2. Suppose -203 = -16*q - 219. Give q*f(t) + c(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 1080*s**2 + 1083*s**2 + 2*s**4 - 2162*s**2 as u + h*s**4 + o*s + g*s**3 + n*s**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/16 (b) -5 (c) -14\/31 (d) -11.3 (e) 1 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 5*n**2 - 3*n. Let d(u) = -260*u - 38227. Let i be d(-147). Let s(y) = 2*y**2 + 2*y**2 - 2*y**3 - 2*y - y**2. Give i*s(z) + 4*c(z).\nAnswer: 2*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/6 + n**2\/3 - 4*n\/3 = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7536 is divided by 505?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 4*k + 4. Let a(x) = -2*x**2 + x + 2. Let c be a(2). Let n(b) = 2*b**2 - 5*b - 5. Let i(y) = c*n(y) - 5*u(y). Determine i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 8:45 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n**2 + n**2 + (2*n + n + 2*n**2 + 4*n)*((0 - 4 + 1)*(2 + 2 - 6) + 7 - 3 - 2).\nAnswer: 18*n**2 + 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 101 - 242 = -91*f. Let u(h) = 10*h**3 + h**2 + 2*h + 3. Let z(d) = 11*d**3 + 2*d**2 + 2*d + 4. Give f*u(j) - 3*z(j).\nAnswer: 7*j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1 + 1 + 3 + -1. Let s = 6 + t. Suppose 0*b - 645 = -s*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + -0.2. Which is bigger: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = -3. What are the prime factors of g\/(-12) - (-237)\/9?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1 + -8.5. Let f = 0.36 + 0.04. Let g = k + f. Which is smaller: g or 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 4\/7 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2285218.88 (b) -0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 88683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*u)*(0 - 1 - 4)*(u**3 + u**3 + 0*u**3).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymymzmymyyyyyy. Give prob of sequence yzy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 3056 + 3001 = 0. Let s = -465 - u. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9728 or 1?\nAnswer: 3\/9728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(36)\/sqrt(2))\/sqrt(3))\/((-5*sqrt(288))\/sqrt(9))*-5.\nAnswer: -4 - 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/1 + -510791 - -2. Let w = i + 1110793. What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -7951\/1406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/8)\/((-4)\/(-8)). Let f be h*-1 + -7 + 20 + -5. Let d(l) = l**2 + 3*l + 3. Let y be d(-2). What is the highest common factor of y and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-4250)*-15*(-100)\/(-30)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 23 - 21 + 0 - 14*a.\nAnswer: -9*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37.80676 kilometers?\nAnswer: 37806760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0 - 3 + 2*q**2 - 3*q + 1. Is 16 a factor of x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 9*p - 3*p**2 - 9*p. Let j(q) = q. What is x(j(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l. Let z(s) = 2*s**2 - 3*s + 663. Give i(z(d)).\nAnswer: -14*d**2 + 21*d - 4641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 - 67.9. Let q = z - -68.4. What is q rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.019 - 39.981. Let m = u + 124. Let v = 84.57 - m. Round v to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:34 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -632, -9 in increasing order.\nAnswer: -632, -9, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18771 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 154.466ug?\nAnswer: 154466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a843 (base 11) in base 14?\nAnswer: a7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150920745 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21890 and 8.\nAnswer: 87560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4. Let p = 3 - t. Suppose 5*m + p*b = -1, 2*b + 4 = b. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500109285 to the power of 1\/2, to the nearest integer?\nAnswer: 59162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10675380 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6372, 6376, 6380, 6384, 6388, 6392?\nAnswer: 6396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 9:05 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 0.5. Which is the third smallest value? (a) f (b) 4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-13760)*-64)\/(1\/65).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 - 572699514*t - 572699517 = 0. Calculate t.\nAnswer: -1, 190899839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328372351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 21 = 4*r - 3, -13*l - 18 = r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2 - 4.1. Suppose m + 4 = 1. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-448*t + 45 + 224*t + 230*t)*(-5*t + 78 + 18*t - 75).\nAnswer: 78*t**2 + 603*t + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188227.\nAnswer: 13, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 4*i - 9 = 11*c, -3*i = -c + 10. What is c rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -4, -3 in increasing order.\nAnswer: -40, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1301128 (base 10) to base 15\nAnswer: -1aa7bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -143, -287, -431, -575, -719, -863?\n\"Answer: -144*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2711 + 0.0289. Which is the nearest to -0.01? (a) -19 (b) -0.2 (c) -4\/7 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d)\/((d\/(d\/((d**(-1)*d)\/d)))\/d*d)*d**(2\/19)*d**5)\/((d\/(d*d**(-1\/2))*d\/(d\/(d**(4\/9)*d*d))*d)\/(d\/d**(1\/2)*d**(-5))) assuming d is positive.\nAnswer: d**(-172\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 9 - (-16 - 33 - 17)) + -15.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 7*q + 35, q - 245*m = -240*m - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20110 (base 4) to base 15.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*h**2 + 0 + (-5 - 2 - 3)*(2*h + 2*h - 5*h)*(-4*h + 3*h + 2*h + (1 - 2 - 2)*(-6*h - 9*h + 0*h)) to the form s + x*h + v*h**2 and give v.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-2 + -23))\/(3\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -25*r**7\/441 + 2*r**6\/21 + 61*r**5\/210 - 11*r**4\/63 - 4*r**3\/7 - 8*r**2\/21 - r + 61. Let z(k) = 0. Calculate k.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840732.3 millimeters to centimeters.\nAnswer: 84073.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -12e9d?\nAnswer: -12e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/63, 0, -1, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2385\/39782 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-224)\/3 - (-5 + 65\/15). Let h = o - -73. Let a = -4.7 - -5. What is the second biggest value in h, 0.06, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 5)*(111\/(-36) + 3). Which is the smallest value? (a) -0.1 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((540\/(-105))\/(-9))\/((-2)\/(-1120)*8).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695736 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 274 + 27023?\nAnswer: 27307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -0.05469?\nAnswer: -2.02353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24920 + -24221. Suppose -g - 7 = -5*f + 11, 16 = 4*g + 2*f. Suppose 2*x = -x - 4*s + w, -2*x + 466 = g*s. What are the prime factors of x?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4108*p**2 + 2*p - 3. Let h(a) = 583*a. Determine h(y(u)).\nAnswer: 2394964*u**2 + 1166*u - 1749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 2) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 + 4*t**3 - 64*t**2 - 64*t = 0. What is t?\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, -5*p + 2*o + 120 + 993 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**2 + 12*n**2 - 20*n**2. Let c(j) = -127*j**2. Give s(c(p)).\nAnswer: 64516*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5938.6548 to the nearest one hundred.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. What is the third derivative of 3*q**4 + h*q**2 + 2*q**6 - 3*q**4 - 7*q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t*t*(t\/((t\/(((t\/(t\/t**(-2\/27)))\/t)\/t)*t*t)\/t*t))\/t*t**(3\/11)\/t*t\/t**(-2\/27))**(1\/44) assuming t is positive.\nAnswer: t**(-41\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 (base 4) in base 8?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 248 + 155 + 49)*(-d + 0 + 0).\nAnswer: -385*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 + 4*q - 2. Let w(k) = k - 10. Let j be w(7). What is the tens digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49561892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 13*x - 20 = 0. Let n(f) = -2*f**3 - 5 + 5*f**2 + 0 + 0. Let y(a) = -a**3 + 2*a**2 - 2. What is x*y(b) - 4*n(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/9 + 46*s**3\/9 - 292*s**2\/9 + 584*s\/9 - 112\/3 = 0 for s.\nAnswer: 1, 2, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let y be 16\/7 + 2\/(-7). Suppose y*n + 3 - 21 = 2*u, -4*u + 63 = 5*n. Solve -5*h - n = i, -4*w = -4*h - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 67361?\nAnswer: -67350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2 - w - 2)*(2 + 2*w**3 - 2).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 1, -2\/13, -1\/23, 1\/2?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 73 + 2*i + 0*i + 382.\nAnswer: 2*i + 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2361, 4, 0, -5, -4, -2.\nAnswer: -5, -4, -2, 0, 4, 2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 12 + 9 - 2*f**4 - 3*f**4 + f**3 - 14*f**2 as w*f**3 + d*f + v*f**2 + i + h*f**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -144. Calculate the greatest common divisor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 18*g - 12*g + 140 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = 0, 0*n + n = -2*b + 2. Let s be (-9)\/n*1600\/(-15). What is s rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 79\/3 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:17 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.287 * 3026\nAnswer: 868.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3897 by -9.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -561, -838, -1113, -1386, -1657?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712267429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.18, -7, 0.5, 513?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 5 + 6 + -39 + 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 76822975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3997 - 3248. What is the smallest common multiple of 856 and d?\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9 + 4 = 4*r, -3*k + 2*r = -27. Let a = 16 - k. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 + 553*g + 11413. What is q(-113)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432831646 to the power of 1\/2, to the nearest integer?\nAnswer: 73708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.7 * 2.79.\nAnswer: -149.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3831399317.\nAnswer: 23, 166582579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59.418 - -49.47. Let p = c - -10.04803. Let j = p + -0.1. Round j to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (8 - (17 + -11)) - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**5 + 873*v**4 + 18114*v**3 + 112923*v**2 + 203280*v + 107604 = 0.\nAnswer: -122, -14, -7, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 6, b: 2, i: 1, k: 5}. What is prob of picking 1 g and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46341154 and 8197.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4*(-1)\/4)\/(-1) - -2. Solve 2*p - 1 = i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 27 + 7. Suppose 64 = 8*o - t*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*n = 3*o - 46, 0 = 4*o + n - 113. Suppose -51 - o = -4*k. Suppose 4 = 3*t - k. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 11 = -21. Let a = l - -8. What is the tens digit of 29 + 5\/(a\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/2778 - 5479\/30558. What is the closest to -1 in 1\/2, j, 9, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5310592 and 25088.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + a**4 - a**4)*(-1078*a - 2047*a + 450*a).\nAnswer: 5350*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f + 3*l + 2, 5*l = -f + 12. Factor -3*w**4 + 1 + 1 - 3*w**2 + w + f*w - 7*w**3.\nAnswer: -(w + 1)**3*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:03 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h + 183. Let x be a(8). Suppose 94*p = x*p + 24705. Round p to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h - 294*h**2 + 2*h**5 + 2*h**4 - 81*h**6 - 2*h + 280*h**2 - 2*h**5 wrt h?\nAnswer: -9720*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*o + a + 2, -10 = -o - a. Let f(z) = z - 2. Let p = 11 - 5. What is the smallest common multiple of o and f(p)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/80)\/((-147)\/336)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 6. Let w be u(5). What is the second biggest value in w, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/(4*2\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -157*j**3 + 6*j**2 + j - 7. Is c(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51\/172 + 2\/43. Let z = 1.6 - -1. Let i = z + 0.4. Which is the third biggest value? (a) i (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -4 + (-22 - -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6328411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12910, 2, -60, 5, 3 in increasing order.\nAnswer: -12910, -60, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.7023476 months?\nAnswer: 0.001418623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150035\/5 + 11 - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 132?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 18. Let v = -38 - -46. Suppose -d - o = -v, 4*o - 20 = -5*d + 17. Let z be c(d). Solve 2*r + 0*r - i = 7, 4*i + 6 = -z*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -458 - -1245. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -14.3. Let x = y + -9. What is the second smallest value in -1\/3, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*d + 116*d - 9959. Let v = -430 - d. What is the smallest common multiple of (0 - 14)\/(-2) + 1 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545098 (base 12) to base 3.\nAnswer: -2111212110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 3*v + 2*h, -10 = 4*h + h. Calculate the remainder when v is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from dzodo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 163*x**2 - 270 + 109*x**2 + 126*x**2 + 695 - 59*x**2 wrt x?\nAnswer: 678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 2. Let g = h - -4. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x**2 - 66*x + 135. Let a(d) = -7*d**2 - 33*d + 67. Let m be 329\/(-63) + (-4)\/(-18). Let q(w) = m*a(w) + 3*j(w). Factor q(n).\nAnswer: -(n - 2)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1591 times 10\nAnswer: -15910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6321 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3310 (base 4) in base 7?\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*l - 13, -3*l = 2 + 1. Which is the biggest value? (a) 4 (b) -0.1 (c) i (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2625*x - 5254*x + 2626*x as s*x + m and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*c + 16, 0 = -3*j + 3*c - 32 + 11. Let o be j*((-16)\/(-10) + 0). Let x be (-202)\/o - 3\/12. What is the greatest common divisor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y**4 - 1648*y**3\/3 - 598*y**2 + 36*y + 224\/3 = 0.\nAnswer: -1, -2\/5, 1\/3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*((sqrt(1296)*-3 + sqrt(1296))\/(sqrt(98) - sqrt(98)*-3) + -2))**2*1.\nAnswer: -1074\/49 - 108*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 19, v: 1}. What is prob of picking 4 r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19833*i**2 + 9660*i**2 + 189*i**3 + 10173*i**2.\nAnswer: 189*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(sqrt(288)*-3)\/sqrt(12))\/((-2*sqrt(1536))\/(sqrt(8)*-2)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 + k + 14. Let i be m(4). Suppose -5*a + a + 16 = 0, 0 = 5*d - a + 19. Sort d, -6, i in decreasing order.\nAnswer: i, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 26 + 258 - 121 - 11*u**2 - 113*u**2.\nAnswer: -124*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p. Let a(v) = 73315*v**2. What is a(i(r))?\nAnswer: 4692160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -285*a + 10 + 144*a + 142*a. Let s be j(-7). Suppose 0 = -s*u - 50 + 497. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2. Let q(o) = -2177521*o. What is q(n(w))?\nAnswer: -10887605*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**3 + 7*g. Let t(r) = 4*r**3 - 2*r. Let q(y) = -8*t(y) - 3*v(y). Find the second derivative of q(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 - 213. Is (-4014)\/n - -8 - 7 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/81)\/(25\/(-216))*1*140\/84\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -175*x**3 + 2*x**2 - 11*x - 6. Let c be t(-4). Suppose -g + 5*u + 0*u + 2232 = 0, 3*u = 5*g - c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:01 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 264, 249, 218, 165, 84, -31, -186, -387?\n\"Answer: -x**3 - 2*x**2 - 2*x + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 264\/59 in 1\/17, -1\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 793869158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.01, -1.4, 0.1, 4\/11, -1, 62?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114000 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 108 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 70614*r\/5 + 70624.\nAnswer: -2*(r - 5)*(r + 35312)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of -18 - (14 + -30 + -31982)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1144250 + -14?\nAnswer: 1144232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1777998 and 666.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r**(-1))**(-3) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8)**(-1\/42)\/(v**1*v*v**4) assuming v is positive.\nAnswer: v**(-130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 7. Let c be r(5). Suppose -c*u = -5 + 14. Let k(y) = -5*y - y**2 - 2*y**2 - 4*y**2 + 6*y**2 - 2. Calculate k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axjtg. Give prob of picking 1 x and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0711 - -0.0777. Let d = f + -0.004702. What is d rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-13)*(-4)\/(-1). Suppose -5*b + 1 = -5*q + 31, -4 = y*b. Suppose d - 175 = -3*d - q*h, 4*h = -20. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 754 = -661. Let q = -3.13 + 2.04. What is the biggest value in -2\/11, 0, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4758 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -45226.342771758 + -0.4\nAnswer: -45226.742771758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9749 (base 15) to base 10.\nAnswer: 32019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 14848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 79337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 7*j**2 + 3. Let b be l(-7). What is the first derivative of 75*z**b - 17 + 71*z**3 - 162*z**3 wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**14\/t)\/t)\/(t*t\/(t**(-1\/13)*t)*t*t*t)*(t**(2\/23))**(21\/4) assuming t is positive.\nAnswer: t**(5011\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 - -76. Let s be 8\/(-36) + b\/(-9). Suppose -2*k - 2 = -x, k + 4 = 3*k - s*x. Put -1, k, 3 in descending order.\nAnswer: 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10384 and 276592.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32*12\/768*(0 + -1 + -21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/4 + 12*c**3 - 81*c**2 + 8*c + 432 = 0?\nAnswer: -54, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -486, -493, -512, -549, -610?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161997427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)*y*y)**(-8)*(y*(y*y**(1\/3)\/y*y*y*y)\/y)**(-29) assuming y is positive.\nAnswer: y**(-998\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45818 divided by -5.\nAnswer: -45818\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 3*u**2 + u**2 - 33 + 19 - 8*u**2 - u**3.\nAnswer: -u**3 - 10*u**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -90*v. Let g(s) = -2*s**2 - 8992. Give g(a(w)).\nAnswer: -16200*w**2 - 8992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 4, m: 9, q: 4, z: 1}. Give prob of sequence nymz.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-35))\/((-4)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*10.93.\nAnswer: -0.1093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.4 (b) -5 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.364 and 50.22.\nAnswer: 50.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 + 92*o**3 - 2 - 1 - 13*o**2.\nAnswer: 92*o**3 + 3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*r + 4, -127*f - r = -125*f + 13 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022012021 + -1210?\nAnswer: 20022010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 39 = 18*l. Suppose -2*b = 9*n - 6*n - 115, -n - 209 = -l*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3491.3211 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111111100 + -11?\nAnswer: -11100111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 77 - 35. Factor 327 - k + 30*n**2 - 126 - 124 - 40*n + 5*n**4 + 40*n**3.\nAnswer: 5*(n - 1)*(n + 1)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384540 and 53515150.\nAnswer: 321090900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 289*k - 12785. What is the least common multiple of a(50) and 2220?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338660 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28429393b - -4?\nAnswer: 284293943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2256, -4243, -6230?\n\"Answer: -1987*w - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 13*p**2 - 30*p + 4. Let x be u(-15). Let j be 2\/2*(-1 + 6). Find the third derivative of r**j - x*r**2 + 6*r**2 + 0*r**2 wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.6 (b) 3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209\/7 bigger than 457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/27, -82, 0.1, 246.\nAnswer: -82, 1\/27, 0.1, 4, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - 4*k**3 - 15*k**2 - 37*k**2 - 73*k**2.\nAnswer: -k**3 - 125*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -394 - ((-4)\/(80\/(-45)))\/((-45)\/(-120)). Is -395 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57465?\nAnswer: 3, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 2. Let f be s(7). Suppose f*d - 4*y - 170 = 0, -d = -3*y - 22 - 23. Suppose 0 = 4*h + o + o - d, -o - 21 = -4*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3 + r + 6 - 7*r + 95*r + 123*r + (-4 + 1 + 2)*(4*r - 3*r + r) - 3*r + 2*r - r + 3*r + 0*r + 7 - 2*r.\nAnswer: 209*r + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 11997, -3, 2 in descending order.\nAnswer: 11997, 2, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -1, 15, 27, 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-5)\/v*v\/(v*v**(-6\/11)\/v*v*v))\/((v*v*v*v*v**(-7\/3)*v*v)\/(v*(v\/((v\/(v\/(v*v\/(v\/(v**(3\/5)*v)))))\/v))\/v)))**1)**(10\/3) assuming v is positive.\nAnswer: v**(-3208\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -242*g - 41939. Calculate u(-179).\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/60 - 7*q**3\/6 + 5*q**2. Let p be o(-8). Suppose -3*l + p = -0*l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 33, 40, 47?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 130. Which is the second smallest value? (a) -1.4 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.064493ml in litres?\nAnswer: 0.007064493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140616 by 31.\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 3376745?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 - 4 = -3*n, -5*z = -4*n - 40. Suppose 3*c = -c + z. Suppose -4*j = -4*i, c = -5*i - j + 19. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24046.\nAnswer: 2, 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.031 and -0.4?\nAnswer: 0.8124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -803*n - 576*n - 757 + 762. Let z be o(5). What is z rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*a - 35 = 0, 4 = 5*c + 5*a - 6. Let o be 3 - (-7 - (-18)\/6). What is the second derivative of 11*u - o*u + 12*u - 27*u**c - 3*u wrt u?\nAnswer: -540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.49, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 108694, 1, -1, -2 in increasing order.\nAnswer: -3, -2, -1, 1, 3, 108694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 + 14*i**3\/5 - 16*i**2\/5.\nAnswer: 2*i**2*(i - 1)*(i + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3240.1, -2\/17, 4\/5 in descending order.\nAnswer: 4\/5, -2\/17, -3240.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3567, 6848, 9839, 12546, 14975, 17132?\n\"Answer: r**3 - 151*r**2 + 3727*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q - 3. Let z be r(-3). Suppose 5*v + 10 = 0, 3*i - z - 1 = -4*v. Calculate the remainder when 68 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -9, -194 in descending order.\nAnswer: 15, 2, -9, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 4, -0.03, 3\/40, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.3, 0.4, -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y = -92*y + 9056066. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in -1, -0.3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 7:13 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 304\/9. Let u(w) = -w**2 - 5*w - 4. Let b be u(-4). Factor -i*r**3 - 4\/9*r**2 + 0*r + b.\nAnswer: -2*r**2*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6156 <= 6312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3140957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7)\/((-84882)\/(-4606))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387275?\nAnswer: 5, 7, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244, -242, -232, -208, -164, -94, 8?\n\"Answer: d**3 - 2*d**2 + d - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i. Let r be (-15)\/(-6)*-1*-94. Let y(o) = r - 235 - 6*o**2 + 10*o**2. What is f(y(v))?\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 40266.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 863, 883, 923, 989, 1087, 1223?\n\"Answer: s**3 + 4*s**2 + s + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -4 (c) 0 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -d - 34, -3*d - 20 + 14 = 0. Let x = -2 + 4. Suppose 8 = -i - 3*b - 3, -x*i + b = -13. Solve -3*k = j + i + 7, g = -2*k - 5*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-8)*23\/((-345)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 10. What is the smallest common multiple of 3*(3 + 2\/w) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.62 + 0.28. Let i = c + -0.47. Let k = 0.83 - i. Are k and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 339 + -386 - (-30 - -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15848 (base 11) in base 5?\nAnswer: -1203231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**8\/420 + t**6\/72 + 5*t**3\/6 + 5*t**2. Let q(f) be the first derivative of i(f). Find the third derivative of q(b) wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 0 + (166 - 174)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 214067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3026, 12151, 27374, 48695?\nAnswer: 76114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57036 = 2*b - 104964. Round b to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -457.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -121*m**2\/2 - 14*m - 28. Let v be q(-3). Suppose -2*y + v + 135 = 0. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 354525\nAnswer: 354525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 92 - 182 = 0. Suppose 5*g = 3*b - z, 0 = -b + 2*b - 5*g - 39. Let s = 126 - b. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427967224 is divided by 743.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -13*v**2 - 4*v - 6. Let i(t) = 6*t**2 + 2*t + 3. Calculate 4*g(j) + 9*i(j).\nAnswer: 2*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2854, 2845, 2834, 2821, 2806, 2789?\nAnswer: 2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 983250 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 5, t: 9}. Give prob of picking 2 g and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.37*2.5\nAnswer: -5.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/(5\/40*-1). Let o(u) = -u**3 + 2*u**2 + u + 4. Let r be o(3). Is m at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248 - 167. Find the second derivative of 32*d**2 + 28*d + 164*d + 0*d**2 + 17*d**2 + y*d**2 wrt d.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - 46162148.\nAnswer: -46162148.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/8 - 177*v**3\/8 + 1131*v**2\/8 + 37577*v\/8 - 9633\/2 = 0.\nAnswer: -12, 1, 19, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(50)\/(sqrt(60)\/(sqrt(6) + sqrt(96))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - d?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 222*h**4 + 1980*h**3 - 3810*h**2 - 1983*h + 4032 = 0. Calculate h.\nAnswer: -1, 1, 3, 7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009146 to 5 dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2773\/9632 - 3\/1376. Let k = 10\/13 + -17\/39. What is the fourth biggest value in i, -5, 0.5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 49*s**2 - 9*s - 164. Let f be a(-49). Suppose h + 3*t = -18 - 139, -2*h = 2*t + 306. Let g = h + f. Is 44 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 - (-2 - (-4 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101057084 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429943 = 5*j - 2*p, -p + 37904 = j - 48093. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 2*z, -2*x + 3*z - 5*z = 0. Suppose 0*r = -x*r + 175. Solve -3*n = -4*w + r, 3*w - 3*n - 35 = n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 19*l**2 + 23*l + 23. Let t be k(-18). Let v = -39 - t. Suppose d = 5*d - v. Solve -1 + 5 = -2*u - x, u - 4*x - d = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/120 + (1 - 18\/20) + 565 is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*d**3 + 5*d**2 - d**2 + d**2 + 19.\nAnswer: -155*d**3 + 5*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 19, -0.5, -126, -5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -111*o + 37. What is the units digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 19 + 4 - r**2 - 21 in the form g + c*r**2 + k*r and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4701662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103357\/14 - 7388. What is the common denominator of 183\/84 - (9\/4)\/(-3) and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v + 4*q, 2*q = -3*v - 4 + 1. Calculate the least common multiple of (-30)\/(-4) + 6*85\/204 and 2\/v + -3 + 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -6*a + 352. What is the greatest common divisor of 858 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1734 - 1749 = 4*b, 0 = -4*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659 + 3785 = 142*l - 668 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3615909*w**4 + 456736*w**2 wrt w.\nAnswer: 86781816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 0, 10*i + 2*w - 8 = 7*i. Suppose i*a = 4*q + 198, 4*a = -0*a + 3*q + 381. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5, -0.1, 0.5, 1\/3525?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 36*f - 5. Let q be l(-36). Sort 1, 7, q in descending order.\nAnswer: 7, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = p + 154, 4*n - n - 6 = 0. What are the prime factors of (6 - 25\/5)*(0 - p)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*g**5\/5 + 9826*g**4\/5 + 18621*g**3\/5 - 9838*g**2 - 56804*g\/5 + 1272\/5 = 0.\nAnswer: -106, -3, -1, 2\/91, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1180 and 5318260.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/5 + 9*m**2 + 24*m + 4. Let o(w) be the second derivative of 25*w**4\/12 - 2*w. Give o(h(y)).\nAnswer: 3600*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(115\/(-30))*1\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 355 + -241. What is the first derivative of -8*a**4 + k - 19*a**4 - 15*a**4 + 38*a**4 wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 1 + 1 - r + r + 3*r**2 + (3*r - 2*r + 0*r)*(789 + 410*r - 789) to the form n + c*r + j*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(931) + 1.\nAnswer: 1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 7*f + 23\/3*f**3 + f**2 - 69 + 3\/4*f**4. Find the second derivative of k(t) wrt t.\nAnswer: 18*t + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -5 + 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080801 > 2080802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.283 + 4.7. What is d rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 - (-1 - 3). Suppose 5*t - 10 = 5*q, -q - w*t + 4 + 10 = 0. Let j(m) = -2*m**2 + m. Calculate j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/4 (b) 0.11 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p**5 + 3*p**5 + 5*p**5 + (-3*p + 2*p + 3*p)*(-2*p**4 - 6*p**4 + 4*p**4) - 30*p**5 - 110*p**3 + 110*p**3.\nAnswer: -40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 617*h + 217. Let b(o) = -614*o - 220. Let m(l) = -5*b(l) - 6*q(l). What is the derivative of m(y) wrt y?\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-35) + (-2664)\/14. Let h be (-1)\/2*1*b. Suppose 6 = 4*i - 146. Calculate the greatest common divisor of h and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3887, 15811, 35689, 63527, 99331?\n\"Answer: c**3 + 3971*c**2 + 4*c - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 21636*f + 18933912.\nAnswer: 4*(f + 1098)*(f + 4311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-3) - (-15 - 10)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:28 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05865046 rounded to 3 decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/12 - y**3 + 14*y**2 + 2*y + 67. Calculate w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30235033, -30235031, -30235027, -30235021?\n\"Answer: p**2 - p - 30235033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1895 - -1894.7. Let m = 26.830254 + -26.5301. Let r = m + v. What is r rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -81. What is the remainder when 150 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 5 = -12*x. Suppose -4*a - 4*g + 2 = -2*a, g = -x. Suppose 0 = w + 2*s - 41, -w + a*s = 18 - 44. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 45 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 659714164.3 to the nearest ten thousand.\nAnswer: 659710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*f + f. Let k = f - 19. Let m(x) = -x**3 - x**2 - 2. What is m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949 and 13067?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 2*z + 2*z. Let o = z + -44. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/10 - (-6 - 16542\/45) is divided by 95?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 52152 + 29687 + 18943. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2. Let w(u) = -14*u. Give w(q(m)).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 0*b**2 - 5*b**2 - 3*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.5, 1\/2, 368.2?\nAnswer: 368.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32170987421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186 is divided by 706?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 33*f. Let k(q) = -1131*q**2. What is m(k(z))?\nAnswer: -2558322*z**4 + 37323*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r + 9. Let m(f) = 1. Let g(s) = 2*m(s) - n(s). List the prime factors of g(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 1010*n - 1039*n + 493 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -101.6. What is the fourth biggest value in d, 6\/17, 0.4, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*a**2 - 21*a + 14509 wrt a.\nAnswer: 380*a - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 55*b - 29. Let y be t(27). Sort -5, y, 2, 0 in decreasing order.\nAnswer: 2, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(102)\/(sqrt(6)*-2) + sqrt(68) + -2 + sqrt(68) + 3 - (1 + sqrt(1700) + -1)*3)**2.\nAnswer: -143271\/4 + 159*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 2, s: 2, o: 1, c: 3, j: 1}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m**4 - 915*m**3 - 765*m**2 + 110*m = 0. Calculate m.\nAnswer: -22, -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22 at least -8447.583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 2*x**2 - 2. Let a be v(-3). Let h = -6 + a. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(-2))**(-40)*(h\/(h\/(h\/(h*h\/(h*(h*(h*h*h\/(h*h*h**7))\/h*h)\/h)))*h)*h**(-4))\/(h**6*h*h\/h**(1\/2)) assuming h is positive.\nAnswer: h**(283\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/19 + -48\/95. Let p = 1 - 2. Which is the biggest value? (a) 0.1 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, 1\/2, 0, -771, 3\/2, 178?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607021484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnpv when four letters picked without replacement from vtvepinpteitiee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 4474396*y + 22522747010418.\nAnswer: 2*(y + 10067391)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -7 + -11 - 33\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17249 (base 14) to base 5\nAnswer: -3324311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640610607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5332111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4276*o**4 - 5*o**2*y + 2*y + 6 wrt o.\nAnswer: 17104*o**3 - 10*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + sqrt(45))*-3)\/sqrt(9) + sqrt(605) + -1*(3 + sqrt(605)))**2.\nAnswer: 90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**2 + i + 3*i - 10*i + 8*i in the form t*i + y*i**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 26. Let o(p) = -p**2 - 5*p + 5. Let q be o(x). List the prime factors of (q - (2 + 5))*372\/(-24).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z + 95 - 1\/2*z**6 - 6\/5*z**5 + 9\/4*z**4 + 4*z**3 - 6*z**2. Determine o so that v(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 - 2 + 9*l**2 - 2*l**3 + 6*l**3 - 10*l - l. What is the lowest common multiple of 6 and o(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -17 - (11 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 - 25 = -4*w, 0 = -2*w - 4*a - 2. Let p = 31 + -29. Solve -1 = p*j - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 5, -2, -4, -174, 0 in decreasing order.\nAnswer: 15, 5, 0, -2, -4, -174","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 55832393.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248703*v + 273319*v + 43086*v.\nAnswer: 565108*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**3 - 156*i**2 + 152*i = 0.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a - 9 = -3*i, 3 = i - 2*a. Suppose -4*u + i*u = u. Let p(k) = -k - 4. Let s be p(-6). Solve u*x - 5*y = -x + 9, -2*x + s*y + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-75)\/(-40))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 13*l**4\/24 - 2*l**2 - 1310*l - 2. Let a(c) = 3*c - 1 + 1. Give a(g(w)).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:39 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1*7\/(-420)*-15.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o + 1. Let j(i) be the second derivative of -i**5\/2 + i**4\/6 - i**3\/3 - 3*i**2\/2 - 24*i - 2. Let h(v) = -j(v) - 3*m(v). Calculate h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g + 5*d, -8*g = -3*g + d - 16. Suppose g*w - 2 = 1126. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzzjbjbbzjxjb. Give prob of picking 1 b, 1 z, and 2 j.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/14 - (-1 + 2). Let i = -1.73 - -5.83. Let h = i - 0.1. What is the smallest value in h, 1\/7, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 - 2817*w\/5 - 1721216\/5.\nAnswer: -(w + 896)*(w + 1921)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (2 - (-3 + 3)). Suppose f = -q - q + 6. Suppose 0 = -q*m + 2*h + 44, 3*m + 11 - 48 = -5*h. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g - 1937 + 1937. Let t be y(8). Let o = 117 - t. Calculate the remainder when 110 is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2865 + -2863. Sort 0, -0.5, s, -269 in ascending order.\nAnswer: -269, -0.5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.22 (b) -17 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 94573964\nAnswer: -7\/94573964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-5)\/q))\/q*q**(-12))\/(q*q**8*q*q*q**(-18)))**(1\/21) assuming q is positive.\nAnswer: q**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -1\/2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -32. Let g = 20 + y. What is the smallest common multiple of 1 and (-8 - g - -16) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(15)\/sqrt(3) + (sqrt(5) - (sqrt(720)*1)**2) - ((sqrt(720)*-2)**2 - sqrt(5) - (2 + sqrt(5))**2*-3)) + 0)*-6.\nAnswer: -130572 - 324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2309035252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/13, 0.14, -1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 70*a + 2191. Give b(-31).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268 + -11308.10602178.\nAnswer: -11576.10602178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (243\/(-72))\/(207\/1104)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*5\/(-2) + 0. What is the third smallest value in 2, -1\/2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g. Let z(v) = -2997*v - 1665. Let x(r) = 2*r + 3. Let j(k) = 555*x(k) + z(k). What is j(d(b))?\nAnswer: 3774*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -178*f**2 - 4634*f - 150. Give i(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l + 4. Let a be (-1)\/l*(2 + -2). Suppose a = d - 3. Solve 3 + 11 = -d*c + 5*n, 0 = -4*c - 3*n + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2981*o**2 + 5361*o**2 - 9307*o**2 + 221*o**2 - 9778*o**2.\nAnswer: -16484*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, d: 3, f: 8}. What is prob of sequence dfud?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247146 + 17494.\nAnswer: 264640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 2, -3, -0.31, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 720*p**2 - 3*p + 18. Let r(i) = 3*i**3 - 2157*i**2 + 8*i - 48. Calculate -3*r(x) - 8*u(x).\nAnswer: -x**3 + 711*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6 = -q - x, 3*q = -x + 10. What is the second derivative of -2*j**5 - q*j + j - 8*j + 22*j**5 wrt j?\nAnswer: 400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. Solve -w*m - 12 = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221037562 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 641?\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33031103 (base 4) to base 16.\nAnswer: f353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*m + 55*m + 117. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/7, 0.32, -9678 in decreasing order.\nAnswer: 0.32, 2\/7, -3, -9678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + 243024032?\nAnswer: 243024303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101333 - -301?\nAnswer: -101032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/579? (a) 1\/5 (b) -1\/8 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43221851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*y**3 - 35079*y**2 + 12792*y - 1164.\nAnswer: -3*(y + 97)*(11*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 49293\/32862*(640\/112)\/(-2*1\/1)\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 + 41*x - 65 + 65 + 6*x - x + 4*x - x + (7 - 3 - 2)*(0 + 0 + x) - 2*x + 4*x - 3*x to the form c + v*x and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 18}. Give prob of sequence gag.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*p + 14. Let j(b) = -44*b - 16. Calculate the lowest common multiple of 22 and j(p).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81158244 to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 + 28164*u + 66100908 = 0.\nAnswer: -4694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**7\/140 - 11*x**4\/6 - 3*x. Let y(v) be the third derivative of j(v). Let u(g) = -2*g. Give u(y(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 33 = -2*j. Let f = 23\/2 + j. Let x be (-2)\/7 - 24\/(-35). Put x, f, 4 in decreasing order.\nAnswer: 4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147408, 147396, 147384, 147372, 147360, 147348?\nAnswer: 147336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140457 - 11?\nAnswer: -140470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558 and 42246.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 20. Suppose m*l + 104 = 2*v, 5*l + 10 - 86 = -2*v. Calculate the highest common divisor of 60 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j**2 - 5*j + 17. Let z(w) = 264*w + 5*w**2 + 6 - 114*w - 152*w. Calculate 4*u(m) - 11*z(m).\nAnswer: m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.1 (c) -257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 527260?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42 + 2)\/(0 - -4 - 3). Let t be (-1136)\/z + 4\/(-10). Let l = t - 5. Solve -l = -5*b + 2*r, 2*b - 2*r + 17 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1283)\/616 + 6\/(-21). Let i = 3\/616 + m. Calculate the common denominator of -17\/3 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019789 a multiple of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o**2 + 374*o + 1517. Determine l(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256472, -256491, -256510, -256529, -256548, -256567?\nAnswer: -256586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3 + 1 + sqrt(684) + 3 + sqrt(684) + sqrt(684) + -4 + (sqrt(684) - (-2*sqrt(684) - sqrt(684)))))**2 + 0)*-3.\nAnswer: -1609200 + 12096*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3128792767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 29. Let b = 28 + a. Let s = -12 - b. Which is bigger: 0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:51 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313731.199993 + 313731. Let s = -0.2 - p. What is s rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 12) to base 14\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/(-10))*66\/(-308)*14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) + 5\/(-25). Let n(m) = m + 5. Let g be n(3). Suppose g*l - 53 + 5 = s. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 11381966.\nAnswer: -11381966.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from vzjva?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35177314*a*u**4 - 6*a*u + 3*u**4 + 2*u**2 - 370807*u + 2 wrt u.\nAnswer: 844255536*a*u + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 16116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = -3*h + 59, -132 = -4*h + 4*c. Calculate the remainder when 137 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15888867 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 80*z**2 + 180*z - 20. Let v be r(-5). Calculate the greatest common divisor of 1320 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 2740.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7338624 milligrams to grams.\nAnswer: 0.0007338624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/12 - (-237)\/(-316).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/3 - 3*a. Let k(p) = 12*p - 9. Let h(u) = -3*u + 2. Let x(w) = -9*h(w) - 2*k(w). What is x(o(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/42 + 1\/7\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q + 2*q**2 + 225623 - 112811 + 121*q - 112812.\nAnswer: 2*q**2 + 166*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 14. Determine r(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5*u - 2. Let r be w(-5). Let g be (68\/(-10))\/r + (-2)\/5. What is the common denominator of (-1)\/((-36)\/80) - g and -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8 and 111\/3094149410.\nAnswer: 12376597640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99693522029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 32*u + 80. Let q = 14 - u. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164\/(-14) + 6 - -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 12:44 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3878.02 - -3878. Which is the closest to -1\/3? (a) -0.6 (b) k (c) 12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42447*l + 12034*l - 11338*l - 58828*l.\nAnswer: -100579*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -161\/4. What is the third smallest value in x, -2, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*v - 38*v - 20*v**2 + 78*v)*(2*v**2 - 1 + 2*v**2 - 3*v**2).\nAnswer: -20*v**4 - v**3 + 20*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4111 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 9*h**4 - 2 + 10*h**4 - 2*h**3 - 3*h**4 - h + 24*h**2 in the form r*h**2 + i*h + l*h**3 + y*h**4 + v and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 639137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004569 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1293355 (base 10) to base 6.\nAnswer: -43415431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -136*c + 15. Let t be a(-6). Suppose -v = 5*y - 4*y - 408, 2*y + 5*v = t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 104. Let r be 3 - ((-6)\/10 - (-307)\/(-5)). Calculate the greatest common divisor of r and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-57)\/15 + 23\/(-115). Let z be (35\/21)\/(3*s\/(-36)). Factor 0*o**2 + 4\/9*o**4 + 0 + 2\/9*o**3 + 2\/9*o**z + 0*o.\nAnswer: 2*o**3*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 59. Let i(h) = 2*h**2 + 15*h + 30. Let o be i(y). What is the highest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = o - 3*o - 2*n, -o + 53 = 4*n. Let i be (-1 + (-5676)\/(-1))*o. Suppose 6*g - 5*g + 42010 = -2*a, -i = 5*g - 5*a. Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/21)\/((-7)\/((-3318)\/(-4))) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) - 142\/6. Let a be -9*(-5)\/(30\/(-4)). Let q = a - b. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17360 is divided by 3705?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.045 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 42*t**4 + 2*t**5 - 50*t**4 + (t**4 + 0*t**4 + 2*t**4)*(11*t + 8*t - 9*t) - 1 - t**5 + 1.\nAnswer: 28*t**5 - 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 + 26*f**2 + 27*f**2 - 53*f**2.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004628 is divided by 33467.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/24 + f**2. Let y(o) = -o. Let m(q) = -3*q**2 + 3*q. Let h(c) = -m(c) - 3*y(c). What is h(k(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413 + 2133143?\nAnswer: 2132230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 541752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40581 = 590*u + 135*u + 16856 - 19050 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/11)\/(p\/p**11)*p**(-2\/3)\/p*p\/p**1 assuming p is positive.\nAnswer: p**(281\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f**3 - 2*f**2 + 2*f - 1. Suppose 4*j - 24 = -4*z, 5*j - 2*z + 4 = -1. Calculate l(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11*o**2 - 6*o - 2. Let j be a(-2). Let i = -51 + j. Suppose 4*k - 270 = -i*n, 5*n + 148 = 2*k - 0*n. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 5*v - 62. Let b be c(11). Suppose -b*a + 7 = -u + 2, a = -4*u - 3. Sort a, -3, 8 in descending order.\nAnswer: 8, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = x + 2*x - 6, -3*x = 4*a - 6. Factor 4*j - 3*j + x*j + 3*j**2 - 15*j.\nAnswer: 3*j*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -158. Let w(f) be the second derivative of 9\/20*f**5 + 1\/2*f**3 + 1\/10*f**6 + 0*f**2 + 9*f + 3\/4*f**n + 0. Factor w(l).\nAnswer: 3*l*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**3*z - 2*i**2*m*z**2 - i*z**2 - 4*i + 4*m - 1 wrt i?\nAnswer: -30*i*z - 4*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 5*s + 4*s)*(0 + 2*s + 0)*(-12*s + 8 - 8) in the form n + z*s + a*s**2 + y*s**3 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -140\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-16)*(-32)\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/8 (b) 0.75 (c) 0 (d) -5\/4 (e) -1 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 662213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x + 4*j, x - 3*j = 3*x - 1. Let h(n) = 3*n - n - n. Let i(m) = 7*m + 4. Let c(q) = x*h(q) + i(q). Differentiate c(p) with respect to p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 390803\nAnswer: 5\/390803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -2*m. Let q be 4\/5*(-335)\/m. Suppose -q = -2*p - 2*b, -2*p = b - 6*b - 148. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:45 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 8:07 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 - 72 = -28*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2, a: 2, g: 2, r: 1, m: 1}. Give prob of sequence gl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -124110 (base 15) to base 16\nAnswer: -d577d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1953270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 2*m**2 - 2*m**2 + m**2 - 2 + 2 + (-1 - 2*m + 1)*(-3*m + m + 4*m) - 2 - m**2 + 2 + (10*m + 12*m + m)*(-1 - 3 + 3)*(3 + 2 - 4)*(6*m + 0*m - 18*m).\nAnswer: 270*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) + 9108\/162 - 8. Solve 21 = -9*m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 92?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1927 - -1991. Calculate the remainder when 228 is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2 - 12*x + 30. Give s(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 3*l + 131, 3*d + 78837*l - 78856*l = -127 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1291*k**2 - 22*k - 28. Let g(r) = 1290*r**2 + 22*r + 29. Let n(f) = 5*c(f) + 4*g(f). Let t be n(18). Round t to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {w: 1, z: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 202. Let b = 301 - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/199 in 0.03, 46, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/18 + 16*g**2 - 193*g\/6 - 1283. Factor d(f).\nAnswer: (f - 1)*(f + 193)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6879188 - 1.7.\nAnswer: -0.0120812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 10. Let i = -5 - y. Solve i*j - 5*j = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 411, 2, -3, 108, 0 in descending order.\nAnswer: 411, 108, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 32*u**2 + 60*u + 1953. What is v(-8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427383 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/3 - 9503\/430. Let t = -3 - -2.6. Which is the fourth smallest value? (a) t (b) 3 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1824*q + 3. Let l(g) = -4*g**3 + 1. Let y be l(-1). Let s be w(y). Let b = s - -200481\/22. Calculate the common denominator of -73\/8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -94. Suppose -114 = -3*x - v*x. Solve -5*a + 4*n - 2 = 0, -4*a = 3*n - 5 + x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7 - (-40)\/16)*1256\/(-942))\/(-3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**5 - 13*z**2 + 22*z - 11. Let m(i) = -5*i**5 + 7*i**2 - 11*i + 6. Let r(v) = 6*a(v) + 11*m(v). What is the second derivative of r(b) wrt b?\nAnswer: 220*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 8*m = -910. What is the highest common divisor of m and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011840981455 rounded to seven dps?\nAnswer: -0.011841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*g + 142*g - 2656. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let s(i) = 7*i**2 + 0 - 10*i - i**3 + 4 - 7. Let a(z) = s(z) + 4*t(z). Let g be 3 + 4 + (2 - 3). Determine a(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*b**3 + 15*b**2 + 9*b**2 + 2*b**4 + 775 - 1543 + 772 wrt b?\nAnswer: 48*b + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b - 1. Let s(j) = 2*j**2 - 2*j + 2. Suppose 3*r = -r - 12. Let d(x) = r*s(x) - 5*l(x). Give d(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 1, t: 4, o: 5, k: 4}. What is prob of picking 1 k and 3 t?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5469 - -1.1643. What is l rounded to two dps?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -6, -993, -0.2 in decreasing order.\nAnswer: 2.3, -0.2, -6, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 + 2033?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 326. Let c be 6\/(-15) + w\/(-5). Let x be ((-16)\/(-12))\/(2\/c). What is the greatest common divisor of x and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6320.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = m + 39, -4*m + 9*m + i + 176 = 0. Suppose 0 = 8*v - 7*v. Suppose -5*p + f = -10*p - 177, v = 3*f + 6. Is m smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.022\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21342*v**2 + 4*v - 21?\nAnswer: -42684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 11 + c - 1517*c**2 + 1518*c**2.\nAnswer: c**2 + c + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 + 3*o + 18. Let m(t) = -2*t**2 + 3*t + 17. Let c(g) = 2*m(g) - 3*v(g). List the prime factors of c(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = -f + 2, -4*f - 41 = -3*z. Solve z = 2*p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7610\/11 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1234, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/54*2*-12)\/((-114)\/7011).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996114.\nAnswer: 2, 307, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*z - 5*z + 3*z)*(0 + 3 - 7).\nAnswer: -8*z - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/126)\/(3\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(3\/5))\/(((-276556)\/(-3984))\/833)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18676, 37353, 56030?\n\"Answer: 18677*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1879*y - 18998 wrt y.\nAnswer: -1879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 - 137. Suppose -i*u + 369 = 5*y - 273, -2*y = -3*u + 663. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -81*v**2 - 22195*v - 268. Calculate a(-274).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-4)\/(-1 - -3). Suppose -g - 10 = 2*j - 3*g, q*j + g + 3 = 0. Put 2, j, 1 in descending order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0282308976 and 8?\nAnswer: 7.9717691024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 3*w**2 + 3*w**2 + (w**2 - 2*w + 4*w + 1 + 11*w**2)*(1 + 3 - 5).\nAnswer: -13*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22129 + -25514?\nAnswer: -47643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - a. Let s be i(-1). Let c be 10\/(-125) - 40387347\/975. Is (3*s)\/(69\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 4. Let a be q(-6). Suppose -a*s + 442 = -2*v, 2*v = -s - v + 201. Calculate the greatest common divisor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-12)*-12*-1. Suppose -5*t + h*t - 1689 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 5*s - 2. Let x be m(-6). Let r = -3 - -3. What is the third biggest value in x, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*n = -4, -4 - 6 = -5*o - 4*n. Solve -3 = o*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2331 + 1412133?\nAnswer: 1404302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -571*g**3 + 1 - 571*g**3 - 3202*g**3 + (2*g**2 - 4*g**2 + g**2)*(2 - 2 - 2*g).\nAnswer: -4342*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208) - sqrt(13))*6.\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*sqrt(175).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -57203*x - 128. Suppose 262 - 310 = -2*w. Let t be n(w). Round t to the nearest 10000.\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18189768811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggrgggg. Give prob of picking 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f34 (base 16) to base 9.\nAnswer: -5304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453367032 to the power of 1\/2, to the nearest integer?\nAnswer: 21292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -7426398, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 60. Let v be (u*(-10)\/(-25))\/(16\/4). Which is the closest to -1\/10? (a) v (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, 3, -23\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000721013 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 26. Let y be i(-6). Put 18, y, 4 in increasing order.\nAnswer: y, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 7*x + 8. Let b be i(9). Suppose 4*k + 0*k = 2*g - 76, 0 = -3*g - k + b. Calculate the highest common factor of 54 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 + -188. Suppose 0 = 7*b - 5*b - 5*j + 18, -a*j + 15 = 3*b. Solve 4*v = -5 + b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((-3388)\/77 + 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 267d?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (7 + 3 + -2 - 23) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from jvvvxoovvxv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(33)*-1*-5)\/(sqrt(110)\/sqrt(90)) + 2.\nAnswer: -12*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -795 + 310701494\nAnswer: 310700699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 2*r + 2. Let h be j(-2). Let y(a) = a**2 + 2*a + 1. Let v be y(-5). Solve 5*z - 2*d = -7 - v, 2*z + 14 = h*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3077867 and 244188?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 9.6473132.\nAnswer: -48.236566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 112341?\nAnswer: -112413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 54 = -7*b. Let s = b - 11. Solve 0 = 2*o - 1 + s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 8}. What is prob of picking 3 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3308\nAnswer: 3\/3308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {q: 1, h: 1, b: 1, z: 5, r: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 18993*a**3 + 19386*a**3 - 38383*a**3 + 4*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -750, -1502, -2256, -3012?\n\"Answer: -a**2 - 749*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27962 and 7725630.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9146815*r - 9146815*r - 11*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 283\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 - 2*t - 3. Let p(a) = a**3 + a**2 + a - 1. Let y(u) = 5*p(u) - v(u). Factor y(j).\nAnswer: -(j - 2)*(j + 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -2, 17, 52, 109?\n\"Answer: d**3 - d**2 + 5*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1108.422 * -336\nAnswer: -372429.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y*y**(1\/3)))\/y)**(-2\/5))**(-2\/9)\/((y*y**0*y)**(2\/5)\/((y**(-3)*y*y)\/(y\/(y\/y**3)))) assuming y is positive.\nAnswer: y**(-676\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0*l + 138*l**2 + 1\/15*l**4 + 1\/5*l**3 + 0 + 1\/150*l**5. Solve r(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166572 (base 15) in base 5?\nAnswer: -234201412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 56*v + 3. Let n(i) be the first derivative of -2*i**3 - 795. Calculate p(n(k)).\nAnswer: -336*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-60) - (-460)\/75. Let i = -46 + 16. Let d be -2 + 14\/4 + 15\/i. Solve -a + 5*c = 11, -4*a - c = -z*c - d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 65*m + 70*m - 130*m. Let v(z) be the first derivative of -z**2 - 1. Determine v(i(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 15*q + 18. Let d be m(-14). Let x = d - -22. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -0.4, 0.6, 2\/527931?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xipxxxxpppxpx.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543892938 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -81, -95, -107, -117, -125?\n\"Answer: m**2 - 19*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x - 14. What is the lowest common multiple of s(5) and 3*(2 - -6 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from {f: 1, c: 2, k: 4, s: 6}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3575 + 7871. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-15))\/((-2)\/10). Suppose -t*j - 5 = -j. Let l be 3*(-1)\/((-3)\/(-4)). Which is the closest to 0.1? (a) l (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11284 divided by 182?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m + 1\/240*m**6 - 1\/120*m**5 + 3*m**2 + 0*m**3 + 0*m**4 + 0. Find y such that c(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.103*-15\nAnswer: 1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 5*k**4\/24 - k**3 - 3*k**2 - 13*k. Let w be s(2). Let f(j) = -11*j - 10*j + 5 - j**2 + 25*j. What is f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-567) + 108\/(-378)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -65 + (-2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2534)\/21)\/(4\/54). Let n = k + 2339. Suppose o - n = -5*y, -3*y + 2*o = 2*y - 725. What is the remainder when y is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9157121ng to tonnes.\nAnswer: 0.0000000000000009157121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:46 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/14 - -2)*(-5)\/(130\/364).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 67851 and 67849 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -680, -63\/19, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -493 - -449. Is -177\/4 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156 a factor of 749776813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 + 19276*s**3 + 59115696*s**2 + 58590688436*s + 58531592014 = 0.\nAnswer: -4583, -2527, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702 by -234.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 18224 - 72807 = 2778. Is -3023 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 7*m**2 + 13*m + 6. Suppose -4 = s + 5. What is the units digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316540*o**3 - 2633085*o**3 + 1316523*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9722?\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 233, 232?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 7. Let z be n(-6). Let l(y) = 10*y + 3. Calculate the remainder when l(z) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71712171 divided by 302583\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2001, 1\/9, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2216 + -1475. Let g = r - 741.0001102. What is g rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 5*p - 4. Let z be t(-6). Suppose -54*w = -32*w - z. Solve 5*o - w*q = -2*q, -15 = 3*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345 (base 8) to base 12.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 - (2 - 1)\/1 and (-6)\/((-72)\/154 + (-156)\/(-364))?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-10)\/(-2))\/5*(-56)\/(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 113, 157, 199?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - p**2 + p**2 + (-p + 2*p - 3*p)*(0*p - 4*p + 3*p) + p - p - p**2 + (-5 + 1 + 0)*(3*p**2 + 8*p - 8*p) + 0*p**2 - 6*p**2 + 2*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -3)\/(-4*1 - -1). Suppose n = -4*u + 4*g + 700, -7*u + 180 = -6*u + 4*g. Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(396))\/sqrt(4).\nAnswer: -3*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 + 5*t**2 + 5. Let j(w) = w**3 - w**2 + w - 1. Let a(p) = 10*j(p) + 2*o(p). Find the second derivative of a(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -40*w - 2*w**4 - 3\/5*w**6 - 1\/14*w**7 + 0*w**3 + 0 + 0*w**2 - 9\/5*w**5. Find t such that m(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*l + 5061. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 12729.\nAnswer: 45\/4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 59741?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2283.84377 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.17169 * 0.1\nAnswer: 0.017169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234378 and 1566?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 7*l = 4. Suppose l - 1 = 12*g. Solve g = -14*w + 10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 18*r**2 + 7*r - 14. Let g be l(-14). Suppose -7*b = -14*b + g. Calculate the greatest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-240)\/18)\/(-5))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 9 + 25 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82.311639+69\nAnswer: -13.311639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/14)\/(-109*(-432)\/549360)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 7972*w + 72. Calculate t(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 14. Let k be o(-10). Let s(t) = 5 + 34*t**3 - 5*t + t**2 - 40*t**3 + 12*t**3. Let i(q) = 7*q**3 + 2*q**2 - 6*q + 6. Give k*s(z) - 5*i(z).\nAnswer: z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 1 (b) 0.5 (c) -4.6 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71\/198 + -3\/22. Let y = 28.6 - 99.6. Let o = y + 71.3. Which is the closest to u? (a) -1 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**3 - 383*f**2 - 3347*f + 584. Determine s(-86).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/6 + (-7)\/21)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 5b?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 7*w**3 + w**2 - 1 + w**2 to q*w + u + a*w**2 + y*w**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -333 - -744. Let n = i - 130. List the prime factors of n.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432823 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*h + 329*h - 584*h to z + i*h and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1200.\nAnswer: -1\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4408323 and 12.\nAnswer: 17633292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 9*s**2 - 14*s - 10. Let u(x) = x**2 + 4*x - 2. Let r be u(-2). Let n be k(r). What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 + (-5 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1049295 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150386 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**5\/60 - h**4\/12 - h**3\/6 + 8*h**2 - 10. Let i(d) be the second derivative of s(d). What is i(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 59 = -185. Let w = u + 62. Is -1\/184 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*a**3 - 13967*a**2 - 17054*a**2 - 7033*a**2.\nAnswer: 147*a**3 - 38054*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2588758 (base 11) to base 15\nAnswer: -5d680d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(110)\/(-4*(sqrt(360) - sqrt(10))))**2.\nAnswer: -3189\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 137*c**3 - 2*c**2 + 5*c - 22938.\nAnswer: 411*c**2 - 4*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10082 + 10082.02599. Round f to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 664988083 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**3 - l - 2. Let q be n(-1). Suppose q*b + 50 = 10*b. Let h(r) = 2*r**3 - 5*r**2 + 2*r + 2. What is the remainder when b is divided by h(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -67, 2\/17, -0.2, 0 in descending order.\nAnswer: 2\/17, 0, -0.2, -5\/3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 37*s**2 - 84*s - 602. What is i(34)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 14004825 + 1037559. Let o be v\/13 + 32\/208. Let w = -122702 - o. What is w rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6, -7*z + 5*z + 4*c = 122. Let n = -31 - z. Solve -j + 23 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c - 20*c + 9 + 39*c)*(-222 - 220 + 1).\nAnswer: -882*c - 3969","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1353)\/(-1320)*16*-5\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 5*s - 5*s)*(-6*s + 23*s - 6*s) in the form z*s + y*s**3 + w*s**2 + u and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -103826, -207640, -311446, -415238, -519010, -622756, -726470?\n\"Answer: h**3 - 2*h**2 - 103815*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:10 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 9195680.\nAnswer: 82761120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let m be ((56\/(-21))\/(-8))\/(2\/6). Suppose 4*b - 3*d + m = 24, 0 = -3*b - a*d - 4. Solve 5*n - u - 24 = 0, b*n = u - 6*u + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29090 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 q(c) = -3*c**2 - 10*c - 125. Give q(0).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let h(j) = -4*j + f*j + j. Let g(b) be the second derivative of -b**3\/6 + b. What is g(h(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 5*j**4 - 3 + 11*j**4 + 2*j**2 - j**4 to z*j**2 + u*j**3 + l + b*j**4 + f*j and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -285*r**4 + 285*r**4 + 21*r**5 + (r**3 - 3 + 3)*(51*r**2 + 31 - 31).\nAnswer: 72*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1004 divide 1268548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 22988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 35*i**4 + 63 + 29*i**4 - 3*i**2 - 125 + i**3 + 59 in the form m + v*i + t*i**4 + h*i**2 + s*i**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 611035.50798 + -610645.50797763. Let q = -390 + a. What is q rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)*d\/(d\/(d*d**(1\/2)*d*d)*d)*(d\/d**(-2\/3))\/(d*d*d**(2\/13)\/d) assuming d is positive.\nAnswer: d**(137\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven quarters of a century?\nAnswer: 20100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfdffbydyfffsddf. What is prob of picking 1 d and 1 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) - -3*(sqrt(65) + (sqrt(65) - 1*sqrt(65) - sqrt(65))))))\/sqrt(5).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k)\/(k*k**(2\/13)))**(6\/7)*(k*k*k**(-1\/8)\/k*k\/k**(-3\/5))**(-39) assuming k is positive.\nAnswer: k**(-51153\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -305 + f**2 + 305 - 3*f**2 + 4*f**2 - 3*f**2 + (0*f + 0*f - 2*f)*(-2*f + f + 2*f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.89 - 1.29. Which is the smallest value? (a) f (b) -0.2 (c) -192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3432007602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + b = -19, -11*b - 19 = 4*m - 16*b. Let c be (m\/18)\/((-6)\/72). Factor 2\/7 + h**c + 5\/7*h - 5\/7*h**3 - 9\/7*h**2.\nAnswer: (h - 1)**2*(h + 1)*(7*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*r - 186. Let j(m) = m + 35. Let b be j(r). Solve -b + 3 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to -11295\/1576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560\/591 + -2\/11229. Determine v, given that 0 - s*v - 2\/19*v**3 + 12\/19*v**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86cd1 (base 14) in base 10?\nAnswer: -326327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k - 12. Let d(m) = 9*m - 21. Let j(t) = -4*d(t) + 7*z(t). Let f(w) = 347*w**2. Calculate f(j(v)).\nAnswer: 347*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 8. Let g be -4*1*(-2)\/4. Suppose p + v - g = -0*p, 0 = 3*p + 5*v. Let k(m) = -m + 2. Let o(i) = i - 2. Give p*k(a) + x*o(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, 3, -11 in descending order.\nAnswer: 3, -0.2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*a + 2317 + 140 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.02 - 30.98. Let l = -715377466 + 715377434.0000001. Let v = h - l. Round v to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a hour in seconds?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + 0. Let z = 1616 - 1580.1. Let n = z - a. What is the second smallest value in n, -0.2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94911 < -94993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (455 - 455 + 80*i**3)*(2*i + 0*i - 6*i) + 7*i**3 + 12*i**4 - 7*i**3.\nAnswer: -308*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 3.30204.\nAnswer: 13.20816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 13 (b) 3\/4 (c) 32 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5*u**2 + 5)*(-3*u**2 - u + u + (2*u - 3*u - u)*(-u - 4 + 4)) to the form f*u**4 + s + g*u + r*u**2 + b*u**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dccgdde. Give prob of picking 1 e, 1 g, and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -351*j**5 + 3848*j**2 + 6*j - 8. Differentiate h(n) with respect to n.\nAnswer: -21060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 23*t**4\/12 - 3*t**2\/2 + 15*t - 10. Let q(a) be the first derivative of b(a). What is the first derivative of q(v) wrt v?\nAnswer: 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 8*c = 6. Let s be 1 - (-4)\/(c - -4). Calculate the highest common factor of 45 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8596 - -1 - (-1162)\/166?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 7 = 22*y. Calculate the remainder when 68 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869623219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3137871.\nAnswer: 3, 11, 95087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 600 = 4*b, -3*b = -4*b - z + 150. What is the highest common factor of b and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(-4 + 0). Let g(c) = -j*c + c + 0*c. Let m(p) be the first derivative of -p**3 - 1. Give m(g(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 27) + (22 - 10) + 9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 3*s = 53, -1041*s = -3*h - 1046*s - 59 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*h**4 - 15084*h**3 + 50512*h**2 + 15084*h - 50544 = 0. Calculate h.\nAnswer: -1, 1, 27\/8, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*x = 226*x + 12720 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -7\/1443, 0.5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189400.\nAnswer: 2, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0311 and 869?\nAnswer: -27.0259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -46712271?\nAnswer: 46712264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 1. Let j(z) = -7*z + t*z + 4*z**2. Let d(f) = -2*f - 1. Let a(r) = 8*r + 3. Let v(m) = a(m) + 3*d(m). Give v(j(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 12*z**2 - 249*z - 63 = 0?\nAnswer: -1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*t + 42 = -166, -5*k + 278 = -t. Solve -14*s - k*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.5033484 to one decimal place.\nAnswer: 63.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4157959355?\nAnswer: 5, 11, 75599261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:17 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -954\/5, 113198?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 851046 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: Solve 34*i - 8 = 36*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1715*l + 1720*l = 0. Sort 54, l, 1.\nAnswer: l, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Suppose -n*w = -4 - 8. Solve -w*h = -5*m - 28, h + 0*m - 3*m = 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 0.5, 42, -0.102, 1\/12 in decreasing order.\nAnswer: 42, 0.5, 1\/12, -0.102, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*t - 1276 + 2795 = 60*t - 4331 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v + 3*h - 74, v + 5*h - 28 = 0. Let c = v - 4. Suppose 0 = -5*y + 77 + 8. What is the remainder when y is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 0*l**4 - 2*l**4 + (l**2 + 6*l**2 + 6*l + l**2)*(0*l - l + 2*l)*(2 - l - 2).\nAnswer: -10*l**4 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22122221122111 (base 3) in base 6?\nAnswer: -242410404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101.7 - 5.7127\nAnswer: -107.4127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*v - 0*y - 8, 0 = -v - 4*y + 23. Suppose -3*o = -3*z - 12, -2*o + o + v*z + 8 = 0. Suppose -20 = -s + o. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let z(w) = 3*w + 322. Let p(g) = 9*g + 954. Let b(c) = -2*p(c) + 7*z(c). What is b(n(j))?\nAnswer: 3*j**2 + 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110 (base 2) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 27*g - 13. Let v be t(-14). What is the remainder when (-374)\/(-66) - v\/(-3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/12 + 11*q**3\/6 + 9*q**2\/2 + 4*q. Calculate the remainder when v(11) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0 - 8\/7*x**2 - 1\/21*x**4 + 6*x + 8\/21*x**3. What is p in c(p) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 38*u + 2. Let n(f) = -24331*f + 48681*f - 24333*f. What is y(n(l))?\nAnswer: 646*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756, -1512, -2266, -3018, -3768?\nAnswer: -4516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*r - 2*z = -207*r + 8, 3*z + 3 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (1*sqrt(720) + -4)**2 - sqrt(720) - (0 + sqrt(720) + -3*sqrt(720)))*-5 + (3*sqrt(720)*1 - (3 + sqrt(720))**2*6).\nAnswer: -8054 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 - 2)*(7*v + 6*v + 4*v) + (-1 + 0 + 2)*(2*v - v - 2*v).\nAnswer: -69*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 j, and 1 s when four letters picked without replacement from ejejejsjeese?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3700*w**3 + 5093*w**2 - 169760*w + 18?\nAnswer: 22200*w + 10186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 + 4)*(0*a**5 + 0*a**5 + a**5).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064528195 to the power of 1\/3, to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 35*c + 411. Let n(q) = -9*q - 92. Let l(j) = 9*n(j) + 2*u(j). Let z(k) = -12*k - 7. Determine 4*l(f) - 3*z(f).\nAnswer: -8*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 133?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04799 - 98.51201. Let m = g - -98. Let c = 0.16 + m. What is the third biggest value in 3, c, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (2 - (1 + 1)). Let z be y\/10 + 4\/(-10). Let u = 98 + -94. Solve 5*o = -2*a - 10, u*a - 8 = -3*o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29345980 divided by 2934598\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i + z - 12, 2*z - 12 = -2*i. Calculate the common denominator of 37\/26 and i\/4*232\/24.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88179)\/(-8330))\/(-247))\/((-2)\/(-7))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 1. Let b be (-1 - (-1)\/2)*2. Let k be x(b). Suppose -6 = -q + k. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d - 5. What is s(-6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235001915.\nAnswer: 5, 47000383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*y + 449*y - 1147*y**2 + 4607*y**2 + 1897*y**2.\nAnswer: 5357*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - l**2 + 3748 - 3760 - 14*l)*(-2 + 7 - 3 - 2*l**2)*(-1 + 0 + 3) in the form c + q*l**2 + m*l + w*l**4 + j*l**3 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-65)*5*(-10)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 - 707. What is the remainder when 23\/46 - (s\/4 - 2) is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996358.\nAnswer: 2, 11, 45289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*3 + sqrt(1800) + sqrt(250)\/(sqrt(5)*-3))\/(sqrt(1000) + sqrt(1000) + (sqrt(1000) - (sqrt(1000) - sqrt(1000)*1))*-1 + 5*-2*sqrt(1000)).\nAnswer: -71*sqrt(5)\/270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z + 178. Let t be o(6). Suppose -v - t = -n, -3*n + 172 = -v - 48. Calculate the greatest common factor of n and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*h + 14 = 0, -5*h - 16 = 4*t - 5*t. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9528 and 3412612.\nAnswer: 20475672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a)**(2\/25)*a**4*a\/a**(-1\/14) assuming a is positive.\nAnswer: a**(1831\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 - 1.9. Let g = z + 0.04. Which is the biggest value? (a) g (b) 8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2600, -11353, -25940, -46361, -72616?\nAnswer: -104705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 39*h - 319. Determine d(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183648*u**2 + 87003.\nAnswer: -367296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - c**2 - 2*c**2 as s*c**2 + j*c + f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848 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: What is the first derivative of -6*m*n - 9410037*m + 1027452*n wrt n?\nAnswer: -6*m + 1027452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 32 = -5*c. Solve c*t = -0*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212335483 to the power of 1\/2, to the nearest integer?\nAnswer: 14572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 2494 - 2474 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/27*3)\/(11\/(11\/15))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117620 or -2\/3?\nAnswer: -117620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10*o - 8*o = 188, u - 2*o = -56. Let p(y) = 6*y - 3. Calculate the remainder when p(6) is divided by 10*(-45)\/u - (-42)\/231.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -80*f**2 - 30*f - 2. Let m(v) = -81*v**2 - 36*v - 3. Give 5*m(c) - 6*y(c).\nAnswer: 75*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36298852 divided by -3643?\nAnswer: -9964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/15 + (-184)\/(-10) + -4. What is the greatest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d9 + 11d?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 289*a**2 + 29*a + 26. Let w be u(-3). Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 169. Let q(b) = -16*b + 4 - 13*b + 43*b - y*b. Let r(l) = -l - 1. Let c = 1 - -4. What is c*r(f) + q(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from hhhnxnhn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -294*s**3 - 2*s**2 - s. What is the tens digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i**2 - 11*i - 2. Let a(d) = -4*d**2 + d. Let t(h) = 4*a(h) + v(h). Determine t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 398 - 378 = -29 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 736, 2917, 6552, 11641, 18184, 26181?\nAnswer: 35632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -19*l + 29*l. Suppose 0 = -4*n + 3*k + 42, 10*k - l = -2*n + 8*k. Suppose -n*m + 14 = -7*m. Solve 0 = g + 3 - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24282566213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 12:23 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32826536?\nAnswer: 2, 211, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by -3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2113, -2112, -2111, -2110?\n\"Answer: k - 2114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*d**2 - 12*d**2 - 3*d**3 + (-8 + 8 + 7*d**2)*((0*d - 3*d + 4*d)*(3 - 7 + 3) - 6*d + 3*d + d).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - 5 - (-79 + 69)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23*1 + 0*4\/(-32). Suppose y + 22 = 5*f - 5*s, -5*s + 27 = f. Solve -a + 4*q = 16, -2*a + 2*q - f = 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*w - 19, -4*w + 5*r - 11 = -35. Let d(i) = -10*i - 91. Let k be d(-10). Solve -2*j + w = k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(105\/25)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3455, 0, 1\/7, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28 and 2073711836.\nAnswer: 2073711864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539))*-3 + 2 - 4*(sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-3)))*1)\/sqrt(9).\nAnswer: -33*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/56 and -125\/152558.\nAnswer: 610232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:08 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286145703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36618032 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287173.\nAnswer: 287173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/364 and -47\/140.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804700.\nAnswer: 2, 5, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.131 - -0.331. Which is the nearest to 0.1? (a) w (b) -12\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 60 = 3*f. Suppose -2*r + 23 = z, 4*r + 4*z - f = 24. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*x - 184*x + 15 - 5*x**2 + 2*x**2 to n + z*x + y*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*-2*sqrt(6300))\/(-2*sqrt(225) - (((sqrt(81)*2 - sqrt(81)) + sqrt(81) + sqrt(81) - sqrt(81))\/sqrt(9) - sqrt(9))).\nAnswer: -600*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsst when four letters picked without replacement from {j: 4, t: 3, s: 13}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, v: 4, g: 1, n: 7}. What is prob of picking 1 v, 1 g, and 1 n?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 19*u + 5*p + 5935, -4*p - 3954 = -2*u. List the prime factors of u.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2035 and 3685015.\nAnswer: 40535165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81235, 161061, 240885, 320707, 400527, 480345?\nAnswer: 560161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*f, x + 16*f - 17*f + 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 7*c**3 - 6*c**3 + (0*c - c - c)*(-155*c - 288*c - 146*c)*(-3*c + 5*c + 0*c).\nAnswer: 2357*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*n - 67 + 183 - 71 - 279*n - 57.\nAnswer: 5*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5460 and 278265.\nAnswer: 7791420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1808 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115730 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13*y + 18*y = 6527, 4378 = 2*g - 2*y. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202727\/152 or -1335?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 2*j - 5. Let s(x) = -15*x**2 - 3*x + 10. Suppose 3*a + 19 + 20 = 0. Let d(c) = a*w(c) - 6*s(c). Determine d(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**3 - 76566*t + 76566*t.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = -91*p + 771012. What are the prime factors of p?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20088 and 2790?\nAnswer: 100440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -66749085 divided by 394965?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 19 = -5*b - w, 0 = -4*b + 3*w + 29. Factor 8\/3*y**3 - 4\/3*y + 0*y**4 - 4\/3*y**b + 0 + 0*y**2.\nAnswer: -4*y*(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940425 is divided by 31347?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*m**2 + 911*m - 270878.\nAnswer: -96*m + 911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3308 - -59485\/18. Let v(y) = 2*y + 3. Let n be v(-6). What is the common denominator of c and 2\/(n\/((-1935)\/(-200)))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -75 and -10478\/137 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2 = 5*n - 3, -23 = -5*g - 2*n. Let l be 16\/g + (-12)\/(-18). What is the greatest common divisor of l and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w - 4573. Let l(h) = -10*h - 4542. What is 6*f(y) - 7*l(y)?\nAnswer: -2*y + 4356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12643, 25355, 38065, 50773, 63479?\nAnswer: 76183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 2. Give w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/14400 and 79\/2100.\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -14\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*-4*3\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33746*o**3 + 5*o**2 - 2017003*o?\nAnswer: -202476*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 + 3*w. What are the prime factors of l(5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoleotlzzte. What is prob of picking 1 z and 2 l?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:17 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - f**2 - f + 2. Let i be y(2). Let q(m) = -4*m**3 + 4*m**3 + m**3 - 4 + i*m**2 - 6*m. What is the lowest common multiple of q(-4) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let r(f) = 57638767*f. Determine q(r(g)).\nAnswer: 57638767*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 378*i - 74. What is the thousands digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-1274)*-7)\/((-4)\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 690, -140, -55, 5.\nAnswer: -140, -55, 5, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -545*f**4\/3 + 959*f**3\/6 - 615*f - 1. What is the second derivative of h(l) wrt l?\nAnswer: -4360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 47. Let v be x(-19). Suppose 4*d = -a + 32, -10*a + 50 = -v*a - 2*d. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j - 4. Let y(r) = -7*r**2 + r - 7. Let w(h) = -11*h**2 + h - 11. Let u(d) = -5*w(d) + 8*y(d). What is u(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286367716 divided by -2?\nAnswer: 143183858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 188\/8*17*8. Suppose -4263 = -2*u - 2*u - 5*m, 0 = -3*u - 4*m + f. What is the greatest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -23, -28, -31, -32, -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*5*((-12)\/(-10) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 - 8 - 1016*x + 1009*x - 4*x**3 + 3*x**3. What is s(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.05 - -251.25. Let r = o - 231. Let a be (-11)\/15 + 4\/10. What is the biggest value in a, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15344 less than -0.1?\nAnswer: -15344.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.743364014 rounded to 5 decimal places?\nAnswer: -0.74336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/((7600\/225)\/76).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98606 (base 10) to base 13.\nAnswer: 35b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30\/7, -0.0719, -4, 6?\nAnswer: -0.0719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 9*l + 5. Let k be w(5). Let y = k + 50. Calculate the greatest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - k**2 - 2*k - 1. Let p(m) = -21*m**3 + 65*m**2 + 226*m + 8. Let y(s) = 8*j(s) + p(s). Suppose y(l) = 0. Calculate l.\nAnswer: -14, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -11. Which is the second smallest value? (a) 13\/5 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 5791.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3 - 1873*f**2 + 224306*f - 222432 = 0.\nAnswer: -1986, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*k - 1234 = 606 + 3158 - 493 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 26 + 1. Let c(p) be the first derivative of 0*p**3 + 44 + 2*p**2 + 13\/4*p**4 + 9*p. Let g(i) = -3*i**3 - i - 2. What is v*g(s) - 2*c(s)?\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/27 + 634\/18.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 259\/(-7)*(-3 + 2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -17, -52, -103?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444171 and 8463.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -86942.\nAnswer: 9563.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/13, 0.4, 2\/7, 16\/5, 1\/5, 3\/4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/7 - 288*c**3 - 4026*c**2\/7 - 2012*c\/7 = 0. Calculate c.\nAnswer: -1006, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -2\/91, -0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -148*u - 2*u**3 + 148*u - 2*u**2 as d + p*u**2 + g*u**3 + q*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let n = -3 - -4. Is 17\/3 - n\/o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -81. Let p = -0.0331388 + -82.9832612. Let g = p - r. What is g rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(2 - 2 + 3)*(102*l - 4 - 100*l + 0) to c*l + o and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -10. Suppose 0 = n*t - 6, -2*j - 35265 = -4*t + 58747. Round j to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {s: 12, f: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-16008)\/1740)\/((-4)\/10)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1758499 and 1258.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3933.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -40*i + 37*i. Suppose 3*q - 4*q - i = 2*x, 0 = -5*x. Is 1214\/10 + q\/100 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-7 + 5 - (-21)\/9). Let n = 8 - 5. Suppose 0*c - n*c = -12. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 8*c + 11. Let f be s(5). Let i = f + 14. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r**2 + 1148*r + 173. Give n(89).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18497437?\nAnswer: 7, 41, 64451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u. Let g(o) be the third derivative of 3*o**5\/10 + 257*o**2. Determine j(g(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*j - 84780 = -219*j. Which is smaller: -2825 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2041*k - 536 - 507 - 2038*k)*(-4*k + 3*k + 2*k) - k**2 + 2*k**2 + 0*k**2 as p + i*k**2 + n*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 - -9)*2\/(-7). Suppose 5*v - 3*w + 35 = w, 0 = 4*v + z*w + 2. Is ((-84)\/v - 2) + -4 + 2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 2.4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.44 - 21.38. Which is the third biggest value? (a) -8 (b) 4 (c) 0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57938976 divided by 536472\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-13))\/(f*f\/((f\/(f**(-3\/11)\/f)*f)\/f)))**(-31))**37 assuming f is positive.\nAnswer: f**(147963\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - l = 70 + 19, -3*l + 237 = 3*u. Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13398, -15406, -17402, -19380, -21334?\n\"Answer: z**3 - 2015*z - 11384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (8 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.54 - 2.94. Is b <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:49 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110010010011 - 111100101111?\nAnswer: -1011101111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.093 in 2, -0.016, -0.3, -1\/5, -6\/13?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 970, 17 in ascending order.\nAnswer: 3, 4, 17, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-20)*160\/(-64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51195 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2953*s**2 + 5910*s**2 - 2955*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091063 is divided by 22726?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-55)\/55)\/((-4)\/(-18)))\/(-12)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + -1 + (3 - -5) + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j + 5*k - 26 = 0, k + 2 = 0. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**4 + k**2 + 1. Let m(f) = 2*f**4 - 2*f**3 + 6*f**2 - 6*f - 4. Let o(t) = m(t) + 4*p(t). Factor o(h).\nAnswer: -2*h*(h - 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/60 - d**5\/6 + 3*d**4\/8 - 13*d**3\/6 + 93*d**2. Is y(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*n**3\/3 + 11770*n**2 + 2596020*n - 3898445\/6.\nAnswer: 5*(2*n + 883)**2*(4*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 871500 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Suppose -8 = -3*p + 1. Let t(o) = o**2 + 3*o. Let w(n) = 2*n**2 + 8*n. Let v(d) = p*w(d) - 8*t(d). Give v(k(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u**2 - u - 2. Let t(q) = 4*q**3 + 3*q**2 + 41*q. Determine -3*d(k) - t(k).\nAnswer: -k**3 - 38*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from opoooooooppooooo?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*r - 573, 5*r - 73 = -4*w + 644. Suppose -28*c - r = -31*c. Suppose -n + c + 53 = 3*q, 2*n - 4*q = 190. Does 36 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29509821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(32\/(-12)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -743, -1484, -2225, -2966, -3707?\n\"Answer: -741*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k + 1. Let u = 186 + -190. List the prime factors of p(u).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1104, 397, -4\/7, -5\/3 in ascending order.\nAnswer: -1104, -5\/3, -4\/7, 2\/17, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175429, -351126, -526823, -702520?\nAnswer: -878217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2\/9*p**5 + 17500\/9*p + 118\/9*p**4 + 0 + 12650\/9*p**2 + 242*p**3 = 0.\nAnswer: -25, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let k(i) be the third derivative of -37*i**5\/120 + 5*i**3 + 10*i**2 - i. Let w(p) be the first derivative of k(p). Calculate o(w(j)).\nAnswer: 2738*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 23*q**4\/4 + q**3\/3 - q**2\/2 + 483*q. What is l(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*p + 20 + 15 = 0, p - 279 = -5*k. Calculate the highest common factor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (13 - 5) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3609, -7315, -11021, -14727?\nAnswer: -18433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + -12 + (-2 - 0). Suppose 3*g + 2*o - 6*o = 10, k = 5*g - o - 11. Suppose 3*h = -g*h + 175. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -135*a + 5. Solve 4*r + 61 = -3*w + 70, 0 = w + a*r - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5*a**2\/2 + 43*a - 20. What is the units digit of h(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 892 and 3065358.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1629*f + 9*f**2 - 8*f**2 - 1629*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377182 by 89.\nAnswer: -4238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v + 5. Let o = -6 - -8. Solve -m = -v + o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.4? (a) -0.4 (b) 0 (c) -0.0201 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let r = -8 - c. Let q(u) = -u**2 - 9*u - 1. List the prime factors of q(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2071155 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 28 = -n - 8*u, 3*n - 28 = 2*u. Solve -6*m = 6*m + n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**3 - 12*k**2 + 8*k - 4. Let q(r) = -11*r**3 + 11*r**2 - 6*r + 3. What is 3*n(w) + 4*q(w)?\nAnswer: -8*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (457*n - 148 - 181*n + 146)*(4*n**4 - 2*n**4 - 4*n**4).\nAnswer: -552*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*h + 9 = -6, 0 = -5*c - 3*h + 1. Suppose -b + 6 = -c*a, b + 0*b + 3*a = -4. Solve 2\/3 + 4\/3*j - 6*j**4 - 12*j**3 - 16\/3*j**b = 0.\nAnswer: -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11119267 is divided by 347?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 736\/253*11 - 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -7. Let s = 19 + t. Suppose 0 = s*g + 56 - 801. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187917848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 g when three letters picked without replacement from {g: 2, p: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.2 (c) -24591 (d) -5 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 59. Calculate the remainder when 79 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5) + 10 + -3 + -6. What is the closest to 1 in -2\/143, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14697719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Suppose 4*b + 260 = 9*b. Let g = 123 + -71. Let n(q) = -31*q + g - b. Calculate p(n(l)).\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 868525418 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*y + 115, 5*y = 3*l + 2*y - 45. What is the second derivative of k - l*k**2 + 3*k + 5*k wrt k?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/45)\/((-54)\/30)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 6*d**2 - 4*d**2 + (-1 - 1 + 4)*(2 + 2 - 7)*(73 - 15*d**2 - 73) as z*d + k*d**2 + n and give k.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 15}. Give prob of sequence xo.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3029 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101.7 and 42060?\nAnswer: 4277502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 7*d - 5*d - 4*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 2*u + 5. Let n(s) = 2*s**3 - s**2 - 3*s + 6. Give 2*n(p) - 3*y(p).\nAnswer: p**3 - 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -f + 2*q + q, 0 = -f - 2*q - 58. What is the least common multiple of 14 and -4 - f - (-18)\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1311, -2 in descending order.\nAnswer: -0.3, -2, -1311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -180 * 370.727\nAnswer: -66730.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*r + 27 = -67*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 26*s - 33*s + 13487901 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3*b**4\/4 - 56*b**3 - 600*b**2 - 2304*b + 3149. Determine z so that f(z) = 0.\nAnswer: -48, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -6 - (3 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1596 - -0.15962732. Round d to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 2 - 2*b**2 + 3*b**2 - 4*b**2 + 2*b. Let o be j(0). Differentiate -5 - 2*r**3 + o + 2 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*a*y**5 - 322*a*y**2 - 3*a - 3*y**5 wrt y.\nAnswer: -1200*a*y**2 - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1159 = 78*o - 76*o, 0 = 2*o + 3*p - 1163. What is the lowest common multiple of 40 and o?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = 171 - 96 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {g: 1, p: 9, n: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10654 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1839 - 16556\/9195. Which is the nearest to 8? (a) o (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26912 divided by 1.\nAnswer: 26912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*s - 13429 + 13443 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1ca4 (base 14) to base 5\nAnswer: 131430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-621)*(83 + 262)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-8)\/(-30)) - 1. Let d(u) be the third derivative of u**5\/60 - 11*u**4\/24 - 5*u**3\/2 - 38*u**2. List the prime factors of d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 5. Let l = k - -27. What is the greatest common divisor of l and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**2 + 122*o - 45. Let v be x(19). Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 10 + 5. Suppose -6*i = 2*t - y*i - 470, -t + 2*i + 235 = 0. Let d = -136 + t. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611657.513 rounded to the nearest one hundred?\nAnswer: -611700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-50)\/(-4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 9, y: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 10995556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210880279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -30*p**2 - 5927854*p - 790380 = 0.\nAnswer: -197595, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0428733 and 3771473.47?\nAnswer: 3771473.4271267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3439549 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-24\/11)\/z)\/z)\/((z*z\/(z*z**(1\/4)))\/z) assuming z is positive.\nAnswer: z**(-173\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + x - 4*x - 5*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.28 + 0.28. What is the nearest to q in 0, 5, 2, 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*o - 21*x + 10 - 34, -3*o + 103 = -6*o + 2*x for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 14*n**2 - 4 + 0*n**3 + 2 as f*n**2 + p + q*n + b*n**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 0. Let i(m) = -14*m + 1. Let l be i(-1). Suppose -4*v - v = -l. Solve j = 5*t - 2*k - 6, v*k - 15 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 13, u: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1629 + 1628.7. Put j, 15, 12 in descending order.\nAnswer: 15, 12, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 15*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.03, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1918 and 1442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1512 + -321. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 102) + 11 + 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2782)\/3120)\/(-107)*(-15)\/6*1\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346202 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twl when three letters picked without replacement from {t: 1, o: 1, w: 4, l: 6, h: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f**3 + 28*f**2 + 28*f - 28. Let c(b) = -b**3 + 3*b**2 + 3*b - 3. Determine 28*c(s) - 3*q(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 1 + d**3 - 2 + 3*d. Let k = -7 + 9. Calculate w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-12)\/9)*(-45)\/10. Let x = 68 + -2. What is the highest common divisor of p and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odooocooioccoocodcio. Give prob of picking 2 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6107 + -12215\/2. Is s at most 133.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -40. Calculate the remainder when 65 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 4*f + 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**26))\/(k*k**(22\/5)\/k))**(-5\/8) assuming k is positive.\nAnswer: k**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 202 = j. Sort j, -0.65, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.65, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 359558 + -92673. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 126. Give s(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 58*q + 208. Let p be g(-18). Let n = -649 - p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k. Suppose 19 = -5*l - 4*w + 64, -10 = -2*w. Suppose 8 = -4*m - y, -y - y + 10 = -l*m. What is the units digit of z(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11019948?\nAnswer: 2, 3, 918329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 2*t**2 + 0*t**2 + (3*t - 2*t + t)*(27 - 27 - 12*t).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/60 + 111*a**2 + 2. Let i(n) = 37*n**2 + n. Calculate i(m(f)).\nAnswer: 37*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*y + 16 = 2*y, 12 = t + 3*y. Let n be (26\/(-6) - t - -1)*4. Which is the nearest to 0? (a) n (b) 2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 5}. What is prob of sequence ggy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386431636 to the power of 1\/2, to the nearest integer?\nAnswer: 19658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3652 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11008 and 1792.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1810*a**3 + 5 + 2*a**2 - 3 + 0*a - 3*a + 702*a**3 + 550*a**3 to the form p + o*a**2 + g*a**3 + y*a and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4941 = 4*y + 5*y. Let t = -459 + y. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 608, 810, 1054, 1358, 1740, 2218?\nAnswer: 2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -363 - -182. Let h = o + 181. Which is smaller: -74 or h?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2. Let o = 1.7 + 2.3. Which is the closest to -0.2? (a) o (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x - 2 + 2*x**2 - 2*x + 1. Let b(k) = -11*k + 92. Calculate the remainder when h(3) is divided by b(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6154829, -12309660, -18464491, -24619322, -30774153?\nAnswer: -36928984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 6*c**5\/17 - 242*c**4\/17 - 472*c**3\/17 + 2200*c**2\/17 - 672*c\/17 = 0.\nAnswer: -4, 0, 1\/3, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36969636 and 1515?\nAnswer: 184848180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 12*h**3 + 9*h**2 - 54*h.\nAnswer: -3*h*(h - 3)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1332 and -83\/113121432?\nAnswer: 113121432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 0.30856604.\nAnswer: -10.69143396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/s**10*s)))**(-2\/5) assuming s is positive.\nAnswer: s**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*n + 75 = 0, 172 - 97 = -3*k - 3*n. Suppose -3*j = -j - 5*f + 85, 5*j - 4*f + 170 = 0. Let t = j + 3. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**2 - 22\/3*z**3 - 19\/4*z**4 + 10 + 0*z. Find the third derivative of y(s) wrt s.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-21 - -16) + 14 + (-12 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.65 + -0.515. Round m to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 28 = 148. Let b = g - -36. Let f be (-16)\/b + (-16)\/42. Which is smaller: -0.44 or f?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264817?\nAnswer: 17, 47, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 623*w**2 + 0*w**3 + 6 + 614*w**2 to the form h*w**2 + s*w**3 + b*w + o and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3185 - 5999. Let m = 4162 + w. List the prime factors of m.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 21 + 3, 0 = 3*f - 4*i + 38 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + r**4 - 5*r**4 + (55 - 9*r**4 - 55)*(-2 + 0 + 1) + 2*r**4 - r**4 + r**4 as v*r + u + o*r**4 + t*r**2 + q*r**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, 11, 0.192, 1 in descending order.\nAnswer: 11, 1, 0.5, 0.192, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -58. Solve o*z = 25 - 31 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Let h = y - -1. Which is the biggest value? (a) -0.2 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3512*s - 2173*s + 3821*s + 206400 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/60*p**5 + 0*p**3 + 0*p**4 + 0*p + 14*p**2 + 0. Let r(j) = -16*j**2. What is b(r(f))?\nAnswer: 256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - 0?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 4*z - 3. Let h be s(-5). Suppose 96 = h*p + 2*p. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2136*c + 628 = 2375*c + 150. Suppose -22\/5*x + 2\/5*x**c + 22\/5*x**3 - 2\/5*x**4 + 0 = 0. Calculate x.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5) + -2*310*(-9)\/(-900)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (-4 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 - -161. Factor 28 - 4*x**3 - 5*x**3 - 12*x**2 + 7*x**u + 18*x.\nAnswer: -2*(x - 2)*(x + 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 106. Suppose 645 = 7*v - 4*v + j*f, -2*v + 415 = -f. Calculate the lowest common multiple of 4 and v.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 36*g + 71 = 0, -6908*s = -6912*s + g + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + 1 + (-8 - (13 - 15))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 79807289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2\/7 - 37701*a\/7 + 150468 = 0. Calculate a.\nAnswer: 28, 12539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(117)*1 + sqrt(117))**2 + 2*(sqrt(26)\/sqrt(2) + 0) - ((sqrt(416)*2)\/(sqrt(4)\/(sqrt(2)*1)) + -3)**2.\nAnswer: -348 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + -109*(2 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n)\/((((n\/n**(-2\/7)*n)\/n)\/n)\/n)*n**(7\/3)*n\/(n*n*n\/n**(-8)*n)*n*(n**2*n*n)**(-2)*n**(-6)*(n*n*n**(-2\/13)\/n)\/n assuming n is positive.\nAnswer: n**(-6581\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u. Suppose 2*n - 8 = 4*n + 5*g, g - 16 = 4*n. Let j(h) = -7*h + 1 - 1. Determine n*q(r) + 7*j(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n = 146*n + 720. What is the smallest common multiple of 1032 and n?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6025906 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 20. Let z be h(-11). Let o be 4\/z - 10\/(-35). Suppose -34*l = -59*l + 150. Which is the third smallest value? (a) 2 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**2 - 5*u - 20. Let o(z) = 1292*z**2. What is g(o(r))?\nAnswer: 13354112*r**4 - 6460*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzayzmhny. What is prob of sequence ymya?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + 0 + 6 - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -6941, -1\/7, -236, 0.5.\nAnswer: -6941, -236, -1\/7, 0.5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + sqrt(1573))*-3 - (0 + 1*sqrt(1573)*-1)) + -3 + 1)**2.\nAnswer: 352*sqrt(13) + 6356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*s**5\/7 - 47856*s**4\/7 + 1643877*s**3\/7 + 1703208*s**2\/7 + 12300*s\/7 = 0 for s.\nAnswer: -82, -1, -2\/275, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5637083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19046493 divided by -171.\nAnswer: 111383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 202*x - 4418. Give b(22).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 8. Let s be g(6). Let h(q) = -q**3 - 12*q**2 - 2*q - 2. Let y be h(-12). Let z = y - s. Calculate the lowest common multiple of 24 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (112821 - (-3 - 0\/10)) + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132371*h*o**3*u - h*o**3 + 268*h*o**2*u - h*o*u + h + 8*o**3*u + 2*o**2 + 3199*o*u wrt o?\nAnswer: 794226*h*u - 6*h + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -40. Let j be (-27)\/(-18) - 1\/o. What is the second derivative of -439*q - 1 + 467*q + j + 23*q**5 wrt q?\nAnswer: 460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + v - 2 = 0, 4*k - 2*v - 10 = -2. Let p be 2\/4*(-32)\/(-4). Let x be k\/p + 25\/10. Which is greater: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -44*h + 47*h - 126687, -4*h + 168940 = 4*w. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, j: 1, h: 1, x: 3}. What is prob of sequence jkkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -137c6 (base 16) in base 13?\nAnswer: -2a437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (284\/6)\/((-6)\/9). Let h = -34 - j. Calculate the remainder when h is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i - 10, -3*i = 2*g. Solve 0 = 2*u + 5*r - 0*r - 6, -g*u - 2*r = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 + 8*n**3\/3 + 11*n**2\/2 - 10*n - 1. Let i be v(9). What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893877 at least as big as 3893880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040306 rounded to 6 dps?\nAnswer: 0.000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 9*m**2 - 6*m - 30. Let i be o(14). Suppose 0 = 872*u - i*u - 432. What is the least common multiple of 64 and u?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*w + 172*w + 4*s + 16, -3*s = 6*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 2\/15*a**5 + 1\/36*a**6 - 2\/9*a**3 + 5\/12*a**2 - 104 - 1\/4*a**4 + 0*a. Factor r(j).\nAnswer: j*(j - 1)**2*(j + 1)*(j + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*o**2 - 1 + 36*o**2 + 5*o + 35*o**2 + (-o + 6*o - 3*o)*(-o + 2 - 2) - 2*o**2 - 2 + 2.\nAnswer: -6*o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -6, -2\/7 in descending order.\nAnswer: -2\/7, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 2\/5, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 9:09 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-5362)\/49)*-7. Suppose 5*t = -11*k + 7*k + s, 0 = -3*k + 4*t + 569. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-15)*10\/(-8))\/(493\/5916)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r**2. Let b = 10 + -12. Let x be 6 + b + (-9)\/3. Let q be u(x). Is -21 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 + 120e?\nAnswer: 11c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -15701899064.\nAnswer: -15701899059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q**2 - 13*q - 9. Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 14) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*(3\/(-12))\/(11\/11)*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**(-11))**(-3) assuming t is positive.\nAnswer: t**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*m**2)*((0 - 1 + 2)*(3*m + 4*m - 5*m) + (2*m + 0 + 0)*(3 - 3 - 7)).\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-14)\/16 + 1 + (-4176098)\/(-1264)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7800 and 7696?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + 11 + (-10 - (8 + -36))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 0.3. Suppose 0 = 101*t + 2011 - 496. Which is the second smallest value? (a) t (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1446252618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -19\/2 (c) -1.421 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from wwxwwxww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((3 - 1) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000498927 to six dps.\nAnswer: 0.000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-9)*i**(2\/37)*(i\/(i*i**(-14\/3)))\/i**15)**(-35) assuming i is positive.\nAnswer: i**(71015\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 - f)*(0 + 3 + 0) + f - 5*f + 2*f - f + 29*f - f)*(f**2 + 4*f - f - f) to w + r*f + p*f**3 + s*f**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 35670*y = -35667*y - 13 + 41, 5*l + 12*y + 70 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35*(-22)\/605 - -1. Which is the closest to n? (a) -3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.026 + 18. Let c = l + 0.026058. What is c rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7000 = 320*f + 6220 - 4260 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obrttrrrata. What is prob of picking 1 t and 1 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**8\/21 + 2*s**7\/21 + s**6\/10 - s**5\/3 + s**4\/6 - s**2. Determine n, given that j(n) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 7*n - 66. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131468635.\nAnswer: 5, 47, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(6) - 2*sqrt(6))*3)\/((sqrt(2) - sqrt(4)\/(sqrt(2) + -2*sqrt(2))) + sqrt(2) + sqrt(20)\/(sqrt(10) + sqrt(40) + sqrt(10))).\nAnswer: -36*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2003, 4009, 6031, 8063, 10099, 12133, 14159, 16171?\nAnswer: 18163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Let u(t) be the third derivative of t**6\/720 - 3*t**4\/8 + t**3\/3 + 13*t**2 - 3*t. Let a(w) be the second derivative of u(w). What is a(p(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 299*q.\nAnswer: q*(q - 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2\/4 - 340870360*g + 23238520465305920 = 0. Calculate g.\nAnswer: 136348144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*1 - (-16 + -3). Let s = 25 - y. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 274*p**2 - 5 + 275*p**2 - 11*p. Let z be y(8). Put z, -1\/37, -3, -4 in descending order.\nAnswer: z, -1\/37, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24391339 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2814412946 and -523?\nAnswer: 2814413469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 204*b**2 - 1. Let v(a) = -12679*a. Determine v(t(m)).\nAnswer: -2586516*m**2 + 12679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 43 - 3 - -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -78*r**7\/7 - 2*r**5\/5 - r**4\/4 - 2*r**3\/3 + 724*r + 3175. What is the third derivative of q(v) wrt v?\nAnswer: -9360*v**3 - 48*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -734 - 4?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 1, 0.4 in increasing order.\nAnswer: 0.4, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.85949 decades to years.\nAnswer: 658.5949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 5725*z**2 - 5726*z**2 + 3*z - 1. Let p(r) = 5*r**2 + 3*r + 2. Calculate 3*k(u) + p(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-10) - 2)\/(3\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*t + 19, -4*t + 6*t + 21 = l. Suppose 4200 = l*k + 14*k. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -200883, -6\/5, 1\/2 in increasing order.\nAnswer: -200883, -3, -6\/5, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*q - 20 = 0, -3*x + 4*q - 6 = 26. Let f(y) = y**3 - 4*y - y - 6*y + 7*y**2 - 3. Is f(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/6 + 9*i**2\/2 - i. Let k be ((-4)\/(-1))\/((-112)\/140). Determine w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.808 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:10 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 111111?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -893.026 + 893. What is the nearest to 0.2 in b, -0.5, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 1041, 3618, 8641, 16926, 29289, 46546, 69513?\nAnswer: 99006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -467*q - 6802. Give h(-16).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 753795850 to the power of 1\/3, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121008102.\nAnswer: 2, 3, 2129, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 2*y + (1 - 4 + 1)*(-2 + 2 - y))*(3 - 4 + 2 + (196 - 57 + 45)*(1 - 4 + 1)).\nAnswer: -367*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-3808)\/(-240))*7\/24?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 3*f - 13. Let m be t(-6). Let z = m - -35. Find o, given that 3 - 3 + 2*o**3 - 4*o**3 - z*o**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/7 - 4\/7*c**5 - 1\/7*c**2 + 3\/7*c**4 - 9\/7*c + 13\/7*c**3 = 0?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2377534\/13 or 182887?\nAnswer: 2377534\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0742 - -0.6542. Round l to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2740*v**2 - 211036*v - 294436821?\nAnswer: 5480*v - 211036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at most as big as 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 + -0.04. Let q = 0.5 + s. Let l = -179 - -178.94. Put l, -4, q in increasing order.\nAnswer: -4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Suppose -m*z = -z + n + 9, 0 = 5*z - 2*n. Let k be 12\/(-8)*(z + 0). What is the greatest common divisor of k and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-5)\/25))\/((-2)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imm when three letters picked without replacement from {m: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 16 = 2*l, -3*l - 219 = -3*g. Suppose g*r - 74*r + 1895 = 0. What are the prime factors of r?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {f: 2, p: 4, n: 1, o: 2, w: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:04 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + 28\/16. Suppose -3*y - z + 15 = 0, 12 = 5*y + k*z - 14. Suppose -1 - y = -5*o. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -980968, 2\/155, 1 in increasing order.\nAnswer: -980968, 2\/155, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/9 - w**2\/6 + 6. Factor s(a).\nAnswer: a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -2\/11 (c) -1 (d) -2 (e) -55214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 12:37 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p**2 + 242*p - 36. Give c(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 12*r - 2*l = -9, -4*l = -2*r + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b78 - -5?\nAnswer: -b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/7 - 18*j**2 - 249*j\/7 - 163. Solve y(r) = 0 for r.\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/5 + j**4 + 7*j**3\/5 - j**2\/5 - 8*j\/5 - 4\/5 = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 - 5*p - 10. Let v be x(-4). Let y = v + -187. Let b(k) = 4*k**2 + k + 1. What is b(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 78 = -98 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1035857397 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 6) to base 16\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.1 - 9.97. Round u to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 - 3*a**2 + 2*a + 2. Let w(p) = -13*p**3 - 13*p**2 + 9*p + 8. Determine 9*g(m) - 2*w(m).\nAnswer: -m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -11315\/27. What is the nearest to g in 3\/7, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 39*n - 2*m = -1817, -5*m = -4*n + 2438. Is 607 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*c - c = 256, 5*c + 331 = 4*n. Calculate the lowest common multiple of n and 15.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:12 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6339*f**3 - 32*f**2 wrt f?\nAnswer: 38034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373282729 divided by 2377597.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/76 - (-30)\/8. Solve -5 = 2*s + 5*z + 2, 0 = -3*s - k*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-75) + (-760)\/(-75). Suppose -20*a + 15*a + l = 0. Suppose -m + 5*v + 215 = 0, -m = a*v - 3*v - 203. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 598 + -602 - (-81 + (0 - 2 - 3)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -102*l**3 + 186*l**2 - 94*l + 18. Let p(g) = -101*g**3 + 185*g**2 - 96*g + 18. Let s(z) = 4*p(z) - 3*w(z). Factor s(j).\nAnswer: -2*(j - 1)*(7*j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*w**4 + 63*w**2 + 4*w - 145335?\nAnswer: 292*w**3 + 126*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662763, -662757, -662737, -662697, -662631, -662533, -662397, -662217?\nAnswer: -661987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 6*i = 10. Let z be i\/4*(-15 - -15). Solve z = -3*m + 8*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + q = 24 + 16 - 27, -3*u + 3*q = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -5 - (-1 + 1 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -2, -20.\nAnswer: -20, -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 7. Let b(s) = 3*s - 7. Suppose -6 = j + 2*q, -2*j + 2*q - 6 = -0*j. Let d(x) = j*o(x) + 3*b(x). Let z = -263 - -260. Determine d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18cad - 5?\nAnswer: 18ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975168, -975107, -975046?\nAnswer: -974985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49289, 49290, 49291, 49292?\n\"Answer: p + 49288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.13 + -71. Round d to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 9*y - 617. Let q = y + -46. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*14*(-1360)\/840.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/3 - 68*v\/3 = 0. What is v?\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2*(-36)\/(-45))\/(((-666)\/168)\/37)\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166615 is divided by 974?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, -604 in descending order.\nAnswer: -3, -20, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -11*k - 184. Find the common denominator of (-12)\/(-55)*15\/(-2) and (24\/(-9))\/4 - k\/60.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*m**3 - 226*m**3 - 212*m**3 + (0*m**3 + 4*m**3 - m**3)*(1 + 2 - 5).\nAnswer: -317*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270978125 to the power of 1\/2, to the nearest integer?\nAnswer: 16461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1022 - 1102.9. Let l = 15 + -101. Let f = x - l. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-72))\/(3\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 19.76?\nAnswer: 18.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25390 divided by -10.\nAnswer: 2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + 1. Suppose 0 = -2*g - 4, 0 = 2*a - 2*g + 6*g - y. What is the greatest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5450154137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 412 = -4*u, 284 = l + 5*u + 106. Suppose 11*s - l = 9*s. Is (-1 + (-3 - s))*-1 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37309.2 and -5?\nAnswer: 186546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 2 - 13*u - 3.\nAnswer: -13*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 + u**3\/6 - 2*u**2. Let h(w) = -w**4 + 4*w**2 - 1. Let k(v) = -h(v) - 4*t(v). Differentiate k(q) with respect to q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -142, 1 in decreasing order.\nAnswer: 5, 1, 0, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 336 (base 13) to base 15\nAnswer: 26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377675.\nAnswer: 5, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - -58. Calculate the greatest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -82. Let k be 7\/(14\/(-52)) + -1. Let w = k - s. What is the greatest common factor of w and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*v - 7, -g - 13 = 2*v - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momtetmteqttmqqt. Give prob of sequence mqmt.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*u - 1377 = 124*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*b - 6*b + 4*b + (-1 - 3 + 5)*(-5*b + 4*b + 2*b) + (-2 + 3 + 9)*(b - 2 + 7 - 6) in the form t + j*b and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 - 5*o**2 + 0*o**2 - 3*o + o + 4*o**4 - 1 to y + p*o**2 + s*o + n*o**4 + m*o**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 161. Let r be v(0). Suppose 3*g + 3*h + 11 = 110, -5*g - 3*h = -r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26357406487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -616 - -1401. Suppose -k + 239 = 14*n. Which is smaller: n or -37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 85. Let h(q) be the first derivative of -q**3\/3 + 2*q**2 + 2*q - 4. What is h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12028, 23441, 34850, 46255, 57656, 69053?\n\"Answer: -2*k**2 + 11419*k + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.032?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + 2*a. Let n(j) = -j**2 - 1. Let u be ((-15)\/3)\/(-5)*-3. What is u*n(k) + q(k)?\nAnswer: -2*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 10. Let g(m) = 3*m + 24. Let z(t) = t**3 - 4*t**2 - 18*t + 31. Let k be z(6). Let w(n) = k*g(n) - 12*o(n). Let q(u) = 14*u. Determine q(w(v)).\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 28 - 20 - -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -334*f - 339*f + f**3 + 0*f**2 + f**2 - 4*f**2 - 14 + 679*f as n + y*f + k*f**2 + j*f**3 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -2746513.\nAnswer: 32\/2746513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 2. Let u be g(2). Which is the biggest value? (a) 5 (b) u (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 10*j**2 - 2*j - 34. Calculate t(10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 551433761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298377, 1193601, 2685653, 4774545, 7460289, 10742897, 14622381, 19098753?\nAnswer: 24172025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3897585046 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2672? (a) -4 (b) -1\/9 (c) -2\/5 (d) 0.31 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -250 - 1?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1602391 divided by -11\nAnswer: -1602391\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-70)*254\/(-381)*(-42)\/675?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3\/2, 4\/7, -4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 75 = -3*x, 3*i + 2*i - 3*x = 75. Let u = 15 - i. Solve -y + 0*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506008770?\nAnswer: 2, 3, 5, 16866959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmhhhhhhhhhhhmhhhhh. What is prob of sequence mhm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/7))\/j*j\/j**(-9\/4)*(j*j*(((j**(-2\/3)\/j)\/j)\/j)\/j*j)**(-29) assuming j is positive.\nAnswer: j**(4321\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 - 99*v + 7. Calculate q(-13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = q - 30, 5*f - 40 = -5*q - 0*q. Calculate the remainder when 20 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 10) + 15\/(-9) + 5.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*z - 209*z + 94*z**3.\nAnswer: 94*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/255*850 + 55?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c + c - 9*c - c + 0*c + 7*c + (4*c - 6*c + 3*c)*(-6 + 1 + 3) - 1 + 1 + 2*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -102020.6 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59746?\nAnswer: 2, 29873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5585, -11169, -16753, -22337, -27921, -33505?\nAnswer: -39089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.68 + 0.68. Which is the nearest to -2? (a) -10 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16672 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-9)*(-639)\/(-142)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = 5*k + 22, 0 = 4*k + 4*m. Let f = 6 + k. Which is smaller: f or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 291 + -288. Suppose 4*o - 199 = -l, -2*l + o = v*o - 374. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(15 + -2 - (21\/7 + -6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15270*c - 366485. Give f(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -298 (base 12) to base 6.\nAnswer: -1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 8. Suppose -4*p + 65 = 5*i + p, 0 = -2*p + q. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1296.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 - 3*o**2\/2 + 24*o + 24.\nAnswer: -3*(o - 4)*(o + 1)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76665.66l to millilitres.\nAnswer: 76665660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3)*-2)\/(sqrt(147)*-1 + sqrt(3))*-4.\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 19*m**3 - 8*m**3 + m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 68. Let j be p(-9). Solve 6*y = 31 - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2)*j)**(-10\/11))**30\/((j**5*j)\/((j**3\/j*j)\/j)*(j**(-1\/2)*j)**(-1\/47)) assuming j is positive.\nAnswer: j**(-145125\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1204, -1218, -1230, -1240, -1248, -1254, -1258?\n\"Answer: o**2 - 17*o - 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304 or -15223\/50?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 96*a - 7. Let q be w(2). Let r = 188 - q. Solve -5*f - s - 15 = r*s, 2*s = 4*f - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5396 and 836?\nAnswer: 59356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from jujjfjvffzjmmzjjm.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 130*i**2 + 5*i - 4. Let t(v) = 2*v - 7. Suppose -5*s + 16 = -9. Let l be t(s). Is f(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 122. Suppose -3*q = -4*v - 783, -4*q - 5*v - 1045 = -c*q. What are the prime factors of q?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*a + 45 - 25, -z = a + 5. Solve -5*g + 5 + 12 = 4*u, 5*g + u - 23 = a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 49 - 26 + 68 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -21*m**2. Let y(l) be the first derivative of l**3 + 3. What is y(a(s))?\nAnswer: 1323*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, w: 3, h: 3, s: 8, q: 1}. Give prob of sequence yws.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14806866 and 257831?\nAnswer: 103648062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*w - 1)*(-1 + 3 - 4) + 7 - 4*w - 7 + 21*w + 29*w - 58*w + 2*w - 3*w - 4 + 5 in the form c + j*w and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 103 - 465. Suppose 58*k - 109 = m. What is the third biggest value in -0.12, 2\/21, k?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0\/m*m\/(m**7*m) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 568*m**2 + 6378*m + 5233. Determine q(-579).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23506703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h + 131 - 68*h + 129 - 238 as s*h + g and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15)\/c)**(-11)\/(c*c*c*c\/c**24*c*c*c\/(c**30\/c)*c*c) assuming c is positive.\nAnswer: c**(847\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - ((4*sqrt(243) - sqrt(243))*-5 - sqrt(243)))*-1)\/((sqrt(252)\/(sqrt(8)\/sqrt(2)))\/((sqrt(210)\/sqrt(5))\/sqrt(6))).\nAnswer: -51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.402 + -0.002. Let y = 15.947 - -0.053. Let z = b - y. What is the third smallest value in z, -4, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z**2 + 5 - 3*z - 11*z**2 + 4*z - 6*z**3 in the form d*z**2 + o*z + a + r*z**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*h = -14, -26 = -416*r + 421*r + 2*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11401, -91300, -308183, -730540, -1426861, -2465636, -3915355?\nAnswer: -5844508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2846 + 2845. Let o(x) = -31*x**2 - x - 2. Determine o(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21836069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111 + 110)*((-3810)\/45 - 16\/(-6))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 3*l - 8. Let n be g(3). Calculate the highest common factor of 8 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = -90*c + 181*c - 110*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/15)\/((-15)\/50). Let q be (-3028)\/(-14) + (-6)\/21. Suppose x = 5*h - 0*x - q, x + 128 = 3*h. Calculate the greatest common divisor of i and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 86 = -2*g, 53 = -g - 2*p + p. Let k be g\/(-27) - 4\/(-18). List the prime factors of 9\/k*(-4 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219425824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**5*c*c*c*c*c**(-12)\/c*c*c)\/(c**(-1\/3)*c*c*c*c\/c**(1\/6)*c) assuming c is positive.\nAnswer: c**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 + -952?\nAnswer: -90c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3995947 = 59*u. Does 47 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**2 + 47*l**5 + 44*l**5 - 85*l**5 wrt l.\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34076445 divided by 185.\nAnswer: 184197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*x**2 - 319*x**4 - 4*x**3 + 4*x**3 - 4 + 6 + x**3 wrt x.\nAnswer: -7656*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5487530 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(2 - 2*l**2 - 2) + 0*l**2 + l**2 + 2*l**2 + l**2 - 4*l**2 + l**2 + (-4*l + 0*l + 2*l)*(-l + 5*l - 2*l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + a)*(60 - 124 - 31*a + 63).\nAnswer: 31*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*v + 124*v = 188*v + 693 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0807 in -72, 5, -0.5, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 6 = 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 213.206 millilitres?\nAnswer: 0.213206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2680\/(-135) + 18 + (6 - 4)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17454007.99867 - 17454111. Let s = 249 + -352. Let c = s - p. What is c rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.3. Let k = -2.91 + -1.09. Let r = -2 + 3. Which is the third smallest value? (a) k (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/((-2)\/(-32)). Suppose d - 6 = k, 3*k + 0*k = -3*d + v. Is k - (14*-1 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*s**4 + 321*g*s**2 - 283856*s**3 - 1909*s**2 wrt s?\nAnswer: 72*g*s - 1703136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + m + 1 - 2 + (-m + 5*m - 5*m)*(156 + 65 + 537) to v*m + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1271 + -788926474.\nAnswer: -788926475.1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1928 - 158.\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/12 and -1\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(13) - sqrt(13) - (sqrt(13) + 4 + sqrt(13)*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/3 - 130*b**2\/3 - 631*b\/3 - 250 = 0.\nAnswer: -125, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 804189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (7 - 25) + (5 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1546628*q + 4388996?\nAnswer: -1546628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81787332.\nAnswer: 2, 3, 11, 47, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let g = -22 + 27. Suppose 0*o = -o + g*k + 13, -5*o - 5*k = -5. Solve h - 5*h + 5 = 5*s, t = -3*h + o*s + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1822 - -1264. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132)\/(4*-1) + 6\/(-3). Suppose -9 = -5*y + v. What is the highest common divisor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-5 - (-3 - 3) - (-39 + 36)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122441917 rounded to the nearest 1000000?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60\/7 + -314\/35. What is the closest to -4 in 1, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6406 is divided by 355?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/2340 + c**5\/390 - c**3 - 6. Let z(a) be the third derivative of m(a). Factor z(n).\nAnswer: -2*n*(n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 - 28 + 28 - d)*(-6 + 3 + 5) + d**3 - 9 + 9.\nAnswer: -7*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.694 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.42223 grams to micrograms.\nAnswer: 1422230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 31. Suppose 4*a + j = 6*a - 8, 5*a + j = c. What is the common denominator of 36\/(-16)*62\/a and -19\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 6*g**4 - 4*g**4 + 4*g - 4*g - 4*g**4 + (3*g**2 + 0*g**2 - 4*g**2)*(2*g**2 + 0 + 0) - 5*g**4 + 2*g**4 + g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 4 (b) 2\/11 (c) 7 (d) -103 (e) 0.012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 3*w. Let y be -24*1*(-1)\/w. Let f = y + -95\/8. Sort f, 3, 2 in increasing order.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*b + 390*b - 4100*b in the form q*b + x and give q.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 68. Suppose 11*f - 7*f - 57048 = v*i, -f + 5*i = -14258. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*c**3\/4 + 555*c**2\/4 - 170*c + 55.\nAnswer: -5*(c - 11)*(3*c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -91*m**4 - 3*m**3 - 5*m**2 + 5*m + 257. Let r(x) = -x**3 - x**2 + x + 3. Let q(l) = -f(l) + 5*r(l). What is the derivative of q(c) wrt c?\nAnswer: 364*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 3*i + 147 = 147. Which is smaller: 4\/437 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 8:05 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/10)\/(-1)*(-17 - (6320\/(-1060) + -11)).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.384217497 to two dps.\nAnswer: -3.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 20. Let r be b(-5). Let x(a) = a**2 + a + 5. Let t be x(r). Solve -c - 14 = t*h + 2, 0 = h + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -13*o + 80. Suppose -6 = -8*f + o. Solve 4*j + j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 1. Suppose 20 = -5*n + 9*v, -n - 4*v - 8 = n. Let y(p) = p - 4. Give n*s(k) - y(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 29.95, -0.1, 5, -623 in descending order.\nAnswer: 29.95, 5, -0.1, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712574.4km to nanometers.\nAnswer: 712574400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40175121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbw when three letters picked without replacement from {b: 5, n: 2, y: 1, w: 1, i: 1, j: 3}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -m + 2*n, -4*n = -3*m - 5 + 7. Find the common denominator of (-276)\/72 - (-4)\/m and 81\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14028182 (base 9) to base 2\nAnswer: 11010011011010111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 14 = 2*i, 2822*o + 12*i = 2822*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-50)\/((-1200)\/(-36)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245*i**3*s - 6016*i**3 - 5534*i*s + 2*s + 79 wrt i?\nAnswer: -1470*i*s - 36096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -831 + 829. Let m = 12.9 + -6.5. Let x = m - 6. Sort x, w, -1\/3.\nAnswer: w, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1770007 (base 9) to base 12.\nAnswer: 3b93ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -331*n - 7427 + 18681 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -340 - -104212?\nAnswer: 103762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-36)*x*x)**(27\/4) assuming x is positive.\nAnswer: x**(-459\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3175 + 11212?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7140994 years to millennia.\nAnswer: 0.0007140994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7110388 months in decades?\nAnswer: 0.02259199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -429, -841, -1345, -1971, -2749?\n\"Answer: -5*g**3 - g**2 - 312*g + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3763)\/(-15) + (-5)\/25. Let x = b - 505\/2. Find the common denominator of 27\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 57000*d**3 + 10826772*d**2 + 506952680*d - 517836450 = 0. What is d?\nAnswer: -95, 1, 28689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + a + 6 = 0, q + 33*a = 34*a - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -0.9, -0.02, -0.4, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 150*g**2 + 7*g - 25. Let t(x) = 451*x**2 + 20*x - 71. Give -6*t(r) + 17*y(r).\nAnswer: -156*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4123 + 4650. Are 529 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose c*f = 3*b + 19 - 66, 4*f + 73 = 5*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*g + 23, -5*g - 10746 = -4*p - 10771 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4716, -4725, -4746, -4785, -4848, -4941, -5070, -5241?\n\"Answer: -d**3 - 2*d - 4713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62796.1 kilometers to centimeters.\nAnswer: 6279610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 223?\nAnswer: -21f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1180 - 1178. Suppose f - 7 = -2. Solve -5*u + 3*v - o*v - 20 = 0, 0 = f*u + 5*v + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -595135*h**5 - 288815*h**2?\nAnswer: -35708100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*l - 69 + 46 = 0, 9*k + 2*l = 57 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2081 = 11*r + 2048 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-6))\/((3\/(18\/14))\/((-4263)\/(-1218)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*g = 45927, -h - g = -46196 + 266. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k - 3 = -4*m, -4*k = -5*m + 12. Let q be m + -2 + 0\/(-2). Suppose 0 = -2*i - 2*i + 4. Sort 3, q, i in decreasing order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*(15 - 13). Let s(z) = z**2 + 3*z - 1. What is s(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 3*o + 10. Give k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 101. Let d(j) = -6*j - 101. Let b(k) = 4*d(k) + 3*p(k). What is the remainder when 52 is divided by b(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 5*l + l)*(-19 + 1820*l + 1818*l - 3640*l).\nAnswer: 2*l**2 + 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 543*p + 316 wrt p?\nAnswer: 543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 3. Let i be y(-6). Suppose 5*n = 3*v - 138, -v = i*v - 4*n - 192. Find the second derivative of v + 4*t - 51 + 17*t**2 wrt t.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 304 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -841*g**6\/165 + 667*g**5\/110 + 5*g**4\/2 + 3*g**3\/11 + 236*g. Factor x(p).\nAnswer: -2*p*(p - 1)*(29*p + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4723 times -1\nAnswer: 4723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -2\/3 (c) -4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 157, 506, 1085, 1894, 2933, 4202?\n\"Answer: 115*f**2 + 4*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 23*x + 2. Let b(w) = -1 + 26586*w - 53191*w + 26593*w. Calculate -7*b(a) - 4*t(a).\nAnswer: -8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*1*-2. Suppose 0 = 3*m - z, -2*s - 3*m + 3 = -s. Let d be (-1 - (-10)\/12)*-4. Is s < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47.31 + 273.\nAnswer: 320.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/950927 or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - 54\/(-8). Suppose -5*m + 3 = -j. Suppose r = -m*g - 3, 0*r + 5*r - 20 = -3*g. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -2 - 1\/(2\/24). Let d(p) = -p**3 + 5*p**2 - p + 1. Let f be d(5). Let r = f - t. What is the greatest common divisor of r and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 21*n. Let d(v) = 18*v. Give t(d(y)).\nAnswer: 378*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/9*((-80)\/(-36))\/(-4)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/4)*j**2*((j*j\/(j*j**(-3)))\/j*j)\/(j\/j**8) assuming j is positive.\nAnswer: j**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1037*v**3*x - 5825*v**3 - 6912*x + 2952 with respect to v.\nAnswer: -3111*v**2*x - 17475*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y - 2*l - 3*l, -3*y + 5*l = -9. Suppose -d = -2, 23 = y*h - 3*d - 7. Let t = -4 - -13. Calculate the lowest common multiple of h and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 1, p: 6, d: 12}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -937 from -24777.8941.\nAnswer: -23840.8941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.03 - -12.03. Let x = -3 + 2. What is the third smallest value in 0.4, s, 1\/3, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3613 - 3355. What is the smallest value in 2, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a8a - -103?\nAnswer: 2b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5029607mg in nanograms?\nAnswer: 502960.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 9:26 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -259334, -260364, -263158, -268598, -277566?\n\"Answer: -147*w**3 - w - 259186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 2974*p\/3 + 9938860\/9.\nAnswer: 2*(p - 2306)*(p - 2155)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 803 - 224. Suppose 0 = 2*t - 5*z - j, 6*t + 3*z - 1370 = t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-8 + (-165)\/(-22)). Put -6, 4, 1, q in ascending order.\nAnswer: -6, 1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:00 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -3. Let s be 100\/y*12\/10. Solve -7*p = -2*p + s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1743 + 2112?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*h**4 - 6*h*m**3 - h + 9*m**3 + 11*m**2 + 47*m wrt h?\nAnswer: -20*h**3 - 6*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 + 80\/(-36). Suppose -m = -6*m. Suppose m*r = -r + 5. Sort 1, r, s.\nAnswer: s, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233.3 - 65.7. Let p = -299.0000141 - b. What is p rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173125227.\nAnswer: 3, 11, 476929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-10)\/25*(-285)\/(-1748)). Let s(v) be the first derivative of -d*v + 17 - 25\/2*v**2. Find the first derivative of s(q) wrt q.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b = -134*b - 720 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**4\/2 - 1684965*p**3\/2 + 58125987*p**2 - 1031073630*p + 973790124 = 0.\nAnswer: 1, 34, 561586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 13*k - 18. Let o be h(11). Let z be (72\/o)\/2 - 0. Let s(n) = n**2 + n - 7. Is s(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.384 - 0.384213. What is s rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 13. Let i = 5.51 - 0.51. What is the nearest to -1 in i, l, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-2)\/6)\/((-77)\/470085)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:35 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - -82 - -8) + -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427 + -412. Suppose -q = -3*n, 3*n - 681 = -u + 5*n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -67. Let c be v + -4 + (-9 - (-372)\/12). Solve c = -4*j + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/20 + b**4\/3 + b**3\/3 - b**2\/2 + 6*b. Let g be n(-3). Solve g*a + 0*a = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1780 and 7387?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from aaknvvvycnnvvaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6199?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 1. Suppose 0 = 2*h + 4*r + 10, -4 = -r - 7. Give s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 2842.\nAnswer: 31262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.113689, 45, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -24674464.1 to the nearest ten thousand.\nAnswer: -24670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let a be (-4)\/(-2) + d + 4. Let g = 14501 + -14500.6. Sort -0.5, a, -0.1, g.\nAnswer: -0.5, -0.1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13170 + -13166. Let -1458\/11*y**u + 32\/11 - 576\/11*y**2 - 3240\/11*y**3 + 160\/11*y = 0. What is y?\nAnswer: -2, -2\/9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-12) + (-11)\/(-2). Let z = x - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 43 + (-57 - -35)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 12. What is the units digit of o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 884538?\nAnswer: 884538.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5211 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 148 - 102 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*p - 26, -4*p - 2 = 4*l - 18. Suppose -6 = -2*z + 2*o, -2*o = 5*z + o - l. Factor 4*v - 8*v - 5*v**2 - 2 + 3*v**z.\nAnswer: -2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 166344296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74807 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 20.30294 micrometers?\nAnswer: 0.00000002030294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329477 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351773.\nAnswer: 351773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avaw when four letters picked without replacement from waava?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -9*g - 6*g. Suppose 0*v + 2\/3*v**2 + 0 - 4\/3*v**3 - 2*v**g = 0. Calculate v.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/877203139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 3*m**2 + m**2 - 12*m**3 - 5*m**2.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-19 - -20 - 21)) + -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55 * -2538861\nAnswer: -139637355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1868, -3735, -5602, -7469, -9336, -11203?\nAnswer: -13070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**4 - 2 + 2*x**3 + 2 - 5*x**3 + 1 in the form n*x**4 + r + u*x**3 + m*x**2 + c*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2. Let g(z) = -68*z. What is g(d(i))?\nAnswer: 476*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*d + 213 - 213.\nAnswer: 278*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {s: 10, f: 9}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x - 6. Let d(s) = 4*s + 45. Let g(r) = -8*r - 76. Let t(l) = 5*d(l) + 3*g(l). Determine 3*b(j) - 7*t(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-11 - 1 - (10 - (8 + -104))) + 7).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 26*r**2 - 2 + 3*r**2.\nAnswer: -24*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 353 (base 6) to base 16\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 3*p - 3. Let w(a) = a**2 - 6*a + 7. Let x be w(5). Calculate j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 927 = -4*h, 4*o - 2*h - 3719 = 3*h. What is the greatest common divisor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/9*27\/(-6). Suppose j + 5*w = 26, -3*w = -u*j - j + 6. Sort 10, -2, 3, j in ascending order.\nAnswer: -2, 3, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-11 + -7 + 25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300882 is divided by 6610.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928362 is divided by 636.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from katiyikikmy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.38307l?\nAnswer: 68383.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 65*j**2 - 5*j + 4. Let r(i) = 0*i - 6*i - 4*i + 8*i. Determine r(q(a)).\nAnswer: -130*a**2 + 10*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.15 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330554 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) - 1*(sqrt(13) + -4*sqrt(13)) - (4*sqrt(117))**2)*6.\nAnswer: -44928 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 17. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872)*-2 + -4)**2 - ((-3*sqrt(208) + sqrt(208) + sqrt(208) + sqrt(208) + -5)**2 + 1).\nAnswer: 240*sqrt(13) + 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (315\/(-14) + 24)*(220\/(-15) + -4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-9 + (17 - 10) + -71)) + (2 - -7).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58557690 to the nearest integer?\nAnswer: 7652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 40. Let q = -7 + r. What is the nearest to -1 in 0, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8502638 and -0.4.\nAnswer: 3401055.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -250 + -7?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 16) to base 11.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/5*l**3 + 0*l - 4\/5*l**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7047 divided by -3\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -174. Let i(t) = -t**3 - 8*t**2 - t + 5. Let a be i(-6). Let m = a - y. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 22*g**2 + 1965*g + 39421. What is o(-20)?\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5)*(123*w**3 - 50*w**3 + 68*w**3) in the form k*w**3 + l*w**2 + q*w + b and give k.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1547656, 1547654, 1547652, 1547650?\nAnswer: 1547648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 391595, 391613, 391633, 391655, 391679, 391705?\n\"Answer: x**2 + 15*x + 391579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/3 - 3) + 5. Suppose -f*i - 2*i + 10 = 0. Does 11 divide 11\/2*(i - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + -21110100?\nAnswer: -21110301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69289*a**3 - 3*a**2 - 7928*a - 2 wrt a?\nAnswer: -415734*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(8\/10)*10\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 4*s + 20. Let r be o(7). Let n be ((-2)\/(-4))\/1*4. Let q(c) = -3*c**2 + 2*c**2 - c + 3*c**n. What is q(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6021*x**2 - 1574632*x - 1 + 1574632*x to the form g*x + m*x**2 + t and give m.\nAnswer: 6021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-30 + 12 - 8 - -9) + 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5, -0.27, 0.4, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 + 18*s**2 - 170*s - 528. Give w(-3).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 57*m**3 + 370*m**2 + 22*m + 39. Calculate z(-6).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36138\/1463 + -26 - (-8)\/11.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 1, e: 2}. What is prob of picking 1 e and 1 o?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -119. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*s**2 + 18*s**2 + 19*s**2)*(-1 + 44*s**2 + 1).\nAnswer: 660*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 11:54 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*l = 3*s - 268, 9 = -3*l. Suppose 5*n + 5*z = 3*z - 7, 2*n - 4*z = 2. Let d be 15 - n - (-4)\/(-2). What is the highest common divisor of s and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/75)\/(1*4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -409176, -409178, -409180?\n\"Answer: -2*w - 409174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2729 + 1480 + 2407 + 3802 - 991)*(-4*s - 2*s + 4*s) as t*s + o and give t.\nAnswer: -18854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 2*j - 2*j + (-2 + 5 - 4)*(-5*j + 3*j + 0*j) + 7*j + 4*j - j - 2*j + 3*j - 2 - 7*j.\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 = 2*l, -182*l + 2 = -183*l - 3*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15959 is divided by 9530.\nAnswer: 6429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 13 = j + c, -4*c = -4. What is the greatest common divisor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 262 = -4*z, -3*z + 4*z - 2*f - 70 = 0. Suppose 0 = 3*w - s - z, 112 = 4*w - 0*s + 4*s. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/1084 - 1003\/188074. Let w = 11113\/12492 + c. Factor -8\/9 + w*d**2 - 4\/9*d**3 + 4\/9*d.\nAnswer: -4*(d - 2)*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 10420886?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - 2*x**2 - x + 1. Calculate the remainder when 40 is divided by h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1217 and -49635?\nAnswer: -60405795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.031814.\nAnswer: 0.095442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 55*h**2 + 3*h**3 - 6*h**3 + h**3 + 2 - h**3 - 61*h**2 in the form j + d*h + x*h**3 + o*h**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -33. Let c be 3*(20\/12)\/5. Differentiate 3*l - y - l - 6*l - c with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103579791 <= 103579791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5125031 (base 7) to base 11.\nAnswer: 388552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 8*k = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.304 * -0.0572.\nAnswer: -0.0173888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468386182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + r = 2, -4*c - r - 1 = -0*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 18*f\/5 - 504\/5.\nAnswer: 2*(f - 21)*(f + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -62641?\nAnswer: -62644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 q, and 1 f when four letters picked without replacement from {a: 2, w: 8, g: 5, q: 2, f: 3}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 952 = -2*i - 896, 3*a - 314*i + 233 = 0 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 8 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvvmmmvmmvm. What is prob of picking 2 m?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/17))**(-25\/4)*(j**(2\/9))**(-1) assuming j is positive.\nAnswer: j**(-259\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 - 6396*o - 5113602 = 0?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 a when four letters picked without replacement from axavavxax?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5676*g - 5684*g + 17050*g - 5679*g + 2.\nAnswer: 11*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) + 1 + 4 - (-2*sqrt(1100) + 2)) + -5)**2*-4*4.\nAnswer: -158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 72. Suppose 161 = -122*x + 129*x. Give z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)**(-32)\/((v\/v**(3\/8))\/((v**(2\/9)\/v)\/v))*((v\/(v**(1\/4)\/v))**(-6\/7))**18 assuming v is positive.\nAnswer: v**(-6725\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4971 is divided by 61?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*c**2 - 1 - 52*c**2 + 7*c**2 + 1.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 316. Let k(u) = -2*u. Give -6*k(j) - v(j).\nAnswer: 7*j + 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 1072 = -94*d. Solve i - d = t, 4*i + 2*t - 31 + 35 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -493*x**3 + 1323*x**2\/2 + 677. Find the second derivative of t(n) wrt n.\nAnswer: -2958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1489, -18732, -5 in descending order.\nAnswer: -5, -1489, -18732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11824 (b) 0.5 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*1\/((-10)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8224 - 4732. What are the prime factors of z?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*s + k, -4*k + 31 = -3*s - 15. Let u be s\/(-27) - (-1)\/6. Let w = 1.2 + 4.8. Which is the closest to 0? (a) w (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**2 - 43*p**2 + 20*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + 0*y)*(6*y + 598*y + 657*y)*(0 - 2 + 3 + (-1 - 1 + 4)*(-2 + 3 + 1) - 3 + 2 + 3).\nAnswer: 17654*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12612 and 12612.\nAnswer: 12612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -806.508887 to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7*126\/(-54). What is the closest to 2 in t, -2\/11, 12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1422*f**3*h - 4*f**3*n + 425*f**3 - 456350*f*h*n wrt n.\nAnswer: -4*f**3 - 456350*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3586\/8 + 2\/(-8). Let r = -1587 - -1591. Factor 256 - 11*x**3 - 45*x**3 + 132*x**2 + p*x - 3717*x**4 + 3721*x**r.\nAnswer: 4*(x - 8)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5297675 or -5297661?\nAnswer: -5297675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2575124 (base 9) to base 10\nAnswer: -1407802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*z + z + 78 = 0, 3*q = 2*z + 128. Is 1074\/22 - (-8)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 + 2*p - 13. Let o be i(6). Let f be (-26 - -1)\/(235\/(-236) - o). Round f to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23457 divided by -110.\nAnswer: -23457\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105666 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**2 - 84*v**2 - 76*v**2 - 29*v**2.\nAnswer: -228*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 5*s + 4, 2*d = -2*s - 15 + 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.167 - -0.067. Let o = -0.2 + 0.1. Let x = o - y. Which is the nearest to -1? (a) -3\/8 (b) 2\/13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -1.5436851?\nAnswer: -1.5636851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 943325544.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 31*b**2 + 249. Let f(h) be the second derivative of h**4\/12 - 100*h. Give x(f(q)).\nAnswer: 62*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 727062951 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1829, -5618, -9407, -13196?\nAnswer: -16985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b + 2. Let n be o(1). Find the first derivative of -g**2 + g**2 + 1 - 4*g**4 - n wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 72.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from ddbbdjfjljfj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4655, 1, -2\/3, -0.1, -1\/3, -2, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1326)\/85)\/(492\/(-15)) and -21\/22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a**13\/a*(((a*a*a*a**13*a*a*a*a)\/a)\/a)\/a**(2\/9))**(-2\/29) assuming a is positive.\nAnswer: a**(-320\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1721 + 2573. Let g = h + -852.000411. What is g rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 555*w - 560.\nAnswer: 5*(w - 112)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1374 + 1351. Which is the nearest to 0.2? (a) -1 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 12) + (-1 + -1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -361945.388 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39202930 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8612 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19819 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 15*z - 2697. Let h be a(-60). Let k = 7 - 13. Let r be (-4)\/k*42\/4. Solve 0 = y + y + h*i - 22, 3*y = 2*i + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**3\/3 - 9*p**2\/2 + 11*p - 35. Calculate a(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - -4 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 + 1 = 0. Suppose q**3 + 0*q + q - q**2 + 1 + 0*q**2 - g*q = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 21 = -4*v. Suppose 3*d - 4*r + 127 = 0, -d + 4*r - 21 = v*r. Calculate the common denominator of d and 0 - (1 + (-91)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -0.4 (b) 1\/4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3\/20, -2, -2361?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 25, a - 23 = -3*p. What is the third derivative of 22*q**2 - 6*q**2 - 186*q**3 + 3 + p*q**5 + 190*q**3 wrt q?\nAnswer: 360*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*w + 11*w = 141*w - 480 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Let q = 42 - 56. Let h be (-20)\/q - (-1 - -3). Which is the nearest to 0? (a) -2\/9 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3184*r - 70067. Calculate c(-22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1303 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 73 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 208 - 13813?\nAnswer: -13605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3073115 is divided by 315?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536881 is divided by 536812?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*v - 4 = -v, 0 = 2*v - 2. Let h(y) be the third derivative of 0 - 4\/9*y**3 + 1\/30*y**5 - 1\/180*y**6 - 2*y**2 + s*y**4 + 0*y. Factor h(w).\nAnswer: -2*(w - 2)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 40698*p\/5 - 162824\/5.\nAnswer: 2*(p - 20353)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 17*f**2 - 29*f + 13. Determine n(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20608 and 373728.\nAnswer: 240680832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2 - -1*sqrt(180) - (sqrt(45)*2 + (sqrt(5) + -1)**2 + -1))*6.\nAnswer: -48*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 x, and 1 s when four letters picked without replacement from kxsksssgkkgxkgsscyxx.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9378 - -9452. Solve 75*p - 6 = -l + i*p, -3*l - 2 = -2*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 6*a + 9. Let l be o(-5). Suppose -4*c = 4 - 32. Solve 3*h + l - c = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363*t**6 + 2*t**4 - 95*t**2?\nAnswer: -43560*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + -1. Let o = -4 - k. Let r = o - 6.8. What is the nearest to 0 in 2\/7, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(684) + -5 - (sqrt(684) + (sqrt(684) - (sqrt(684) - -2*sqrt(684))) + 2).\nAnswer: -9 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2385139 (base 10) to base 12.\nAnswer: 970357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000101110001010 (base 2) in base 14?\nAnswer: 28c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(847) + sqrt(847))**2.\nAnswer: 102487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2397*k - 9723?\nAnswer: 2397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 2\/19, -0.057 in ascending order.\nAnswer: -1, -0.057, 2\/19, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -13 - (7 + -3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-2*k**4 + k**4 + 2*k**4) + (-1 + 1 + 2*k**3)*(-15*k - 1 + 1).\nAnswer: -33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -16*b + 3. Let p(f) = -1. Let x(u) = -2*p(u) - s(u). What is the units digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -1110477.\nAnswer: -2776192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130, -538, -1256, -2314, -3742?\n\"Answer: -5*j**3 - 125*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440519223, 881038447, 1321557671, 1762076895?\nAnswer: 2202596119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782 is divided by 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.12*0.085.\nAnswer: -2.1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 26*g**3 - 1950*g**2 - 144*g + 10781. What is y(75)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 3. Suppose 5*u + 35 = -0*u. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2679 or 2677?\nAnswer: 2679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 3. Let o(l) be the first derivative of l**2\/2 + l + 1. Let v(j) = -5*o(j) + 2*r(j). Let q be v(0). Solve -q = 2*u + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -2*c**7\/105 - 9*c**6\/10 + 2*c**2 - 42*c. Determine z so that m(z) = 0.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from yyyydyyedy?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**5 + 4*g**2 - 4*g**2 + (-2*g + 0 + 0)*(-g**4 + 3*g - 3*g) + (-2*g**4 - 4 + 4)*(g - 2*g + 3*g) + 0*g - g**5 + 0*g.\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*k + 3520 = 31*k. Solve -d - k = -31 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*f = 361*f - 693 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrircllblbhirbblrbb. What is prob of picking 1 b and 1 r?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 999 = 4*h - 237. Is 39 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m = -67*m + 3360. What is m rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -15 - 5. Put 4, -1, d in increasing order.\nAnswer: d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877923897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-3))*(-20)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + sqrt(540) + sqrt(540)*-1 + sqrt(540) - sqrt(540) - -1*sqrt(960))\/((sqrt(10)\/sqrt(2) + sqrt(5))*-2 - (-1*sqrt(125) + sqrt(125))) + 2)**2.\nAnswer: -14*sqrt(3) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7483, -2, -720 in ascending order.\nAnswer: -720, -2, 7483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/6 - u**3 - 12*u**2. Determine l(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128306?\nAnswer: 2, 64153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37453 (base 10) to base 8.\nAnswer: -111115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - -1*sqrt(1573) - sqrt(117)\/(sqrt(9)*-4).\nAnswer: 49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3998.52645 to the nearest integer.\nAnswer: 3999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 55. Let v = 0 + f. Suppose -u = -3*u + 64. Calculate the remainder when u is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17a23 + 0?\nAnswer: 17a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/9, 15846\/11, 0.4, -3.5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**8\/h*h*h*h**4)**(-27) assuming h is positive.\nAnswer: h**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*(2 + (-42)\/4). Suppose -5*g - 2*f + f - 58 = 0, 0 = -4*f + 8. Let c = g + r. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 7 = -5*f + 4*f, -2*p = 5*f + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 12*c**2 + c + 14. Suppose 0*b + x = -2*b - 15, 2*x = -6. What is the remainder when 0 + -2*15\/b is divided by r(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1760385643.\nAnswer: 43, 109, 379, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3782160 and 79920.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 95\/25 - 7\/(-35). Let f(v) = v**2 + 8. Let a(x) = -x**2 - 6. Let q(c) = g*a(c) + 3*f(c). Let n(z) = 13*z**2. Determine q(n(y)).\nAnswer: -169*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 6 (c) -4 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18173849*r**3 - 20974559*r?\nAnswer: 109043094*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 154, 14, -3.6, 0.5 in descending order.\nAnswer: 154, 14, 0.5, -3.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*i - 24 + 69, -3*x = i - 11. Solve 5*v - 3*m + m = 14, 0 = -4*v + x*m + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 2*m**4 + m**4 + (6 - 6 + m**3)*(-m - 4*m + 6*m) + (-4*m**2 + m**2 + 4*m**2)*(4*m - 2*m**2 - 4*m).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1272, -2545, -3810, -5061, -6292, -7497, -8670?\nAnswer: -9805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25240?\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -212*p**2 + 1694*p + 16. Determine o(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**4 + 4*a**3 - a**2 - a - 3. Let l = -3 - -6. Let d(g) = -3*g**3 + g + 2. Let i(b) = l*d(b) + 2*n(b). Solve i(w) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 77. Suppose -m*y - 12 = -11*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 13 = 2*r + 3, 10 = 2*r. Let g be 5\/20*t - 80. What is the units digit of 110\/4*(-288)\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 240610337?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7249489 and -0.1?\nAnswer: 7249488.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -79 (b) -0.9 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 14*d**2 - 11*d + 20. Determine j(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 1, r: 2, w: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -146?\nAnswer: -145.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**3\/3 + g**2\/2 - 2*g - 1. Suppose -2*d + 4 = -d. Suppose -3*y + 0*s - d = -2*s, -3*y - 2*s = -16. Determine q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -10. Let u = q - 7. What is the closest to -1 in -5, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 44*b - 56*b**2 + 791*b**3 - 1 + 55*b**2 + 7 - 43*b to o*b**3 + y*b + i*b**2 + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000101 (base 2) to base 9.\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*o + 46 - 6, -o = 0. Let h be (-4)\/(-10) - (-8)\/t. What is the smallest value in -1, h, 3, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27) + 30*6\/(-162)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3852 + -3847. Let m = -432 - -422.76. Let u = -9 - m. Which is the third biggest value? (a) u (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/5040 + c**6\/240 + c**5\/15 - 2*c**2. Let w(f) be the third derivative of n(f). Find the first derivative of w(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 43*t**2 - 18*t + 22. Let x(j) = -5*j - 24. Let h be x(-9). Calculate the smallest common multiple of l(h) and 50.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/37598879 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 at least as big as -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - -4) + -6 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/356 and -65\/12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - 140*a - 816 - 4*a**2 + 138*a as y*a + d + p*a**2 and give d.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -3)\/(1\/5). Suppose -641000 = 14*u - s*u. Round u to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25846*b + 59024*b - 172218*b - 135118*b.\nAnswer: -222466*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -33 - 13*v - 5*v - 13*v + 18*v. Is z(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 475 and 76?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6.6. Let t = -4.6 + h. Let i = 44 + -47. What is the nearest to i in t, 0, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**2 + 5 + 40*r - 215*r - 5 - 6*r**2 as h*r**2 + x + j*r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 5, -3, -6 in increasing order.\nAnswer: -8, -6, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 231063?\nAnswer: -231065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/41)*l**(4\/3)*l*((l**(-40)\/l)\/l)\/l*l*(l*l**(-4\/9))\/l)**27 assuming l is positive.\nAnswer: l**(-44349\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeeqeroqeqeer. What is prob of sequence orr?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let o(d) = 4*d + 3. Calculate o(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + 0*j)*(-j - 2*j + 2*j)*(-3*j - 3 + 3).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235506109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-1449)\/(-3220))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11411\/5 at most 2282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c - 36. What is the tens digit of p(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**3 + 2*h**2 - h + 9. Determine c(-3).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-85)\/(-20)*(0 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*o, 3*o + o + 61 = j. Let z(y) = -38*y + 4 + j*y - 44*y. Let x(h) = 14*h - 11. Determine 4*x(l) + 11*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1148*v - 4597. Let k be w(-4). What is the nearest to 0.1 in 1.2, 18, 4, k?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1512 and 13\/178486?\nAnswer: 19276488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*f = 13960, -5*b + 34924 = -20*f + 23*f. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 26 - 6. Suppose -4*m + 256 = 2*i + 2*i, 0 = c*i - 5*m - 256. Calculate the lowest common multiple of 4 and i.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 (base 3) in base 2?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l - 3115 = -3053 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -744, -301, -1, 12 in descending order.\nAnswer: 12, -1, -301, -744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75.391 and -0.356.\nAnswer: -26.839196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlhhllakhhkh. What is prob of sequence lal?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 14) to base 8\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 43*s**5\/60 + s**4\/8 - s**3\/3 + 13*s**2 + 47. Let b(w) be the second derivative of a(w). What is the units digit of b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -4*2*sqrt(68))\/(sqrt(64)*-2).\nAnswer: 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, -10, -1, 0, 469 in increasing order.\nAnswer: -15, -10, -5, -1, 0, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/11 - (-8)\/44. Let h = -19\/12 - -9\/4. Find y, given that h*y**4 + t*y**2 - 8\/3*y**3 + 2\/3 - 8\/3*y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*m = 37 + 63, -4*s - 3*m = -49. Suppose 4*k + s = 8*k. Let a be 16\/(-180) - k\/30. Put a, 9, -1\/7 in decreasing order.\nAnswer: 9, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423603 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 5. Let r be x\/14 - 9\/(-63). Find the third derivative of 15*i**6 + 10*i**2 + 1 - 1 - i**r wrt i.\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 14 = -2*x, -17 + 7 = 5*x + 5*g. Suppose 3*c = -3, 2*c + 2 = x*k + k. Solve -3*y + 2*j = -2, -y + 5*y + j - 21 = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/3 + 142*y\/3 - 92 = 0?\nAnswer: 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39404 - 5172384.\nAnswer: -5132980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146475070, 292950141, 439425212, 585900283, 732375354?\nAnswer: 878850425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0396 plus 52.7?\nAnswer: 52.7396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3058.650255 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15)*155\/((-9300)\/(-5220))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -43 (b) -5 (c) -22\/8621 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5 + 2*m**4 + 845*m**3 - 40534*m?\nAnswer: -20*m**3 + 24*m**2 + 5070*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9869572 to the power of 1\/2, to the nearest integer?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 2*g - 1. Let h be m(-3). Let v = 7839 + -125501\/16. Find the common denominator of v and (-4)\/10*620\/h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((7 - 3) + -42)*(-1 + -3). Calculate the common denominator of -75\/94 and 19\/s*(-101)\/2.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrpprrrrrpprp. Give prob of picking 2 r.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1549, 12435, 42001, 99589, 194541?\n\"Answer: 1557*i**3 - 2*i**2 - 7*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63841 and 0.4.\nAnswer: 25536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 7 - 0. Let k(y) = -2*y**3 + 3*y**2 + 2*y. Let n be k(t). Let g = -13 + 13. Solve g*d + n*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46295799 or -46295792?\nAnswer: -46295799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 5*w + 5*z - 263, 6*z = 7*w - w + 3*z + 72 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 850*g**3\/3 - 1057*g + 947. Differentiate l(h) wrt h.\nAnswer: 1700*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 39 = 3*q - o, -12 = -4*o. Suppose 3*w = 4*b - 340, 2 - q = 3*w. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, -1, 28.\nAnswer: -1, 28, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567*k + 1530 = -537*k. What is the lowest common multiple of k and 5?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/67 or 1\/2?\nAnswer: 10\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-230)\/70))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.2, 5, -301.6, 4\/7, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h*h**(-1\/4))\/h*h)**(-44)\/(h\/(h\/h**(-1\/5)))**(1\/31))**(-21))**(-2\/159) assuming h is positive.\nAnswer: h**(-262556\/8215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75))*1 + sqrt(75) + sqrt(75)*2 + -2)**2*2*5.\nAnswer: -400*sqrt(3) + 12010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -325*g**2 - 2*g - 1. Let a be j(-1). Let w = -667\/2 - a. What is the common denominator of w and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 - -678\/5. What is the second biggest value in x, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 624 + -605. Solve 4*m + n = -5*t, -5*t = -m + 8 + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f**2 + f + 1. Suppose h = 5 - 1. Suppose 0 = -h*t + 5*t. What is r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*o**2 + 2)*(-2*o**3 - 2*o**3 + 3*o**3) + 0*o**5 - 2*o**5 + 4*o**5 - 4*o**5 + 2*o**5 + 2 + 0*o**5.\nAnswer: -4*o**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 5*c - 1)*((2*c**2 - 8*c**2 + 0*c**2)*(0*c - 7*c + 2*c) + c**3 + 2*c**3 - c**3).\nAnswer: 160*c**4 + 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 703084*474\nAnswer: 333261816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777697767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 56*m**2 + 1 - m**3 - 62*m**2 + 3*m + 3*m + 2*m. Calculate x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 4*i - i)*(2 - 4 + 3) + (7*i + 5*i - i)*(0 + 3 + 0 - 3 - 1 + 6 + (-3 + 1 + 1)*(1 + 2 - 5)))*(5 + 2*i - 5).\nAnswer: 158*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 97832 and 97870 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*y**3 + 744 - 2226 + 740 + 742.\nAnswer: -50*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527622 times -3?\nAnswer: -4582866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2021784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -797.\nAnswer: -1115.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -26. Suppose 5*s - k = 211, 23*k = s + 20*k - 31. Let m = 54 - s. Calculate the lowest common multiple of m and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -246\/3187751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-2)\/(-2) + 0). Suppose -8*j - 97 = -105. Let r = j - v. Solve r = x - 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 15 (b) 1 (c) -5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6321237 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152643 is divided by 1577.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33345990*a**5 + 2*a**4 - 741758973*a.\nAnswer: 666919800*a**3 + 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -15.7 (c) 9909 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znazznwwwcl. What is prob of picking 1 c, 1 w, 1 l, and 1 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24301851*p*q**2 + 2*p - 332989267*q**2 wrt p?\nAnswer: -24301851*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*6580\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8347249 * -0.6.\nAnswer: 5008349.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 30*l - 6. Let t(p) = -6*p + 1. Let f(y) = -4*j(y) - 21*t(y). Calculate the remainder when f(5) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m**3*n**2 + m**3 - 2*m**2*n**2 - 23*m*n**2 - 2*m wrt m?\nAnswer: 72*m*n**2 + 6*m - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100010010 - -10?\nAnswer: 111100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 379983*m. Let d(i) = -66*i + 2. Determine q(d(o)).\nAnswer: -25078878*o + 759966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3001 - 3001.06. What is the smallest value in 6\/5, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -400, 1 in decreasing order.\nAnswer: 1, -4, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 212243850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x. Suppose x = 6*f - f - 260. Suppose 0 = -j + 3*g + f, 0 = j - 3*j - 5*g + 93. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85338347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1066\/33 or 1\/1244?\nAnswer: 1\/1244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - -2 - (1 - -1). Suppose -i*j + 18 + 14 = 0. Let c(v) = 4*v**2 + 2267*v + 15685. What is the lowest common multiple of c(-7) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4737348 hours in microseconds?\nAnswer: 1705445280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 42. Let p(o) = -4 - o**2 - 5*o + 2*o + 5 + 2*o. Determine p(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -55*h - 1. Let q(k) = -13*k**2. Calculate q(z(v)).\nAnswer: -39325*v**2 - 1430*v - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 6. Let s be l(5). Suppose 6*z = 3*z + s. Suppose 4 + 2 = n - v, -2*v = -z. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0835792 millennia?\nAnswer: 0.835792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/5*10 + (-2)\/(-4)*-6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i + 20*i - 41*i + 11417*i**2 - 11434*i**2 - 36*i**3.\nAnswer: -36*i**3 - 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 4}. What is prob of sequence vm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48671 is divided by 11901?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/4, 6, 4\/3, -2\/11, 0.5 in increasing order.\nAnswer: -13\/4, -2\/11, 0.5, 4\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -v - 2*v. Let y be v\/27 - (-34)\/72. Factor 1\/4 + 0*p - y*p**2.\nAnswer: -(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3721\/4 in 2\/13, -1, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15360 (base 7) in base 14?\nAnswer: -17d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472342 and 54834?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83295594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - (-16310)\/(-420)) + (-8)\/(-6).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 268*s - 272*s - 88. Let a(p) = 8*p**3 - 3*p**2 - 3. Let l(m) = -55*m**3 + 22*m**2 + 22. Calculate s*a(u) - 3*l(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.61 (b) 0.1 (c) -3\/2 (d) -4\/3 (e) 7 (f) 1 (g) -0.631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24496241.\nAnswer: 7, 11, 79, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)**(2\/11)*(k**(1\/4)\/k)\/(((k\/(k**(-3\/5)\/k))\/k)\/k) assuming k is positive.\nAnswer: k**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 0.5 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4 + 304. Let h be ((-4)\/(-8))\/(2\/x). Let v = 12 - -18. Calculate the greatest common factor of v and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2504440 divided by -635.\nAnswer: -3944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*u - 673*u = 5*s - 3 + 13, -s + 6*u + 3 = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4589236 divided by 4\nAnswer: 1147309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62c + -12?\nAnswer: 61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**6\/360 + v**5\/20 + 5*v**4\/12 - 4*v. Let q(y) be the third derivative of z(y). Calculate q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4)*1*3\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 - 21*w**2\/5.\nAnswer: -w**2*(w + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10388 + 10584. Calculate the least common multiple of o and 189.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-166)\/8 - (-1324 + 1303))*(-584)\/(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + -6)) + -12 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c + 2. Let z(p) = -5*p + 12. Let i(k) = -16*k + 40. Let h(t) = 3*i(t) - 10*z(t). Suppose 3*d = -2*d - 5. Let v(a) = d*g(a) - 5*h(a). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.1 and 0.06.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210.5 - -210. Put 5, 101, 0.1, y in increasing order.\nAnswer: y, 0.1, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 144581, 144475, 144181, 143603, 142645, 141211?\n\"Answer: -16*l**3 + 2*l**2 + 144595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuufufuuu. What is prob of picking 2 f and 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2764 divided by -31533.\nAnswer: -2764\/31533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.1 + 140.9. Let q = h - 150. Let z = 0.42 - 0.5. Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.033, 22\/25, -2\/13, -0.08 in decreasing order.\nAnswer: 22\/25, 0.033, -0.08, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 62797*a**2*t**3 - 10*a*t**2 + 45*a - 2*t**3 + 36 wrt a.\nAnswer: -20*a**3 - 125594*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(72)*-2 + sqrt(72) + sqrt(72)*-2*6)*1)**2*1.\nAnswer: -1872*sqrt(2) + 48708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19277, -76995, -173153, -307751?\n\"Answer: -19220*i**2 - 58*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.100095258 to five decimal places.\nAnswer: -0.1001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -176332 in ascending order.\nAnswer: -176332, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27283987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/8 + 35*f**2\/4 - 707*f\/8 + 319\/4 = 0 for f.\nAnswer: 1, 11, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*w - 238115*a - 3654*w wrt w.\nAnswer: 4*a - 3654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 36 = -4*u. Suppose 4*r - 2*l = -5*l - 6, 0 = r + 2*l + u. Let c be 314 - (-1 + 5 + r). Round c to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5380 (b) 3 (c) -54 (d) 0.4 (e) -4 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5863, 11730, 17597, 23464?\n\"Answer: 5867*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18.158058 months?\nAnswer: 0.015131715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q + 1334 = -65*q for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 13 = -3*g + 2*p, -2*p = 3*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(208) + sqrt(208) + (sqrt(208) - (2*sqrt(208)*-3 + sqrt(208)))))**2.\nAnswer: 212992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let m(n) = n - 35. Let g be m(21). Let x be g\/(-301)*1\/4*-6. Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 + 3. Let x be d(4). Suppose c = 5*z - x*c - 9, 4*z - 4*c = 8. Is z smaller than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123250 to the nearest 1000.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 + (-104)\/(-6). Suppose -d - 1 = -i. What is the remainder when 66 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27\/17 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0.4 (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50402254*w**6 + 29923926*w**2.\nAnswer: 6048270480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)\/(3*sqrt(10)*-6) + ((sqrt(968) - (sqrt(968) + -5 + 2)) + sqrt(968))**2.\nAnswer: 2371*sqrt(2)\/18 + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2\/7*o**4 + 0 - 6\/7*o**2 + 0*o + 2\/7*o**5 - 10\/7*o**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 1487 - 1499. Suppose 9*p = 2*p + 70. Let h be ((-22)\/p - -3)\/((-2)\/(-10)). Solve 0 = 5*o - 5*r + 10, h*r = s*o + 6*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 50 = 24. Let v(k) = 70*k**3 + 5*k**2 - 3. Let a(c) = -35*c**3 - 2*c**2 + 1. Give f*v(o) - 5*a(o).\nAnswer: 35*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19739955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -20, 1\/7 in increasing order.\nAnswer: -20, -3\/8, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/30 + 178*i**4\/3 - 14*i**3 - 3*i**2\/2 - 35*i + 2. Find the second derivative of c(h) wrt h.\nAnswer: 12*h**2 + 1424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61559 + 103860. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/1797 - -73661\/14376. Suppose 3*v - 2*l - 29 = -178, 4*l = v + 43. Let j = -85 - v. What is the common denominator of x and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(468) - (sqrt(468) + sqrt(468)*2 + 5 + sqrt(468)) - sqrt(468)) + 1*sqrt(468)*4))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {d: 2, j: 4, c: 4, x: 1, v: 1, z: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 7, b: 1, x: 2}. What is prob of picking 1 x and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*y + 136*y + 7331 = 192*y - 9364 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2642*f + 7920. Let q be c(-3). Let g be 16\/2 + 0\/(-1). Let m(i) = 8 - g - 9*i + 3*i. Let d(r) = 5*r. Determine q*d(j) - 4*m(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82849247*5.\nAnswer: 414246235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 103254102 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101020313032 (base 4) to base 9\nAnswer: -8406804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-34))\/(((-16)\/(-4760)*-5)\/(5\/(-105)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*v + 19, 4*v - 4*n = -7*n + 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -65. Calculate the remainder when 36 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -2)**2 + sqrt(637) + -3)*-5 + -2 + sqrt(637) + (sqrt(637) - (2 + sqrt(637))*4).\nAnswer: -3200 + 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 - 23594*j - 3010344 = 0. What is j?\nAnswer: -11668, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.218269 millilitres?\nAnswer: 0.005218269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h + 23*h = 10*h + 36720. Calculate the remainder when h is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*z - 425 - 25. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 48444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -63*k + 12251. Determine m(189).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 74 = 4. Calculate the remainder when ((-52)\/14)\/(8\/(-14))*4 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 + 2*k + 2. Let z be (-3)\/(-9) - 14\/6. Let f be x(z). Let t = 18\/5 + -4. Which is the nearest to t? (a) f (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.485 and 152837.157?\nAnswer: 152829.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 3. Let j be w(-5). Solve -j*m + 4 = -9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33524.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15.652293 months?\nAnswer: 0.130435775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620498*g**2\/9 + 25265520*g - 2314720800 = 0. What is g?\nAnswer: 102060\/557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-30))\/((-7)\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/156 and -15\/32.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1209 by 20.\nAnswer: 1209\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 33. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123030 (base 5) in base 4?\nAnswer: -1022131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22114 is divided by 462.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1030100421 - 10?\nAnswer: 1030100411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 1 in decreasing order.\nAnswer: 10, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231149 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 4 = -2*z + 8*n, 5 = 3*z + 4*n. Solve 25 = -5*b - 3*i, -5 - 26 = z*b + 5*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3 (c) 1\/6 (d) -0.5 (e) -0.3 (f) 0.16 (g) 888\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481028?\nAnswer: 2, 53, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmjzmpl. What is prob of sequence jz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185, -716, -1597, -2828, -4409?\n\"Answer: -175*l**2 - 6*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = 8*d - 4*r, r + 8 = -2*d. Let m = -28 + 50. Let p = m + -18. What is the nearest to 2\/7 in d, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 101, 233, 419?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100694981.\nAnswer: 223, 451547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 117*z**2\/2 + 121518. Let d(q) = q - 6. Let r(y) = -1. Let g(c) = -d(c) + 6*r(c). Give h(g(a)).\nAnswer: -117*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43836)\/47208*(-1084)\/(-26) - 1\/(-14)*-4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 1, l: 2, g: 2, r: 6}. Give prob of picking 1 i and 1 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -11447.\nAnswer: -11447, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 - 79 + 3694*f + 2598*f)*(1 - 1 - 2*f**2 - f**3) to the form p*f + t*f**3 + h*f**4 + d*f**2 + o and give t.\nAnswer: -12584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 95 = -23. Let t = 14 - 10. What is the derivative of -t*s + m*s + 1 - 6 + 6*s**2 wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-441)\/(-245)*110\/242?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = 0, 4*c + 17 = 4*x + c. Solve 3*w + f - 3*f = -x, 4*w + 8 = 3*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/13)\/(8\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -730\/484227 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeeeeqehqweqe. What is prob of picking 1 h, 1 e, and 2 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 2*i - 9675 = 0. Suppose 5*h + 263 = 12*m - 11*m, -4*m - 3*h = -i. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*69630\nAnswer: -69630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-376)\/(-24) + -15 + -4 + (-88)\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sct. Give prob of sequence tc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 405961, 405214, 404467, 403720?\n\"Answer: -747*x + 406708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*r**3*u*y**3 + 4*r**3*u*y + 37*r**3*u - 2*r**2 + 2*r*u - 9*u*y - 6902*y**3 wrt y.\nAnswer: 120*r**3*u*y - 41412*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 5*m**3 - 2*m**3)*(2*m + m - 2*m) + (0*m**4 + 0*m**4 + 4*m**4)*(-1 - 1 - 1).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1641, 3267, 4891, 6513, 8133, 9751?\n\"Answer: -r**2 + 1629*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:34 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -3.569344.\nAnswer: -22.569344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3*i**6\/10 - 66*i**5\/25 + 3*i**4\/10 + 72*i**3\/5 + 39*i**2\/2 + 42*i\/5 + 263. Determine d so that k(d) = 0.\nAnswer: -7, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:06 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13002 - -2121?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 = 2*j, 0*u + 3*j = -2*u - 5. Suppose 5*a - 80 = o + 4*o, -u*o - 56 = a. Let d = 2 - o. What is the remainder when 26 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1470290*c - 77925364. Determine s(-53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9694768l?\nAnswer: 969.4768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 44 = -4*s. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:54 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2\/(2\/(-3)). Let k be 2 - (-2)\/(2 + h). Let z = -0.1 + 0. What is the nearest to k in z, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k**3 + 33*k**3 - 21933*k**2 + 21933*k**2 + 1.\nAnswer: -24*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 3*t**3 - 2*t**3)*((-3*t**2 - 17944*t + 2*t**2 + 17957*t)*(0 - 3 - 3) + (4*t - 4*t + t**2)*(2 - 1 + 0)).\nAnswer: -21*t**5 + 234*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 24016?\nAnswer: -24031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5913?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36947574 to the nearest integer?\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 123. Let q(s) = -s**2 - 11*s - 20. Let f be q(r). Calculate the highest common divisor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 395.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 297609.4 rounded to the nearest one thousand?\nAnswer: 298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 1664006904*j - 173057436034979076.\nAnswer: -4*(j + 208000863)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*i + 0*i = 18, -2*b + 10 = 2*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98274210 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: Factor 2*c**3 + 26*c**2 + 60*c.\nAnswer: 2*c*(c + 3)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + (136 + -116 - 57)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 2743534\nAnswer: 13717670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3283b4 (base 14) in base 11?\nAnswer: -a70005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, y: 2, a: 8, h: 2, f: 5}. Give prob of sequence ii.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3415239 and 4743.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 79*y - y**3 + 79*y.\nAnswer: -y**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - -1) + 12 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 119. Let g = -45 - y. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 30906.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 277995489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, -0.5, -8 in decreasing order.\nAnswer: 2, 2\/5, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339604 is divided by 669788?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13789534273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3875*h**3 - 7730*h**2 + 3835*h + 20 = 0. Calculate h.\nAnswer: -4\/775, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -108. Let b = o - -54. Solve -2*u - x = -6, b = u - x + 3*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 24*k = 22*k - 454, 0 = -5*z - 5*k + 765. What is the remainder when 596 is divided by z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 25. Let u be (-3)\/j + (-5)\/(-3). Suppose m = 3*m - 5*s - 240, -3*s + 224 = u*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5428\/74087 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, -12, -7, -3 in decreasing order.\nAnswer: 19, -1, -3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 5. Let y(v) = v - 1. Suppose 4*d - i - 15 = 0, 0 = -2*d + 2*i + 15 - 9. Determine d*y(m) - k(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1560.95 + -1616. Round p to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*d + 2*m - 31, 0 = 4*d + m - 40. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191\/195 less than or equal to 435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159965711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -187*i - 182. Determine z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1001405, 1001403, 1001399, 1001393, 1001385?\nAnswer: 1001375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t**3 - 1973*t**3 + 1428*t**3.\nAnswer: -522*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from aduaade?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 88 = 4*a + 5*v, 110 = 5*a + v. Let r = a - 31. Let m be 2*6\/(-4) - r. What is the highest common divisor of 48 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-112)\/12)\/(-4)*18. Suppose -13*a = 36 + o. Let s be 31\/6 - (-1)\/a. Solve r - 4*p + 16 = 0, -s*r + p - 14 - 9 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:09 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 79. Let s be u(-9). What is the highest common divisor of 209 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332563238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - 94 - -279 - 127?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 90 = -0*w - o, 5*o = 2*w - 60. Suppose 5*m - 25 - w = 0. What is the remainder when m is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5120*n - 5115*n + 43 = -6*f, -139 = 2*n + 43*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5772755 and 1087.3763?\nAnswer: 5773842.3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*5.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4122, -8298, -12458, -16596, -20706, -24782, -28818, -32808?\nAnswer: -36746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**3*n*n)**(6\/5)\/((n\/(n*n\/n**(-3\/2)*n))\/n**(-1\/17)) assuming n is positive.\nAnswer: n**(993\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3787*v + 2053. What is the remainder when t(1) is divided by 5835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1024 + -2?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 12 + (17 - 25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyu when three letters picked without replacement from {r: 3, y: 6, z: 1, f: 3, u: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30645 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544 (base 6) to base 10.\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/(((-45)\/(-110))\/9). Let d be (44\/(-10))\/(3\/(-120)). Calculate the greatest common divisor of u and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d + 47. Let a(o) = -12*o - 48. Let z(m) = -4*a(m) - 5*k(m). What is the remainder when z(-8) is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -12, -3, -2, -0.04?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*t + 20, 71*a + 2*t = 70*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068684 rounded to 6 decimal places?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r + 13. Let a be x(-1). Let p be -2*((-15)\/2 + a). Solve 2*y - m = -8, -p*y + 2*y = -2*m + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + q - 28. Let i(f) = -f**3 + 22*f**2 - 110*f - 28. Let h be i(14). What is r(h)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273924 and 153342?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242280 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045302 divided by 522651?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 1\/3 (c) -213\/14 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 32*q - 5 = 0. Let x be -1 - (-31)\/5 - 20\/100. Sort x, q, 21, 0 in decreasing order.\nAnswer: 21, x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, 0, -146, -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - y - 28 = 0. Suppose -4*i - l + 5847 = -0*i, y*i - 3*l - 5867 = 0. Suppose -i + 398 = -3*r. Round r to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e825f - 4?\nAnswer: -3e8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 15. Suppose 4*r - 12 - o = -2*p, p = 5*r - 42. Do -2\/7 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*q + 6, -4*l - 3*q + q = -4. Solve l = -0*i + 5*i - 5, -3 = 5*u + 2*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 0, 1, -2, -0.2, -5 in descending order.\nAnswer: 62, 1, 0, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3997*g + 2. Let d be i(-2). Let z = 14909 + d. Suppose 0 = 2*s + 1827 - z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-45)\/(-27)). Let z(s) be the first derivative of 0*s - 1 + 1\/15*s**3 - q*s**2. Suppose z(p) = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5 + -1 + 0 + sqrt(1053) + -3 + 3*(0 + sqrt(1053) + 2))*6)**2.\nAnswer: -7776*sqrt(13) + 606849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3110 + 3110 + 28*y. Suppose -9 = -4*k - u - 0*u, -2*u = 2*k - 6. Does 14 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5451*j**2*t**2 + 2*j**2*t + 2682*j**2 + j*t + 99*j + 1192*t**2 + t - 218 wrt j.\nAnswer: 10902*t**2 + 4*t + 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927 is divided by 194.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -15, -0.079, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1852*o - 5721. Let k(s) = -1846*s + 5723. Let v(b) = 5*h(b) + 4*k(b). Differentiate v(z) with respect to z.\nAnswer: 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 35099398?\nAnswer: -1\/17549699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 139*a = -39*a + 2220 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/((143\/(-6))\/(-11))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.8. Let z = -48 - -46. Let x = -169 - -168.9. What is the closest to w in x, 1\/7, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 2560*b**2.\nAnswer: -2*b**2*(b + 1280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 30 - (-97 - (-156 + -35)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -8. Suppose 4*l - 320 = -l. Calculate the greatest common factor of o and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248962509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3 - 2413*m - 2 + 2411*m. Let f(o) = -8*o - 21. What is -2*f(v) + 9*x(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 44*l**2 + 16*l + 33. Give k(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 15*h**2 - 15*h + 21. Give t(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3*g**2 + 3*g + 1. Let s be w(-2). Let a = s + 0. Let q be (-1 - 9)\/(a\/(-7)). What is q rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 10*s - 8. Let d be w(-9). Suppose 3*f - 4 = 8. Suppose 5*a - 15 = 2*t, -3*t + 2*a + f + d = 0. Sort t, 4, 2 in decreasing order.\nAnswer: t, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.87 + 0.13. Let w = -9 + u. Let m = 7.99999964 - w. Round m to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2 + 3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -16216.7?\nAnswer: -16216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278 - -2280 - (2 + (-1 + 5 - 6) + -37).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 30334784.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**3\/3 - 5*w**2 + 9*w - 5. Suppose 5*t - 29 + 2 = 3*p, 3*p + 4*t = -27. What is the units digit of v(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7936*t - 8024*t + 1182 = -4890 for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5068362 is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*v**4 + 174*v**2*x - 16300*v*x - x wrt v.\nAnswer: 1788*v**2 + 348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**2 + 4. Suppose 4*q + b = 69, -81 = q - 6*q + 4*b. Let h(n) = 18 - q*n**2 + 19*n**2 - 18. Give v(h(j)).\nAnswer: 64*j**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19529 - 35595 - 43144 = -2510*s + 6050 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4\/83, 0.04, 1\/24, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -112, -215, -356, -547?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 11:44 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1420 - 945. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from lxmsssmsxxsszsxsz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-22) - 7\/(-2). Suppose 4*s + 4*l = -0*l + 32, s + 17 = g*l. Suppose 4*o + s = 5*o. Solve -5*p = -o - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 108*a**5\/5 - a**3 + 1257*a + 479. What is the first derivative of c(h) wrt h?\nAnswer: 432*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -4. Let b = h + -8.9977. Round b to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -7\/15, 0.1, 2, 56132?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-1064)\/(-70))\/19)\/(2\/165). What is the highest common divisor of 1408 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22080 and 42540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71473513*k**2 - 13421804?\nAnswer: 142947026*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Let w = 507.2 + -459. Let t = 47.9 - w. What is the nearest to g in 2\/11, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let o be 13\/d - (-1)\/(-4). Solve -1 = 4*s + o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 10. What is the units digit of (-1)\/b*(-78)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 + n + 0*n + 1523*n**2 - 3278*n**2 + 1754*n**2. Let k be ((-4)\/(-6))\/(3\/9). Give g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548)*2 - sqrt(2548)) + -1.\nAnswer: -1 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*o + 29*o = 37*o - 2940 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 3\/50*n**5 - 73*n - 11\/15*n**4 - 2*n**2 + 37\/15*n**3 + 0. Suppose v(r) = 0. Calculate r.\nAnswer: 1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.51 - 650.51. Let z = 634 + r. Let i = 9 + -5. What is the closest to -1 in i, z, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*w - 12, 4*j = 4*w + 6 + 6. Suppose j = -2*y - 5*t + 20, -y + t - 5*t + 13 = 0. What is the hundreds digit of y\/(15\/(-4))*(-83 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 1240837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -4024.001.\nAnswer: -8048.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 412 = -111. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3372246 and 161\/198.\nAnswer: 37094706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 - 17 = 0. Suppose 6*l - 3*l = 0. Suppose l = -5*s, 3*m - 12 = -s + 33. Calculate the highest common factor of w and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 - 157*a - 473. What is h(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 398 and -5.369.\nAnswer: -2136.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in 1\/7, 13, 3\/7, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-324)\/18)\/(3\/(-2)). Find the second derivative of 0*f - 31*f**2 + 4*f**2 + 31*f - z*f**2 wrt f.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(-2\/5)*(u*u**(-1))**(-1\/33)*(u**(-2)\/u*u\/((u\/u**(-3))\/u))\/(u**(-1))**(-1\/26) assuming u is positive.\nAnswer: u**(-1861\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsoiorf. Give prob of picking 1 r and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9881021389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjmxjke. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-33))\/(444\/(-6105))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:25 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.116 + -87.884. Let v = -88.00195 - p. What is v rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-122)*-24*(-4)\/36 and 19\/122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.795458 rounded to one decimal place?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1817 + -1673. What is the smallest common multiple of 176 and b?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*d - 221 - 289 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 24. Let k be h(6). Let j be k\/10 + (-5)\/(-100)*4. Find a, given that -2\/11*a**3 + 0 - 2\/11*a**j + 2\/11*a + 2\/11*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 18*i + 48 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2099*m**4 - m**3 - 3*m**2 + 3*m**2 + 11 - m + 2111*m**4 in the form c*m + s + k*m**4 + r*m**3 + b*m**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/14 and ((-73)\/10)\/((-3)\/(75\/20)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 9. Let l be c(-3). Suppose -6*p - 516 = -l*p. Suppose -5*b + 80 + p = n, 4*n + b = 569. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1656 and 4068?\nAnswer: 187128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j**2 + 76*j + 41. Is h(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from khahkkkokakhhakaha?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 divided by 3?\nAnswer: 569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 5, 161 in descending order.\nAnswer: 161, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-2)\/8). Suppose 0 = 68*n - 69*n + 60. Suppose -3*m + n = v*m. What is the highest common divisor of 120 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 77. Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 14) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145 divided by 55?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 22. Give g(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let c be 3 + (8\/n - -3). Solve -c*l = -6*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2) + (-9)\/7. Which is the closest to i? (a) 0.2 (b) 3\/5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -308*k + 3396. Determine j(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.751454 years?\nAnswer: 93.017448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/10)\/f**(14\/5))\/((f\/f**(-18))\/(f**(-1\/2)*f)))**(-29) assuming f is positive.\nAnswer: f**(3132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21591, -43208, -64837, -86478?\n\"Answer: -6*c**2 - 21599*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166*l**3*u + 2*l**3*z + 41855*l**2 - 5*l*u*z - 241*u*z + 16 with respect to u.\nAnswer: -166*l**3 - 5*l*z - 241*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*y - 2, -9 = -3*b + 6*b - 5*y. Let k(s) = -b*s**3 + s**3 + s**3 + s**3 - 2 + 3*s**2. Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 9*v\/4.\nAnswer: -v*(v + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.54 - -0.54. Let g = c + 16.4. Round g to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {y: 2, h: 2, w: 6, z: 3, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 57*j - 65*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/26 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 75 (b) 0.2 (c) -0.5 (d) 1\/8 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 61*l - 281. What is r(-24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdddqddddddq. Give prob of sequence qqdq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6784 and ((-1806)\/126)\/(742\/3).\nAnswer: 47488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -41. Suppose f = -k, 4*f - f + 5*k = -8. Calculate the least common multiple of o and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1245 and 1665?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + -25 + 38 + -8 + (-1 - 62)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18667454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*v = 945 + 283 + 303 + 31 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -129*c**3\/2 - 23225*c**2\/2 + 814572*c + 31590 = 0. Calculate c.\nAnswer: -234, -5\/129, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*o - 3. Let r be (-605)\/(-33) + (-2)\/(-3) - 4. Let v(l) = 5 - 1 + 6*l + 1 - r + 9. What is v(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 2*k**3 + k**3)*(9 - k - 9 - 2*k + 2*k + 2*k - 2*k + 0*k + 4*k + (k - 2 + 2)*(-4 + 2 + 3)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:46 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/12 + (-27)\/324?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2650613 + 5?\nAnswer: -2650607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 u when four letters picked without replacement from susssussssssssssss?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -0.31, 24, 2\/11, -4\/5 in increasing order.\nAnswer: -4\/5, -6\/11, -0.31, 2\/11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7734816493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463684 is divided by 1115917.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3177 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v. Suppose h = -0*q + 3*q + 27, -4*h - 4*q + 156 = v. Suppose 4*y - h = y. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 2)*(-3*x + 0*x + 5*x) + 211 - 211 - 21*x)*(4*x + x - 3*x).\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104321404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.01686s in hours?\nAnswer: 0.06667135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + d**2 - 3*d + 2. Let t(g) be the third derivative of -g**4\/24 - 4*g**3\/3 - 18*g**2. Let r be t(-9). List the prime factors of c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 74*y**2 - y + 1. Let p be n(-1). Suppose -2*w = 2*z - 150, -z + 2*w + 81 = -3*w. What is the greatest common divisor of p and z?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27654, 56925, 86198, 115473, 144750, 174029?\nAnswer: 203310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27988607.\nAnswer: 149, 187843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 14. Let l(i) = 3*i + 41. Let f(h) = -8*a(h) - 3*l(h). Give f(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210 (base 4) to base 5\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 23744.\nAnswer: -1\/11872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 - 27*i + 1. Let h(l) = -13*l**2 - 55*l - 2. Let b(w) = 4*h(w) - 7*n(w). Give b(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 27, 29, 29, 27, 23?\n\"Answer: -q**2 + 7*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 - 7 = -d, 4*a - d - 16 = 0. Solve -a*x + 3*y = 4, -5*x - 3 - 2 = 4*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utdweddudtmwtmm. What is prob of sequence um?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 6*g = -20. Let w be (-10 - -12) + g\/(-2). Suppose w*d = d. Which is the second biggest value? (a) 3\/2 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - n - 7*n to the form h + k*n and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-7) + (-423)\/(-21). Let d = 17 - 9. What are the prime factors of (-58)\/(-5)*j\/d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9051 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4776 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1858 + -1854. Suppose -10 = 4*t - 9*t. Solve -t*v - p = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/7)*(m\/(m\/(m\/m**(3\/7))))\/m)\/(m\/(m\/m**(-1)*m*m*m))**(-18))\/((m*(m*m\/m**1)\/m*m*m**(-4\/7)\/m*m)\/(m**(-2\/3))**(-5\/7)) assuming m is positive.\nAnswer: m**(-1553\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 43 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11)*-2) + sqrt(99)\/(sqrt(9)*1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -248231, -248235, -248239, -248243, -248247, -248251?\n\"Answer: -4*z - 248227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 666 + -655. Suppose s - 27 = -4*d. Solve -d*x + 4*z = -9*x + 5, -5*z = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 8*o**2 - 14*o - 92. Let r be g(-8). Solve 4*u - r = -32 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -392, -889, -1386, -1883, -2380, -2877?\n\"Answer: -497*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 3) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 + -663\/5. What is the nearest to -0.3 in s, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i**2 + 91*i + 2. Determine q(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 48 = -30*d. Solve 3*m + 5 = d*m - 4*i, -10 = 2*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-3) + 2 + 9. Suppose h = 12 + g. Suppose 3*w = -2*w + h. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -21, 5.2, 2\/9, -0.4 in decreasing order.\nAnswer: 5.2, 2\/9, -0.2, -0.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656543 (base 7) in base 2?\nAnswer: 1010101100100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1697540, -3395076, -5092612, -6790148, -8487684?\nAnswer: -10185220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-14))\/(s\/s**(-15))*(s**(-1\/2)*s)**(1\/24) assuming s is positive.\nAnswer: s**(1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i - 3*p - 25 = 0, 3*p = -i - 20. Suppose 2*a - 3 = 7*a - 3*y, 3 = 3*a + 3*y. Sort i, 4, a, 2 in decreasing order.\nAnswer: 4, 2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 3*h**4\/10 - 34*h**3\/15 + 22*h**2\/5 - 16*h\/5 - 3. Let w(q) = 0. What is q?\nAnswer: 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 2*m + 8*m + 5*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -951 = -4758\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17867 (base 12) in base 6?\nAnswer: -421411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258.1 + 258. Let g = -200.9 + 202. What is the closest to g in -5, 2, m, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -334042?\nAnswer: -334031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2488 take away 63?\nAnswer: -62.7512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrprprprzrpz. Give prob of picking 2 r and 1 p.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-31280)\/(-68))\/23)\/(15\/18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + -284.6. Is c less than or equal to 11\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282534333 is divided by 1896.\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.47 - 123.47. Let p = 115 - h. Let n = p + -234.29. What is n rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(150)*-3)\/(sqrt(8)*5).\nAnswer: -5 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.550772022 - 1403.33?\nAnswer: -1401.779227978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2015 = -5*p - 5*l, p - 283 = 5*l + 102. Calculate the remainder when p is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0529 to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s - 1. Let o(v) = 4*v**2 - 5*v - 5. Let a(x) = 6*i(x) - o(x). Let d be a(-1). Suppose -84 = -2*q - d*q. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t - 34. Let b(u) = -u + 3. Let y(w) = 68*b(w) + 6*o(w). Let z(j) = 2*j. Determine z(y(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 + (-518)\/185. Put 1, -1, s, -4 in increasing order.\nAnswer: -4, s, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 take away 12.5535481?\nAnswer: -352.5535481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 = -2062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**2 + 4*x**2 + 906 + 8*x**2 + 10*x**2 + 4*x**2.\nAnswer: 2*x**2 + 906","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/30 + 4*g**3\/45 + 11. Factor o(q).\nAnswer: -2*q**2*(q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + (sqrt(117)*-1)**2 + sqrt(117) + (sqrt(208) + -1 - sqrt(13)) - (5*1*sqrt(78) - sqrt(78))\/sqrt(6).\nAnswer: 5*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 56 = 2*s - 6*s, 3*s + u = 42. Let n be 10\/(-2)*s\/(-95). Do 2 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + 6*x**2 + 5*x - 5. Let t(n) = 6*n**3 - 5*n**2 - 6*n + 5. Let p(b) = -6*t(b) - 7*u(b). Suppose -1060*h = -1066*h - 72. Determine p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 5*c**2 - 7*c - 10. Let z be k(-4). Let g(s) = 3*s + 21*s**2 - 12*s**2 + z*s + 3 + 0*s. Is g(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-270)*(-12)\/(-104)*-4\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 3, 10, 29, 66, 127?\n\"Answer: w**3 - 3*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c - 6696475 = 10031525. Round c to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38223787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18545, -31022, -43499, -55976, -68453, -80930?\n\"Answer: -12477*k - 6068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 96 = 4*q, 0 = 4*c - 7*q + 6*q - 185. Let r(n) = 3*n**2 - 6*n - 3. Let l be r(-4). What is the highest common factor of c and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*n + 172, 5*q + 55 = 5*n + 335. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*g**5\/4 + 22425*g**4\/4 - 153273*g**3\/2 + 996421*g**2\/2 - 6203901*g\/4 + 7454205\/4 = 0. Calculate g.\nAnswer: 111\/25, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -130747, -263861, -396975, -530089, -663203, -796317?\n\"Answer: -133114*f + 2367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 438070081 a multiple of 4241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1 (c) -54.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 7:51 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -26. Suppose 5*q - o - 55 = 0. Calculate the remainder when 52 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 66. Let b be 104\/208*(1 - (-30)\/2). Solve -p*v = -4*v + b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 - 349. Let j = 36 - 14. What is the remainder when j is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (9 + -6 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6118*b + 6118*b + 7*b**2 - 2*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h\/(h**10\/h)*h)))**23\/(h**(-4\/7)\/h)**(-25) assuming h is positive.\nAnswer: h**(-1563\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*o**4 + 15*o - o**5 - 124*o**4 + 93*o**4 - 2 wrt o.\nAnswer: -20*o**3 - 1272*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -67*y**8\/168 - 187*y**4\/24 - 4*y**2 + 34. What is the second derivative of d(m) wrt m?\nAnswer: -2680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -11*j**5\/20 - j**3 - 3*j. What is the second derivative of v(y) wrt y?\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((1 + -7 - (25 + -31)) + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 1481, 0.86, 0.3, 2, 47?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(2\/(-4) + (-2 - -3)). Suppose -n + 42 = 5*a, -y*a - 5 = -17. What is the greatest common divisor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h*j**2 + 4604*h*j + 2*h + 2*j**5 - 43*j**2 - 2*j wrt j.\nAnswer: -20*h + 40*j**3 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 81*t - 79*t - 3522, r - 888 = -3*t. Let b = r - 636. What is the remainder when b is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349379\/2 + -174722. What is the common denominator of w and 1 - (-2 - 314\/(-64))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 297*l**2 + 328*l wrt l?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*y - 24 = 0, 35073*a - 35068*a + 0*y - 21 = 4*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(180) - 1*sqrt(10)\/sqrt(2).\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -6*k + k, 16 = 3*j + 5*k. Suppose 3*s = -4*b + 2*s + 3, -23 = b + 5*s. What is the derivative of 2*v**j - b + 9 - 6*v**2 - 2 wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 0) + -14 + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*598\/46?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7386179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3782627400 to the nearest one million.\nAnswer: -3783000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7857 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001 + -10011000?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:39 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 - (4240\/(-450) + -2). Which is smaller: 10 or q?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/3 + (-2 + -1 - 595\/(-255)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -27*d + 39 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5\/10 + r**4\/6 - 25*r**3\/3 - 25*r**2 + 96*r - 15. Let c(k) be the first derivative of y(k). Factor c(h).\nAnswer: 2*(h - 5)*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.22704 milligrams?\nAnswer: 0.00722704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1819899257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 4. Calculate c(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -6, -0.2, -4, 1\/4, 28?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 23 = 3. Let t = -3 - l. Which is the nearest to -2? (a) -0.2 (b) t (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(704) + -3 + (2*sqrt(704) - sqrt(704)) + sqrt(704) + 3) + 5)**2.\nAnswer: 480*sqrt(11) + 25369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 8*a**2 + 5*a + 17. What is p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - -15. Suppose 54*b - 50*b - 48 = 0. What is the remainder when r is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-70))\/((-93795)\/12025)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10781 and 79.79?\nAnswer: 8.6021599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/54*6)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -678*g**4 - 2*g**3 + 1383*g + 434079746.\nAnswer: -2712*g**3 - 6*g**2 + 1383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*c + 8 = 0, -6 = -2*r - 2*r + 2*c. Sort 0, r, 2, -2 in increasing order.\nAnswer: -2, 0, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:02 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61552 and 176.\nAnswer: 677072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 646692667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 5345390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990294*q**2 + 990288*q**2 + q - q - 3961170*q**2 + 990291*q**2 + 990293*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 24 - 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j**2 + 54*j**2 + 16*j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/61804432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 j when three letters picked without replacement from {g: 3, j: 1, c: 1, l: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/569 and ((-4)\/(-13))\/((-54)\/(-612)) + (-6)\/39.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89*n*v**3 - n*v**2 - 2*n*v - 581816*n - 353674737*v**3 wrt n?\nAnswer: 89*v**3 - v**2 - 2*v - 581816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*d - 2*r, 3*r + 18 - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/4 + 8*m**3\/3 + m**2\/2 - 11*m - 2. Let k be x(8). Let u = -2 - k. Sort u, -1, -2 in ascending order.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77 + 5?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -807 + 1241. Suppose 5*i = 3*u + 730, 4*i - n = 5*u + 150. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*g**4 + 76*g**3 + 3*g**2 + 2*g + 3080925.\nAnswer: -164*g**3 + 228*g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 14. Let q be d(14). Let x = q - -29. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x - 1270 = 82*x. Let o = x + 258. Let s(c) = -c**3 + 4*c**2 - c - 3. Determine s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3696, -419, 3 in descending order.\nAnswer: 3, -419, -3696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 4 (c) 2 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 - 3642*t**2\/7 + 21879*t\/7 - 32832\/7.\nAnswer: -(t - 3)**2*(t + 3648)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005058824 rounded to 7 dps?\nAnswer: 0.0005059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, v: 6, w: 5, m: 1}. Give prob of sequence wzmz.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 3*z. Suppose -48 = 4*h + 4*y, 2*h + 5*y + 28 = -h. Let t = -12 - h. Solve z*q + t = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -985*q**6\/6 - 1233*q**2 + 961*q. Differentiate k(j) with respect to j.\nAnswer: -19700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/303 - 2997\/202. Calculate the common denominator of -91\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 814.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 3*p**2 + 13*p**2)*(5 + 2 - 3) + 24*p - 24*p + 4*p**2 - 2.\nAnswer: 76*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166\/689 or -1?\nAnswer: 166\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (-2 - 1) + -2 - 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t + 8. Let i(f) be the first derivative of f**2\/2 + f - 326. Suppose p - 4*y = -p + 6, -2*p + y + 6 = 0. What is p*q(l) - 24*i(l)?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1)*x)\/x)**42*(x**5\/x)\/(x**(2\/13)\/x*x*x))**(1\/29) assuming x is positive.\nAnswer: x**(37\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10621, 42539, 95733, 170203?\nAnswer: 265949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 96, 146, 196, 246, 296?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11431036\/1155 + -9897. Let z(k) be the third derivative of -1\/55*k**5 - 1\/33*k**4 + 0*k + 0 - 8*k**2 - 1\/33*k**3 - f*k**7 - 1\/165*k**6. Factor z(l).\nAnswer: -2*(l + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/10 - -17\/5. Let k = -71 + 70.9704. Let u = 3.9704 - k. Which is the closest to 0.2? (a) 1\/5 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:25 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 168 = 19*m. Let x(i) = 20*i + 10. Let b(k) = -13*k - 7. Let w(j) = -7*b(j) - 5*x(j). What is the smallest common multiple of m and w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnpnpwssxxxsxww. What is prob of picking 2 x and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 2*j + 8, 2 = -2*z - 2*j. Let c(g) = 467*g**2 + 6*g + 15. Let u(m) = 156*m**2 + 2*m + 5. Let n(o) = 6*c(o) - 17*u(o). Is n(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Suppose -5 = -s*c - k + 1, 0 = -k - 3. Find the second derivative of 2*v - 5*v**2 + 25*v**c + 5*v**2 - 15*v wrt v.\nAnswer: 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 13*x + 17. Let w be d(10). Let b(o) = 2*o + 25. Let u be b(w). Sort 3, u, -6.\nAnswer: -6, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -1474790.9.\nAnswer: -1474793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240031.\nAnswer: 11, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6670618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-3 - (-14 - 2)). Let b be (-56)\/(-26) - 2\/o. Find the second derivative of q - 6*q + q - 4*q**b wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from lnnzwldwpznnlwldwnzn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-20 - (-25 + 7)) + -8 + -13\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/6*(11 + -8). Suppose -2*s + 5*g = -y*s + 325, 3*g = 5*s - 301. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7088654 greater than 7088699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1262.039 tonnes to micrograms.\nAnswer: 1262039000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 d when four letters picked without replacement from {l: 7, e: 6, d: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 + -4 - -2. Let d(t) = -t**2 + 9*t + 10. Let w be d(9). Let o be 5\/w*-1*0. Solve a + o*a = v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 304663892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -794*c + 4759. Let x be a(6). Let h be (12\/10)\/(6\/20). Put h, 0, x in descending order.\nAnswer: h, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - -20630?\nAnswer: 20610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9761688 is divided by 947.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 527 + 1778. What are the prime factors of t?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 11*a - 14. Let n be j(-9). Solve 0 = 2*d - 6*d + n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247231709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)\/(i**(2\/11)*i) assuming i is positive.\nAnswer: i**(-139\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191011 and 25874.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 20*q**2 + 18*q - 18. Let j be a(-19). Let w(n) be the first derivative of 0*n + j - 1\/2*n**2. Let k(i) = -i. Give k(w(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*i + 193 = 71*y - 280*i, -2*y + i = -11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24768*r**3 + 23*r - 23*r.\nAnswer: 24768*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -16 (b) -5 (c) 1 (d) 159\/5 (e) -0.5 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 - 1. Let f(w) = -3*w**3 - 2*w**2 - 2. Give -3*f(c) + 6*k(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:00 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - s + 10 = 0, 2 = -2*c + 5*s - 2. What is the units digit of (0 - c)\/((-2)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108882287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rku when three letters picked without replacement from ukr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8332*0.1.\nAnswer: 0.08332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose -18 = -3*t + 3*r, -r + 1 - 2 = w*t. Solve 3*k = -t - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + c - 7*c + 7 + 6*c**2. Suppose 0 = 4*k + 20, 3*o - 48 = -0*o + 3*k. Let d = -5 + o. Let l(z) = -7*z**2 + 6*z - 8. Determine d*n(q) + 5*l(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*h + 20 = -10, 0 = -2*x + 5*h - 20. Let u = 21 + x. What is the highest common factor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 2*l**2 - 15*l - 26. Let c = -188 + 181. Is t(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5876333 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 7, d: 2}. Give prob of picking 1 e and 1 s.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1205*h**3 - 24*h**2 + 14.\nAnswer: 7230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-7)\/((-28)\/3)). Let f(w) = -w**3 - 6*w**2 + w + 2. Let d be f(-6). Which is the closest to 0.1? (a) d (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 - 9*m + 16. Let z be 1\/(4 + (-54)\/14). Let i be k(z). Solve 3*a**i - 4*a + 2*a + 5*a = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 + 36*a**3 - 166*a**2 + 216*a - 88 = 0?\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -15*m + 11*m. Calculate the common denominator of 131\/12 and 3 - 1 - ((-3390)\/m)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) 41 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37759, -75391, -113025, -150661?\nAnswer: -188299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 8*m**2 - 2*m + 1. Let u(a) = -a**3 - a**2 - a + 1. Calculate -r(i) + 2*u(i).\nAnswer: 2*i**3 + 6*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 1. Let s = -410636 + 6980810\/17. What is the closest to d in -3, 5, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 16*h - 695. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -111\/2428?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.7 + 18. Let v = -3.2986 + d. Let s = v - -6. What is s rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 2622420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 4:41 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/3 - 80920*j**3\/3 + 2351850*j**2 + 15082060*j\/3 - 57738928\/3 = 0.\nAnswer: -40547, -4, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:36 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14 + x**2 + 0 - 3 - 4*x + 1. Let p be b(7). Solve p*k = 12 + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 2 - (-401 - -419)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from fdfzv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j - 100. Let w be (-115)\/j + (-2)\/(-5). Let d(q) = -58*q. Let i be d(w). Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 129. Let s(i) = 3*i. Determine s(o(z)).\nAnswer: 3*z + 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4348927811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -4\/7 (c) 1314\/7 (d) -1\/4 (e) 5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*l - 17. Let x be (-8)\/(-2) - (2 - 1). Let v(g) = -l - 2*g + 3 - g**x + g. Calculate v(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -0.006?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 7) to base 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w - 3*w + 0*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1020 + 1007)\/(1\/(-2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1784784 and 3516729.\nAnswer: 5871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/4 (b) 31 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 5*l + 3. Let w be g(-3). Suppose 0 = -v + i + 6, 2*i + 14 = 3*v - w. Let o = v - -9. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 505179669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 1, 711, -5, -3, -34 in decreasing order.\nAnswer: 711, 97, 1, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 3*w**3 + w**2\/2 + 8*w + 3. What is the tens digit of i(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7911 - 8001. Sort 2, 4, -2\/31, a in increasing order.\nAnswer: a, -2\/31, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 3*x**2 - 2. Let o = -1 + 4. Let u be j(o). Is (u + -1)*(-38)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4883.\nAnswer: 5\/4883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*r**3 - 8 - 7*r**2 + 483*r**3 + 34 - 27 - 67*r**3 to u*r**2 + f*r + h + d*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.14 - -2.1. Which is the third smallest value? (a) 0 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 3*k - 4 - 18, -34*k = 22*t - 18*t + 198 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geg when three letters picked without replacement from {e: 2, b: 7, g: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5508 and 9027.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*l - 1, 2 = 4*r + 5*l - 8. Let s = r + -2. What is the units digit of -4 + 390\/s + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58633682 + 1173001433\/20. Let a = 16394 - i. What is the common denominator of -51\/14 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*s**5 - 58*s**5 + 9*s - s wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -27722?\nAnswer: 27727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/7)*j**3\/j*(j*j*j*j\/(j*j*j**1))**23*(j*j*j**(5\/3)*j*j*(j**(1\/7)*j*j)\/j)\/(j**(-2\/9))**31 assuming j is positive.\nAnswer: j**(2474\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 1.5, -7, -2\/3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 10. Suppose 2*b = -3*b + 10. Let f = b + -2. Suppose 9*r - 4*r = f. Give k(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 208, 3, -5, 29 in descending order.\nAnswer: 208, 29, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -93854.52 times -7\nAnswer: 656981.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1175, 0.2, -0.2, 2\/21, 0.3, -9329?\nAnswer: -9329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*l + 5*v, -2*l + v = 3*l - 5. Suppose 4*k - 2*k - 158 = l. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:35 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3835*t**4 + 6*t**3 + 160258*t**2 wrt t.\nAnswer: -92040*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from {k: 4, x: 2, t: 2, e: 2, u: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(300) - sqrt(300)*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 75\/10 + (-75)\/50. Let j(b) = 38*b**2 - 6. Let c(r) = -38*r**2 + 5. Determine s*c(n) + 5*j(n).\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/12 - -8)*1*(-2 + -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.68683 hours to microseconds.\nAnswer: 27672588000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:35 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37493062 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 18*o + 12. Let t be m(9). Suppose -4*q = -5*y + 28, -3*y + 3*q + t = -q. What is the remainder when 269 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 1972?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/9 - 2\/(-3). Let x = -1 + 2. Suppose -a + z = -x. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -123*t**2 + 2589*t - 126 = 0.\nAnswer: 2\/41, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 22*w + 17. Is 22 a factor of a(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3031 = -4*f - 1543. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djfd when four letters picked without replacement from dzjdfdf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*t + 6, 2*d + 3 = -5*t + 5. Suppose k + 44 = 4*p, -t*p + 2*k = 7*k. Suppose -p*i + 1500 = 100. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1)*(-191)\/((-329857)\/(-1099)))\/(2\/(-4))?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 2, j: 3, b: 1, t: 3, z: 4}. What is prob of picking 2 t and 1 p?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -3\/5*a**5 + 0*a**4 + 7*a**3 + 3 + 0*a + 0*a**2. Find the third derivative of f(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 + 3724*p + 64746. Calculate z(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:46 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*x + 149101 = 0, -3*x = -7*r + 645752 - 123804. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*g + 4*a - 18 = 116*g, -4*g = 5*a - 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -2558.\nAnswer: -7\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(18)\/sqrt(144).\nAnswer: sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(70\/7))\/(((-8)\/(-20))\/(1104\/(-24)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -0.0798 (c) 2\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2568*h**2*i + 2*h**2 - 9*h*i + 158*i wrt h.\nAnswer: -5136*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 63. Solve -w - 2*g + 2 = g, -x*w - 4*g - 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(-3)*10. Let o = p - -1. Suppose -u = -o*i - 6, 0 = 3*u - i + 3*i - 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -3 - 13) + -36 - -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:57 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 10 - 88 = 0. Let a be 984\/40 - 6\/10. Let i = a - 18. What is the highest common factor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(4)\/sqrt(2))*5)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**3 + 105 + 105 - 205 + 8*w**2 - 3*w**2. Let q = 5 + -3. Let u(h) = 6*h**2 + q + 3 + 1 - 7*h**3. What is 6*p(i) - 5*u(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 1. Let n(y) = y. Suppose 0 = -5*i - 3*j - 0*j - 16, 0 = -5*i + 3*j - 4. Let o(k) = i*n(k) - q(k). Does 7 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667790 and 4816?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146660573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 20. Suppose -3*i - o + 274 = 0. Calculate the greatest common divisor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.76 + 75.04. Let u = 70 - l. Let q = 16.4 + u. Sort 1, -2\/3, -2, q.\nAnswer: -2, -2\/3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1118096 to 2 decimal places.\nAnswer: -3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 - 14. Suppose -4*r = r. Calculate s(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.47 + -1.53. Let c = n - -81.5. What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9373, 9123, 8905, 8725, 8589, 8503, 8473?\n\"Answer: c**3 + 10*c**2 - 287*c + 9649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbbddbmbmbdb. Give prob of picking 2 d and 1 m.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 2 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 61*d**2 - 59*d**3 + 59*d**3 + 3*d**3 - d**4 - 3*d**3 + d**4 - 1 + 1 + (d - d - 2*d**2)*(-2 + 2*d**2 + 2).\nAnswer: -5*d**4 + 61*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/14, -5, -0.06, -131?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 160740*y**3 - 2*y**2 + 2*y + 4. Let d = -123 - -120. Let p be h(d). What is p rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -396 - -646.1. Let d = f - 250.101423. Round d to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34144210 (base 8) to base 16\nAnswer: -70c888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*v + 132, 0 = 5*v - 23 + 8. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297123 is divided by 653.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let p = 206 - 90. Suppose -q - p = -y*q. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + s - 3. Calculate the remainder when i(-6) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110)\/(-25) + -4 - (-13)\/5. Find the common denominator of (-73)\/(-16) + (z\/(-6))\/(-1) and -99\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2701 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 7. Suppose 0 = -6*z + 16 + 26. Let c(o) = -4*o + 5. Let x(v) = z*c(v) + 5*g(v). Let k(r) = -15*r - 2 + 38*r + 2. Give x(k(n)).\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 202, 400, 598, 796, 994?\n\"Answer: 198*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682.938 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1269327l to millilitres.\nAnswer: 126.9327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -448*p**3 + 340*p**2 + 109*p - 1.\nAnswer: -(p - 1)*(4*p + 1)*(112*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241 + -147. Suppose 4*p + o = 154. Let q(a) = -8*a - 1. Let m be q(-1). Solve p = -m*b + 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 18. What is the common denominator of -16\/11 and 28\/48*p\/3?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2404 + -1461. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 3*p**2 - 2*p - 2. Let k be b(4). Let h(s) = -s**2 - 4*s**2 - 4*s + 6*s**2 - 8. Let q be h(k). Let x(l) = -l**3 + 5*l**2 - 5*l + 5. Give x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 11725.\nAnswer: -11724.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = z + 3, -32 = 5*i + 3*z. Which is the smallest value? (a) i (b) 0 (c) 22 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrllrrlrr. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 11:18 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 0 = -b*y - 0 + 2. What is the least common multiple of (3\/(-2))\/(y\/(-2)) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 12 = 11*u. Let i be -3*(-4 - 10\/u). Suppose -36 = -d - p - i*p, 64 = 4*d - 4*p. Solve -3*o + 4*q = -2*o - d, 5*o + 3*q = -10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 4*i**6\/165 + 2116*i**5\/55 + 2115*i**4\/44 + 793*i**3\/33 + i**2 - 409. Let y(f) = 0. What is f?\nAnswer: -793, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15422\/17355 - 80\/89. Let l be (1 - -1 - -1) + 280\/(-78). Let i = z + l. Which is the closest to -1? (a) i (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -4, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*x - 16*x + 2 in the form n*x + h and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228 + -230 - (-6 - -1) - 3) + 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 - 6 = 0. Let d = z - -1. Find the first derivative of 2*a**2 - 2*a**3 - 2 + a**d - 3*a**2 wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, y: 9}. What is prob of picking 4 y?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -115. Let b be (-3)\/15 - (-105)\/25. Let g(m) = 2*m - 4. Let u be g(b). Solve -u*k + 5*x - 5 = i, k + 25 = -k - 5*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from taggaaaaldgddgtmgt.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1311 and 274.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32290212.4 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r, 0 = d - 0*r + 2*r - 17. Suppose 0 = 2*g - 5*q - d - 8, 0 = 3*g + 3*q - 3. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/147491, 4\/1473, -3?\nAnswer: -1\/147491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 76386*f - 61498780\/3.\nAnswer: -2*(f + 269)*(f + 114310)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Let y(i) = -50*i**2 - 46*i**2 - 87*i**2 - 356*i + 168*i**2. Give y(c(p)).\nAnswer: -60*p**4 - 712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 437130, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7) + (-2)\/(-2) - (-430)\/(-1806).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -3*x**4\/4 + 14*x**3\/3 + 16*x**2. Let m(h) = -37*h + 56. Let k(g) = 6*m(g) - 13*s(g). What is the units digit of k(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -3*i. Let a = -53\/13 + 423\/91. Factor 2\/7*t**i - a*t + 2\/7.\nAnswer: 2*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 75*q + 170 = 0. Calculate q.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 75*j - 881. Let w be f(15). Solve -b = w*l - 14*l + 30, 5*l = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. What is the fourth smallest value in -1, -1\/3, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 5*n + 138 = 1169, 5*n = 5 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8215 is divided by 1625.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 43*j**2 + 1. Let z be k(-1). Let s(w) = -w**3 - 4*w**2 + 27*w + 19. Let g be s(-7). Let y = z + g. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y + 700 = 4*t, 4*t + 4*y = 660. Let d be (4\/(-2))\/(t\/17). Which is the closest to 2\/3? (a) -2 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 13\/((-221)\/51).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*j + 4267*j**2 - 3 - 4273*j**2 + 3 to s + v*j**2 + m*j and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 4 (c) -2\/29 (d) -6583\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1360)\/(-32) - (116\/(-16) - 21\/(-84)).\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5 + 10. Which is smaller: 2\/45 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10666977054336+-0.1\nAnswer: 10666977054335.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 10*p**2 - 10*p - 9. Let j be f(11). Suppose 0 = -3*g + 4*x + 6 + j, 2*g = 3*x + 6. Solve -7*u + 40 = -2*u - 5*o, g = 5*u + 2*o - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*n + 76 = -102*n. Solve u - 2*r + 82 = 76, -3*u - n*r = -22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*t**3 - 11 - 5 + 4 - 6 - 41*t**3.\nAnswer: 190*t**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -110221224040?\nAnswer: 110221224041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-143)\/(-52) + (-1 - (-10)\/8). Determine c so that -11*c**d + 5*c**4 - 245*c + 334*c**2 - 19*c**2 - 64*c**3 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-1) - 8\/4. Let b(q) = q**3 - 6*q**2 - q - 2. Let s be b(i). What is the units digit of (-22)\/s + (-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2*f**3\/3 + 311. Let a(m) = 20*m - 3. Calculate a(t(z)).\nAnswer: -40*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928312.\nAnswer: 2, 41, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 2*c)*(-1 + 10 - 4).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-961)\/(-4) + 15\/24*-2. Let n = -235 + g. Solve x + x = -n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-127*g + 11*g**2 + 126*g + 20*g**2) - g**2 - 2*g + 2*g + (-1 + 0 - 1)*(-3*g**2 + 2*g**2 + 2*g**2) + 3*g**2 - 4*g**2 - g**2.\nAnswer: -67*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/4 + 87299*g\/2 = 0 for g.\nAnswer: -174598, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k. Let d(w) = -310*w**2. Determine l(d(g)).\nAnswer: -96100*g**4 - 1860*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*w + 6, -4*o - 36 = -5*w - 8. Suppose 3*k - 58 = -4*p + 2*k, 3*p - 5*k = 32. Let f = p + -8. What is the remainder when f is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 7. Let b(j) = 17*j - 21. Let y(h) = -4*b(h) - 11*p(h). Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*w + 51. Let c = w - 33. What is the remainder when (-1089)\/(-6)*(-10)\/c is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - 35\/(-10). Suppose -99 = -3*s - 2*n, -k*n + 0*n = -3*s + 99. Let l(i) = 4*i**2 - 4*i - 112. Let u be l(6). Solve s - u = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and 2.095?\nAnswer: 4.3995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 - 6*u + 11. Let o be h(2). Suppose 0*p = -o*x - 2*p - 37, 10 = -5*p. Is -61\/6 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763234103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 = -2*z, z = -n - 4*n + 38. Let u = 62 + 12. Suppose 4*o - 253 = -3*q, -300 = -4*q + 2*o + u. What is the highest common divisor of q and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9629835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -19 in ascending order.\nAnswer: -19, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14796?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**3 - 3*z**2 + z - 1. Let k(g) = -g**2 - 1. Calculate -k(l) + p(l).\nAnswer: -6*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*280\/(-105)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*(g*g\/(g*g**(3\/5)*g*g))\/g)\/g)**(2\/23)*(g*g**(-5)*g*g)\/(g\/g**(-2\/5)))**9 assuming g is positive.\nAnswer: g**(-3663\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*7\/(-42)*3987\/(-163910)?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l + 31*l - 109*l + 15*l + 14*l.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7136*x**5 - 6474*x**4 + 818*x**2 + 41*x - 615 wrt x.\nAnswer: -428160*x**2 - 155376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 10 = 7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65124 and 6164.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2522015*a**2*g - 30*a*g + a - 91*g - 22 wrt a.\nAnswer: -5044030*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*w + 66*w - 120 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34816\/34715 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -127027 (base 11) to base 2\nAnswer: -110000101111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-106)\/(-22) - (-4 + 168\/44). What is the highest common factor of 15 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.89 - -0.09. Let h = 1.2 + j. Sort 1\/7, -0.1, h in ascending order.\nAnswer: -0.1, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652269293 to the power of 1\/2, to the nearest integer?\nAnswer: 40648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 6*j - 7*j)*(-1 + 1 - 2*j**2).\nAnswer: 38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**3 - 9*o**2 - 4. Let m = 14 - 23. Let s(y) = -y**3 - 2*y**2 - 1. Let r(l) = m*s(l) + 2*g(l). Differentiate r(f) with respect to f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 513397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1532?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2236, 4474, 6712, 8950, 11188?\nAnswer: 13426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64166.98ug in nanograms?\nAnswer: 64166980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12037536 (base 8) to base 9\nAnswer: -4860165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k - 25. Determine p(-13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 562116?\nAnswer: 2810580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2673756 is divided by 267374.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25572*j**2*q**4 - 2013942*j**2*q**2 - 12*q**4 wrt q.\nAnswer: -613728*j**2*q - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -x + 15, -5*x + 111 = 3*j. Let t = -24 + x. Solve 0*n + 2*n + a = 5, t = -4*a + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 1 + (-308)\/(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 574, -5, 11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 3*m**2 - 22*m**3 + 6*m**2.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:22 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (-2 + sqrt(272)))*2 - (sqrt(1377) - (-5 + sqrt(1377)*5)))**2.\nAnswer: -72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 128 + 98. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**3 + 28*x**3 + 21*x**3 - 11*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*(-146201)\/66*1 - (-12)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100001101010 (base 2) to base 16.\nAnswer: 586a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**17)*o)\/((o*(o*((o**4\/o*o)\/o)\/o)\/o)\/o))**(-2\/137) assuming o is positive.\nAnswer: o**(38\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 95.9, -457 in decreasing order.\nAnswer: 95.9, -2, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 36 + 26 + 2 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 449 - 449.0004. What is h rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 + 292. Which is the third biggest value? (a) -0.1 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 21*m + 26. Let k be (5\/3)\/((-3)\/9). Which is the biggest value? (a) -8 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/4 - 25*v**3\/3 - 76*v**2 - 272*v - 318. Factor q(d).\nAnswer: -(d + 4)**2*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 787 divided by -59.\nAnswer: -787\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -281*v**5\/4 - 5*v**4\/6 + v**3\/6 - 4*v**2 + 30*v. Let o be p(8). What is o rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-385)\/275*-20*36\/(-210)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*c + 32 = 0, 2*h - 1191 + 1211 = -3*c for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let b(u) = 12990*u. Give s(b(j)).\nAnswer: 12990*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -20.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1 + sqrt(162) - ((4 + sqrt(128) - sqrt(2)) + sqrt(2))*4) + 4)**2.\nAnswer: 736*sqrt(2) + 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + sqrt(3)*2 + sqrt(3) - -1*sqrt(9)\/sqrt(3).\nAnswer: 5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 20 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11900067495 - -0.1.\nAnswer: 11900067495.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a meter in millimeters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 569 + -543. Solve 0 = -31*q + k*q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:58 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 175 - 356 + 45870408*b - 45870393*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x + 195. What is the units digit of y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 7) in base 15?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {r: 10, o: 4, j: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1563*v**2 + 1555*v**2 + 477*v**4 + 32*v - 3121*v**2 + 2*v**3 wrt v.\nAnswer: 11448*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 36*z**2 + 25*z + 43. Let f(l) = 11*l**3 - 108*l**2 + 77*l + 130. Let i(q) = -3*f(q) + 8*t(q). Let y be i(35). Solve 5*g - 74 = -y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/9 + (-3)\/(-9). Suppose -r = i - 9, k*r = -i + 9 + 4. Let f(m) = -m + 10. Let y be f(i). Solve y*t - 5 = 8*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 54848?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8291.809s to nanoseconds.\nAnswer: 8291809000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-470910)\/(-40))\/(-11))\/(6\/(-8)).\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9005\/21 - 1265\/3. Let j = 5 + -9. Find the common denominator of b and ((-392)\/(-6))\/j - 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -74*n**5\/5 - 13*n**4\/2 + 95*n + 3. What is the third derivative of f(b) wrt b?\nAnswer: -1776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -689 - -3453\/5. What is x in 0 - 2\/5*x**2 + g*x = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(51 - 98 - -69).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by 4.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/5 - 1267*g**3\/5 + 58564*g**2\/5 - 624512*g\/5 = 0. Calculate g.\nAnswer: -1312, 0, 17, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 200 = -32*r. Solve 4 - r = 23*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 13*n - 69. Determine t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30094, -28239, -26384, -24529, -22674?\n\"Answer: 1855*p - 31949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -5*n + t, 4*n - 5*t - 45 = 61. Suppose -p - 3*v = p + n, 3*v = -p - 19. What is the remainder when -1*(-4)\/p*-55 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.6 - 38.72. Let i = j - -29.078. Let l = i - 5. Round l to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 100. Suppose 0 = 3*r - 4*q - 6, n*r + 4 - 31 = -5*q. Suppose 64 + r = 7*v. Calculate the remainder when 68 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753730.\nAnswer: 2, 5, 19, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let q(u) = 25*u**2 - 2*u. Give q(z(d)).\nAnswer: 25*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**4 - 29*d**3 + 11*d**2 + 17*d - 18. Let u(w) = w**4 + w**3 - 2*w**2 + w + 2. Let r(n) = -k(n) - 6*u(n). Let r(b) = 0. What is b?\nAnswer: -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055224585 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3619 and 77.\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257379.5 decades to centuries.\nAnswer: 25737.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2 - 2)*12\/(-2). Let a(s) be the third derivative of 7*s**4\/12 - 2*s**3\/3 - 3*s**2. List the prime factors of a(n).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 4. Let f(v) = 7*v - 7. Let q(d) = -6*f(d) - 11*k(d). Let x be q(3). Suppose 13 = x*m + 17. Which is bigger: -1\/22 or m?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14748 - -14775. What is the highest common divisor of 1125 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827899067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 59171*x - 118404*x + 59233*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41131472?\nAnswer: 2, 2570717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-109859075)\/(-1163723))\/(113 - -1). Let w = a - -227\/90003. Let g = 2\/737 + w. What is the common denominator of g and 29\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 = -3*z + 5*z, 5*o = 5*z + 45. Let s(t) = -t**2 + 8*t - 9. What is s(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 - 862\/(-6). What is c rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u + 5*u + 2*x - 20, 0 = -u - 4*x + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543754 is divided by 547?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from ajkbhdjd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 29, 49, 69, 83, 85, 69?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 11*w - 1. Let z(c) = -2142*c + 14. Determine 28*t(i) + 2*z(i).\nAnswer: -3976*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*u - 3*p, 0 = -u - 0*u - 2*p. List the prime factors of -1 + u - (-7 - (9 + 1240)).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3 + 3)*(3 - 2 + 0) + (0*h**2 + 0*h**2 + h**2 + (2*h - 1 + 1)*(2*h + 2*h - 2*h))*(-11 - 10 - 30*h + 20).\nAnswer: -148*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, -3\/5, 19.\nAnswer: -3, -2\/3, -3\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*o**3 - 5874*o - 529*o + 388*o + 46*o**2 wrt o.\nAnswer: 192*o + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*l - 3*f, 33 = -5*l + 4*f + 107. Let o = l + -72. Let q = o - -105. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/76857 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (158\/(-117) - (-12)\/9)*-9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from jllyyyjljkvvkkjyvj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - -2 - (9 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678722 a multiple of 2019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 = 0, 4271*w - 4276*w = -i + 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 580*x**2. Let b(g) = 0*g - 8059 + 8059 - 2*g + g. What is b(u(l))?\nAnswer: -580*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 1.5723 (c) -8914\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*w**2 + 7 - 7)*(2 - 2*w - 2)*(983*w - w**2 + 763*w - 517*w).\nAnswer: 22*w**5 - 27038*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 644.0002932 - 644. Round u to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -76. Let u(m) = m**3 + 7*m**2 + 5*m - 3. Let g be u(-6). Solve -4*k = -g*a + 27 - 5, i = k + 2*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 - 12*t**2 - 10*t**2)*(-18 + 29 + 24) to d*t**2 + i + s*t and give d.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*i - 36, -i - 4*z - 2 + 30 = 0. Suppose -v - i = -5*v. Suppose -14 + 47 = v*c. What is the greatest common factor of c and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (1 - 0 - 3). Let j be ((-6)\/(-15))\/(r\/(-5)). Let s = -191176 - -191190. Sort s, -0.5, -3, j.\nAnswer: -3, -0.5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 612, -519, -4306, -12021, -24936?\nAnswer: -44323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllljjllllj. What is prob of sequence jjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-135)*36\/(-40). Which is the smallest value? (a) w (b) 2 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 - 4 = 0, 546 = 5*y + 4*s. Calculate the highest common divisor of y and 15333.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-78*q - 198 + 198) + 0 - q - q - 1.\nAnswer: -80*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 14 + (1 - 3). Let t(k) = 12*k**2 - m*k**2 - 2*k - 2*k. Let f(s) = -5*s**2 - 5*s. Determine -2*f(g) + 3*t(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.400586316 rounded to 4 dps?\nAnswer: 0.4006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-564)\/24 + 15.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9009366 < -9009364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.156 + 1.844. Let w = 375 + -385.925. Let a = w - 0.075. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 49618.302.\nAnswer: 198473.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 260382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101144 by 1076.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4*z + 196, -3*z - z + 156 = 4*m. Calculate the common denominator of (214\/6)\/(m\/(-6)) and 79\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123 by 3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:03 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -131*a**2 - 11*a. Let v(c) = 26*c**2 + 2*c. Let r(f) = -2*u(f) - 11*v(f). Let h(m) = -4*m**2. Determine h(r(w)).\nAnswer: -2304*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/6 - 665*h**2\/6 + 1339*h\/2 - 2013\/2 = 0. Calculate h.\nAnswer: -671, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 16 = -3*h. Let c = -9 - h. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 49 = 3*u - 8*u, 0 = 2*u - 10. Suppose -196 = -5*d - 41. Calculate the remainder when d is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elosllonnillnlilill. Give prob of picking 1 e and 1 s.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.96495 millennia in decades?\nAnswer: 6096.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9289213.3 rounded to the nearest ten thousand?\nAnswer: 9290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1\/5 (c) -8 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/25 - 14\/25. What is the closest to s in -0.5, 1\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -1253\/11. What is the closest to 0.2 in -5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/4 of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 6. Let o be n(-6). Suppose o = -5*r + 21 + 19. Calculate the smallest common multiple of 2 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((56210\/20)\/(-73)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2187667, 2187669, 2187671, 2187673?\n\"Answer: 2*h + 2187665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -24585.3, 3 in increasing order.\nAnswer: -24585.3, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 21*r**2 - 71*r - 2. Give u(24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - (-125 - (23 + -162)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/23 (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 565222 and 8.\nAnswer: 2260888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-10))\/((-260)\/(-416))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8471, -10395, -12297, -14177, -16035?\nAnswer: -17871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 + 353*i**4 - 7*i**3 - 283*i**2 + i + 195?\nAnswer: -120*i**2 + 8472*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 28*u**2 - 475*u - 202. Give p(40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 12, k: 5}. What is prob of sequence kk?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 981597.3 microseconds in milliseconds?\nAnswer: 981.5973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**5 + u**2 - 3*u**5 + 2*u**2 + (-1 - 6*u**2 + 1)*(-3*u**3 - u**3 + 2*u**3).\nAnswer: 14*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396 (base 11) in base 6?\nAnswer: 42452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -23*u**2 - 29*u - 7. Let a(p) = -11*p**2 - 14*p - 3. Let z(m) = 14*a(m) - 6*w(m). What is the second derivative of z(j) wrt j?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/((n*n**(-2\/11)*n)\/n))*n)\/(n\/(n**(2\/5)*n)))**(-15)*((n\/(n\/(n**0*n))*n)\/n)**(4\/5)\/(n\/n**(2\/5))**(-4\/21) assuming n is positive.\nAnswer: n**(-18233\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 - 23*a. Let j(x) = -2*x**2 - 12*x. Let z(v) = 9*j(v) - 5*o(v). Let k(f) = -28*f. Determine k(z(d)).\nAnswer: -56*d**2 - 196*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1656 and 522?\nAnswer: 48024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -643, -1401, -2447, -3781, -5403?\nAnswer: -7313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001652036826 rounded to 6 decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8576312 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6833 and -0.22575.\nAnswer: 1542.54975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10943752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:23 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 15 (b) -3\/4 (c) -0.9 (d) -29 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37824 - 651877.\nAnswer: -689701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 175155 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5425.7292ns?\nAnswer: 0.000000001507147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from {d: 3, q: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 91680000 to the nearest 1000000.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfx when three letters picked without replacement from {g: 1, x: 1, f: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 11. Suppose -15*q = -18*q + 21. Determine v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252 + 239 + (-112)\/(-10) + 108\/10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 142, 206, 258, 298, 326, 342?\n\"Answer: -6*x**2 + 94*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23. Let r(k) = u*k - 4*k + 0*k + 6*k. Let g(s) = -2*s**2 + 8*s**2 - s**2. What is r(g(i))?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -570*q + 3470. What is g(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/60 + 2\/(-5). Let d = -349329\/8 - -43667. What is the biggest value in a, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 192\/(-88) - (-2)\/1. Let k = 403 - 424. Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (61\/8 + (-11)\/(10 + 1)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69672 is divided by 193?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12814*u + 26 + 42 - 12801*u - 101 + 33.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(sqrt(13) + sqrt(13) + 1) + sqrt(117) + 3)**2)*-5 + 2.\nAnswer: -73 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14104 = 19*v + 33*v - 11*v. Solve -351*x = -v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 9*n + 4. Let d be y(5). Which is the third smallest value? (a) 0.15 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15424406 to the nearest one hundred thousand.\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 271788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(4 - 2*u - 4) + u + u - u - 2*u - u - u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/11 - 4*y**4\/11 + 6*y**3\/11.\nAnswer: -2*y**3*(y - 1)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 3*y. Let p be d(2). Solve 5*r + 3 - p = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaididdaddaddddd. What is prob of sequence aai?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dd6a (base 14) in base 12?\nAnswer: 56776","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:31 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86513613 to the power of 1\/2, to the nearest integer?\nAnswer: 9301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 19. Let k(p) = -2*p + 18. Let i(g) = -4*k(g) - 3*y(g). Let o be (0 + 3 - -7)*1. Let s be i(o). Solve s = u - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 14. Let a be 55\/11 + -2 + 1. Suppose -10 = 5*k, 8 = -2*r + 3*k - a. Let n be q(r). Solve -20 = -n*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 609851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:48 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62863823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 1\/504*x**8 - 1\/9*x**3 + 0 + 15*x**2 + 1\/45*x**5 + 1\/36*x**4 + 0*x - 1\/315*x**7 - 1\/90*x**6. Suppose k(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000055955 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 96, 344, 744, 1296?\n\"Answer: 76*r**2 + 20*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4910 (base 10) to base 11.\nAnswer: -3764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -4988\nAnswer: 5\/2494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {z: 1, y: 2, j: 2, b: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {o: 1, q: 1, k: 1, d: 3, c: 2, v: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.88 - -1761.88. Let l = 1726.0001021 - w. Round l to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*o**5*x - 87179*i*o**2 + 4*i*o - 2*i*x + 14080*i - 2*o*x + 2*o wrt o?\nAnswer: 40*i*o**3*x - 174358*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0. Suppose -3*l = -10 + 22. Put 2\/11, h, l in ascending order.\nAnswer: l, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.64 and 0.07.\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252101*a + 252101*a + 587*a**2)*(5*a**2 + 21 - 21) as x*a**2 + s*a**4 + w*a**3 + b + i*a and give s.\nAnswer: 2935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-39)\/(-50)) - (-98)\/637. Suppose -l = -h + 3, -b*l - 3*h = l - 25. Factor -2\/13 + 0*p + 2\/13*p**l.\nAnswer: 2*(p - 1)*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122*(-5)\/30*2\/(14\/(-357))?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t - 5\/24*t**4 + 16*t**2 + 0*t**3 + 0. Suppose 4*p - 5 = -q, -4*q + 0 = 2*p - 6. What is o(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Suppose 15 = -8*b - 17. Let f = b - -82. Let n(g) = -f*g**2 + 156*g**2 - 87*g**2. Give v(n(c)).\nAnswer: -81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:07 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-892 - -888)*6\/(-160).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, o: 7}. What is prob of picking 2 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 224*q + 12 + 0 - q**2 - 18 in the form p*q**2 + y*q + u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 21. Give l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let g(h) = 742*h. Give g(x(o)).\nAnswer: -1484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -54, 22, 170, 414, 778, 1286, 1962?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12102 or -12168?\nAnswer: -12168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608 = -213*n + 610 + 486 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k + 1. Let m be s(2). Let x(u) = -2*u**3 - u. What is the units digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51700 to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1736 + 1?\nAnswer: -1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4 (c) 6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -0.4 (c) 0.24 (d) 0.2 (e) 42 (f) 4\/7 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 3. Let k be n(5). Let c be (-13)\/117 + 110\/k. Let q be (-3)\/(-2)*16\/c. Solve q*l = d + 16, 2*l + 29 = 5*l - 5*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 153, 175, 209, 255, 313?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -727755 and -727757 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*g**2*t**3 + 6*g**2*t*y - 3*g**2*y + 28*g**2 - 2857*g*t + 19*t**3 - 22*y wrt g?\nAnswer: -198*t**3 + 12*t*y - 6*y + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45936\/154)\/18)\/(3\/(84\/(-8)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.206779 rounded to 3 dps?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 48 = s + i, 36 = 6*i. Calculate the remainder when 626 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7276 and 2408662?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y - 3. Let d = -4 - -8. Let n(b) = b**2 - 4*b + 13. Let z be n(4). Suppose -z*j = -d*j - 54. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*j**3 + 4*j**3 + 21*j**3)*(-7*j**2 + 0*j**2 + 0*j**2) + 2*j**5 + 2*j - 1 + 1)*(-3 + 5 + 0).\nAnswer: -416*j**5 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*v + v. Let a(r) = -4*r**3 + r**2 + r. Let l be a(1). Put l, -7, v in ascending order.\nAnswer: -7, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 70*u - 66. Let d be m(1). Suppose d = 4*k, -4*i + 2*k + 3*k = -3. Let t be 4\/1*(2 - 1). Solve h = -2*q + 7*q + 14, t*q = -i*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98.2 + 98. Let p = 1018\/15 - 68. Let q(y) = -8*y - 206. Let x be q(-26). What is the closest to -2\/5 in w, x, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -67*i**2 - 2*i + 3. Let n be x(1). Let a = n - -90. What is the remainder when 70 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and 29.\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -98952.887034 and 0.5.\nAnswer: -98952.387034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 189*f + 16. Let d be h(-4). Let a be (-2)\/2*(7 - -320). Let k = a - d. Is k 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 11:00 AM and 5:54 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4965, 9930, 14905, 19896, 24909, 29950, 35025?\nAnswer: 40140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 5*m**2 + 7*m - 6. Let r be z(6). Suppose 5*a - 15 = r, a + a - 12 = -2*w. Does 21 divide w*3\/((-9)\/(-57))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426849 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019708245 rounded to 7 decimal places?\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 11. Suppose s = m*s - 4. Suppose -6*z + s*z + 224 = 5*d, 5*d - 232 = -2*z. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -8. Suppose 8 + c = 4*q. Differentiate 1 + 4*k**3 - 3 - 11*k**3 + 3*k**q with respect to k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*t - 4 = 0, -v - 3*t = 2*t - 22. Solve v*q + 3*q + 3*a = -3, 2*q - a = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - -3) + 2 - -4. Let r(f) = -x*f + 15*f + 2*f**2 - 4*f**2. Let o(i) = 11*i**2. Calculate o(r(k)).\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = x - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83731501.5 rounded to the nearest one thousand?\nAnswer: -83732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12))\/(12\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 5*b - 4*p, -4*p + 170 = 3*b - 2*p. Is 56 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 2\/9 (c) 8 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/15 + (-16766)\/(-1010). Factor o - 3\/5*i**2 - 69\/5*i.\nAnswer: -3*(i - 1)*(i + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -16. Let h be (-35)\/6 + (-1)\/6. Let s = m + h. Solve s = -3*y + 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422364 is divided by 1663?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:58 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcq when three letters picked without replacement from {c: 1, l: 1, h: 1, q: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 1, k: 3, z: 3, y: 5, x: 1}. Give prob of sequence ndk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2291420, -2291198, -2290976?\nAnswer: -2290754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -247*v**2 + 404*v + 25. What is w(1)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n - 375. What is j(27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((260\/1300)\/((-6)\/5))\/((-6)\/2088*-6)?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 28.70592cm?\nAnswer: 0.0002870592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 2\/9, -2\/3, 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 4 - 3 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + 6 - -2 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6739806 years in millennia?\nAnswer: 0.0006739806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7370222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 46*d + 275 = 0. Differentiate -39*u - 3 + 163 + 107 - d*u - 45 wrt u.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - p + 1. Let b(g) = 3*g**3 + 9*g**2 - 4*g + 6. Let f(n) = -b(n) + 4*s(n). Let v be (74\/(-370))\/((-2)\/50*1). What is f(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.276417ml?\nAnswer: 0.007276417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.96 - 0.04. Let z(y) = y - 2. Let l be z(5). Which is the third smallest value? (a) v (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - 2*q + 1. Let l be i(1). Let a(g) = -l*g + 187 - 187. Let b(d) = 3*d**2. Calculate b(a(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 7. Let c(z) = 30*z + 84. Calculate c(s) + 8*x(s).\nAnswer: 38*s + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/5 + 183680272*a\/5 + 4217305290249248\/5 = 0.\nAnswer: -45920068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 27 = 4*m, 15 = 3*u - 316084*m + 316086*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109aa (base 13) to base 8.\nAnswer: -73016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 11) to base 15.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -20. Is r >= 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 + 1 = 0. Solve g*z - 10 = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234454143 + -1?\nAnswer: -234454144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 334849678 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: Differentiate 158*u + 144.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2495.7 and 0.5?\nAnswer: 1247.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -30. Let o be b\/20*(-8)\/6. Let m(j) = -14*j**2 - 10*j**o + 26*j**2. Let s(r) = -3*r - 3. Give m(s(c)).\nAnswer: 18*c**2 + 36*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*n - 310*n + 630*n - 13 = d, -295*d = -2*n + 889 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 175*(-176)\/2200.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(-18)*-30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 8, p: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 62 = -54 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 7*b**3 - b**2 + 0*b**2 + 2 - 3. Let v be k(1). Suppose 4*o - 4*z - 20 = -v*z, 0 = 5*z + 10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)*-1)\/sqrt(6) + -5 + ((-2*(sqrt(84) + sqrt(84)*2 - sqrt(84)))\/(1*sqrt(1728)))**2.\nAnswer: -4*sqrt(7) - 38\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 3*m - 7. Let f(c) = c**3 + 7*c**2 - 59*c + 5. Let z be f(-12). Calculate v(z).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:07 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 + 32198*s + 255 + 254.\nAnswer: 32198*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1274 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934985?\nAnswer: 5, 67, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 + 254*k + 326. Let s be f(33). Let i(m) = 3*m - 6. Let v(w) = -16*w + 30. Determine s*v(y) - 22*i(y).\nAnswer: -2*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.007 + 0.197. Let j = -0.24 + w. Let m = 0 - 0. Put j, m, 1 in ascending order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeekeeeeekeeeeke. Give prob of picking 3 e.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1395 - -1054. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 58 = -22. Suppose -r - k = -3*r. Let t = -5 + r. Solve 0 = 5*s - t*w + 5, -s - 5 = s - w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/187 and 83\/1344326.\nAnswer: 14787586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61456, -122577, -183696, -244813?\nAnswer: -305928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/84 (c) 3 (d) 0.03 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 1\/5 (c) -5 (d) -0.2 (e) 25 (f) -6\/121\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -822 by 6.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**3 - 13049*v**2 + 12*v - 1722974?\nAnswer: 3*v**2 - 26098*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 39*j + 18*j - 84*j + 17*j + 381 + 40*j. What is the lowest common multiple of z(-12) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -768.79 + -10.21. Is -0.1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - (-159)\/(-15). Let b(g) = -2*g - 16. Let z be b(m). Find the third derivative of -3*j**4 + 2*j**4 - z*j**4 + 3*j**4 + 10*j**2 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 97888047*y. Let r(b) = -b. Calculate r(a(z)).\nAnswer: -97888047*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 0. Suppose -p = -5*p + q. Suppose 2*s + 2 = p*c - 0*s, -c - 11 = -5*s. Solve -v = 2*x - 4, -v - c*x + 10 = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 38. Let l(m) = -12*m - 11. Let v(k) = -k - 1. Let j(y) = r*v(y) - 4*l(y). Let p(d) = -4*d - 2*d - 4 + 9*d + 4. Determine j(p(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqddq. What is prob of sequence qd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 23 = 3. Let j be (-1*2)\/(4\/g). Suppose 2*d - j = -0*d + 5*v, -3*d = -3*v - 33. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 122*y**2 + 1583*y + 10. Give p(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((6 - 8) + 10 + 0) - 9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1128 and 5352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -399.2+840001\nAnswer: 839601.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12.7. Which is the closest to -2? (a) k (b) -1\/5 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -112, -246, -380, -514, -648?\n\"Answer: -134*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-5)*b**(6\/11)\/b*(b\/((b**(2\/27)\/b)\/b))\/(b\/(b\/b**(-1\/5))*b) assuming b is positive.\nAnswer: b**(11392\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 30 in decreasing order.\nAnswer: 30, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -614211\nAnswer: 12\/204737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**5 + 38*g**3 - 38*g**3 + (0*g**3 + 2*g**4 + 0*g**3)*(-5*g + 3*g + 4*g) + 2*g**5 - 2*g**5 + g**5 + (-167 - 51*g**3 + 167)*(-g**2 + 3*g**2 - g**2).\nAnswer: -38*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Find z, given that -2*z + 10*z + 8*z**2 - 2*z**i + 5*z**3 - z**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/11377998 and -89\/36822.\nAnswer: 11377998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001569306679 rounded to seven dps?\nAnswer: -0.0015693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 17\/5, -0.3 in increasing order.\nAnswer: -0.3, 0.2, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18088)\/13260 - (-112)\/126*(-3)\/(-2)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4022 - -4022.31. Which is the nearest to -3? (a) 5 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, d: 4, x: 3, j: 2, e: 2}. Give prob of sequence eejx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b**3 - 2*b**3 + b**4)*(0 - 1 - 1) + 172*b**4 + 170*b**4 - 348*b**4.\nAnswer: -8*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32a - -3?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 36*m + 96. Give o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.5072483 - -179.5072496. Let o = -153 + a. Round o to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 2*b + 3. What is the remainder when i(4) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -94 + 42 + 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1*1\/2). Let y = x - -20. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10122.\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009619 rounded to 6 decimal places?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9503580.\nAnswer: 2, 3, 5, 158393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = -4*s, 5 = -2*s + 3. Suppose -9 = -5*d - 4. Sort d, 2, r in descending order.\nAnswer: 2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223820\/351 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-2)\/(-2) + 43\/(-45) and -8\/55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from elleeel.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 244\/(-28) + -1 - (0 - 3) and 65\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 28. Let n be x(13). Factor -3*k**n + 4*k**2 + 0*k**2 + 209 + 275 + 44*k.\nAnswer: (k + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 divided by 11?\nAnswer: 639\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1292, 0.0291, 6?\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 7. Let b be p(10). Solve -7 = n + j - 4, -5*n + b*j = 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.9, -25\/2, 2\/39, -1\/2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:31 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12113100 (base 5) to base 11.\nAnswer: -78325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let t(z) = 46*z**2 + 12920*z + 6. Give t(q(f)).\nAnswer: 46*f**4 + 12920*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 2403, 5449, 9695, 15141, 21787, 29633?\nAnswer: 38679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m)*(3*m + 2*m - 3*m)*(0 - 3 + 1 + (1 - 4 + 2)*(2 - 4 + 0) + 0 + 0 + 1)*(-3 + 2 + 2).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = -2, -5*w + 1108 = 4*l. Let c = 224 - w. Factor 0 - 3\/2*i**3 + 3\/2*i + 3\/2*i**2 - 3\/2*i**c.\nAnswer: -3*i*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 7) to base 11\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1810707 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110101100 + 0?\nAnswer: 110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -2)*-2)**2 + -1 + 4.\nAnswer: -32*sqrt(19) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -55*x**3 + 4*x**2 - 4*x + 15. Let t(b) = -54*b**3 + 5*b**2 - 5*b + 17. Calculate -5*n(w) + 4*t(w).\nAnswer: 59*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12 + 24*j**2 - 3*j**3 - 4*j**3 + 5*j**3 + 0 - 6. Let t be c(12). Solve 5*o - 3*o = -2*g + 12, 5*g - o = t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2 and (-2)\/(-10) + (-174)\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5060145m to centimeters.\nAnswer: 50.60145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*j - 952 - 856 = 0, w = -3*j + 366. What is the lowest common multiple of w and 66?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/7 - 5*v**2 + 16*v - 76\/7.\nAnswer: -(v - 2)*(v - 1)*(v + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2516508 divided by 629127.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116716, -233423, -350120, -466807, -583484?\nAnswer: -700151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -4378.18\nAnswer: -437.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12756 + -6563. Suppose 7*t = 11664 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 54744912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is (-585)\/78*29\/((-4147)\/(-52))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -5*u**8\/952 - 16*u**7\/1785 + 11*u**6\/1020 + 8*u**5\/255 + u**4\/51 - 9*u**2. Suppose c(z) = 0. What is z?\nAnswer: -1, -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.269545 and -0.2.\nAnswer: -0.469545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 7, 0.4, -4, 144, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 14 + (-8 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 44*g**3\/9 + 46*g**2\/3 + 106*g\/9 + 4\/3 = 0.\nAnswer: -2, -1, -3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3.8384764\nAnswer: -1.8384764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 + (0 - -11) - (-217 - -220)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -123. Solve u + 2 = -0*j + j, b*u + 2 = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.006, -5, -1\/2, -3\/7?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/632 and 24\/553?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/12 + 2\/(-8). Suppose 28 = v*o + 8. Calculate the remainder when 11 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 - z. Let a(u) = 8*u**2. Give -2*a(p) - 3*j(p).\nAnswer: 5*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*a - 11, 2*y - 11*a - 13 = -10*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Let m(b) = b**3 - 2*b**3 + 2*b + 2 + 6*b**j + 1 - 2. Suppose -36*t - 36 = -42*t. What is m(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 20*n**2 - 2*n + 53. Let y be r(-20). Solve -y*s = -95*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 + 228*y**2 + 1160*y + 904. Let w(j) = 5*j**3 + 230*j**2 + 1162*j + 901. Let q(f) = -9*u(f) + 8*w(f). Factor q(d).\nAnswer: 4*(d - 58)*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27.79, 8, -0.5 in decreasing order.\nAnswer: 27.79, 8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h\/h**(-1\/3))\/h)))**39\/(h*h**(2\/7)*h*h)**44 assuming h is positive.\nAnswer: h**(-921\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581873 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 99*l**2 - 3*l - 9 - 81*l**2.\nAnswer: 18*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8964*g + 2440 = -8720*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggkg when four letters picked without replacement from ggkkkgggkkggkkgkkgg.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -111 + (196 - 39)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4240.87 + 4187. Round g to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -3, -862 in decreasing order.\nAnswer: -2, -3, -4, -5, -862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 14349*w**3 + 1 - 7902*w**3 + w**2.\nAnswer: -22251*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61.1, -0.2, 0 in decreasing order.\nAnswer: 0, -0.2, -61.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910010264.\nAnswer: 2, 37, 367, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84733404 divided by -74.\nAnswer: -1145046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112\/110147 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 5*b - 1. Let p(f) = -f. Let h be p(-2). Is d(h) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -47*d + 17*d. What is the remainder when 62 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4232543*c**6 - 61585962*c**2 + 1?\nAnswer: 507905160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 4*m + 5. Let d be h(4). Suppose -4*b - 5*n = -136, 12 = -d*n - 8. What is the remainder when b is divided by (6 + (-38 - -4))\/(-1*2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 3. Let v be r(6). List the prime factors of 14\/v - (-148)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*w = 279*w + 150. Calculate the greatest common factor of 50030 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 12*d**2 + d**3 - 6*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-765)\/(-306)*4\/(-14))\/(34\/(-833)).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/3 + v**3\/3 + 2*v**2 - v. Let a(n) = -n**3 - 5*n**2 - 3*n - 5. Let u be (-2)\/(-36)*4 + 16\/9. Give u*a(k) + 3*b(k).\nAnswer: -2*k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 1, -3, -0.1, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 935985.48 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 420877315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (-4*sqrt(20)*2)\/sqrt(4) + 4)**2.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 488*a**2\/3 - 32200*a\/3 + 643264\/3.\nAnswer: -2*(a - 152)*(a - 46)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 4\/9*d**6 - 2\/3*d + 2*d**5 + 0*d**2 + 2 + 10\/3*d**4 + 20\/9*d**3. Suppose g(f) = 0. Calculate f.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 13304441?\nAnswer: -13310000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 390*n**3 + 8665*n**2 - 40680*n + 32400.\nAnswer: 5*(n - 36)**2*(n - 5)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*n + 30, -3*n + 3*d + 0 = -6. Solve 4 = c + n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -326 - -221. Let o = -6029.1 - -6029. What is the biggest value in -1, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-292)\/(-14) - (-2)\/14. Suppose s*x - 10393 = 2333. Is x a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/11 - 20\/(-11). Let s(z) = -4*z**3 + 2*z**2 - 6*z + 5. Let m be s(c). Does 7 divide ((-6)\/(-10)*m)\/(25\/(-125))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**3 + 0*s**3 + 6*s**4 + (0*s**2 + 3*s**2 - 5*s**2)*(2*s**2 - 2*s + 2*s))*(-12*s + 5 - 5)*(-5 - 11 - 6).\nAnswer: 528*s**5 - 264*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 19, 58, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 1619 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2053\/8 - 257. Suppose 0 = 6*c - 2*c + 64. Let g = c - -16. Which is greater: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4781 + 9888. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 - -180. What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 64*m. Let k be h(1). Let y = -11 + 23. What are the prime factors of k\/y + (-4)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 28 - 2*f + f - 13. Let a be k(11). Let j = 3 - 0. Put a, -2, j in descending order.\nAnswer: a, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggsu when four letters picked without replacement from gusuqouggo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 - 1 = 0. Let v(c) = -c**2 - 5*c + 2. Let y be v(-4). Suppose 0 = -2*f + n + 3, -7*f + 2*f = n + 3. Solve f = r*w - w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-344)\/(-44) + 8\/44. Let t(i) = -i**3 + 7*i**2 + 7*i + 5. Let g be t(x). Put 1, g, -2 in ascending order.\nAnswer: g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15424 + -7188132.\nAnswer: -7172708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*h - 12*h - 1, -6 = 2*a - 2*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p. Let b(l) be the third derivative of -5*l**4\/24 - l**3\/3 + 6*l**2. Let x(g) = -11*g - 5. Let t(c) = -5*b(c) + 2*x(c). Give t(v(f)).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 12. Let r be f(-5). Let i = 90 + -40. Let y be -3 + 280\/i*10\/4. Put -5, y, r in decreasing order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -76. Let t(i) = 2*i**2 + 6*i + 5. Let o be t(-5). Is w greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 - 119. Let u(b) be the third derivative of 1\/6*b**4 + 0 - 1\/6*b**3 + 0*b + 2*b**n. What is the derivative of u(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 11\/((-22)\/12). Suppose 3*q - 108 = -h*x, -4*x + 4*q = 39 - 199. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 15 = -5*d. Suppose -g = -3*y - 8, -y + g - 9 + d = 0. Suppose 0 = 4*l - l + 6. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1648 divided by -8\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 34 = 0. Suppose 4*c - r = 5*t + 15, -45 = -5*c + 3*t. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 4, h: 7, a: 2, b: 2}. What is prob of picking 1 h and 1 x?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 - 5*v - 7. Let o be w(-4). Let h = -57693\/9770 - -5\/977. Find the common denominator of h and o*116\/30 - 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - a**2 - 9 - 7*a + 2*a. Let u be n(-9). Suppose -2*s = -2*v - 3*s + 7, 5*v + s - 13 = u. Solve 4*y + v*p = 22, 4*y + 4*p - 13 = 5*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 33, 56, 79, 102, 125?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 24*j + 42*j + 35*j.\nAnswer: 53*j + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(165\/(-36))*15\/9. Suppose 1222 = g*k - 402. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -10, -17, -40, -85, -158?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 378675977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or 2\/19?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 744, 751, 762, 777?\n\"Answer: 2*r**2 + r + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20877 is divided by 282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8006, 7187, 5816, 3887, 1394, -1669?\n\"Answer: -p**3 - 270*p**2 - 2*p + 8279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**2 + 2*y**3 - 7*y**2)*(221*y + 1475 - 1475).\nAnswer: 442*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1913 and 35.515237?\nAnswer: 1877.484763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and -19\/103086.\nAnswer: 103086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -881.984 + 885. Round n to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530 by 8.\nAnswer: 265\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133502, -266997, -400488, -533975, -667458, -800937?\nAnswer: -934412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/4 - (-158)\/(-24) and 81\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 0.98. Let g = 0.044 + 0.056. Suppose 0 = 5*m - 5*c - 5, 2*m - 4*c = 3*m - 11. What is the nearest to g in f, 7, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.01. Let p = 0.49 - d. What is the smallest value in 3, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 17. Let r = d - 31.1. Let i = 2 + r. Are i and -0.1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(-2 - 12\/(-7)). Suppose 5*v - 182 = 2*q, -4*v + w*q = q - 145. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0*v - v - 2*v**2 - 6 + 7 - 4*v**3. Let r be q(-1). Suppose -5*d + 1347 = r*k - 2010, -3*k = 2*d - 1340. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 8*i + 169334 + 16*i**3 - 169334.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 758\/7 - 108. Let h(k) = -k**2 + 2*k + 1. Let m be h(0). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a day in hours?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 = -i, 0*i + 54 = 5*i + u. Let j(r) = -r**2 + 5*r + 139. What is the lowest common multiple of j(-7) and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d - 9*d - 26*d + 0*d to the form a*d + j and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c**4\/2 + 33*c**3\/2 + 37*c**2\/2 + 15*c\/2 + 1 = 0 for c.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*v**5 - 8 + 20\/3*v**2 + 8\/3*v - 4*v**3 + 1\/6*v**4.\nAnswer: (v - 2)**3*(v + 1)*(v + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 + 79. What is the nearest to -2\/5 in -0.4, 0, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001101011011110111 (base 2) in base 4?\nAnswer: -10031123313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2) + -1 + 1. Let a be m\/(3\/(-24)*2). Suppose 10 = -x - 2*r, 2*r - a = -12. What is the biggest value in -3\/7, -4, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 + 0.05. Let h = t - -0.10000164. Round h to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**5 + v**4 + v**3 + v + 1. Let f(p) = p**2 + p + 1. Let i(x) = -2*f(x) + 2*g(x). Solve i(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 55 - 21 = 5*l, -574 = -39*a - 5*l + 562 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/14276 and -30\/1577.\nAnswer: 271244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b - 2. Let g be h(-5). Let p = -17 - g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6925 = 5*s, -252*a = -253*a - 2*s - 6910. Does -6901 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 18. Let q be p(8). Let v(x) = 2*x**3 - 9*x**2 + 9*x - 5. Is v(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*l**3 - 6*l**3 - l**2 + 59 - 59 to the form g + x*l**2 + c*l**3 + b*l and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**7\/525 + u**6\/150 + u**5\/75 - u**4\/30 + 2*u**2 - 7. Let y(d) be the second derivative of h(d). Factor y(m).\nAnswer: -4*m*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 82 (c) 4 (d) -0.3 (e) -6 (f) -1\/6 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 1, m: 1, a: 4, i: 2, b: 1}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03837 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzpx. Give prob of sequence zp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 16*s - 12. Let g be i(-3). Let r = g - -349. What is the remainder when r is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -24*z**2 - 20*z**2 + 45*z**2. Let w(s) = -6*s + 3. Determine w(n(m)).\nAnswer: -6*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 27 = -2*z. Which is the second smallest value? (a) 22\/3 (b) -0.3 (c) z (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 4 = 23*p. Suppose -4 = -3*g + 5*k, 0 = -5*g + 4*k + 7 + p. Is 19 a factor of (-410)\/(-10) - 1*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15931 divided by -2\nAnswer: 15931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrz when four letters picked without replacement from {r: 5, u: 1, z: 1, s: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.20822134 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 1, v: 1}. What is prob of picking 1 g and 2 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 - 87*n**3 + 3795*n**2 - 27225*n = 0. Calculate n.\nAnswer: -55, 0, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4776 divided by 6\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 9*(-1 + 0). Solve -4*m = -4*v + 12, v - n = -2*v - 4*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 4*d**4 + 2*d**3 + (-3*d + d**2 + 3*d)*(1 - d**2 - 1).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 270899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 70402*a + 1775. List the prime factors of r(1).\nAnswer: 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let y(h) = -187*h - 47. Let x(s) = -262*s - 71. Let d(t) = -5*x(t) + 7*y(t). Determine d(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7762393811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3145 (base 8) to base 14.\nAnswer: 84d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*w = -10*g + 6*g + 104, -120 = -5*g - 5*w for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2813 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + j + 121 + 0*j + 52 + 2*j in the form t*j + m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 2, h: 3, j: 3, y: 1, l: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(17\/4)*(((u**(1\/4)\/u)\/u)\/u*u*u)**(1\/13) assuming u is positive.\nAnswer: u**(-3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 2*d**2 - 2*d**2)*(18 + 3*d + 10 + 23).\nAnswer: 6*d**3 + 102*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.57. Let c = l + -58.57. Let k = c + 57.926. Round k to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 2*j**3 - 2*j**3 - 4*j**3 - 2*j**3 + 4*j**3 + (-j + j + j)*(-4*j**2 + 0*j**2 + 2*j**2) + 10*j - 4091*j**3 - 4754*j**3 - 10*j - 7354*j**3.\nAnswer: -16205*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1400 and 1200976.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuoulnqqnunxxlnun. Give prob of picking 1 o, 1 l, and 1 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6667, -12715, -18755, -24787, -30811, -36827?\n\"Answer: 4*c**2 - 6060*c - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 152 = -5*n + 2*i, -310 = -4*n + 2*i. Let m = n - 79. Solve 0 = 4*c - m*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*b - 4*b + 13*b)*(-91 + 10*b - 41*b + 84)*(-4 + 4 - b).\nAnswer: -403*b**3 - 91*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 903, 3530, 7909, 14040, 21923, 31558?\n\"Answer: 876*m**2 - m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 + -11010010?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 300840075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.7816 >= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 7*t + 6. Let d = -14622 + 14633. Calculate the remainder when b(6) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 3028566*l + 764351001363 = 0 for l.\nAnswer: -504761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 14 + 18. Solve n - 5*n = b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51534 divided by 2863?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16108879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 385 = -8*k. Let n = k - 28. Suppose -2*w + 9 = -n. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 3*c - 12, 2*v - c + 4*c = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 - 3*z**2 + 22*z + 8. What is j(-4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*l**3 + 0*l**3 + 10 - 1 + 4*l**3 with respect to l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1 - (-3801138)\/638840. Let k be (-2)\/(-5) + 95841\/(-239565). Let g = p + k. What is the common denominator of 95\/8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14618*l**2 - 3959.\nAnswer: -29236*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - g + 3 - 13 = 0, -6 = -3*u - 2*g. Suppose 0 = 2*f - 2*v + 12, -17 = 3*v - u. Let b be (f - -6)*(-2 + 3). Sort b, -3, 5 in ascending order.\nAnswer: b, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43524 (base 7) in base 14?\nAnswer: -3d84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 220669*n - 220658*n - 20*n**2 + 12*n**2.\nAnswer: -2*n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -350, -1273, -3074, -6047, -10486, -16685?\nAnswer: -24938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 163?\nAnswer: 4\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3\/3 + 3*v**2 - 4*v - 1. Suppose -k - k = s, -5*k - 2 = 2*s. Determine f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + 61596 - 61596.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1*3\/(2 + 4)). Sort y, -22, -1 in decreasing order.\nAnswer: -1, y, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6*-64.4\nAnswer: 231.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 2210?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 8*y - 71.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 21 + -22 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*u - 8 = 0, -4*x = x + u - 4. Which is the closest to 1\/4? (a) x (b) 5\/4 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(1573)*-1 - (sqrt(1573) + 0 + 1 + sqrt(1573) + 4))*5*-4)**2.\nAnswer: -132000*sqrt(13) + 5672800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 5*n**2 - n**2)*(-n + 5 - 5 + (-2*n + 0*n + 3*n)*(-2 + 4 + 0) + 1 - 2*n - 1 + (-3 + 3 - 2*n)*(5 - 3 - 3)).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lummllulullluu. What is prob of sequence lu?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:43 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgr when three letters picked without replacement from grp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 3. Which is smaller: s or 0.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 11. Suppose 0 = -9*d + 5*d - 16. Let a be m(d). Let t(g) = -2*g**2 + 0*g**3 + 2*g**3 - 4*g**a - 3*g + 2 + 3*g**3. Calculate t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3948)\/(-141)*(-9)\/12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/20 - 5*w**2. Let z(h) = 3*h**2. Calculate z(t(n)).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g**2 + g**2 - 11*g - 4. Suppose 0 = -0*r - 4*r - 40. Let s be c(r). Solve -2*a - 2*v - v = s, -4*v = -2*a + 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(242) - ((sqrt(242) - (5 + -1 + sqrt(242))) + sqrt(242)))*-1 + 5)**2.\nAnswer: 13225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -5 (b) -69 (c) -0.2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -141663.\nAnswer: 141661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 25*w**3 - 45*w**2 - 3*w + 4557. Let l(j) = -48*j**3 + 85*j**2 + 5*j - 9115. Let m(v) = 5*c(v) + 3*l(v). Differentiate m(t) wrt t.\nAnswer: -57*t**2 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*t + 4. Solve 4 - t = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaaejuuiejiauieejaa. Give prob of sequence ueee.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 959671*w**6 + w**3 + 11441048*w**2 wrt w?\nAnswer: 115160520*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2957795549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 192292457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145.79 - -145.8. What is the closest to -1\/3 in h, 2\/13, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*v + 25, v - 17 = 3*c - 0. Let o(h) = -h**3 - 6*h**2 - 2*h - 2. Give o(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76727504 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x - 5. Suppose -10*z - 2 = -12*z. Let k be j(z). Solve n + n + 35 = 5*a, k = 4*n + a + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -6\/257, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4\/5 (c) 0.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:44 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*l = 0, -5*p = -2*l - 18 - 6. What are the prime factors of ((-188)\/(-8))\/(3\/p)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377527, 377511, 377485, 377449, 377403, 377347?\nAnswer: 377281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18861.489 seconds in hours?\nAnswer: 5.2393025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 3*m**3 - 7*m**2 - 5 + 3*m**3 - 5*m**3. Let k(l) = -l**2 - 5*l - 1. Let v = 1 + -3. Let u be k(v). Calculate a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26925*g**3 - 26913*g**3 - 26915*g**3 + 80738*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*n**2 + 95*n**6 + 72*n**6 + 656*n**2 + 702*n**2 + 75*n**6 wrt n?\nAnswer: 29040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f + 11*f + 16037 = -101*f for f.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111800 rounded to the nearest 1000?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20*(-21 + 18)\/(3\/1). Put -25, 0, d in decreasing order.\nAnswer: 0, d, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-153))\/((-9)\/(-270)*10). Factor 6\/17 - n*d**3 + 10\/17*d + 2\/17*d**2.\nAnswer: -2*(d - 3)*(d + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/18*-2*(-36)\/96.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4254698 or -4254404?\nAnswer: -4254404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(3\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 978, -0.5, -2\/37, 0.2.\nAnswer: -0.5, -0.09, -2\/37, 0.2, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 2. Let u be n(5). Let g = u - 21. Let w = -17 - g. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1824\/112 - 17)*-129 + 24\/28?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358514, -358522, -358530, -358538, -358546, -358554?\nAnswer: -358562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10011001001 (base 2) to base 4\nAnswer: -103021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Let n be t(-3). Put 4, -4, n in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1. Let z(o) = -o**2 - 1. Let p be z(1). Let l be (p\/8)\/(2\/(-8)). Let x(b) = -b**2 - 2*b + 2. Determine l*x(i) - 2*n(i).\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than 3137384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*g + 3. Let k = g + 11. Let y be 2 + (k - (2 + -1)). Solve 0*b - 5*b = y*h + 28, 3*h + 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -58, -5, -1, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-25) + (-9)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 16*v**2. Let s(w) = -369*w**2 + 20*w. Let f(g) = -74*g**2 + 4*g. Let d(a) = 11*f(a) - 2*s(a). Determine d(l(c)).\nAnswer: -19456*c**4 + 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:52 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2798 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1111010 (base 2) to base 5\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 11*g**3 + 36*g**2 + 16*g - 64.\nAnswer: (g - 1)*(g + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -793*x + 244. Let f(j) = 3*j - 1. Give 5*d(o) + 1220*f(o).\nAnswer: -305*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 695 or 366099\/526?\nAnswer: 366099\/526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577 is divided by 337?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - 42*m + 2. Let b(z) = 6*z**2 + 43*z + 1. Let w(j) = -3*b(j) - 4*g(j). Calculate the remainder when 15 is divided by w(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 2*l + 4. Determine y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252.166 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 235525411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9981594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 + 55*o**4 + 4951*o**3\/6 + 16*o**2 + 62*o. Differentiate c(l) wrt l.\nAnswer: 2*l + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5343704104 to the nearest integer?\nAnswer: 73101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88815 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231796494.\nAnswer: 2, 3, 12877583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/7)\/(15\/10 + 1). Solve -3 = y, 0*n + 3*y = k*n - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {u: 1, q: 7, c: 4, a: 3, p: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -37*a**2 + 7*a. Let f(r) = 54*r**2 - 11*r. Give 8*c(i) + 5*f(i).\nAnswer: -26*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 871, 1869, 3317, 5215, 7563, 10361?\nAnswer: 13609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19678, -39354, -59032, -78712, -98394, -118078?\nAnswer: -137764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2. Let c(m) = 3*m**2 - 3*m**2 - 2*m**2. Determine c(b(x)).\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43656 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4046633495 and -8782.4.\nAnswer: -8782.8046633495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 - 4 = 2*n, 4*n - 5 = 5*z. Sort z, 4, 3, -5, 176 in increasing order.\nAnswer: -5, z, 3, 4, 176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(195\/8)*9\/(-12).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, 150, 1, 44.\nAnswer: -2, 1, 22, 44, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*o - 34 = 0, -2*h - 6 = 2*o - 34. Solve 4*b = -l - h, 5*b + 2 + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1\/4, 0, -9958\/7, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {t: 3, m: 4, f: 6, i: 1, b: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2707 - 1667. What is the highest common divisor of x and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329 - -341. Solve -5*t + 13 = -s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 6963.\nAnswer: -19\/6963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1117500 (base 10) to base 2\nAnswer: -100010000110100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c**2 + 12*c + 4*c**2 - 13*c)*(5*c - 5*c + 5*c) to l*c**3 + g + q*c**2 + m*c and give l.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*m**2*w**6 + 6*m**2*w + 36*w**6 + 7*w**2 - 4 wrt w.\nAnswer: 2640*m**2*w**3 + 4320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1275, -1093, -911, -729, -547, -365?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -346\/4735?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 5*y**2 - 2*y + 4. Let k be c(4). Let p(d) = d**3 - 20*d**2 - d + 24. Let n be p(20). What is the highest common factor of k and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*v + 2*v = 25, 2*u = -5*v - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37954 is divided by 4742?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + sqrt(3) - (sqrt(3) + -2 + -1))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u - 1. Let m(k) = -8*k + 1. Let c(r) = r - 5. Let z be c(7). Suppose -5*y + 60 = 5*x, -y = -x - z*x + 8. Determine y*v(t) + 6*m(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -23\/6. Which is the smallest value? (a) -30 (b) s (c) 0.3 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -664 - -677. Suppose 91 = -o*d + 507. Is 2\/3 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-29 - -13)\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, s: 7}. What is prob of sequence ls?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + ((-4)\/6)\/((-34)\/(-663))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:19 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 19\/(-4) - 3\/(-4). What is the biggest value in w, -0.3, -0.5, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 13*a - 6. Let y be g(6). Solve -3*x - 5*w = -2*w + y, 5*w + 28 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 69. Solve 6 = 2*k - w - 3*w, -3*w - d = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34237892.\nAnswer: 2, 13, 23, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24224 - -3355200?\nAnswer: 3423424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93365*x**3 + 117*x**2 - 285906*x + 455?\nAnswer: 560190*x + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 144\/432 + (-26)\/150. Let k(w) be the second derivative of -11\/15*w**4 + 8\/5*w**3 + 0 - 1\/75*w**6 + n*w**5 - 9\/5*w**2 + 12*w. Let k(l) = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -532.\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.775102 rounded to two dps?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(88)*1 + sqrt(88) + (-3*sqrt(88) - sqrt(88))*-6 + sqrt(88)))\/(2*sqrt(1152) - -4*sqrt(8)*2 - -5*sqrt(512)*-1).\nAnswer: 63*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - 21\/(-6). Let f be -4 - (-44)\/(-8)*-302. Suppose -3*m - 5314 = -5*a, -4*m - 2599 = -q*a + f. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 56, -1\/27, -2, 0.1, -186?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 10.9.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {r: 1, x: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.474581 weeks in nanoseconds?\nAnswer: 3915826588800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18772996 a multiple of 1289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 80 (b) 1\/2 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 38 = n, 4*n - 15 = -v + 33. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9546?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**3 + 11*o**2 + 8*o - 54. Is x(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.411432 millennia to years.\nAnswer: 411.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + e?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7593 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 773\/11 in -2, 0, -4\/7, 15, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -741225.\nAnswer: -2\/741225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(-5 - 7 + 1).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = -0, -p + 4*h = -15. Let f(v) = -6*v - 2. Let n(c) = -c. What is p*n(b) + f(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6860 > 347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-50)*5)\/((-4)\/(-106)) and 7 + 303\/(-6) + 5 + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.87*-0.04.\nAnswer: 0.6748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 2*d + 0*d)*(175 + 29 + 210 + 194).\nAnswer: 1216*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 + 51*y**2\/2 - 13*y + 83. List the prime factors of w(28).\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*y - 1190, -5*q - 7*y + 1165 = -5*y. What is the greatest common divisor of 141 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 461626?\nAnswer: 923252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.32005 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 + t + 7. Let l be z(-6). Suppose 0 = c - 7 - 4. Let o = 15 - c. Solve l = -s + j, 0*j = -o*s + 3*j - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1232 and 48.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -3 - (5 + -21 + 5 + 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322688294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2282174, -4564491, -6846808, -9129125, -11411442?\n\"Answer: -2282317*i + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 29*m**2 - 83*m - 12. Let r be s(24). Suppose 4*k - 7628 = 3*f, -4*f = -2*k + 2938 + r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 244*d*t**2 + 423*d*t + 89082*t**2 wrt d?\nAnswer: 244*t**2 + 423*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 4\/7, -2, 11, 0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/22, 0.011, 5, -2 in increasing order.\nAnswer: -2, 0.011, 3\/22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -190, -342?\n\"Answer: -152*q + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -446 - -314. Let g = s - -138. Suppose 0*n = -g*n + 1530. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**4\/4 - 4*f**3\/3 + f - 1. Let z(h) = -34*h**2 + 237*h + 3. Let y be z(6). Suppose -197*v = -y*v - 20. Give p(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6076)\/(-651)*9\/168.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, y: 5}. Give prob of picking 4 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) 7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156\/5 + 31. Let p = 254.1 - 256.1. What is the nearest to t in p, -3, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + n - 29. Let d(l) = 6*l**3 - 1. Let p be d(-1). Let m be (-2)\/(5\/p - -1). List the prime factors of c(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*q + 8. Let a(h) = 48*h + 385. Let o be a(-8). Put q, o, 0.5 in increasing order.\nAnswer: q, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 11*v + 30. Let y(r) = 4*r**2 + 38*r**3 - 23*r**3 + r - 4*r - 16*r**v + 7. Calculate y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 7*f + 2. Suppose 2*l - 4*i - 22 = -i, 37 = 5*l - 3*i. Give h(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, i: 1, b: 2}. Give prob of sequence ibb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**24*(j\/(j\/(j\/j**(-2\/83)*j)*j))\/j*j)\/((j*j*j\/(j\/(j**(-3\/23)*j)))\/j**(2\/23)) assuming j is positive.\nAnswer: j**(42459\/1909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 9) to base 11.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3159 divided by 1?\nAnswer: -3159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*w - 1. Solve w*r - 3*r - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/((-714)\/17)*4\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j - 3 + 3)*(436 + 860 + 19) + 5*j - j - 3*j)*(-11 + 29 - 16).\nAnswer: 2632*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 1512?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 154 + 449 + 201*w**3 - 138.\nAnswer: 201*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/593340 and 39\/496?\nAnswer: 2373360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*j - 6*j - 32, -3*j - 13 = -f. Let r(d) be the first derivative of d**4 + 12 - 5*d**3 - 15 + f*d**3. Find the third derivative of r(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3198*o**2 - 3*o + 402.\nAnswer: 6396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 6*t + 2. Let a(c) = c. Calculate -6*a(p) + s(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1562 + 3*f**2 - 7337*f + 840*f + 4*f**3 - 1562 + 0*f**2 - 15*f**4 wrt f?\nAnswer: -180*f**2 + 24*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 12\/(-2) - -13. Let d(a) = a**3 + 12*a**2 + 9*a - 21. Let s be d(-11). Suppose -5*o + s = -9. Solve -2*t - o*t - 13 = 3*w, 4*w = -5*t - m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in -5, 5, -1, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 4*h**2 - 2*h. Let j be (-84)\/49 + 4\/(-14). Let x be q(j). Let 0*d + 2\/7*d**2 + 0 + 4\/7*d**x - 6\/7*d**3 = 0. What is d?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 24 - 48 + 69*a)*(-12*a**2 + 19*a**2 - 95*a**2) to the form u*a**3 + g + m*a + o*a**2 and give u.\nAnswer: -6072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from orscystrscr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*r**4 - 17533901*r**3 + 185*r**2 - 1340041 wrt r?\nAnswer: -984*r - 105203406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - (5 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - (-90 - -36)) + 0 + -27.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*y**4 + 5*y**2 - 41994*y**3 + 41994*y**3 wrt y?\nAnswer: 960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1007109 - 16?\nAnswer: -1007123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 116 = -2*p - 4, p + 25 = -2*n - 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i**4\/3 - 130064*i**3\/3 - 65054*i**2\/3 + 56912*i\/3 - 2710 = 0 for i.\nAnswer: -1, 1\/4, 4065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67.3 - 69.3. What is the third biggest value in -0.4, 4, -1\/2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-32)))**(1\/4)\/(h**(1\/24)\/(h\/(h**35\/h))) assuming h is positive.\nAnswer: h**(-985\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 16948?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -66*w + 2. Let x(s) = 2*s. Determine h(x(a)).\nAnswer: -132*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.92 and -4.69673.\nAnswer: -5.61673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97a (base 14) to base 3.\nAnswer: 2120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18857, 75519, 169959, 302177, 472173, 679947, 925499?\n\"Answer: 18889*q**2 - 5*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.860873397 - -0.950871807. Let c = 3.91 + x. Round c to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*w - 177*w - 144 = -3*n, 5*w = -4*n - 3 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/28*-1)\/((-1)\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p**2 - p + 1. Let q be ((-2)\/(-2) + 2\/(-4))*-10. Let z be h(q). Suppose -u + 21 = z*u. Solve 2*r + 7 = u*k, -2*k - 7 = -r + 2*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 404288901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*i**2*o**3 + 8*g*i**2 + g*i*o**3 + 4*g*i*o + i**2*o + 142*i*o**2 wrt i?\nAnswer: 2*g*o**3 + 16*g + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216399.\nAnswer: 3, 53, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in 0.3, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11997, 12003, 12019, 12051, 12105, 12187, 12303, 12459?\n\"Answer: h**3 - h**2 + 2*h + 11995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -437*v**3 + 2522362*v**2 + 7582569*v + 34650 = 0.\nAnswer: -3, -2\/437, 5775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.4 + 11.8. Let i(v) = 9*v + 45. Let l be i(-5). Which is the second smallest value? (a) -7 (b) n (c) l (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**2 + v**2 + 2*v**2 + (0 - 3 + 0)*(0*v**2 - v**2 + 0*v**2).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 12 = -18*q. Let a be 3 + q + -2 + 3. Solve -l = 3*n + a, -2*n + 9 = -3*l - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985309 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405794620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(10)\/sqrt(2) - (-1 + 1 + sqrt(5)) - (2 + (sqrt(105)\/sqrt(3))\/sqrt(7)) - -6*(sqrt(500) + (sqrt(500) + 2 - sqrt(500))*4)*-4)**2.\nAnswer: 95448*sqrt(5) + 340216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.345 - 2.36. Let l = h + -0.085. What is the closest to 3\/7 in l, 3, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-203686)\/(-42) + 1\/3. Let z be (2 - 2) + s\/16. Let n = 302 - z. What is the common denominator of -11\/10 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a factor of 806623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*((sqrt(7)*3)**2*3 + 2) - (sqrt(35)\/sqrt(5) + -3 + sqrt(84)\/(sqrt(12)*-2))*3).\nAnswer: -582 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2093126770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 + 4 - 4*k**4 + 3 + (-k + k + k**3)*(3*k + 3*k - 4*k) + 0 - k**4 + 0.\nAnswer: 2*k**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/2277 = -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -22127169 - 34455166. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 divided by -140?\nAnswer: 229\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*y - y - 18, x = -4. Let h = -51 + 34. Let n = h + y. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by 1.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**4 - 11*d**3 - 19*d**2 - 11*d - 4. Let v(j) = -2*j**4 + 28*j**3 + 48*j**2 + 28*j + 10. Let i(p) = -12*g(p) - 5*v(p). Factor i(b).\nAnswer: -2*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, a: 6, i: 8}. What is prob of sequence aiaa?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 822 = 3*f. Let h = -36 + f. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 25863?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 222, 303, 428, 597, 810, 1067, 1368?\n\"Answer: 22*d**2 + 15*d + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16d6c7 (base 15) to base 7\nAnswer: 12264613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 3 + 18 + 0 - y + 14 - 4.\nAnswer: 6*y + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-106120)\/(-1050) + -74 + 14\/6 + (-3)\/(-5)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2 + 404620*p + 120534375 = 0.\nAnswer: -80625, -299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3899185936 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15432 (base 6) to base 10\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/19)\/v**(2\/25)*(v*v*v\/((v\/(v\/v**12))\/v))\/(v\/v**13*v))**(1\/13) assuming v is positive.\nAnswer: v**(1337\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(490)*-4)\/sqrt(10))\/((sqrt(77) - (sqrt(77) + (sqrt(77) - 2*sqrt(77))*3 + sqrt(77)))\/sqrt(11)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 560?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 + 10*r - 7. Let g(x) = -x + 21. Let b be g(16). Calculate the remainder when p(b) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x**2 - 5*x - 3. Let g be l(3). Suppose -4*w + w + 4*h = -151, -h = 2*w - g. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 7*w**2 + 2*w - 11. Let s be y(7). Let z(j) = 5*j - 3. What is z(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2. Suppose 5*u = 2*m - 52, -m - 4 = -0*m. Let k(c) = c + 19. Let w be k(u). Let z(d) = 2*d - w*d + d. Determine z(r(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 5*p - 3 + 3*p**2 + 5*p + 2 to y + m*p + o*p**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1010101011?\nAnswer: 1010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0 + 2*u**2 + 0*u**3 + 0*u + 0*u**5 + 1\/105*u**7 - 1\/24*u**4 + 0*u**6. What is the second derivative of k(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -721242544*n**2 - 93937215*n?\nAnswer: -1442485088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 - 1.4. Let p = -17 - -16.58. Let i = d + p. What is i rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:17 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*v**4 - 29 - 38*v**4 + 53 wrt v.\nAnswer: -128*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 53136 = 24*l. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**2*w)\/w)\/((w**(-16)*w)\/w) assuming w is positive.\nAnswer: w**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 53227799?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u**2 + 3*u + 3. Let b = -22 + 44. Let d = b - 22. Let w be k(d). Is w greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 9 + 9)*(-37*x + 14*x - 20*x)*(-2 - 2 + 2) in the form m + v*x and give v.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t - 34 - 2*t - t**2 - 12*t in the form r*t**2 + k + n*t and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1500 - -93904?\nAnswer: 92404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -961*w - 49698. Determine l(-49).\nAnswer: -2609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**26)\/h*h*(((h*h\/(h*h*h**(-10)*h))\/h)\/h)\/h)**(-5\/6))**2 assuming h is positive.\nAnswer: h**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let q(x) be the second derivative of -332*x**4\/3 + x + 530. What is q(o(a))?\nAnswer: -1328*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 + h - 2. Let w be l(2). Suppose 2*n = -0*n + w. Suppose -n*k = -27 - 15. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/220*3762\/(-10773)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 - (-11)\/((-44)\/28) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6993637 - 1336545 = 28*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - 96. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 929013?\nAnswer: -118\/929013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**2 - 138*l**2 - 62*l**2.\nAnswer: -230*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*v**3 + 42*v**3 + 43*v**3 + (-4*v - v + 4*v)*(-2*v**2 + 0*v + 0*v) to n + a*v**2 + f*v**3 + w*v and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.053 in -2\/3, -2\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625583769.\nAnswer: 3, 71, 2937013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:21 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**4 - 1296*o**3 + 425*o**2 + 26412901 with respect to o.\nAnswer: 12*o**3 - 3888*o**2 + 850*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81443.\nAnswer: 23, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5613.551mm to kilometers.\nAnswer: 0.005613551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5177297 + -2.50299. What is p rounded to four dps?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 727410167, 727410166, 727410165, 727410164?\nAnswer: 727410163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/((-3)\/54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 3, 0.17, 8, 0, -5, -65?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*c - 18302, -3*c + 853 = 3*s - 12860. List the prime factors of c.\nAnswer: 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499 is divided by 226.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 971.1331 minutes in microseconds?\nAnswer: 58267986000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7712746 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 24*v**3 - 33*v**2 + 60*v.\nAnswer: -3*v*(v - 1)*(v + 4)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z - 281. Let o(l) = 4*l + 94. Let v(g) = -6*k(g) - 17*o(g). Let m be v(0). Suppose 13*i - m = 9*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 1. Let u be n(1). Let s be (-4 - -5)*(u + 1). Let i(h) = -h**2 + 5. What is the units digit of i(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t, 5*w + t + 27 = -14. Is w bigger than -2.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -1.8849, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5548348 divided by 2.\nAnswer: -2774174","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 806*i = 799*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - i - 37, h - 4*h - 57 = -3*i. Let f = h + 19. Suppose -7*u = f*u - 504. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -568 + 805. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516909 (base 12) to base 15\nAnswer: -1a3399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0618355 + -92.5643645. Let g = 0.9362 + b. Let s = 91 + g. Round s to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-2\/11)*u))\/(u\/u**(15\/4))*u**34\/(u*u**(-29)) assuming u is positive.\nAnswer: u**(2945\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 20184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i + 3 - i**3 + 4 + 7*i**2 + 1 + 0*i**3. Let q be n(6). Let u be 2 - (3 + -8 + q). Solve -u*s - 5 = t, -2*s - 5*t - 3 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {b: 1, r: 1, d: 1, f: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 3*u**2 - 4*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 13*z**2 + 23 - 20 to b*z + t + a*z**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/660 + d**5\/660 - 2*d**3\/3 + 1. Let k(g) be the third derivative of s(g). Find a such that k(a) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9044467.\nAnswer: 31, 197, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-8)\/(-36)). Let j(a) = 2*a - 3. Let d(t) = t. Let u(z) = 4*z - 1. Let i(g) = 3*d(g) - u(g). Give c*i(v) + j(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265 a factor of 201904335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3\/2, -0.173, -102, 3 in descending order.\nAnswer: 3, 3\/2, -0.173, -2\/9, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -4*sqrt(133)*4)\/sqrt(7))**2.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -99. Let q = 3 + 2. Let s = q + -5.3. Which is the biggest value? (a) -2 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1 - 1737*w - 1 + 1727*w + 1. Let r(j) = -3*j - 2. Let n(t) = 3*t + 3. Let i(l) = -2*n(l) - 3*r(l). Suppose -3 = -x + 4. Calculate x*i(c) + 2*m(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*f = -1589, -3*z + z - 3*f = -3222. List the prime factors of z.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 18*u + 9. Give a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r + 2. Let d(x) = x**2 + x + 3. Let o(i) = -3*c(i) + 2*d(i). Suppose o(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-5) + (-117)\/(-15). Let s be v + 18\/27 + (-11)\/3. Solve m - 2*q - 1 = 9, -s*m - 4*q = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -25586*r + 25574*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + ((sqrt(18) + sqrt(18) + sqrt(450))*5 - sqrt(18)) + 0)**2.\nAnswer: 22050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108305580?\nAnswer: 2, 3, 5, 1805093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + b + 1182 = -3*t + 1195, -t + b - 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/2 - 1\/2. Let i be (-6)\/(-9) + 481\/111. Solve -q*d = -4*x - 6, 2*x - i*d - 5 + 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 118928?\nAnswer: 1308208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -3 - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y = -73*y + 143*y + 205209. What are the prime factors of y?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 89127?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370153 is divided by 661.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88304368 divided by -31?\nAnswer: 2848528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 51503064.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(17\/((-2431)\/(-33)))*(384\/8)\/8?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*f - 82*f + 58*f - 7*f.\nAnswer: -134*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 9*z**3 + 7*z**4 + 2*z**4 - 8*z**4 in the form n*z + g*z**4 + f*z**2 + q + y*z**3 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -5*t - 11. Let y = 67 - t. What is the greatest common factor of 63 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2597, -2608, -2625, -2648, -2677?\n\"Answer: -3*m**2 - 2*m - 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 103, 201, 299?\n\"Answer: 98*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21770000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 12*d**2 - 3*d + 12. Calculate s(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2278*l + 3*l**2 + 2291*l - 4569*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47837381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -235\/6. Let m(l) be the second derivative of 1\/12*l**4 + t*l**3 - l + 0 + 0*l**2. Solve m(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 35 - 19 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 414586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/(-24))\/(-8)*11871. Is g\/(8 + -5)*-11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*2 + sqrt(275)*2)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l)**18*l**(-5)\/l*l*l\/(l*l\/(l*l**(-2)*l))*((l**(1\/4))**11)**18 assuming l is positive.\nAnswer: l**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**19)**31 assuming u is positive.\nAnswer: u**(-1178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -5. Let s = 8.697 - o. Let q = 0.007 - s. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-434)\/3*6\/(-2). Let x = -33 + 61. Calculate the highest common factor of x and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 1\/27 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v**3 + 36475*v**2 + 831*v - 63784 wrt v?\nAnswer: 30*v + 72950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3734640\/30096 - (-280)\/(-55).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 10) to base 9.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816861474?\nAnswer: 2, 7, 23, 8748017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2029 + 192.7971. Which is smaller: -1\/4 or r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/2189 or 181\/5?\nAnswer: 181\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.244 + 28. Let n = f + 0.144. What is the closest to n in -2\/29, 0.5, 3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 398, 603, 812, 1025, 1242, 1463?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -494*s - 9171 + 9171 in the form y + m*s and give m.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.98 + -29. Let i = 0.02 + t. Let b be (4 + 10\/(-3))*3. Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:07 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27222799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*2)\/sqrt(7))\/sqrt(2)*-2 - ((sqrt(180))**2 - (-2 + sqrt(20)\/sqrt(4)))) + 4.\nAnswer: -178 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -28*i - 93. Let a be d(-6). Let f be (42\/15)\/(30\/a). Solve 0 = -3*j + f*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47264040 divided by 9816\nAnswer: -4815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 13*a**2 + 16*a**2 - a**2.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/3172 - 8719\/12688. Find the common denominator of -119\/12 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 (base 10) in base 14?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235655 and 678.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = 9. Suppose 0 = -3*u + 4*w + 2 + 5, -5*w + 25 = 3*u. Solve -t*f = -u*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 435*g**2 - 111168*g + 5778432.\nAnswer: (g - 96)**2*(g + 627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2092 + 2097. What is the biggest value in -4, 0.4, 5\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2.2, 2\/15 in increasing order.\nAnswer: 2\/15, 1, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 8*j + 32. Let u be t(-13). Suppose -2274 = -4*i + 3*v, 4*v - 2592 - u = -5*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -250871, -501309, -751747, -1002185, -1252623?\n\"Answer: -250438*b - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 2*o - 2*o = -3*n - 12*o - 33, -360 = 120*o for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Calculate the remainder when 50 is divided by 13\/((-455)\/(-952)) - 1\/5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let b = 6.7 - -6.6. Let o = 13 - b. What is the third biggest value in r, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -49, -1 in increasing order.\nAnswer: -49, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 574\nAnswer: -229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 + 20*s - 30.\nAnswer: -5*(s - 6)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - z + 13, -5523*d - 5*z + 65 = -5522*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)\/o*o*o)**(-7\/2)\/(o\/(o\/(o**(1\/3)\/o)))**(3\/16)*(o**0)**(-13)\/(o**1)**43 assuming o is positive.\nAnswer: o**(-1799\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + 17*h + 73. Is r(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158080457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 103*m**2 - m + 2. Let c be w(1). Let d = c - 46. Let a be 1*9\/(-3)*1 - -90. Calculate the highest common divisor of a and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**3 - 21*f**3 + 15*f**3 + 49*f**3.\nAnswer: 99*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 5*o. Let x(d) = -2*d**2 - 6*d. Let y(q) = 6*u(q) + 5*x(q). Let f = 86 + 41. Let l(t) = -264*t + 1 + 129*t + f*t. Determine l(y(b)).\nAnswer: -16*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(756\/8))\/((-243715)\/(-64785))\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l + 0*l - 2*l - 3360 + 3196 - 4*l**2 in the form m*l**2 + k + d*l and give k.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1454?\nAnswer: 7270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 290*v + 15. Let w(y) = y**2 + 193*y + 11. Determine 5*i(f) - 7*w(f).\nAnswer: -2*f**2 + 99*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/14*(-5)\/(-370). Let k = -11999\/4403 + m. Find the common denominator of k and 13\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0 + 2\/9*o**2 + 2*o = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38611*a**3 + 12*a**2 - a - 415?\nAnswer: -231666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/48*4\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 185931*o + 0*o**2 - 185931*o + 0*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**4\/12 + 9*c**3\/2 - c**2 - 63*c. Determine v(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(152\/95)\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/((-6)\/9)*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 4, i: 2, v: 2, b: 4, l: 3}. What is prob of picking 1 i, 1 l, and 1 x?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 4)\/(15\/10). Solve -h = -3*f, -5*h + 5*f - l - 8 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 4*p + 1. Let a be x(-5). Let n = 73 + a. Suppose 4*i - 4 = -0, -4*i = -2*k - n. Solve -f + k*f = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103937824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 1. Let a(i) = -i**2 + 2*i + 17. Let n(l) = a(l) + 2*w(l). Is n(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29651684 != -59303365\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, 1\/2, 105, -73, 17, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*t - 49*t + 6. Put -1, t, -7 in descending order.\nAnswer: -1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 345 + -372. Let n be (0\/((-9)\/(t\/(-6))))\/(-2). Solve 0 = u + 5*f + 10, -4*u - 10 = -n*u + 5*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 48*j + 3396. Give b(-87).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -3. Let o = -9 - -11. Suppose o = -2*z + 4*z, -5*c + 3*z = -7. What is the closest to c in -3, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:45 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161*z**2 - 567*z - 117921?\nAnswer: 322*z - 567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -60) + -3 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -181633, -181635, -181637?\n\"Answer: -2*m - 181631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9013446 by 346671.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -122a (base 13) in base 6?\nAnswer: -15523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 6*a. Suppose -10 = -3*w - 16. Let u(b) = 3*b**2 + 19*b. What is w*u(z) + 7*l(z)?\nAnswer: z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 7*g**2 + 7. Let p be 4 + 5\/(10\/(-4)). Let d(t) = -2*t**2 - 2 - 74*t**3 + 73*t**3 + 0*t**p. What is -7*d(l) - 2*q(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (0 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4\/5, -51 in increasing order.\nAnswer: -51, -4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 10?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 12*u + 21. Let y be w(-12). Let q = y - 15. Solve q*k = k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(104) + (sqrt(104) - sqrt(104)*-1 - sqrt(104))))\/sqrt(8) + -2 + (sqrt(1053) - (sqrt(1053) + 1 + sqrt(1053)))**2.\nAnswer: 22*sqrt(13) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(18)\/sqrt(8)) + (sqrt(27)\/(sqrt(27)\/sqrt(3)) - -5*(sqrt(12)\/sqrt(4) + sqrt(3))))**2 + -5 + -5.\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l**2 + 2*l + 3. What is b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -675168 take away -383?\nAnswer: -674785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1487, 5208, 23361, 58702, 116961?\nAnswer: 203868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 322 in 0.5, -0.3, -11, -4, 0.7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 3*r - 5\/6*r**3 + 1\/12*r**4 + 5\/2*r**2 + 0. What is x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277*q**4*v + 52*q**4 - 2*q**3*v**3 - 2709*q**2 - 27*v**3 wrt q?\nAnswer: 6648*q*v + 1248*q - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 25 = 0. Factor 1\/3*b**j - 1\/3*b**2 + b**3 + 0 - b**4 + 0*b.\nAnswer: b**2*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147974 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((111 - 87 + 31*u - 33*u)*(3*u - u + 0*u) - 20*u**2 + 13*u**2 + 14*u**2)*(-2 + u + 2).\nAnswer: 3*u**3 + 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 2:16 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - 3*m**2 - 3*m**2 + 3*m + 7*m**2 + m + m**4 in the form p*m + u*m**3 + n + g*m**4 + k*m**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 346537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g - 35. Let s be j(-6). Suppose 25 = -5*t, 3*p = 5*p - 5*t - 233. What is the highest common factor of s and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 82 and 34.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/120 + 7*m**5\/60 - m**4\/4 + 7*m**3\/6 - 2*m**2 - 4. Give b(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/11, -1.76, -0.3 in decreasing order.\nAnswer: 1, 2\/11, -0.3, -1.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from zmaaazaaamaamama?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cypoacy. Give prob of sequence ocpa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1591004180 divided by -5\nAnswer: -318200836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481 - 9*p**3 - 4*p**2 + 166 + 146 + 169.\nAnswer: -9*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -66. Find the third derivative of -9*v**l + 9*v**3 - 26*v**3 + 11*v + 12*v**2 wrt v.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*j - 147*j + 119*j to q*j + w and give q.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 2*m - 5*m - m + 0*m - m + (-5 + 4 + 2)*(0*m - m + 0*m) + 5*m - 72 - 1674 + 3*m - 4*m - 3613 as y*m + i and give i.\nAnswer: -5359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from hjfjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 9*x**2 + 6*x - 10. Let t(n) = n**2 + 5*n - 8. Let c be t(-7). Let z be 4\/c*-4*3. What is the units digit of h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8)\/sqrt(4))*-2 + 1)*5 + (sqrt(198)\/(sqrt(66)\/sqrt(6)) - sqrt(18))\/((sqrt(84)\/sqrt(7) + sqrt(12))\/sqrt(2)).\nAnswer: -10*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 60 - 54*h - 68 + 19*h. What are the prime factors of u(-3)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96891479?\nAnswer: 23, 139, 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*a**3 + 241*a**3 + 224*a**3 - 707*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 13, -560, -2, -37 in descending order.\nAnswer: 13, 3, -1, -2, -37, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -32834 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4914\/(-3312))\/(-7) - 8\/64 - 320\/(-23)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*j + 11818 - 832 = -7230 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-588)*(-216)\/90\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7466, -7477, -7498, -7529, -7570?\n\"Answer: -5*b**2 + 4*b - 7465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 7, -2\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 7011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 + b + 5. Let a(w) = w**2 + w - 1. Give -5*a(j) - l(j).\nAnswer: -j**3 + j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/8 + 23\/8. What is the closest to n in -4, 1\/3, -31?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 15*q + 0 + 5 - 4.\nAnswer: 17*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41487473 a multiple of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7319 - -7318.8. Which is the fifth smallest value? (a) 1 (b) 0.3 (c) -1 (d) j (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 l when four letters picked without replacement from {j: 3, c: 2, l: 2, r: 8}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -222022836 divided by 252?\nAnswer: -881043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 9c0?\nAnswer: 9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01170227197 to six decimal places.\nAnswer: -0.011702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0552 * -3\nAnswer: -0.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 135503.\nAnswer: 135503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 98, 194, 290, 386?\n\"Answer: 96*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5 - 17*r**4 - 32*r**3 + 73*r**2 + 64*r - 20 = 0.\nAnswer: -2, -1, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-3)*165\/110?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39100 + -4.91027199?\nAnswer: 39095.08972801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + v - 2*v - 3*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -10467, 4, 0.042, 0.2 in ascending order.\nAnswer: -10467, -3, -1, 0.042, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 130092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((-1)\/(-58)). Let f = h - -84. What is the highest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 22*z + 12. Let m(v) = v**2 - 33*v + 18. Let w(i) = 5*m(i) - 7*p(i). Let l be w(-5). Let t(n) = 2*n + 18. What are the prime factors of t(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t**3 + 2*t**2 - 15*t - 23. Let k(x) = -7*x**3 + x**2 - 8*x - 12. What is -6*i(m) + 11*k(m)?\nAnswer: 7*m**3 - m**2 + 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 308 = 9*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htgxh. Give prob of picking 1 h, 1 g, and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)\/r*r**10*(r**9*r)\/r**7 assuming r is positive.\nAnswer: r**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 554 = -590 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1863*k - 3816. What is b(2)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/24 + w**3 - 25*w**2. Let c be g(17). Let s = c + -11. Calculate the greatest common factor of 20 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**3 + 87*x**2 - 396*x + 540.\nAnswer: -3*(x - 6)**2*(2*x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0.5 (b) 4\/9 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-219)\/(-180)*8 + -8. Factor -18\/5*h**2 - 4\/15 - n*h - 14\/15*h**4 - 46\/15*h**3.\nAnswer: -2*(h + 1)**3*(7*h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 99*((-1)\/3 + (-10)\/(-15)). Suppose 32*d + 240 = n*d. Suppose d + 216 = 4*u. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2005*f + 85 + 90 - 271 + 96.\nAnswer: 2005*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 496390379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 bigger than 126347113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 164. Suppose k + 3 + w = 0. What is the least common multiple of 11 and k\/(-6) + 10\/15?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 144986.3nm?\nAnswer: 0.0000001449863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 26 = -2*u + 84, 5*u - 241 = -4*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 1978.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109.83 * -29957.\nAnswer: 3290177.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1850 - 1850. Suppose -4*n - 4*t - 4 = 0, u = 3*n - t + 5*t + 8. Let -27*x - 15\/2*x**n + 0 - 3\/4*x**5 - 111\/4*x**3 - 45*x**2 = 0. Calculate x.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*i**5 + 10*i**2 + 105*i - 105*i wrt i?\nAnswer: 1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1425*z**3 - z**2 - 39.\nAnswer: 8550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 4}. Give prob of sequence sbb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -24. Suppose 4*y - 6*y = -k - 155, 390 = 5*y - z*k. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7447, -14879, -22311, -29743, -37175?\nAnswer: -44607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x - 70. Let l be a(12). Suppose -l*u = 3*s - 7 - 43, -s - 5*u = 5. Calculate the remainder when 219 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18 and 0.433186448532.\nAnswer: 18.433186448532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by -57?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 4.\nAnswer: -79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t + 3*t)*(-2 - 2 + 2) + t - 6*t + 0*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**0\/x))**(-46)*(x\/(x**(2\/7)\/x))**(-10\/13) assuming x is positive.\nAnswer: x**(-12678\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 145*b**2. Let s(h) = -2*h. Determine o(s(y)).\nAnswer: 580*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333606924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 + -1 - (0 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 612180592*p - 23422817326341904.\nAnswer: -4*(p - 76522574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.94674 rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let h(r) be the third derivative of -r**5\/12 - 4*r**2. Give h(a(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10003130 + 0?\nAnswer: -10003130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + -2)*2 + -1 + (((sqrt(1700)*2)**2 - sqrt(17)) + (sqrt(1700)*-1 - sqrt(1700)))*-6.\nAnswer: -40805 + 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 618085388.8 from -1.\nAnswer: -618085389.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19413 and 8628.\nAnswer: 77652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 7 + 7\/(14\/4). Sort y, 1, 16 in increasing order.\nAnswer: 1, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17329\/4 or 4331?\nAnswer: 17329\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 44313100*x - 98182541580500 = 0. Calculate x.\nAnswer: -4431310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -10578 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:26 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 12 + 8*h - 148*h**3 + 72*h**3 - 43*h**2 + 74*h**3 + 12*h**2. Is o(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:14 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (12 - (33 + -22)) + -16 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -3 + 155\/25)*(13 - 11). Factor -2\/5*f**4 + 0 - 2\/5*f**3 + u*f + 2\/5*f**2.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.26. Let v = g - -5.16. Which is the closest to 0.1? (a) v (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -296, -522, -774, -1034, -1284, -1506, -1682?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*j + 17 = 0, 3*d + 0*j - 4*j - 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/7, -3, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -34*d**5\/5 - 173*d**2 + 10*d + 4. Differentiate r(p) with respect to p.\nAnswer: -408*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/54*6\/8)\/(24\/27)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755688?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2 - (-23)\/(-12)). Suppose -5*t - 9 = k - j, 41 = 2*k - t. Solve -6*m = -m - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + t - t)*(-1 + 10 - 3)*(-13 + 17*t + 13)*(-7 + 7 - 7*t)*(2*t - 4*t + 0*t) to b*t**4 + n*t + g + m*t**3 + s*t**2 and give b.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 20*b + 20*b + 2*b**2)*(0*b - b + 0*b).\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 1572, 8\/3 in descending order.\nAnswer: 1572, 8\/3, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065215 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 2007215?\nAnswer: 29\/2007215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a = -73*a - 33. Which is greater: a or -100\/31?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 44*m**2 + 3*m - 44. Calculate the remainder when 52 is divided by y(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-2 + 4.\nAnswer: -4*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 4. Let x be 7*(1 + 0)*g. What is the units digit of x\/(-9) - (-4)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17836\/(-315))\/(-14) - 4. Let d(w) be the third derivative of 0 + 0*w + b*w**3 - 1\/60*w**4 + 1\/450*w**5 + 6*w**2. What is u in d(u) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**7\/840 + 7*l**6\/360 - l**5\/30 - l**4\/3 + l**3 + l**2. Let x(r) be the first derivative of g(r). Give x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101 (base 3) to base 12\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i + 52*i - 1526 = -18*i - 10870 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 25*n**2 + 232*n + 281. Calculate h(-32).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5433, -0.01, -13, -0.4, 5\/13, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/37026 and 7\/612?\nAnswer: 74052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 13240*m + 13244 = 0. What is m?\nAnswer: -1, 3311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2017.9 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*g**2*o + 4*g**2*y + 2*g*y**2 - 6*o*y**2 - o*y wrt y.\nAnswer: 4*g**2 + 4*g*y - 12*o*y - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*c + 2*c**2 - 83*c - 2*c**2 + 149*c + 761*c**3 + 3 as l + u*c + k*c**3 + d*c**2 and give k.\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*k + 34*k - 41*k**2 to the form i*k + y + d*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1\/(-2) + 1314\/292).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7666 - 5.6597. What is f rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 124*k - 5. Suppose -15*q - 4*f + 74 = -14*q, 2*q + 5*f = 139. Calculate the remainder when i(2) is divided by q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-156)*30*12\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*v = -335*v + 100. Put -1, 2, v, 6, 8 in ascending order.\nAnswer: -1, 2, v, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:20 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*m + 1. Let w be (-42)\/m + (-8 - -5). What is the highest common divisor of w and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48516)\/(-3848))\/((-36)\/80) + 28?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-3)*j*j*j*j**(4\/7)*j*j*j**(-4)*j\/j**7 assuming j is positive.\nAnswer: j**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 3*a. Let q(z) = -z**2 + 2*z + 1. Let k(b) = -2*f(b) + 3*q(b). Calculate k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/3*(-15)\/10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*b, -4*v - 5*b = -0*b - 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 151*m**3 + m**2 + 151*m = 0. What is m?\nAnswer: -151, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - 2*a**5 + a**5 + (-2*a**2 + a**2 - a**2)*(-a**3 + 2*a**3 - 2*a**3) + (0*a**3 + 4*a**3 - a**3)*(3*a**2 - 4*a**2 - a**2).\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1623, -1383, -983, -423, 297?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001011 (base 3) to base 6\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857946954.\nAnswer: 2, 3, 73, 227, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31235740.\nAnswer: 2, 5, 71, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - v = -124, -16*w + 14*w = 3*v - 78. Calculate the smallest common multiple of w and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (56\/16 - 2)\/((-6)\/8). What is the tens digit of (-306)\/i*(-12)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10679377 is divided by 2650?\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, -867, -1008, -1215, -1494?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37630 and 171455.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from chschceespsuecc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w - 3. What is the remainder when z(4) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t + 2. Let b be z(-2). Let d = -265 + 265.2. Sort b, -0.4, d.\nAnswer: -0.4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8*y = -4*m, -2*y + 8 = 4*m. Solve 4*c = -3*l + 6*c + 1, m = 3*l - 3*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 9*q + 3*x + 2657, 5*q - 3260 = -5*x. Calculate the remainder when q is divided by 109.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 + 2*a - 8. Let v be r(6). Suppose 2*p + 20 = 3*c + p, v*c = -4*p. Solve c = t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 725 - 116. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 181005.\nAnswer: -36201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 2\/27*b**3 + 5\/108*b**4 + 1\/540*b**6 - b + 0 - 26*b**2 + 2\/135*b**5. Let p(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265921129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -1\/11, 61, -0.5, 5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 1, v: 1, c: 2, f: 2, x: 1}. Give prob of picking 1 v, 1 h, and 1 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 16. Let t be -2*(60\/j)\/(-5). Let q be (0 - t) + (-10)\/(-2). Sort -5, -4, q.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 213\nAnswer: -127.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 2916 = 522. Suppose 0 = 12*l - w - 306. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.3 - 16. Let h = 0.55608 + -0.256. Let r = h - f. What is r rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 37 - 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let m(b) = 9400 - 115*b - b**2 - 9400. Give l(m(f)).\nAnswer: 2*f**2 + 230*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*l**2*v**3 + l**2*v**2 - 2*l**2 - 49*l*v**4 + 350*l + 3*v**2 wrt v?\nAnswer: 828*l**2 - 1176*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 184441889*x**2 + 425628668 wrt x?\nAnswer: 368883778*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 36 - x**3 - 98 + 33 + 7*x**2 + 9*x + 29. Suppose -y = -5*f + 8, 1 = 4*f - y - 5. Let k be (-4 - -3)*(-16)\/f. Determine p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6098 + -5998. Which is greater: w or 97?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/3 at most as big as 8\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 8. Let f be o(-12). Let v(y) = -8*y**2 - 5*y + 5. Let b(r) = -7*r**2 - 4*r + 4. What is f*v(s) - 5*b(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 584*c + 0 - 17*c**2 + 6 + 578*c - 1163*c to s*c**2 + r*c + n + f*c**3 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:01 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 414 and 72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4123655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 8:15 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 4*k - 5. Let s be -2 - 0 - -28 - 1. Let h = s - 29. Is f(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3 + 18. Suppose -4*i = 4*x - 132, -5*x + 125 = p*i + 20. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 45068, -0.1 in decreasing order.\nAnswer: 45068, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70986 and 30.\nAnswer: 354930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.0751 decades in centuries?\nAnswer: 86.40751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 455, 1, -5, 12 in ascending order.\nAnswer: -5, -3, 0, 1, 12, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5053458 divided by -109?\nAnswer: 46362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53851.8 * 22.\nAnswer: 1184739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -4444?\nAnswer: 443c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) -1 (b) -30\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 19*q - 1694. Let i = 186 - q. Calculate the greatest common factor of i and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -128. Solve 0 = -2*b - 10, 3*y - z*y - 5*b = 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*2295\/(-459)*(-210)\/(-63).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.201323 times -0.3?\nAnswer: 0.3603969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -10*s**3\/3 - 7*s + 1. Let g(r) = 5*r. Give i(g(n)).\nAnswer: -100*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 56083.6023 to the nearest 10.\nAnswer: 56080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1049.7 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 277, 607, 1081, 1705, 2485, 3427?\nAnswer: 4537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 = s. Let l = -429 - -433. Solve -10 = s*o - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -8 (c) -43\/2 (d) 1 (e) 2\/9 (f) 48.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-16)*i**(-4\/13))\/(i\/i**(-17\/3)*i**(2\/59)*i) assuming i is positive.\nAnswer: i**(-55243\/2301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-16)\/(-54))*12. Let f = n - 121\/3. Factor -1\/2*x**2 + 0 + f*x.\nAnswer: -x*(3*x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 12. Suppose 61*z + 1249 = 1371. Solve c*o + 5 = 3*n + 2, 0 = -3*o - 2*n + z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 977 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004841 to 7 dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -0.5 (c) -3.613 (d) 1\/5 (e) -3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 847863.\nAnswer: -847838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 867492 and 20819808.\nAnswer: 20819808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -q + c = 3. What is the units digit of (-6)\/6*q*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 + 4*l**3\/3 - 9*l**2\/2 + 3*l. Let n be d(-9). Find the second derivative of -h + 2*h**2 - 4*h**2 + n*h**2 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -258329 - 0?\nAnswer: -258329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21 = -1. Calculate the greatest common divisor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -35 (b) 0.15 (c) 19 (d) 1\/8 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75470 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230339.\nAnswer: 230339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 21*x + 36*x - 96*x + 2 in the form t + w*x + q*x**2 and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9 + 0.1. Let c = 4.04 - t. Is c less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 3*x + 228, 3*x = -3*u + 666. Let q = 374 - u. What is the remainder when q is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 54*h = -3*d - 55*h - 11, 5*h + 35 = -10*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -25*z + 46. Let m(l) = 1074*l**2. Give v(m(h)).\nAnswer: -26850*h**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1870 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s*((s*s*(s\/(s**(-11)*s))\/s)\/s)\/s*s)*s\/(s**(-2)*s*s) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625971 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: Simplify -3 + (1*sqrt(612))**2 + sqrt(612) - (2 + sqrt(612))*1 - (-2*(sqrt(68)*1 - sqrt(68) - sqrt(68)))\/(sqrt(576)*3).\nAnswer: -sqrt(17)\/18 + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 788 = 378*n - 3740. Solve 4*v - 8*d = -12*d - n, 0 = -3*v + 5*d - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (417\/2230116*382)\/((2\/(-96)*-2)\/(-1))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 3 + (9 - 6). Suppose 5*l - 5*t - 525 = v, 4*l + 5*t - 402 = 3*t. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23391*b**2 - 23375*b**2 + 46766*b**2 - 24*b**3.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -920307 smaller than -920307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -19. Let d = 11 + p. Solve -5*b - z + 23 = z, -d*z + 13 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2585099000 to the nearest 1000000.\nAnswer: 2585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 101*l**3 - 3*l**2 - 5*l + 3. Let c(k) = 102*k**3 - 4*k**2 - 6*k + 4. Determine 3*c(j) - 4*o(j).\nAnswer: -98*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + 1)*(-744)\/(-10)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + g - 4, 5*j + 2*g = -6. Let c be 10\/(-35)*((-4958)\/4 + j). Let d = c + -354. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430719 or -2584309\/6?\nAnswer: -430719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64270, 128563, 192846, 257113, 321358?\nAnswer: 385575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -4a1a745?\nAnswer: -4a1a742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053) + sqrt(1053))**2*-1 + 4 + 0.\nAnswer: -9473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21345 (base 6) to base 8.\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/16 - (-34)\/(-72). Let k = 15795 - 15791. Let y be (-1)\/9*(-1 - 0). Sort 0.3, v, y, k.\nAnswer: v, y, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from bbipinkbnkkknnbkbiik?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-729))\/(8\/(-144)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453793.\nAnswer: 101, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 225\/10 - 3\/2. Let v = -172 + 403. Calculate the highest common divisor of v and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8*w + 19*w - 12*w - 1 + 4*w**2. What is i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 433 = -2*p. Suppose 0 = 2*u - y + 2*y - p, y = -3. What are the prime factors of u?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-25) - 13603\/(-1525). Suppose -3*g + k = -2*k + n, -3*g - k = -3. Solve 3*w + g = 3, f = 3*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 77, 124, 177?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -261, -265, -269, -273, -277?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(405) - -1*sqrt(405)))**2.\nAnswer: -8225 - 900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 28*m - 7. Let q(d) = 3*d**2 + 16*d - 4. Let p(w) = -4*g(w) + 7*q(w). Let x(t) = 5*t - 16. Calculate p(x(u)).\nAnswer: 25*u**2 - 160*u + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7849.96 millimeters?\nAnswer: 7849960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/11))**(-8)\/(((r*r**12)\/r)\/(r*r**10)) assuming r is positive.\nAnswer: r**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -463\/3 + 154. Let o be (-1)\/22*-42 + -2. Put 0.22, c, 3, o in decreasing order.\nAnswer: 3, 0.22, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = q - 5*q. Let p = 6 - 4. Suppose -11 = -3*l - p*y, 1 = -2*l + 4*l - 5*y. Put l, 5, q in increasing order.\nAnswer: l, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrg when three letters picked without replacement from {r: 1, v: 3, d: 5, g: 1, y: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + f**2 + 11*f - 2. Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**2 - 6*r. Let w(b) = 538*b + 7. Determine k(w(z)).\nAnswer: 2894440*z**2 + 72092*z + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -25 - (-4 - (1 - 4)). Let i = k + 30. Differentiate -8*c + c - 2*c + i wrt c.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1241251 by -1.\nAnswer: -1241251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 + 2 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-3\/8))*o)\/o)**(-26))**(-1\/91) assuming o is positive.\nAnswer: o**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 32*w**2 + 5*w + 1. Let q be k(6). Suppose -8*x - q = -15*x. What is the highest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 34*n**2 + 4*n - 27. Let y be u(-7). Let g = -1935 + 791. Let d = y + g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6)**(-20)\/(o\/(o**(-4\/9)*o)*o**(3\/13)) assuming o is positive.\nAnswer: o**(-14119\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Suppose 6*h = 7*h - 6. Let l(t) = -3*t - 4. What is h*y(j) + l(j)?\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 + 50*b - 8. Calculate s(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s - 23 + 53*s + 100*s - 36. Is h(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 59. Let o = a + -42. Let v(q) = 1365*q - 4. Is v(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 4, v: 1, l: 9, x: 2}. What is prob of picking 1 x, 1 v, and 1 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 11*j**2 - 223*j - 56. Determine a(14).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651474521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(336) - (sqrt(336) - ((sqrt(336) + -1*sqrt(336) - sqrt(336)) + sqrt(336)))))\/((sqrt(24) + 2*sqrt(24))\/sqrt(8)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45005545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1497175\nAnswer: -748587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -12.9.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:43 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6186*r + 86609. What is l(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4\/7 + 416*g**3\/7 - 3084*g**2 - 416*g\/7 + 21584\/7 = 0. Calculate g.\nAnswer: -142, -1, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 3*z)*(1 + 0 - 4)*(-652 + 2691 + 1398).\nAnswer: -10311*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2 + 17*l**2 - 10.\nAnswer: 17*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9900 and 360.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 5*u = 4*j + 2, -2*j - 4 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 686792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2099*y - 34 = -2097*y, 4*s - 19 = 5*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 2357, 5346, 9529?\nAnswer: 14906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 54. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v + 18*v - 12*v + 10 + 0. Let l = 16 - 9. What is b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 462339293\/756 - 611560. Calculate the common denominator of o and 71\/30.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -6, 5, 27, 0, 15, -3.\nAnswer: -6, -3, 0, 5, 14, 15, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 735\/245*6\/4*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -865 - -1119?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*a = -5964 - 7317. Sort a, 4, -1, 5 in decreasing order.\nAnswer: a, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5984 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-2)\/8*2). Let l be (-1*(1 - -1))\/(-2). List the prime factors of 2\/k*46 + l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/20 - t**3\/6 - 153*t**2\/2 - t + 48. What is the first derivative of v(s) wrt s?\nAnswer: 3*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 10*b = x - 20, -2*x - 10 = -2*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6976 and 12862.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-22)*(-59268)\/7184\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-35)\/15 + 376\/(-141). Let a(s) = 8*s + 10. Let d(k) = 5*k - 3 - 4*k - 4*k. Calculate v*a(x) - 10*d(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -776 + 551. Let q = -224.9 - p. Which is bigger: q or -68?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (1 + sqrt(1100) + -6*sqrt(1100) + sqrt(1100) - sqrt(1100) - sqrt(1100) - 2*(sqrt(1100) + 2))**2).\nAnswer: -211221 - 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23725515 to 3 dps.\nAnswer: -0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4527 is divided by 60.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2985 in -3\/7, -2\/11, 15\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19063776 - -1374?\nAnswer: -19062402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/13, 1\/4, 4 in ascending order.\nAnswer: -2\/13, 0.2, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274 + 274 - 119*m to the form s + a*m and give a.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023102 - 0?\nAnswer: -1023102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 2*z**2 + 3*z + 3. Let m be l(-3). Suppose m*w - 48 = 45. What is the smallest common multiple of 2 and 2\/6*(-10 + w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = v - 32. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821a (base 11) in base 12?\nAnswer: 6393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.218640087 rounded to 4 decimal places?\nAnswer: -4.2186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k - 2*o + 28, -2*k + 3*o = -22. Suppose -k*q + 3*q + 9 = g, -5*g + q + 149 = 0. What is the remainder when 56 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 503987453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 46?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m - 110*m**3 + 953*m**3 + 30*m + 21*m.\nAnswer: 843*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-15))\/((-130)\/15)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c - 8. Let h(z) be the first derivative of -15*z**2\/2 + 9*z - 7. Let j(u) = -6*a(u) - 5*h(u). Let i(k) = -k. What is i(j(p))?\nAnswer: 9*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3 (c) 2503 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72042 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11546 - 10462 = 262*g for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5988 + 9242. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:08 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11)*-1) - (5 + sqrt(99)) - (4 + 3*sqrt(22)\/sqrt(2) + sqrt(11) + sqrt(11)).\nAnswer: -9*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 346115698*k + 1001422272 wrt k.\nAnswer: 346115698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/7635 and -139\/152700.\nAnswer: 152700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12380 - 865?\nAnswer: -13355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/3 or -0.10685?\nAnswer: -0.10685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24 and -12231325.\nAnswer: -12231301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42604800 and 3600?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/72*(-5)\/(-20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 866376116 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {x: 4, m: 2, v: 2, j: 6, a: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9*s + 10 = 0. Suppose 0 = 3*u - 8 + s. Differentiate -827*i**2 - 11 + 827*i**u - 8*i**4 wrt i.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -10*l**2\/9 + 1390076*l\/9 + 185344\/3 = 0.\nAnswer: -2\/5, 139008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + -10 + (9 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 89557*l**2 - 12 - 2*l + 0 - 89552*l**2 in the form o + u*l**2 + z*l and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0 - -c7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4288 = 4*r, 4*r + 2 - 18 = 0. Suppose 0 = 5*l - c + 176. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 70*z + 1 - 30*z + 1. Let w be k(3). Suppose 5*g - 6*g + w = q, 3*q + 3 = 0. List the prime factors of g.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -47. What is the first derivative of s + 1770*t - 1770*t + 5*t**2 wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1. Let u(l) = 4*l**3 - l**2 - 6. Let q be 118 - 128 - -11*1. Calculate q*u(j) + 6*x(j).\nAnswer: 4*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -7, 2\/47, 2?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 1. Let k(j) = -4*j + 14. Determine -k(r) + 5*o(r).\nAnswer: -r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -884*d**3 + 3715353 - 1589*d**2 - 3715353 wrt d.\nAnswer: -5304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 133824 divided by 68\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 - 17*q)*(-2 + 3 - 2)*(3*q**4 + 0*q**4 - 2*q**4).\nAnswer: 17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 0, 2*p - 3480 = 4*p + 3*o. Let r be (-6 + 4 - -72)*p. What is r rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 + 405*s**2 + 410*s = 0?\nAnswer: -1, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0033 - 0.1967. Suppose -5*o - 8 = 2*i, -3 - 13 = 4*o. Let l be (-102)\/(-25) - (-2 + i). Which is the third biggest value? (a) l (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128176 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p\/(p*p**(-3))))\/p*p)\/p**(-1\/8) assuming p is positive.\nAnswer: p**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 12 + 4. Let n = 2.839 + 0.161. What is the third biggest value in q, n, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8105 = 8099, -5*x = 5*t + 50 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 13) in base 3?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 3*s + y - 43, -3*s - 3*y + 300 = 0. Round s to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.475048 less than -37?\nAnswer: -37.475048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9733, -9699, -9681, -9685, -9717, -9783, -9889?\nAnswer: -10041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5 + (-14)\/4 + (-42205)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**5\/60 - 13*l**4\/24 - 5*l**3\/3 + 801*l**2. Calculate s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4. Let r(b) = 2*b - 42. Let d(x) = -q(x) + r(x). Let n be d(24). Solve n = 4*f + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(891) + sqrt(891)*-6*-6 - 2*sqrt(891)*-5))**2.\nAnswer: 196821900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.697861 months in decades?\nAnswer: 0.222482175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a**2 + a - a - 12*a**2. Let d(z) = 4*z. Calculate d(k(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2 + -1 + (-840)\/40. Let t = 25 + f. Let d(r) = -5*r**2 + 10*r + 4. Let a(u) = 4*u**2 - 9*u - 3. Let s(i) = 4*a(i) + 3*d(i). What is s(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -130. Calculate the lowest common multiple of 6 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 268322325 divided by -3577631\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/70 - 3\/14. Let u = -27 - -28.1. Let o = u + -0.9. What is the closest to 2\/5 in -1\/3, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 t when four letters picked without replacement from {t: 4, n: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 94\/7 (b) 3\/8 (c) 0.2 (d) -1\/4 (e) -1\/9 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58\/5 + (-1 - 49\/(-35)). Let b = r - 10. Solve -c + 1 = -b*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55056, -0.0138, -3\/5?\nAnswer: 55056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -11) + (1 + 1 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 7. Let t be s(-7). Let k = -6 + t. Solve -7*x = -3*x + k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2*6\/8. Let o be -1*(r + 1) + 17. Suppose -3*d - 1 + 3 = t, 4*t - 5*d - 8 = 0. Solve -m + o = 7*v - t*v, -5*v + 5*m = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 26. Let z(x) = 13295*x. Determine b(z(p)).\nAnswer: -13295*p + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -4. Let b be (-15)\/c*3*-12. Let g = -17 + 35. What is the highest common factor of g and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (16 - (-3 + -6 + 10))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -615 + 1122. Let w = g - 505. What is the second biggest value in -0.3, -2\/15, w?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 488 + 857d8?\nAnswer: 85c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a week in minutes?\nAnswer: 168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/3 + 49*-1. Let v(u) = 2*u + 89. Let c be v(w). Solve c*z = 7 - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 689796*t**3 + 736888 wrt t?\nAnswer: 2069388*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z = 16182*n - 16179*n - 67, 13 = 5*z + 3*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**7\/840 - b**6\/120 + 2*b**3\/3 + 1. Let l(y) be the third derivative of q(y). Find the third derivative of l(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17*n + 1. Let k be h(3). Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8827 + -4879. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8943, -8946, -8949, -8952?\n\"Answer: -3*f - 8940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1327 - -1345. Let k = -610 - -1024. Calculate the greatest common divisor of g and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -18. What is the smallest value in 93, 2\/19, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 3. Suppose 2*v = 5*v + 42. Let h = 21 + v. What is the remainder when h is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 19 - 6. Solve y = -s - 4, 0 = 2*y - 4*s + o + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146314 and 686.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110000100101100101001111 - 11?\nAnswer: 1111110000100101100101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28c + 1?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*j**3 - 3*j**2 + 137*j?\nAnswer: -168*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012389167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 78*v**6\/5 + 10*v**3\/3 - 7*v**2\/2 - 74*v. What is the second derivative of s(q) wrt q?\nAnswer: 5616*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78919668 divided by -444\nAnswer: -177747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 48. Calculate the remainder when 22 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -19*x + 13 - 73. Let n(b) = 75*b - 51. Let g(p) = 3*p - 2. What is x*n(q) - 153*g(q)?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Put -2, -6, r in ascending order.\nAnswer: -6, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 0*2\/(-6). Solve 5*h = 4*q + 3, -2*h + 5 = 2*q - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 320391, 320345, 320297, 320247, 320195, 320141, 320085?\n\"Answer: -o**2 - 43*o + 320435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/4 + 37*p**3\/6 + 109*p**2. Differentiate c(k) with respect to k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.068152kg to nanograms.\nAnswer: 4068152000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1411 - -909?\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 99950000 to the nearest one million.\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002195955 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -2 - (-19 - (-5)\/(-5)). Calculate the highest common factor of g and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 3*r - 11, -4*r - 12 = 2*i. Let z be (-1 - 6\/i)*3. Let l = -64 - -68. What is the closest to -1\/3 in z, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.271 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 343*t + 1750. Let f(x) = 18*x + 92. Let c(z) = 77*f(z) - 4*n(z). Let w(u) = -1. Give -c(b) - 84*w(b).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 3. Suppose 2*q = -4*q - 6. Let m(g) = 5*g - 7. What is the least common multiple of a(q) and m(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/44 - 126\/(-33). Suppose 4*o - 3*h - 13 = -0*h, o + 2*h - 6 = 0. Let q be ((-8)\/(-112))\/(1\/o). Which is the nearest to -1? (a) d (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5374924201 + -5374923921.0000039. Let d = h - 280. Round d to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14441*(-30)\/175)\/(15\/250)?\nAnswer: 2, 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 + 55*w - 28. Determine b(13).\nAnswer: -2017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002454022 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2069.05 + -1988. What is l rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 403*k**2 + 122*k**2 + 11*k**2 as z + v*k**2 + a*k and give v.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 86, 150, 250, 392, 582, 826, 1130?\n\"Answer: q**3 + 9*q**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 3*v**2 + 2*v + 2*v**2 + 12*v**2. Is c(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 2.6, 66\/5, -5, -11?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.2, 2\/3, 2, 342, 4?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -9838?\nAnswer: 9833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 37. Suppose 2*r + 3*n = 864, -r - n + x + 431 = 0. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4968\/55 - 447\/5. What is the common denominator of n and -77\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29\/5, 11, -3\/2, 0.5, -3\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2024*o - 2025. What is x(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 5)*(5*x + 5*x + 3*x)*(2*x - 4*x + 0*x) to o + k*x + v*x**2 and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 262597, 262627, 262681, 262765, 262885, 263047, 263257, 263521?\n\"Answer: v**3 + 6*v**2 + 5*v + 262585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122693 bigger than 122693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h = 48*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 p when four letters picked without replacement from {d: 3, p: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.195 - 0.19764. Round g to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12480 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mco when three letters picked without replacement from {e: 1, m: 1, c: 5, o: 2, a: 3, u: 1}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14493876 * -4.\nAnswer: 57975504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 568, 857, 1196, 1615?\nAnswer: 2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18524 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1456, 1457, 1458, 1459, 1460, 1461?\n\"Answer: t + 1455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 59. Suppose 0 = -4*l + 2 - 6, 2*l + 2 = -5*d. Suppose d = -5*q - o - 66 + 195, 0 = 5*q - n*o - 135. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133555 is divided by 346?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, -1\/310, 4, -4, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2301*m**4 + 100*m**3 - 16487281 wrt m?\nAnswer: 9204*m**3 + 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ettteetttettttte?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 8744. Let b(i) = i. What is b(k(f))?\nAnswer: 2*f + 8744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvfv when four letters picked without replacement from fffvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 44. Let i(u) be the third derivative of 1\/24*u**4 + 0*u**5 + 3*u**m - 1\/40*u**6 + 0*u + 0*u**3 + 0. What is the second derivative of i(s) wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1571034 + 2491777. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65439 by 1.\nAnswer: 65439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3555)\/1975*((-20)\/4)\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007283 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 2*k = 80. Let b be ((-2)\/(-10))\/((-1)\/k). Solve -3*h + 20 = h + 4*l, 4*h = b*l + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 7*d**3 - 10*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -20\/20483?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 20 + 1 + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:04 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371204 (base 9) in base 2?\nAnswer: 110111011111010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800*z + 188226 + 430458 = -778*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 1. Let z(h) be the second derivative of 0*h**3 + h**2 - 1\/3*h**4 - 11*h + 0. Let g(v) = -2*x(v) - z(v). Let y(w) = 24*w**2. Calculate y(g(q)).\nAnswer: 96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 - -173. Let i(b) = w*b - 114 + 128 + 3*b. Let r(t) = -3*t - 9. Give -5*i(v) - 8*r(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t - 296. Let x = 43 - t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1422, -6014, -13658, -24348, -38078, -54842, -74634, -97448?\n\"Answer: f**3 - 1532*f**2 - 3*f + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.506824 hours in nanoseconds?\nAnswer: 1824566400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*b**2 + 70*b**2 + 30*b**3 - 23*b**2 + 137*b**3 - 56*b**2 in the form f*b**3 + c + y*b + x*b**2 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*a**2*x**2 - 3*a**2 - 541*x**2 wrt a?\nAnswer: -38*a*x**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46614, -93246, -139902, -186594, -233334, -280134, -327006, -373962?\n\"Answer: -2*s**3 - 46618*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 79*o - 96. Does 9 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1970, 1635, 1302, 971, 642?\n\"Answer: p**2 - 338*p + 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 244905*y + 540824170.\nAnswer: 5*(y - 46663)*(y - 2318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2114*u + 320*u + 55614 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 5, v: 1}. What is prob of picking 2 x and 2 n?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1142197 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12018 + 16819. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3449.9 - -3450. What is the nearest to t in 2\/7, 1, 0.3, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4391620?\nAnswer: 2, 5, 23, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/9 + 31210*u**2\/9 - 4524686*u\/9 + 54920674\/3 = 0. Calculate u.\nAnswer: 73, 15459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1399, -1395, -1391, -1387, -1383?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 61*x - 657. Calculate g(14).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 6*z + 7. Let p(m) = m + 27. Suppose 0 = -6*x - 129 + 9. Let l be p(x). Suppose l*o = -3 + 45. What is c(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*o)*(-257*o**2 + 367*o**2 - 628*o**2).\nAnswer: -1036*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.41*23854\nAnswer: -9780.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -25*q + 2. Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 0 + 1\/2*i**4 + 63*i. Determine y(d(g)).\nAnswer: 3750*g**2 - 600*g + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3673.9 - 3674. What is the nearest to 2 in 63\/4, 2\/5, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(52) + ((sqrt(208) + sqrt(208) + sqrt(208)*-2 - sqrt(208)) + sqrt(208) + sqrt(208) - sqrt(208))))\/(sqrt(256)*-1 + -1*sqrt(196))*-2.\nAnswer: 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 17424 = -5*q, -157*x + 152*x + 3476 = q. Does 69 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 446\/27 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -2864, 407.\nAnswer: -2864, 7\/3, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339212263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 17. Suppose -s + 4*s = -b. Let m(l) = -5*l + 4*l**3 + 2*l**2 + 2*l**2 - 3*l**3. Calculate m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j**4 - 2*j)*(103 + 129 - 49).\nAnswer: 366*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g**3 - 2*g + 1. Let l be t(1). Suppose 7*z = l*z - 25. Let b = 4 - 2. Solve 4*r + z*o - 9 = b*r, -4*o + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 + -213. Suppose -2*m = d*k - 15 - 7, 5*m = -2*k + 22. Solve -c - 10 = 4*c - 5*q, 5*q = -2*c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 = 40*c + 178. Let h = -2 + 5. Suppose g = r - 29, 3*g - 33 = r - h*r. 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 v(p) = 9*p. Let y(i) = 45867*i**2. Give y(v(l)).\nAnswer: 3715227*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 10, j: 1, m: 3, x: 2}. What is prob of sequence qj?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -559*c + 693?\nAnswer: -559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7587, 7596, 7615, 7650, 7707, 7792, 7911, 8070?\n\"Answer: n**3 - n**2 + 5*n + 7582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208937 divided by -113.\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 25. Suppose 38*n + 280 = 3*n. What is k(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 20 = 4*r, -3*r - 5*o + 32 = 0. Let y = r - 2. Suppose 14 = u + 2*i, -4*u + 3*i = 1 - 2. Solve u = 2*l + y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g - 1. Determine n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/19593 and -1\/100142?\nAnswer: 901278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-22)\/s*s**(-2\/35)*(s\/(s*(s\/(s\/(s**31\/s)*s))\/s))**(3\/2))**(-3\/31) assuming s is positive.\nAnswer: s**(6726\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -11*v + 0 - 21\/20*v**5 + 0*v**4 + 0*v**2 - 7\/2*v**3. Find the second derivative of o(y) wrt y.\nAnswer: -126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmm when three letters picked without replacement from ppmppppmmppppppp?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*d + 3*d**3 + 4*d**3 - 8*d**2 - 599*d - 2*d**3 - 3*d**3.\nAnswer: 2*d**3 - 8*d**2 - 966*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -157003 (base 8) in base 11?\nAnswer: -39779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3358 = 94*h + 2324 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (94\/470)\/(1\/10). Factor 2\/3*f - 2\/3*f**3 + 1\/9*f**s + 0 - 1\/9*f**4.\nAnswer: -f*(f - 1)*(f + 1)*(f + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 205000 = -832167. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506339 to the power of 1\/2, to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/60 - 7*u**4\/8 - 107*u**3\/6 + 57*u**2 + 5. Calculate x(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*x - 15, 4*n - 28 - 32 = 4*x. Is (1*14966\/(-35))\/((-6)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*k + 544*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -59*c + 7. Calculate l(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 5828689*u**3 - 5828660*u**3 + 0*u.\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:50 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20))\/((-3)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/50, -1\/5, -6\/5, 5, -2?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**3 + 4*k - 17. Differentiate l(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309317027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:45 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 0.122 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -683, 442\/3 in increasing order.\nAnswer: -683, -1, 1, 442\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 696760 rounded to the nearest one thousand?\nAnswer: 697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -304*m - 2\/9*m**3 - 146\/9*m**2 - 288.\nAnswer: -2*(m + 1)*(m + 36)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*-113\nAnswer: -16.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*x - 193*x - 181*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207458651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -113261\nAnswer: 339783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1 + 120\/6. Let k = w - 8. What is the remainder when 39 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 5 - 4 + 3*t + 2. Let i be w(-4). What is the second derivative of -i*l + 0*l**3 - l**5 + 4*l + 0*l**3 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 77 - 13 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - 5*g)*(-2 + 0 + 1)*(3*g - 6*g + g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**2*x**2 - 1744*r**2 - 350*x**3 wrt x?\nAnswer: 2*r**2*x - 1050*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 2*o + 2*n, -n + 13 = 2*o. Suppose -3*a + 7*a - 2 = -3*q, 4*a - o = -q. Suppose 0 = 3*i + a*i - 4550. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322552 + -5?\nAnswer: 322543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6403 from 20.\nAnswer: 19.3597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157 - 157 - 5*a**2 + (3*a - 6*a + 2*a)*(2*a - a - 3*a))*(0*a + 4*a**2 + 0*a).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 23 = -p - 2*s - 25, -3*p + 205*s - 192*s = -274 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.39329 and 1?\nAnswer: 1.39329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -3*u + 6*u, 2*u - 5*p = 4. What is the third derivative of 0*l**4 + 0*l**2 + l**2 - 3*l**4 + u*l**4 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1631.3932 - 1539.49. Let l = d - 91.3. Let q = -0.6 + l. What is q rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*q = -252*q - 85*q - 18430 + 68155 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyysssys. Give prob of picking 2 u and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 8:58 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1260, 5158, 11690, 20856, 32656, 47090?\nAnswer: 64158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**5\/2 - 55*y**4\/8 - 65*y**3\/3 - 20*y**2 - 94. Solve h(l) = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(((-231)\/385)\/((-18)\/20 - -1)). What is the closest to 0 in i, -480, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3))**44)**(4\/23)*(((k**(3\/8)*k)\/k)\/(k*k\/(k*k**9*k)))**(-20\/7) assuming k is positive.\nAnswer: k**(-20947\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9199048 rounded to one dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 2. Let v(y) be the third derivative of -y**5\/60 - y**4\/12 + y**3\/6 - 36*y**2. Determine v(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 494176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 1622549888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 7*t**3\/6 + t**2 - t. What is the derivative of g(i) wrt i?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16567 is divided by 259?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*141*(50\/(-15) + 3). Let r = k - -50. Suppose 0 = -h - r*b + 63, -3*b + 94 + 158 = 4*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 26, -2\/11, -2 in descending order.\nAnswer: 26, -2\/11, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -37*d**3 - 2*d + 3. What is g(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 1\/((-38)\/(-72)). Suppose -2*h = -3*p + 2*h - 17, 5*p + 3*h = 20. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -54.98.\nAnswer: -4.9482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 19*h + 10. What is the remainder when s(-15) is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2 - 3 + 2*j**3 + 6 - j**2 to the form d*j**2 + z + o*j + g*j**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -303, -298, -289, -276, -259, -238?\n\"Answer: 2*z**2 - z - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:14 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**2*j**2*s - 2*c**2*j**2 + 15*c**2*s*w**2 - c*j*w + 2*c*s*w**2 - 15*j**2*s*w**2 - j*s*w - s*w**2 wrt j.\nAnswer: 8*c**2*s - 4*c**2 - 30*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 2:13 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n = 12. Let g be (-6*(-4)\/n)\/1. Let p = -53 - -58. Put p, g, -2 in decreasing order.\nAnswer: p, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, -0.5, -0.2 in increasing order.\nAnswer: -148, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 535, 723, 859, 943?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 5, d: 8}. Give prob of picking 2 d and 2 n.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzg when three letters picked without replacement from gzgvvvvsgvssggvgv.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 18 = 2*x, 2*x + 1 = -4508*q + 4507*q - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34339 and 244852.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = 167*y - 86 + 261. Let u(i) be the third derivative of i**6\/20 + 2*i**3\/3 + 13*i**2. Let f(p) = -p**3 - 1. Determine y*u(l) - 12*f(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 + 112\/(-35) + 5. Sort -6, 5, f, -5 in decreasing order.\nAnswer: 5, f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2924 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11340*v - 25036 = -11344*v. What are the prime factors of v?\nAnswer: 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 21. Let z be v\/2*(-56)\/(-3). What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 579. Calculate p(-66).\nAnswer: 1437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/((sqrt(12) - sqrt(48))\/sqrt(6)))\/(sqrt(40)\/sqrt(324)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675985 + -3181185383\/4706. Find the common denominator of -55\/8 and s.\nAnswer: 18824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 584639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 288*q\/11 + 846\/11.\nAnswer: 2*(q + 3)*(q + 141)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-92)\/5)\/(609\/(-30)). Let q = h + -18\/29. Which is the nearest to 0.02? (a) 3 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2*t - 2*c, 9*t + 192 = 6*t - 3*c. What is the least common multiple of 22 and (-1971)\/(-12) - (-16)\/t?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 - (-623)\/49. Let m = a - -7. Calculate the least common multiple of 2 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose -3*s + 288 + 150 = w*m, 2*s - 285 = -5*m. Suppose -5*g = -3*j + s, j + 2*g - 50 = g. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323329 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = -4*i + 2*i. Suppose -12 = -6*u + i. Suppose 2*q - 2*t = -6*t + u, -4*q = 5*t - 123. What is the remainder when 52 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97347 * 0.9289.\nAnswer: 90425.6283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x - 9 = 0. Let a(l) = l**3 - 7*l**2 + 12*l - 9. Let w be a(5). Does 15 divide -1 + (-93)\/(x\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 15 = 3*f. Let b(k) = -k**2 - 5*k. Let v be b(f). Suppose l = -5*x + 261, v = -4*x - 2*l + 160 + 44. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1104389, -2208035, -3311671, -4415291, -5518889?\n\"Answer: a**3 - a**2 - 1103650*a - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + -5 + 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 604 divided by -4\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -0.2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 968466 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07922? (a) -3\/2 (b) -1\/8 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/34*2\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 - 226. Let q(t) be the first derivative of -t**3\/3 + 5*t**2 + 86. What is q(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 7*r**2 + 5*r + 41. Determine i(9).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.7 + 54. Let o = x + -0.3. What is the third biggest value in o, -0.4, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let m(a) = a - 1. Let f(o) = -3*o**2 - 5*o + 4. Let v(g) = -f(g) - 4*m(g). Determine v(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175\/36 + 46\/9. Sort -5, 2, b in increasing order.\nAnswer: -5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47612*q**3 - 4 + 4 - 46271*q**3.\nAnswer: 1341*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 2478608587 = 450608587. Round v to the nearest one million.\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/10)\/((-195)\/41925). Suppose -r*y + 14*y = -17*y. Suppose 5\/9*l**4 - 2\/3*l**3 + y*l**2 + 0 + 0*l + 1\/9*l**5 = 0. Calculate l.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryyuyyyyrtyutytyu. Give prob of picking 1 r and 1 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 5*t - 9*l + 5*l, -3*l - 354 = -5*t. Calculate the greatest common factor of t and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 - 11. Suppose -x + 3 + 5 = 0. Suppose -3*q + x*t + 168 = 5*t, 176 = 3*q - 5*t. Calculate the remainder when q is divided by s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -169, -3\/4, -3, 6, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0 + 4*x**2 - 234*x**3 - 3*x - 3*x**2 - 2. Suppose 158*p = 161*p + 6. Let w be n(p). Round w to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 12024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.21 - -0.21. Let c = f - -15.1. Let m = c - -1.1. Sort -0.1, -4, m.\nAnswer: -4, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 375 - 374.77. Sort -4, 2\/11, g, -1 in increasing order.\nAnswer: -4, -1, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**10*w)*w**(-2)\/w)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18858 a multiple of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + (11 + -7 - -1) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(7\/15))\/(120\/(-128)*160\/360)?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4, 0.4, -0.109 in ascending order.\nAnswer: -26, -4, -0.109, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 3, o: 6, x: 1, p: 1, c: 5}. Give prob of picking 1 p and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 158 = 2*y, -669*l - 3*y = -664*l - 391. What is the highest common factor of l and 3366?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/18 and -43\/662.\nAnswer: 5958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 11, k: 1, j: 5}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*h - 4*o + 6, -2*h + 2 = 4*o. Let r = -146 - -222. Let k(w) = r + w + w**2 - 35 - 41. What is k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*v - 101 = 0, -2*v + 4*v = 5*g + 577. Let h = -58 - g. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 3128\/(-272) + 2\/((-4)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + (-10 - 10) - (1 + -10)) + -52\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(75\/(-2)) - (4 - 232\/20). Solve -4*j + 0 = v, 3*n - 3 = -3*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46.6 and -317847245.\nAnswer: -317847198.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19807898 and 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 10. Suppose -s*b = -5*a - 142, 2*b - a + 21 - 147 = 0. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*n**3 + 106*n**3 - n**2 - 290*n**3 + n + 49*n**3.\nAnswer: -338*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-558)\/(-837)*(-3)\/160*4?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/120 + 9\/40. Which is the fourth biggest value? (a) -0.3 (b) 2 (c) -4\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 - 3. Let m(n) = 6*n + 36. Let b be m(-7). Is 13 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.3.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -5\/3 (c) 1\/5 (d) 21 (e) -5 (f) 18 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211210 (base 3) to base 11.\nAnswer: -50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/112 and -1\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 64 = -13*j. Let v = j + 50. Suppose -v = 3*p - 451. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.5028897 rounded to 1 dp?\nAnswer: 116.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15326 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*t**2 - 354 wrt t?\nAnswer: 260*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564 and 7.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -910883.\nAnswer: 1\/910883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 44 = 4*h, 7*s - 62*h + 25*h + 15*h = -24*h - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -5\/3, 0.4, -218, -283?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/((-4)\/156*2). Let f be ((-1938)\/21)\/1 - (-8)\/28. Let v = f - x. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-27)\/(-123)) - (-1)\/3. Suppose -3*z = -4*s + 9, -3*s - 4*z + y = z. Put -4, 5, s in decreasing order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:23 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y - 4 + 13*y - 25*y)*(4 + 0 - 3).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/5, 45\/2, -2, 3\/7, -1.4 in ascending order.\nAnswer: -5, -2, -1.4, -4\/5, 3\/7, 45\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*l - 394*l = -7035*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-8))\/(18\/(-12)*2\/(-12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93437 and 1271323?\nAnswer: 532684337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -1\/6*h**4 + 0*h + 1\/30*h**5 + 4*h**2 - 1\/35*h**7 + 1\/15*h**6 + 0 + 0*h**3. Factor k(f).\nAnswer: -2*f*(f - 1)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 + 4. Let g be s(5). Let w(q) = -2*q**2 - q**2 - 5 - 9*q + 2*q**2. Let o be w(-7). Solve 5*d + 18 = -f, 0 = -4*d - g*f + 1 - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*x + (7 + 5 + 5)*(-x + 0 + 0) + 5 + 2*x - 5.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:05 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-15*6\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*c - 9 = 0, -y - c - 3 = -2*y. Suppose -4*w + 3550 = -2*i, -y*i - 4448 = -5*w - 4*i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120\/36*5373\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9201*i**3*w**3 - 2*i**3*w**2 - 3*i**3 + 2*i**2 + 2078*i*w**4 + 4026*w**2 - 11 wrt w.\nAnswer: 55206*i**3 + 49872*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)*(-1 + -249). Suppose 2*r + t = 7*r. Solve 2*m - 20 = 2*z, -z + 5*m + 20 - r = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/7248 and -71\/560?\nAnswer: 253680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 4*j**3 + 533 - 1062 - 3*j**4 + 520 as l*j**4 + n + i*j**2 + r*j**3 + p*j and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**9\/56 - d**5\/3 - 6*d**2 - 22*d. Let u(a) be the first derivative of l(a). Find the third derivative of u(q) wrt q.\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(2*sqrt(76) + sqrt(76))*6)\/((sqrt(8) - (sqrt(8) + 5*-2*sqrt(8)))\/((sqrt(128) - -1*sqrt(128)) + sqrt(2))).\nAnswer: 306*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*d = 115*d + 7116. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1505450 divided by -752725.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(-h + h - 2*h) - 77*h - 89*h + 15*h - 5*h + 4*h + 0*h + (-2 - 2 + 7)*(3*h - 3*h + h) as j + v*h and give v.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 != -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*s - 870, 5*s = 3*i + 8*s - 651. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/(-25)*(-6 - 17479\/21) is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c**4 + 1965*c**3 + 3060*c**2 - 1540*c = 0 for c.\nAnswer: -77, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170668 - -1?\nAnswer: 170669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -8. Let r be 2\/4 + (-33)\/(-330). What is the nearest to -0.1 in -0.2, w, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -174*i + 1770. Let m be c(10). Calculate the highest common factor of m and 1010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.665 - 1.765. Which is the nearest to i? (a) 1\/3 (b) 0 (c) -4\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 13 - (-110 - -6).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 10*q - 37. Let i be r(-13). Let t(k) = -k**2 - 5*k - 1. Let w be t(-4). Which is the second smallest value? (a) w (b) -0.2 (c) i (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4464 and 664319088.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13546795 divided by -2?\nAnswer: -13546795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8441 - 8462. Suppose 2*a + n = 8, 2*a + a - 11 = -2*n. Let y(u) = 12*u**2 + 21*u + 21. Let x(g) = 3*g**2 + 5*g + 5. Determine a*y(c) + v*x(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1829 - -1779. Sort -16, 0.3, l, -3.\nAnswer: l, -16, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/648 and 79\/15.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 9:28 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -22354550.\nAnswer: -7\/22354550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/160 and -83\/5824.\nAnswer: 29120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 22*w + 12. Let h(u) = 135*u + 75. Let r(x) = 25*d(x) - 4*h(x). Let b(c) = 46*c**2. What is b(r(s))?\nAnswer: 4600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**27\/f)\/((f*f**(-15)\/f*f)\/f))**(-3\/17) assuming f is positive.\nAnswer: f**(-123\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 723817 to the power of 1\/2, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1500*s**4 - 4*s**3 + 4*s**2 - s + 55449?\nAnswer: -6000*s**3 - 12*s**2 + 8*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7*h - 28 = 18*h - 59*h + 121, 2*m + 3*h = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((96\/(-5))\/(-8))\/(12\/30). Let i(d) = -2*d + 3. Let s(b) = 12*b - 17. Determine u*s(t) + 34*i(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50345846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.469 - 7.749. Let a = x - -7.38. What is the closest to -0.3 in a, -2, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(153) + 1) - -3*-1*sqrt(153)))**2 - (sqrt(102)\/(sqrt(6)*1*6 - sqrt(6)) + 2)*6.\nAnswer: -546*sqrt(17)\/5 + 5505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/2)\/c**(-3)*(c**2)**(2\/9) assuming c is positive.\nAnswer: c**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - 41*p - 57. Let g be c(9). Which is bigger: -735 or g?\nAnswer: -735","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13147 - 7758. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(112\/624 - (-4)\/26). Solve -4*k + u*k + 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128510829 to the nearest integer?\nAnswer: 11336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 - 21 = 3*m, 5*m + 20 = 0. Suppose -6*v + 2908 = 2*b - 4*v, v = h. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 9*f + 5. Let u be k(3). Solve 3*w - 17 = u*n, -4*n + 4*w + 2 = 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**3\/6 + 3*o**2 - o. Let w be f(-6). Let g = 0.109 + 0.091. What is the second smallest value in g, 3\/2, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -16, 85*l - 90*l + 172898 = 3*t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/386, 0, 0.3, 13, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 9*d - 6. Suppose 62*i + 112 = 76*i. Calculate r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbildmvd. What is prob of sequence lmvd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 + 10. Let a(w) = 7*w**2 + w - 11. Let m(c) = 4*a(c) + 5*f(c). Solve m(h) = 0 for h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2124 - 24?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 188*r = -189*r - 5, 3*h + r = 3. Solve -21*v = -h*v - 76 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80393.31 nanograms in kilograms?\nAnswer: 0.00000008039331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 6. Let a be y(-5). Let g(t) = t - 13. Let f be g(16). Suppose 10*c = 39 + 11. Solve -f*q - a + 5 = -3*d, 5*d - 5 = -c*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21931\/24 - -2741\/3. Which is the fourth smallest value? (a) k (b) -93 (c) -0.1 (d) -0.03 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22*l + 11*l - 1 + 4*l**2 + 0*l**2 + 10*l. Determine x(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.3 * -7.\nAnswer: 114.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6*f = 26, 3*w + 2*f = -153 + 163 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35500298 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5823519 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(5*d + 0*d - 3*d) - 14893*d + 31 + 22 - 17894*d + 30 - 83.\nAnswer: -32791*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 256136*-61\nAnswer: -15624296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -26.8. Let j = -12.7 + 13. Which is the second biggest value? (a) -2 (b) o (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 148. Let s(v) = f*v + 3*v - 4*v + 9*v - 5*v. Let c(h) be the second derivative of -h**4\/6 + h. Determine c(s(d)).\nAnswer: -648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**3 + i**2 - 3*i + 2. Let v be n(1). Let s(l) be the second derivative of l**4\/6 - l**3\/2 + 5*l**2\/2 + l. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/16*78*4. Let k = d + -68. Sort k, -2, 4 in decreasing order.\nAnswer: k, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -48\/175 (b) -4 (c) -3\/8 (d) 0.5 (e) -1\/2 (f) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4 + 7*k**3 + 366*k**2 - 5208.\nAnswer: -4*k**3 + 21*k**2 + 732*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 7*v - 70. Suppose 3*n - v = -7*n. Let h = -12 - -7. Put n, -1\/3, h in ascending order.\nAnswer: h, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 1\/4 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 12*t + 6 + 46 to l*t + k and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.444108269 to 4 dps.\nAnswer: 0.4441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -43. Suppose 2*w - 2*p = k - 11, -3*w + 5*p = -73. Suppose 2*s - s = w. Calculate the greatest common divisor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5746*k**2*l**3 + k*l**3 - k*l + 8*l**3 + 1 wrt k.\nAnswer: -11492*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = j, 23 = 2*j - 5*u + 38 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/9)*i)\/i)\/(i*i**3))\/(((i**4*i)\/i)\/(i*i*(i\/(i*i**(-2\/7)*i)*i)\/i*i)) assuming i is positive.\nAnswer: i**(-311\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -224209.6497829 and -5?\nAnswer: 224204.6497829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.15 - -13. Let f = 0.15 + u. Which is the smallest value? (a) 1 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17162 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55264 (base 9) in base 7?\nAnswer: -211624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4539988704 + 15*b + 4539988704.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + u + 2 - u. Let s(t) = -t - 5 - 1 + 3 + 4. Let n(x) = b(x) - s(x). Differentiate n(y) with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*m - 152 = 136*m - 305*m. Which is the closest to -1? (a) -0.4 (b) 0.3 (c) m (d) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348 = 24*v + 180 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 3?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40139229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49283650.08 less than 0.08542?\nAnswer: -49283649.99458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.151 * -0.039.\nAnswer: 0.005889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {i: 2, r: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/12, -34, 33 in increasing order.\nAnswer: -34, -25\/12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 130*n\/3 + 248.\nAnswer: (n - 124)*(n - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43822656?\nAnswer: 2, 3, 76081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*m - 351. Is -37 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -4 (c) -11 (d) 2\/7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -202032 (base 4) to base 6\nAnswer: -14050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omoomfzifffflmmmfii. Give prob of sequence omfz.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429550857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9199 take away -609281?\nAnswer: 609281.9199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 7. Let a be p(5). Let j = a + 14. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.3 - 0.7. Let d = 840.1 - 840. Which is the closest to d? (a) g (b) 0.4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(102) - -2*sqrt(102))\/sqrt(6) - sqrt(17)) - sqrt(102)\/((-5*sqrt(384) - sqrt(384)) + sqrt(6)).\nAnswer: 377*sqrt(17)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - o = -2, 2*t + 3*t + 18 = 3*o. Let c be (t + 0)*(-3)\/6. Suppose -5*r = -c*j + 4*j - 280, 4*r - 245 = -5*j. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-10)\/12 - (-17)\/6. Suppose -c*x + 267 = -126. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -19783787528\/3 - 177433072\/3*y - 1\/6*y**4 - 198916*y**2 - 892\/3*y**3 = 0.\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2787, -2776, -2753, -2712, -2647, -2552?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.96?\nAnswer: 17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiryyrxyyxryxryo. Give prob of picking 1 r and 1 y.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36321276 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 534, 691, 848?\n\"Answer: 157*p + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(275) - (sqrt(275) - sqrt(275)*2*5) - sqrt(275) - (-2*sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275) - sqrt(275))*4)*-4 + -3))**2.\nAnswer: 27000*sqrt(11) + 8910225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 24387847.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -640*l + 3*l**5 - 4323*l + 19*l**5 + 160*l**5 + 610*l wrt l?\nAnswer: 3640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39926949.\nAnswer: 3, 1531, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**5 - r**4 - r**3 - r**2. Let k(f) = 2*f**5 + 2*f**4 + 10*f**3 + 4*f**2 - 6*f. Let o(y) = 2*k(y) + 6*q(y). Solve o(n) = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x - x - 2*x + 2 - 2 + (-4*x + x + x)*(-6 + 2 + 2) - x + x + x - 16*x + 77*x + x - 6*x + 3*x + 5*x.\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172381520.\nAnswer: 2, 5, 37, 58237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 133, 696, 2229, 5218, 10149, 17508?\n\"Answer: 81*o**3 - o**2 - o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130598659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -952219\/36 + 26452. Find the common denominator of 16\/6057 and f.\nAnswer: 24228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let w(x) be the second derivative of x**4\/6 - 5*x. Determine m(w(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*z + 201*z + 194*z + 186*z + 192*z - 951*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*y + 1 + 3 = 0, 0 = 4*j + y - 5. Suppose 6*f - 29 = j. Let u(o) = -o. Let i(b) = -2*b**3 + 6*b - 3. What is f*u(h) + i(h)?\nAnswer: -2*h**3 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/((-2)\/(-6)). Let x = -3 + n. Let g(b) = b + 13. Let h(a) = -a - 7. Let u(j) = 3*g(j) + 5*h(j). Let l(y) = -1. What is x*u(q) - 5*l(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - h**2 + (-h**2 + 2 - 2)*(-5 - 4 + 1))*(7 - 3 + 0) + (-1 + 1 - 2)*(5*h**2 - h**2 - 3*h**2) to the form m*h**2 + w*h + r and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105035 - 105040.5001. Let w = j - -5.5. What is w rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhhgghhhhhihhhhh. What is prob of picking 2 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and 897237.2?\nAnswer: -27814353.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1122.4 - -1122.8. Sort 7, -7\/11, s, 1 in decreasing order.\nAnswer: 7, 1, s, -7\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 2. Let v(u) be the first derivative of -1\/3*u**3 + 0*u - 47 + 0*u**2. Determine o(v(m)).\nAnswer: 2*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (125\/8)\/(-5))*3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7)*2*(-1)\/(-2). Is u at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3*24\/(-96). Which is the fourth smallest value? (a) -1 (b) 1 (c) h (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/56)\/((-6)\/(-7)). Which is the closest to 12? (a) v (b) 5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 16*y. Suppose y = -4*a - 3*k + 27, a - 18 = -0*a - 3*k. Solve 0 = -c + 1, 2*c - 2 + 0 = a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -779630 + 779641. Let x(o) = o**2 + 16*o + 11. Suppose 2*w + 0 + 4 = 0. Let y(r) = -3 + 3*r + 2 + 3. Calculate c*y(z) + w*x(z).\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9577*c - 13. Calculate q(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3325839, 3325404, 3324967, 3324528, 3324087, 3323644, 3323199?\nAnswer: 3322752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3*w**2\/2 - 3*w - 1. Let t be 1 + 0 + 3 + -3. Let d(v) = -v - 1. Suppose 0 = 705*a - 708*a - 3. Give a*f(p) + t*d(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.8633819 to two dps.\nAnswer: 77.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + 6 + -9 + -32 - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 6*c. Let q be f(6). Let m = 6 - q. Let r(x) = -x**2 - 6*x + 7. Let k(b) = -b**2 - 5*b + 6. Determine m*k(p) - 5*r(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -471032 + 100334.13\nAnswer: -370697.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 72551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 42631260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 21*d - 78. Let v be o(4). Let a(t) = t**3 - 6*t**2 + 2*t - 7. Suppose 0*u + u + 15 = 3*g, 3*u + 3 = 2*g. Let h be a(g). Does h = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 12:45 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*z - 5*s, -6*z = -5*z - 4*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7616311ng in milligrams?\nAnswer: 0.0000007616311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 9*d**2 - 5*d - 16. Is x(-10) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(39\/(-2)))\/((544\/32)\/(-442))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -294283?\nAnswer: -294287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -4, -560, -1293, -5 in increasing order.\nAnswer: -1293, -560, -5, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 5*y + 16. Give u(7).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*34\/(-119)*77\/(-44).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1478316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - d = -5, -4*k - 2*d + d + 5 = 0. Let x(v) = v**3 + v**2 + v + 17. Calculate the remainder when 32 is divided by x(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539, 3, -2, 2, 4, 23, 5 in decreasing order.\nAnswer: 539, 23, 5, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 2*r**2 + 4*r**2)*(3 + 2 + 1) in the form y*r**2 + j + a*r and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - p**2 - 12*p**3 + p**2 - p**2 + 11*p**3 in the form b*p**3 + m*p**2 + l + f*p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.12 - -3.32. What is the third smallest value in -5, m, 6, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/3 + 39936650*n\/3 - 398734003305625\/3 = 0.\nAnswer: 19968325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Suppose 4*g = -0*g + 8. Let b(d) = -3 + 2*d**g + 3. Calculate b(k(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337032684.\nAnswer: 2, 13, 353, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n + 366. Let y be p(0). Suppose -2*b + y = -462. What are the prime factors of b?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -564206684*p**2*z**3 + 1068*p + 99969*z**3 - 2*z**2 wrt p.\nAnswer: -1128413368*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*f + 50. Let m(y) = y**2 - y - 1. Is m(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65233?\nAnswer: 7, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - w = -797, -3*c - 873 + 80 = -2*w. Let j = c - 133. Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72.1 and -10416.\nAnswer: -10488.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2793 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -646, -652, -658, -670, -694, -736, -802, -898?\n\"Answer: -q**3 + 6*q**2 - 17*q - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d + 20. Let x(n) = 0*n**2 - 5 - n**2 + 2 + 4*n. Let v be x(d). Put 1, -4, v in increasing order.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**3 - x**2 + 3*x + 4. Let f(z) = -7*z**3 - 2*z**2 + 3*z + 5. Give -2*f(i) + 3*h(i).\nAnswer: -4*i**3 + i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 6*t**5\/5 - t**4 - 22*t**3\/3 + 10*t**2 + 3497. Factor p(q).\nAnswer: 2*q*(q - 1)*(q + 2)*(3*q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1529, -6130, -13803, -24542, -38341, -55194, -75095, -98038?\nAnswer: -124017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - ((-19 - -9) + -14 + 47)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 6. Let j = 0 + -8. Let c be w(j). Solve c*m - 5*g = 3*m - 5, 13 = -m + 4*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n**2 - 4*n + 13. Let w be y(4). Suppose -9 = 4*z + 2*i - w, 5*z - 20 = -5*i. Let j(h) = -3*h. Let p(m) = m. What is z*j(g) + 15*p(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54249139?\nAnswer: 7, 47, 181, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488615659, -488615658, -488615657?\nAnswer: -488615656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let i = -131.4 + 129.318. Let h = -0.082 - i. What is the closest to 0.1 in b, h, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.16, -14 in descending order.\nAnswer: 1, 0.16, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(-2)\/g)\/g*g)*g*(g**(3\/2)*g)\/g)**(-2\/57)*(g**(2\/5)*g**(-2)\/g)**(3\/2) assuming g is positive.\nAnswer: g**(-2333\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-105*h**3 - 28*h**3 + 36*h**3).\nAnswer: 194*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 5*x + 1. Let f(r) = 1. Let m(i) = -5*f(i) + u(i). Calculate m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*142\/4 - 2. Suppose -115 - g = -2*r. Suppose -i + 20 = -2*v + r, -5*v - 4*i = -206. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*g**3 - 79*g**2 + 79*g**2 - 1082*g**3.\nAnswer: -1472*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 18. Let v = 183 - 138. What are the prime factors of (v\/3)\/(3\/g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 6. Let o = 10 - x. Which is the third biggest value? (a) 5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) + (-110)\/9. Let g = y - -17. Let c(k) = k**3 - 3*k**2 + 5*k + 4. Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 22*d + 172. Let m be x(-6). Solve -2*p + 21 = 5*l, m*p + 4*l + 9 = 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1405, -0.3, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/5 + 2834*l\/5 - 2829 = 0.\nAnswer: 5, 2829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 9*a - 28. Calculate n(-4).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**4\/24 + 5*g**3\/3 + g**2. Suppose -26*u + 6*u = 120. Calculate a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2447 or 9336\/11?\nAnswer: 9336\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87203.3um?\nAnswer: 0.0000872033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - i - i - 9*i + 6*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/(-23))\/(5\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 2, k: 1, b: 4}. Give prob of sequence bbsb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818661 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10159, 4, -1.\nAnswer: -10159, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, -16, -1.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 527 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 36. Suppose -2 = -t + q. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6783016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1751098*k*y**5 + 2*k*y + 1237466*k + 2*y wrt y?\nAnswer: 35021960*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/2340 - 2*h**5\/195 + 4*h**4\/39 - 2*h**3\/3 - 6*h**2. Let v(d) be the first derivative of q(d). Find i such that v(i) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7 + 2 - -16)*11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -1763 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffwj when four letters picked without replacement from {j: 2, w: 3, f: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3578*m**2 - 535*m + 535*m.\nAnswer: 3578*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5 = -v. Let s be 0\/((8 + v)*2\/(-3)). Suppose 5*c - c - 140 = s. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d - 55. Let y be v(3). Sort y, 1\/12, 65, -1 in decreasing order.\nAnswer: 65, y, 1\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 143215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/671845 - -9143273002\/4702915. Let w = -1944 + k. Find the common denominator of w and 117\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (8 - 4) + -254 + 249.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 1504, 3583, 6514, 10309, 14980, 20539?\nAnswer: 26998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1837 - -11009\/6. Let l = 0.255 - -0.045. Sort a, 1, l.\nAnswer: a, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = -8*i - 5*d, -i = d + 3. Let z = 58367\/152 + -384. Are z and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34587.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 27, 50, 71, 84, 83, 62, 15?\n\"Answer: -i**3 + 8*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 56 = 2*j, 5*b = -0*j - 2*j + 131. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67652651 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 69. Let j = 36.2 - 36. Which is the second smallest value? (a) w (b) 99 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360187533 to the power of 1\/3, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*x - 5*m + 130, 77 = 5*x + 4*m - 41 + 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16626 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 191161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:27 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - (-1)\/3. Let v(s) = 0*s + 0*s + 4*s + 3*s. Let k(f) = 15*f. Let z(n) = -6*k(n) + 13*v(n). Let j(o) = -7*o - 1. Give r*j(x) + 5*z(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (8 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:35 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 8*z + z**4 - 7*z)*(-z - z + 3*z).\nAnswer: z**5 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b66714?\nAnswer: b6670c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/(4\/(8\/3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/2 - 1229*f\/2 - 615 = 0.\nAnswer: -1, 1230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17513800 divided by -2680?\nAnswer: 6535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2, -2*a - 11*f + 102 = -6*f. Calculate the highest common factor of 182 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 53*r - 63. Does 23 divide j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1655 and -2.\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -4*f - 12*s + 1, 15 = -5*s. Suppose 0 = -4*y + 2*h + 4, -13 = -f*h - 5. Solve y - 6 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**4 - 1005677*w**3 - 3198*w**2 + 194*w wrt w.\nAnswer: -48*w - 6034062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3 - 21. Suppose -3*b - 2*f = -98, 3*f = -0*b + b - t. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m**2 + 47*m**2 + 48*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 75 = -13*d. Let o be 550\/26 + 28\/(-182). Solve o*m + 16 = d*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 53?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122724*g**4 - 297918 wrt g.\nAnswer: -490896*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000402677 rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 - 8913*r - 17829\/2.\nAnswer: 3*(r - 5943)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2360*g + 2371*g + 5*y = -19, g + 17*y = -101 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*s**2 - 10*s**3 - 17*s**2 - 16*s**3 - 19*s**2.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4261, 4826, 5389, 5950, 6509?\nAnswer: 7066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = 0. Let u = w - -2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**3 - 15*l**2 - 5*l. Let m(x) = 6*x**3 - 8*x**2 - 3*x. Let v = 912 + -905. Suppose 3*y = 5*a, -y - 3*a = -7*a - v. Calculate y*m(n) + 3*q(n).\nAnswer: 3*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725732732 a multiple of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r + 3972731 + 1029929 = 317*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-9)*(-24)\/8. Let p(x) = -2*x - 4*x - 2 + 8*x**2 + x + 112*x**3 - 113*x**3. Determine p(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*p + 115, 5*p - 109 = -4*v + 19. Suppose -3*q + 52 = 3*w + w, w + 82 = 4*q. Solve -2*z - 4*j = v - 7, 0 = z + 4*j + q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2978.\nAnswer: -5\/2978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 16*k**2 - 7*k - 149. What is the remainder when 393 is divided by a(17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 491865?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 661.61 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/7 + 204*b**2\/7 + 2614*b\/7 - 23460\/7 = 0.\nAnswer: -85, -23, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c - 5. Let g be n(-4). Let w(u) = u**2 + 3*u + 3. Let k be w(-3). Suppose k*f = 3 + 6. What is the greatest common factor of f and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 + 682*c\/9 + 780.\nAnswer: -2*(c - 351)*(c + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11401, -10212, -6999, -748, 9555, 24924, 46373, 74916?\nAnswer: 111567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*c**4 - 2 + (141*c + 6 - 18*c**3 - 141*c)*(-2*c + 0*c + 4*c).\nAnswer: -34*c**4 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a (base 16) in base 15?\nAnswer: -934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 289.1853 * -0.5\nAnswer: -144.59265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 87, 193, 339, 525?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -141140909 - -0.8\nAnswer: -141140908.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 21*p - 13*p - 10*p)*(23*p + 14*p - 43*p).\nAnswer: 12*p**2 + 246*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpswwvprxwww. Give prob of sequence rx.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*l + 22 = -0*l, -4*y + 2*l = 34. Let d(f) = f + 2. Calculate d(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - d - 10*d + 0*d - 30.\nAnswer: -11*d - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -834 + 915. Calculate the remainder when d is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 705*u - 14402. What is h(-22)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37795973 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/12 + ((-45)\/20)\/3. Suppose -4*a - 12 = 0, s - 6*s + 339 = i*a. Suppose 0 = -5*x + 3*w + s, -11 = -x + w + w. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-1286252\nAnswer: -14148772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-64)\/(-144))\/(14\/441). Solve -x*y + 12 = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 11501.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 - 2. Let c be d(2). Suppose i + 4*u = c, 47 = 2*i + 5*u - 4. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 269*a + 16278. Calculate z(-61).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127579747*f + 90862932 with respect to f.\nAnswer: 127579747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(363) - (sqrt(108) + sqrt(108) + sqrt(108) + 1 + sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4) + -3 + sqrt(3)))**2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjjjrcfrwjrjtjjrjjj. What is prob of sequence rwf?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let u be q(7). Suppose -5*g + u*g = 93. Is -2*g\/6*-9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2203870 + 196.\nAnswer: -2203674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75115920 is divided by 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 9 + 563*r - 272*r - 293*r - 12.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 1202\nAnswer: -14424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 + g - 1. Let b(l) = 84*l**4 - 11*l**3 - 55*l**2 - 590*l - 11. Let x(u) = 4*b(u) - 44*h(u). Find the second derivative of x(v) wrt v.\nAnswer: 4032*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430680192.\nAnswer: 2, 929, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9744.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/12 (b) 0.4 (c) -3.25 (d) -2 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*x = 12, 2*x + 0*x = -m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 3, d: 2, l: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*j - 103*j - 171 = 0. Let u be (-19)\/j*(1 + -1). Solve 5*g + u*g - 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 10) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)\/p**0)**(3\/2)\/((p**(-2\/5))**(2\/7)*p*p**4*p*(p\/((p*p**(-3\/2)\/p)\/p))\/p) assuming p is positive.\nAnswer: p**(-597\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188280*i**3*n**3 + 871*i*n**3 - 2*n**3 + 118984*n - 243 wrt i.\nAnswer: -564840*i**2*n**3 + 871*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 3. Let b be z(-2). Suppose 3*c + 2 = -m + 1, b*m - 50 = -4*c. Solve -y - 3*x = -m, y - 5*x = 3 - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108487758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 8. Suppose 2*j - 46 - 26 = 0. Let z be j\/(-9) + (-17 - -1). Calculate the least common multiple of o(z) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 182373862 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38086 times 7\nAnswer: 266602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - l + 3. Let g be j(0). Suppose -2*n + g = n. What are the prime factors of (1 - 0)\/(n\/11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + 16\/6. Let o be w\/5 - (-54)\/15. Suppose 10 = -2*m, -5*m = o*l - 1 - 26. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*((-8723)\/(-13156) + (8\/14)\/(230\/35)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -6.4713939417169?\nAnswer: -6.4713939417169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 21 = 4*f, -a = -3*f - 23. Suppose 5*m + 29 = 2*v, -v - 10 + a = -m. Suppose 242 = 3*t - 22. Calculate the greatest common factor of v and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4 and 67\/1023887244?\nAnswer: 1023887244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*c = -3*c + 5091, 5*g + c - 8479 = 0. List the prime factors of g.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/25)\/(10\/(-25)). Let q = -0.1 + 0.3. Let r = 0 + q. What is the smallest value in l, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkgvbg. Give prob of sequence gvgk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/25 and (-10)\/6 - (-29490)\/22500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from pgpgjgftghghtj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4 - 5) + -244 + -1. What is m rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2 - 133050*q + 266092 = 0.\nAnswer: 2, 66523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134126215 to the power of 1\/2, to the nearest integer?\nAnswer: 11581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g - 20. Let c(x) = x**3 - 1. Let k be c(-1). Let j = k + 2. Solve j*o = o + g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17186 - 17183. Factor -14\/9*b**l - 4\/9*b**2 + 0*b + 0 - 10\/9*b**4.\nAnswer: -2*b**2*(b + 1)*(5*b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-220)\/15) + 3\/((-108)\/51)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 3.981, 7\/20?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 81451 = 3*d, 81446 = 360*d - 357*d + 5*t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*i + 89 = 17, -5*i = -m + 36. Let z be 2\/3*m\/(-48). What is the nearest to 1 in z, -3, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.093468 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:17 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -7*k + 2*k + 12, -4*k + 16 = 4*t. Solve 2*y + 5*f + 2 = -y, -3*f = -t*y - 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/6 - n**2 + 3*n. List the prime factors of u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1617 or -1699?\nAnswer: -1617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1255 + -625. Calculate the remainder when s is divided by 67.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/24)\/((-1)\/(-8)). Suppose -4*x = -3*b + 254, 7*b = 3*b - 4*x + 376. What is the highest common factor of b and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 3, u: 1, j: 1, d: 3, f: 1}. What is prob of picking 2 y and 2 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + -40 + 20 - (-2 + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 5. Let x be a(0). Let d(o) = 4*o**3 - 3*o**2 + 2. What is the remainder when d(2) is divided by (8\/x)\/(12\/(-90))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Suppose -5*o + 16 = n. Let w(j) = -j + 5*j + 4*j**2 + o - 5*j**2. Determine w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249883.1 rounded to the nearest 1000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -340 - -415.1. What is r rounded to 0 decimal places?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 2 + 2)*(5 - 16 + 36)*(-1 + 1 + 8*g)*(-4 - 11*g + 4) to the form u*g + m + z*g**3 + o*g**2 and give z.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 281 - 293. Suppose 5*n = -2*s - 2*s - 36, 0 = -4*n + 4*s. Let u be 38\/(-1 + r\/n). Calculate the greatest common factor of u and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83237062 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28255598963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 - 9904*o**2\/7 - 12280936*o\/7 - 48965408\/7.\nAnswer: -2*(o + 4)*(o + 2474)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f**5 + 8*f**4 + 93*f**3 + 12*f - 37. Let g(m) = -m**5 - m**4 + 1. Let l(h) = -b(h) - 8*g(h). What is the second derivative of l(s) wrt s?\nAnswer: -120*s**3 - 558*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015752545 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/5*1324*-5. Round v to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 - 23104*z + 6227088 = 0.\nAnswer: -6034, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 21*f**2 - 11*f + 16. Let h(a) = a**2 + 2*a + 2. Let b(o) = -2*o**2 - 2*o - 3. Let y(c) = 5*b(c) + 6*h(c). Give -2*r(d) - 11*y(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 - 4*u + 3. What is m(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 4*h - 2. Let w be a(6). Let f(l) = 17 + 3*l**3 - 30*l + 21*l + w*l. Is f(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 343496.8484 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5396761 to the power of 1\/2, to the nearest integer?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14056, 28120, 42184?\nAnswer: 56248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.103562 - -13.\nAnswer: 12.896438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76671*h**2 - 32840.\nAnswer: -153342*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2426818 - -27236818. What is o rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78190 and 2625?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-m**3 + m**3 + 2*m**3) + (0 + 3 - 2)*(64*m**2 + 57 - 55*m**2 - 11*m**2 - 12*m**3).\nAnswer: -8*m**3 - 2*m**2 + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 8*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 18483.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 11) in base 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*8\/(-20)*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by ((-2)\/4)\/(2\/(-52)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n - 370 - 414 = -5 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose 0 = s*f - 3 - 2, -4*h + 2*f + 14 = 0. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40410 is divided by 109?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) - sqrt(76)*-2)*-3) + sqrt(76) + (sqrt(76) - (6*(sqrt(76) + 2*sqrt(76)) + sqrt(76))))\/(sqrt(12)\/(3*sqrt(108))) + 1.\nAnswer: -108*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 9. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s - 7. Let c(z) = -5*z - 3. Let t(o) = 3*a(o) - 7*c(o). Let k(g) be the second derivative of -g**4\/12 + 4*g. Calculate t(k(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -44. Let w(i) = -76*i**3 - 4*i**2 - 12*i - 9. Let r be w(k). Suppose r - 1029 = 10*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjqsqssjqxsqss. Give prob of picking 1 q and 1 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 114934*a**3 + 137 - 63.\nAnswer: 114934*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -121. Suppose -3*y - 135 = -5*k + r, 5*y = -4*k + 206. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/3, -5, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*h*j**2 + 2*h*j - 102*h - 2*j**3 - 1 with respect to j.\nAnswer: -112*h*j + 2*h - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29018, -67571, -106124?\n\"Answer: -38553*m + 9535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:09 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1030237.5 nanoseconds?\nAnswer: 0.000017170625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 40*u**2 + 3*u - 3. What is c(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -138*j + 542*j - 131*j + 5 - 136*j - 134*j. Let n be -1*20\/(-6)*3. Let t = n - 4. Let y(f) = f + 1. What is t*y(m) - w(m)?\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g - 480. Determine v(-32).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbluluuuxxulr. What is prob of picking 1 l and 2 x?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.31*8.\nAnswer: 10.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*r + 30 = -r, 25 = -2*f + r. Let u = -7 - f. What is the units digit of -15*((-16)\/6)\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -7*f**5\/20 + 5*f**4\/12 - 5*f**3\/6 + 5*f**2\/2 - 18*f. Let p(t) = 11*t**3 - 8*t**2 + 8*t - 8. Give 5*p(n) + 8*v(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4 + 8124*u**3 - 16257*u**2 + 8130*u = 0.\nAnswer: -2710, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**4 - 8 + 8 + (2 - 2 + 4 + (-5 + 1 + 2)*(1 - 4 + 2))*(4*o**4 + 3*o**4 - 5*o**4) to the form y + i*o + n*o**2 + f*o**4 + g*o**3 and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*q - 1479 = -852 - 801 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4056924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*j - 25 = 0, -t - 16*j - 5 = -17*j. Which is the nearest to t? (a) 1\/6 (b) -0.4 (c) 1\/402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63\/5 + -759\/40. Find the common denominator of -25\/217 and t.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 590 and 1.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1357, 1, -5 in decreasing order.\nAnswer: 1357, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -335 + 2009\/6. Which is the second smallest value? (a) z (b) -2 (c) -7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9719879*b**2 + 15693486?\nAnswer: 19439758*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 26. Let v be d(4). Is (-1)\/(((-16)\/41578)\/v)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2 - 6*w - 13. What are the prime factors of k(4)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7*l - 25. Suppose -3*x = l*j - 31 - 69, 0 = -x - j + 30. Suppose y - 56 = -d, -86 - x = -2*d - y. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4363 + 4367. Sort n, -14, 3.\nAnswer: -14, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -9. Let p be (u\/14 + -2)*7. Solve p*s + 0 = -4*t - 18, 5*s = 5*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 0.3 (c) 144 (d) 2 (e) 0.1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:08 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 639 (b) -5 (c) -1\/4 (d) 2\/15 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.8 + -34. Sort 12, z, 3 in increasing order.\nAnswer: z, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 4) + (-1720)\/6. Let z = p - -281. Are z and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.212 + -0.28. Let j = d - -0.067999639. What is j rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -39*q - 62. Determine a(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87729 (base 15) to base 14.\nAnswer: -b2b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1107400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*t**3 - 2*t**3 + 8*t**3)*(-11 - 204*t + 105*t + 114*t) in the form y*t**3 + z*t**4 + u + r*t**2 + s*t and give y.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*j + 70488, -4*j - 126210 - 14774 = -4*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5 - 1. Let t = j + 2. Suppose -d = 6*c - 4*c - 87, 5*c + 5 = t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 2*h**3 + 5*h + 2*h**2 - h.\nAnswer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49211466*-0.2.\nAnswer: 9842293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 - 2*p**4)*(-2 + 545 + 145) - p**3 + p**3 + p**4.\nAnswer: -1375*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8154868 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 19213\nAnswer: -365047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r**2 + 12*r**2 - 2 + 20*r**3 - 12*r**2.\nAnswer: 20*r**3 - 28*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -9. Suppose -2*c = -0*c - 4. Suppose o - 4*y = 0, -2*o - y = -c*y - 35. Calculate the smallest common multiple of m and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100000001 (base 2) to base 4.\nAnswer: 1130001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4303665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 11*s - 9. Determine i(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1508)\/(-406) + 4\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibbbbdddbdddbi. Give prob of sequence bd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 29654.3, 0, 5, 1\/4, -4\/3, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*1*sqrt(99) - (-2 + 2*sqrt(99) + sqrt(99)*1 + 4))**2*-3.\nAnswer: -24069 - 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let m(w) = -88*w**2. Let p(q) = 29*q**2. Let d(c) = 5*m(c) + 14*p(c). What is d(v(k))?\nAnswer: -136*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**2 - 21*x**2 + 2*x + 0 + 7 - 2*x.\nAnswer: -2*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - 85 - (-1 + 3 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 674150, 1348559, 2022990, 2697449, 3371942, 4046475, 4721054, 5395685?\n\"Answer: v**3 + 5*v**2 + 674387*v - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 1481*g**3\/3 - 783*g**2\/2 - 772. What is the second derivative of q(h) wrt h?\nAnswer: 2962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51823010 and 5748.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1))\/1 - -2. Suppose p*t - 4 = -8. Let z be t\/5 - 296\/10. What is z rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 794 - 9523\/12. Let f(p) be the second derivative of -6*p - n*p**4 + 0*p**3 + 0*p**2 + 0. Let l(y) = y**2. Give f(l(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccggccccccgcg. Give prob of sequence ggc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32367 * -10\nAnswer: 323670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14265 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30475 divided by -1.\nAnswer: 30475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 38. Let n = c + 7. Let o be 0\/(n\/20*-5). Solve -5*a - 2*k = 18, o = -4*k - 4 - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4 + 2 = -3*x, 0 = 4*x - u + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2822596270 is divided by 2224.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 12*g**3 - 10*g**2 + 24*g = 0. Calculate g.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166230 and -0.014.\nAnswer: -2327.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236609.784 rounded to the nearest 1000?\nAnswer: 237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 6. Find the common denominator of 67\/6 and (1\/(-8))\/(p\/150).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -496 + 496. Which is the biggest value? (a) h (b) 58 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Let i be b(6). Let s = -28 + 15. What are the prime factors of -2 + (1 + i - s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99895429?\nAnswer: 99895429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 1. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:07 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41992565.\nAnswer: 5, 19, 442027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 465440*q + 605394 wrt q.\nAnswer: 465440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 21 = 3*p, -p - 49 = -6*p - 3*k. Is 11 a factor of 116\/p + 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -5*w + 1, 4*w = -3*p - 23. Let a = -17\/11 - -97\/77. What is the biggest value in w, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -22. Calculate the remainder when (-160)\/7*21\/(-6) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*w + 95 - 60, 0 = 2*v + 4*w - 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 16. Suppose -3*p - f = -4*h + 2*p, -6 = -2*h + 4*p. Solve -j - h*z = 4*j - 15, 3*j - 13 = -z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 32\/(-20). Let b(o) = 3*o**3 - 81*o**2 + o - 19. Let n be b(27). Solve -2*c - 3*y + n = 0, y + v*y + 4 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (361 + v + 1402 - 3231)*(-1 + 1 - v + (-1 + 3 - 3)*(0 + 0 + 2*v)).\nAnswer: -3*v**2 + 4404*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**2 - 23. Let m(d) = -6*d + 1. Give v(m(h)).\nAnswer: -360*h**2 + 120*h - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1286*h + 38599. Calculate o(-30).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 127*s**2 + 189*s - 111. Give m(62).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -131*u - 113 + 64 + 2*u**2 + 281*u + 74 - 126*u. Give o(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -263, -518, -773?\n\"Answer: -255*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let z = 330759.6 + -330760. What is the nearest to 0 in 3\/22, -2\/7, c, z?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 4 (c) 5070673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**9)\/r*r**(-10))**14\/(((r*r**(6\/11)*r)\/r**1)\/(r\/(r\/(r*r\/r**(1\/3))*r))**(-3\/38)) assuming r is positive.\nAnswer: r**(2592\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/9 + 952*z**4\/9 - 26242*z**3\/9 + 141404*z**2\/9 - 22472*z\/3 - 26224 = 0. Calculate z.\nAnswer: -1, 2, 6, 22, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/126)\/((-122)\/(-366))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**17*u*u**(-1))\/(u**7\/u*u*u**(-14)) assuming u is positive.\nAnswer: u**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -31 + u - 20*u**2 + 15 - 5*u + 9 - 3*u. Let n(q) = 13*q**2 + 5*q + 5. What is 5*c(r) + 7*n(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**3 - 5*y**2 - y - 3. Let q(o) = -7*o**3 - 195*o**2 - 2 + o + 4 - 202*o**2 + 401*o**2. Calculate 4*b(g) + 5*q(g).\nAnswer: -3*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 442 + -442. Which is the third smallest value? (a) -4 (b) t (c) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3\/5 - 4204*q**2\/5 = 0?\nAnswer: 0, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 27 = 4*k - 3*f, 9 = 3*f. Let t = 0 - 4. Sort k, 2, t in descending order.\nAnswer: 2, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10626679 and 959.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-24)\/64*(6 + -2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*k - 2, 1357*y + 2*k - 4 = 1362*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.356 (b) -4 (c) 2\/11 (d) 2 (e) -2 (f) 4\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 36 - 53 + 17 + 5*u**2 + 0*u**2. Let o(n) = 36*n**2. Determine o(l(m)).\nAnswer: 900*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*d**4 + 20*d**2 - 602*d**4 - 609*d**4 + d + 2403*d**4 - 600*d**4 - 2*d**3 + d**5 - 10 = 0 for d.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 - -413. Calculate the greatest common divisor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + 8085\/(-110) - (-2012)\/(-808)\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*z**5 + 28975*z**4 + 31250*z**3 - 1854400*z**2 - 1856640*z = 0. Calculate z.\nAnswer: -8, -1, 0, 8, 5802\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + (0 + sqrt(242) - sqrt(242)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2714 + -2687. Let b = -144 + 981. What is the greatest common factor of o and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8361771?\nAnswer: 3, 11, 253387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5925 is divided by 348.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 292160707, 292160708, 292160709, 292160710?\n\"Answer: i + 292160706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 34159*b + 187. What is the ten thousands digit of l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -234*o. Let y(t) = -201*t + 1. Determine y(k(l)).\nAnswer: 47034*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j - 6. What is the nearest to -1 in -2\/7, j, -0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 362 = -40*d - 79 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**4*o**2 - 2567417*d**4*o*s**3 - 48*d**2*o**2*s**3 - 2*d**2*o*s**3 + 4*d*o**2*s**2 + 21*o**2*s + 47*o*s**2 wrt d?\nAnswer: 120*d*o**2 - 61618008*d*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(720) + -1 + sqrt(720) + (-4*(sqrt(720) + -1))**2.\nAnswer: -360*sqrt(5) + 11532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1081 - -720. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**5 + 6*k**3 + 14*k**2 - 6*k. Let i(z) = 4*z**5 - 5*z**3 - 14*z**2 + 5*z. Let j(q) = 5*c(q) + 6*i(q). Find the third derivative of j(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - -20. Suppose -3*m + v + 31 = 0, -5*v + 10*v + k = 4*m. Solve -2*l = -1 - m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24250350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440387391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -59 - (-39 + 9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-12) + (-23)\/(-4). Let x(j) = 5*j**2 + 10*j - 8. Let d(o) = 3*o**2 + 5*o - 4. Let h(n) = -7*d(n) + 4*x(n). Determine h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 128, 104, 100, 122, 176, 268, 404?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 222 + 3 = 0. Calculate the remainder when i is divided by (-4 - -2) + 34 + -6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 7831, 0.39, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 4. Let l(a) = -a - 14. Let y be l(-14). Suppose y = -5*g - 6 - 34. Does 6 divide s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/56 - (-894)\/7. Let r = -123 + t. Sort -1, -5, r in increasing order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1037, 343, 1723, 3103, 4483?\n\"Answer: 1380*o - 2417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.772 + -0.028. Let f = 14.8 + u. Which is the smallest value? (a) 2 (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 2860115*t - t**2 - 2860115*t + t**2 - 4.\nAnswer: 3*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioyyyeiafia. What is prob of picking 2 y, 1 o, and 1 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311377 is divided by 1149.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -779, 3, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, -0.6723993 in descending order.\nAnswer: 1\/2, -0.6723993, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289231003 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + c + 25 - 68 = 0, -5*t - 4*c = 28. Suppose -28 = -4*h - 0*h. Let y = h + t. Sort 3, y, -4 in descending order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*i**2 + 12*i**2 + 9*i**2 + 27584*i + 11*i**2 - 5113*i to the form m*i + d + g*i**2 and give m.\nAnswer: 22471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39 + -44 + 20 + 35\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*n = 185*n + 2*v - 366, -3*v + 9 = 0. What is the least common multiple of n and 265?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-16) + 6\/4. Let d be p\/4 + 38\/8. Suppose h = -2*h - 5*l + 46, -4*h + 63 = d*l. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275 and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 517 - 532 = 3*m, -5*n = -7*n + 5*m - 3 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/129, -46, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*w - 3*s, -4*w + 3*s + 92 = -89. Calculate the greatest common factor of w and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**5\/20 + s**4\/3 - s**3\/6 + s**2\/2 + 2*s. Suppose -2*h + 4*h = 0. Suppose 2*q - 1 - 5 = h. What is v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1909556 + 1356026. Let q be 0 - (m\/28)\/(-5). Let p = q - -3950. Calculate the common denominator of p and 97\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 436 and 7094 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 33 = -6*m. Suppose 0*t = -m*t + 25. Solve -15 = t*c - 0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -26723?\nAnswer: 2\/26723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3)*q*((q*q*(q*q**(1\/3))\/q)\/q)\/q)**(-1\/8)\/((q\/(q**(-2\/3)\/q))\/q**(4\/5))**(-4\/5) assuming q is positive.\nAnswer: q**(473\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 6*m. Let g(n) = n**2 - 7*n + 4. Let y(r) = 4*g(r) - 5*j(r). Determine y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -1427, -2147, -2843?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.9 - 73.27. Round o to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12 and -59\/138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**3\/3 + 33*g**2\/2 + 88. Solve x(r) = 0 for r.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391566 is divided by 55935.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.57 + 2.67. Put m, -2, -4 in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**2 - 2 - 2 - 3*b**2 + 7 to q*b**2 + j + o*b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171 times 0.02?\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - (-2 - (-25)\/5). Let b = h - 10. Suppose b = s - 35 - 41. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(5\/51)*-15.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -169037, -337980, -506923?\n\"Answer: -168943*h - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/13))**(2\/13)*s*s**(3\/5)*(s\/(s*(s*(s*s**(1\/3)\/s*s)\/s)\/s*s))\/s assuming s is positive.\nAnswer: s**(-1679\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -333, -445, -557, -669, -781?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from ijidijl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-4)\/(-232))*1\/2. Put 1, l, -3 in decreasing order.\nAnswer: 1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 681640 and 52.\nAnswer: 8861320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 34, -5336*n + 5341*n - 8 = w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -336. Suppose 37 = 2*v - 4*g - 61, 0 = -4*v - 5*g + h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a\/(a\/a**(-5)))\/(a**1)**(-45)*(a**1)**43*a**(-5)*(a\/(a*(a*a*a**(-4))\/a))\/a*a assuming a is positive.\nAnswer: a**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 36 = -16*y. Let j be 1 - (y\/(-15) + 0). Let d be 20\/(-30) - 2\/6. Which is the nearest to d? (a) 0.5 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 3)*(-1 - 2*m + 1) + (-m + 2*m + 0*m)*(0 + 4 + 1).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -899496 (base 14) to base 7.\nAnswer: -54504446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0 - sqrt(108)) + sqrt(108))*3*4 - ((sqrt(108)*-1*-2)\/sqrt(4))**2.\nAnswer: -108 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1256096260 to the nearest 100000.\nAnswer: 1256100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -40, -5, 41, -42.\nAnswer: -42, -40, -5, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 bigger than 101.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5.105 * -19124\nAnswer: 97628.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214 + -1?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 20 + (-17 + 31 - 21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 34\/5 of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.56 rounded to 0 dps?\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789923799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:13 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 792 + -790. Is g\/(-5) + 172244\/85 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2814?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -34466 - 23746. Let q = c + -5253. Round q to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 315227, 315240, 315269, 315320, 315399, 315512, 315665?\n\"Answer: t**3 + 2*t**2 + 315224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*z + 108 = 0, -4*z + 69 - 395 = -5*j. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 398726408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 4, -3, -305, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9827 - -0.6827. Let i = 0.24 - 0. Let m = i + -5.24. What is the biggest value in 3\/2, h, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 8. Let w be n(6). Suppose 4*a = -5*h - 10, -w*h = -5*h + a + 11. Suppose 24 = 3*j - d, h*j + 0*d = -4*d + 2. Solve -2*b + 15 = -j*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378\/10*(8 + (-460)\/(-30)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -2*sqrt(88)*-3 - -1*sqrt(88)*2)\/(sqrt(72)*1 - sqrt(8) - sqrt(16)\/(sqrt(50) + sqrt(2))).\nAnswer: 54*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174566 - -314?\nAnswer: -174252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 - 1)) + -74 + 452 + -322.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let j(u) = -8*u + 14. Determine -j(a) - 6*z(a).\nAnswer: 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96912 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.5664 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - p**2 + 5*p + 2. Let k be o(5). Suppose -3*s + k = 3*s. Let a = -9 + s. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -37. Suppose -15*m - 5 = -10*m. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519625563.\nAnswer: 7, 13, 2129861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 3)\/5 - (-3 - 9). Differentiate -100 + 121 + g*u - 93*u with respect to u.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -27) + 1 + (2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + l - 7 - 5 = 0, l - 6 = p. Is 58\/p*3\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 6*q**2 + 3. Calculate d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.42 - 1.02. Let v = -43 - -42.6. Let r = v + g. Is -16 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24822 and 73\/10?\nAnswer: 124110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 106 = -g - 0*g, -2*d = -2*g - 50. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101000101111010 - 101010?\nAnswer: 1011101000101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 33 - 111 + 355*v**2 - 175*v**2 + 44 - 181*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245 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 97 = 4*o - h, 0 = -o - h + 27 + 1. Determine y so that 14 + 2 - 2*y**2 - 30*y - o*y + 57*y - 4 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2218, 477?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t. Let b(j) = 59*j. Let v(w) = -7*w. Let x(p) = -b(p) - 6*v(p). Let q be 3 + 0\/2 + 5. Let g be (-2)\/(-8) - 13\/4. Determine g*x(h) + q*m(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/32 - 57\/224. Let o(j) = j**3 - 8*j**2 + 9*j - 8. Let c be o(7). Let h be (8\/12)\/((-4)\/c). Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2949*z**2 + 4154*z + 5. Let f(w) = 1476*w**2 + 2079*w + 2. Let c(i) = -5*f(i) + 2*u(i). What is the second derivative of c(k) wrt k?\nAnswer: -2964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcz when three letters picked without replacement from zzszssspzvsczxc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27704\/124641 - -2\/41547. Which is the closest to -2? (a) 1 (b) 2 (c) i (d) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75650 is divided by 8391.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**7\/70 - a**4\/8 + a**2 + 3*a. Let b(c) be the first derivative of z(c). Find the second derivative of b(d) wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2644316578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10ab - -4?\nAnswer: 10b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736379 and 271829048.\nAnswer: 1902803336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j**3 + 0*j**3)*(1 - 4 + 2 + 0 - 1 + 3 + (-1 + 3 - 3)*(2 - 5 + 5) - 1 - 2 + 2 - 3 + 1 + 0 + 15 - 25 - 27).\nAnswer: 41*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/4)*n)\/n*n**(-1\/12)*n*n**(-1)*n*n**1 assuming n is positive.\nAnswer: n**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063783 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((6 - (5 - 3)) + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3503583 by -9.\nAnswer: -389287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 56*j + 117. Let p be m(-57). Is 42 a factor of (-5 - p\/24)*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 9*v + 9. Let u(r) = -2*r + 2. Let f be (-6)\/(-2) - 7 - 5. Give f*u(l) + 2*a(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/50*(2\/(-12))\/((-32)\/(-480))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 0.57, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -21. Let h(j) = 6*j - 11 + g + 8 + 8. Let n(q) = -13*q - 15. Let u(a) = 13*a + 14. Let d(p) = 3*n(p) + 4*u(p). Give -4*d(r) + 9*h(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 13*l - 17. Let g be r(-11). Suppose 0 = 3*j - 4*d - 8, -2*j + 0*j + d + 7 = 0. Suppose -3 + j = -x. Sort g, x, -5.\nAnswer: -5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 299*r**3 - r**2 + 2*r - 1. Suppose -g = 3*s + 8, -2*g - 4*s - 6 = 4. Is c(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 32 = 5*n + 37, 3*r - 19 = 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-9376)\/(-10) + ((-6)\/25)\/(57\/(-95))?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) 1\/260 (c) -12\/11 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**3 + 3*g**2)*(7*g + 8*g - 6*g) - g**4 + 3*g**4 - 3*g**4 + 0*g**4 + 3*g**4 - g**4.\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3933338ms to seconds.\nAnswer: 0.0003933338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26305259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -23*n**3 + 299*n**2 + 25*n + 11. Let a(u) = -8*u**3 + 101*u**2 + 9*u + 4. What is -11*a(i) + 4*t(i)?\nAnswer: -4*i**3 + 85*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from oueueeeeeeeaee.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -256*b. Let j(i) = -2*i**2 - 25. Calculate j(n(k)).\nAnswer: -131072*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*p - 8, 2*p + a = -2*a + 12. Suppose u + p = 3. Suppose -o - u*o = -1172. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, -1, 11 in increasing order.\nAnswer: -29, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.1210739 microseconds to weeks.\nAnswer: 0.00000000015562346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -4\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(55)*-2)\/sqrt(5) - (-1*sqrt(11) + 2)**2).\nAnswer: -19 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (707*l**4 - 411*l**3 - l - 715*l**4 + 399*l**3)*(0*l + 5*l - 2*l).\nAnswer: -24*l**5 - 36*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (9 - 5) - (-47 + 98 + -70).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -5, -61, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 76216175 divided by 15243235\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -100, -1 in descending order.\nAnswer: 8, -1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/548 and 51\/22730.\nAnswer: 6228020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*l + 721, -8*w = -l - 5*w + 378. Let m = 363 - l. Let n(s) = s**2 - 3*s - 7. Let d be n(5). Solve y = -m*y - i - 1, -2*i = y - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.033 + 0.367. Let a = 73.6 - 74. Put 0.1, u, a, 1\/2 in descending order.\nAnswer: 1\/2, u, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {l: 4, t: 6, h: 2, k: 1, d: 7}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-21)*1372\/1960*(-20)\/(-136)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344*g + 63*g**2 - 344*g to the form b + t*g + p*g**2 and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.344616722 - 3.3446. What is c rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -41*g**3 + 9*g**2 - 9*g + 23. Let s(p) = 21*p**3 - 4*p**2 + 4*p - 12. Let k(y) = -9*s(y) - 4*z(y). Differentiate k(b) with respect to b.\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 + x + 3. Let q(m) = 47*m**3 + 2*m**2 + 4*m - 2. Determine 4*k(f) - q(f).\nAnswer: -43*f**3 + 2*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 5. Let y(u) = 2*u - 2. Let z be y(2). Let f be -3 + 0 + z + 3. Suppose -x + 6 - f = 0. Determine t(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 14*s = -787826 - 681730. What are the prime factors of s?\nAnswer: 2, 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10249532 and 12811915.\nAnswer: 51247660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = 10. Suppose 0 = z*y - 20, 5*f + 0*y = -3*y + 22. Does 23 divide (3 + (-15)\/6 + 11)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 - 154*t**3 + 60*t + 77*t**3 + 73*t**3)*(2*t + 0 - 5 + 3) to g*t**2 + y + s*t + f*t**3 + z*t**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*((13 - 18) + 9))\/((-8)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*v - 36. Suppose 0 = -v*o + 23*o + 77. Suppose 429 = 8*c + o. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*n - n - 5*a, 4*a = 3*n - 182. Calculate the common denominator of -101\/20 and 2\/(1 - n\/74).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let o = 56 - 49. Suppose 3*z + 3*n = 12, 4*z + 6*n - o*n = 6. Let u(i) = 2*i - 3. Determine z*u(h) + 7*t(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -52*o - 2523. Give a(-48).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 8. Let m(y) = y**3 + 6*y**2 - 3*y - 7. Is 7 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1951, 2, -0.4, -1433\/12 in ascending order.\nAnswer: -1433\/12, -0.4, -2\/1951, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*k + 4*t + 100, 4*t - 62 = -2*k. Let l = 15 + k. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110111100111 + 100101101?\nAnswer: 10000111100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/272?\nAnswer: -3\/272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/20)\/((-1)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*(-1595)\/33.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 0 + -2 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 187*h.\nAnswer: -h*(h - 374)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:06 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1092 or 4966?\nAnswer: 1092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384 by -2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 - 2. Let z be a(-4). Let q(v) = -20*v + 4. Let c be q(-5). Let y = z - c. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*j, 408*s - 7 = 821*s - 412*s - j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/691 and -20\/7.\nAnswer: 4837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 7*k + 6*k + 35 as n*k + c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/6*(-24)\/(-16). Suppose 90 = 2*a - 2*o - o, 2*o + n = 0. Let x be -2 + 1 + a\/13. Solve 2*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 8.19, 2, -1, 0.4 in increasing order.\nAnswer: -2, -1, 0.4, 2, 8.19, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Suppose 5*j - 325 = -s - 4*s, 5*s = 0. Suppose -o + j = q*o. Solve 0 = 4*t + 3*w - 3 + 4, 2*t = w - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 585 and 130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let l(j) = -3*j**3 - j - 1. Let p be l(-1). Let t(a) = -4*a + a**2 + 7*a - p*a. Determine t(o(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 10. Let l be w(-3). Suppose -3*f - 54 = 4*h, 2*f - f = -2. Let b = h - l. Solve 3*r + 5*p = b, -4*r - 1 = 3*p - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033814199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -z - 3*z + 5*a, 32 = 2*z - 4*a. Let u = 472 - 454. Calculate the highest common divisor of u and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-2*x**2 + 2*x**2 - 2*x**2)*(3 - 1 - 1 - 2*x).\nAnswer: -8*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 11 = 5*y - 21, 4 = 2*y + 3*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 191. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115963 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -879445\/108 + 8143. Suppose 0 = 2*y - 2*g - 8, -3*y = 2*g - 4*g - 8. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19924 times -2284\nAnswer: -45506416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*3*2\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 17946\nAnswer: 17946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -133, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1149784 and 11384?\nAnswer: 1149784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/12 + z**4\/4 - z**3 + 2*z**2. Let x(i) be the first derivative of 7*i - 2*i**3 - 7\/2*i**2 - 1. Give 7*s(d) + 6*x(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:48 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55995489*t**2 + 42774429 wrt t?\nAnswer: -111990978*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -20, 3, -6 in decreasing order.\nAnswer: 3, 0, -1, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 6332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-170)\/60)\/(-17) - (-199)\/(-6)) + (0 - -1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-282)\/(-517)*(-1)\/(-3). Which is the second biggest value? (a) -10 (b) -0.4 (c) g (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighty-five quarters of a day?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4115441159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from gps.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944765723 to the nearest integer?\nAnswer: 30737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1487071846 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -167697, -44, 1 in increasing order.\nAnswer: -167697, -44, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 1224?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 29. Let m(t) = -t**3 + t**2 + t + 12. Let h be m(c). Solve h = 5*i - i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = t. Let a be (t\/(-12))\/(1\/(-12)). Solve -6*n**4 + 0*n**a - 3*n**5 - 3*n**3 + 0*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-4)*(-4)\/3. Suppose q = 3*z - 2*z. Suppose -5*n = -z*n. Let m(t) = t + 11. Calculate m(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109212 divided by -54606\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.983 - 3?\nAnswer: -3.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 - -159. List the prime factors of ((-143)\/117)\/((-2)\/(-42))*q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222 + 12001?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:25 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (5 + -5 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30397\/4509 + 1299\/167. Let w(v) = -v - 10. Let s be w(0). What is the common denominator of o and (-22)\/(-30) - 4\/s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(147\/(-6)) + 593\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*y**2 + 27*y**2 + 73*y**2 + 154*y**2 + 34*y**2.\nAnswer: 63*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/36*25222\/(-722). Let w = h + -6\/361. Find the common denominator of 2\/(-6)*60\/22 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2) + (-13)\/((-234)\/2719827) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 12228.\nAnswer: 12228.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 570*h**3 + 331*h**3 + 1 - 1067*h**3 + (0*h + 0*h + h)*(-5*h**2 + 3*h**2 + 4*h**2).\nAnswer: -164*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:42 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1484, 2997, 4540, 6113?\nAnswer: 7716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1124, 1986, 2862, 3752, 4656?\nAnswer: 5574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1065*v**2 + 4*v + 759. Let x(r) = -1066*r**2 + 6*r + 755. Let h(o) = -3*t(o) + 2*x(o). Differentiate h(s) with respect to s.\nAnswer: 2126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-10))\/((-21)\/(-70)). Suppose 0 = x - c. Solve x = -j, 0*j + 5 = 5*r - 5*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -158, -5 in descending order.\nAnswer: 0.5, -1, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 93\/1622306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -5.03. Which is the third biggest value? (a) 6 (b) -4 (c) -3\/8 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -104, -192, -316?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 82*z**2 - 442*z + 18. Give p(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -1. Suppose -838 = 2*r + d*i - 342, 3*r = 4*i - 744. Let o be r\/((-149998)\/(-75000) - 2). Round o to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -175*v - 1. Let p(i) = -4*i. Calculate h(p(k)).\nAnswer: 700*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9957 * -2202.8.\nAnswer: 2193.32796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 9. Calculate the remainder when (-2 + -33)*20\/a is divided by 15\/(1 + 0\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a, u - 1176 - 210 = 5*a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/3))**(-38))**(-11))**23 assuming o is positive.\nAnswer: o**(9614\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*x - 127 = -2517*l + 2514*l, 2*l = 2*x + 54 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -238.07. Let y = q - 0.07. Put y, -1\/6, 0.22 in increasing order.\nAnswer: -1\/6, 0.22, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17259.0333 + 17258. Round b to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from {j: 2, f: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.23893\nAnswer: 5.23893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -51. Factor -19*k**3 + 13*k**3 - k**g + k**2 + 3*k**4.\nAnswer: 3*k**3*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75809.29 rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 - 20 = 0. Find the third derivative of -7*p**6 + 3*p**6 - 7*p**x + 12*p**2 wrt p.\nAnswer: -1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17664, -35361, -53050, -70731, -88404, -106069, -123726?\n\"Answer: 4*p**2 - 17709*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1226)\/14 + -64 + 66 + 7\/(49\/(-17))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (21 + -1 - (-21 - -28)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6507 + 10009. What are the prime factors of j?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 + -0.1. Let k = n + -3.5. What is the second biggest value in k, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(720)*-2*5 + 3 - (2 + -1 + sqrt(720) + -5))**2.\nAnswer: -348676 + 7392*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18\/35 - -11\/455. Let r(m) = -m - 21. Let i be r(-19). Calculate the common denominator of -6*6\/(-15)*(i + 4) and f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/54)\/(1870\/(-4488))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144331240 (base 5) to base 13.\nAnswer: -212908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72598 or -72596?\nAnswer: -72596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24623.63 - -24624. Which is the second biggest value? (a) -2\/15 (b) 0.2 (c) -31 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -0.2102 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/55 + (-6 - (-408)\/66)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*r - 244, 4*y - 401 = r - 4*r. List the prime factors of r.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 1. Let x be y(-7). Suppose -5 + x = 5*n. Solve 3*z - 4*g - 20 = 0, 5*z + 2*g = -n*g - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*p + 21, 2*p = 3*q - 4*q. Let c(n) = n**2 - 11*n - 9. Let r be c(12). Suppose -4*k = u + 5, u - r*k + 0 - 9 = 0. Solve 0 = u*g - 18 + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 5}. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4931?\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(((-4)\/18)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/20 + i**4\/12 - i**2\/2 + i. Let w(y) be the third derivative of y**5\/30 - y**3\/3 + 64*y**2. Give -w(u) + 2*z(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - n - 48 = 0, q - 3*n - 5 = 18. Let r(c) = 7*c - 4. What is the remainder when r(5) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7308795 and 2405?\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-2*-6 - ((sqrt(152) - 6*sqrt(152)*1) + sqrt(152)))\/(sqrt(648)*-6*-4).\nAnswer: 2*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:34 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 + 13*i + 5. Let m be d(7). Let y be 0 - (m + (-2 - -2)). Solve -2*k + 8 - y = -5*l, 4*l - 5*k + 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1061, 2122, 3183, 4244, 5305, 6366?\nAnswer: 7427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770769 a multiple of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -6*p**3\/13 - 188*p**2\/13 - 1408*p\/13 + 1024\/13 = 0.\nAnswer: -16, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28412*-4.\nAnswer: -113648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjjjfcjtfkctkfjjtf. What is prob of picking 2 t and 1 f?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.287 rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 4. Let d = -20 - -35. Suppose 5*g + d = 0, -13 = -2*w - 5*g - 0. Suppose 3*t + 14 = -s, -t + 5*s - w = -2*t. Calculate o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 + 2*z**2 - z - 2. Let x(r) = -r**2 + 10*r + 10. Let b be x(11). Let l be p(b). Solve l*s = -3*h + 24, -10 = -4*h + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -21 + 5*v + 10 + 14 - 3*v**2. Let r = 17 + -10. Let u(f) = -f**2 - f**2 + 2 + 3*f + 0*f**2. Calculate r*u(h) - 4*b(h).\nAnswer: -2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -19 + -15 - -14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 47 - 3. Let m = -22 + x. Suppose 0 = -4*z - m*z - 3213000. Round z to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - w + 3 = 0, 2*a + 2*a = 3*w + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 893, 892, 891, 890, 889?\n\"Answer: -m + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:51 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 divided by -213?\nAnswer: -174\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 440 = 165. Calculate the common denominator of 11\/12 and (-681)\/420 - 5\/r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)*s\/(s**2*s) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567837167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13808.481 to the nearest ten.\nAnswer: 13810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/5, 3\/5, 3, 848.\nAnswer: -2\/5, -2\/13, 3\/5, 3, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*g - 260, 2*s + 0*g - g = 117. Suppose -s = -2*i + 4. What is the units digit of 1 + 2 + i + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvvvvtvvt. What is prob of picking 1 v and 1 t?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 2, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1693*u**3 + 6*u**2 - 2. Let y(b) = 3*b**2 - 1. Calculate a(d) - 2*y(d).\nAnswer: -1693*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - 3)) + 4 + -3 + -39 + 5\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81671 is divided by 1633?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24910 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64321693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.11. Let h = o - 0.04. Which is the biggest value? (a) 5 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 1, -21.\nAnswer: -21, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17334 + -1250. What are the prime factors of k?\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202166250 - 3?\nAnswer: 202166246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18456854327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 14 = -0*v - 3*n, 0 = v - 2*n + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g**4 + 4*g**2 - 6*g**2 + 80*g + 2*g**3 - 80*g to x*g**2 + j*g**4 + q*g + t + v*g**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6182791 (base 10) in base 2?\nAnswer: 10111100101011110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2. Suppose -8*p + 2*p = -54. Suppose 3 = -3*x + p. Let z(t) = 5*t**2 + 7*t**x - 10*t**2. Give z(k(j)).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 2*w**2 + 5*w + 3. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8710*o + 8714*o = -j + 53, 5*o + 15*o = 3*j + 289 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 476969 + 15 + -11 + 4\/(-3 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 27264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1583592 smaller than -1583592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*q**5 + 19*q**5 + 24*q**5 + (0*q + q**3 + 0*q)*(0 - 2 - 1)*(q**2 + 2*q**2 - 2*q**2).\nAnswer: 93*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 31*h**2 + 29*h + 47. What is the remainder when 460 is divided by z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + f9e3?\nAnswer: f9e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 74*j + 85 - 70. Solve -5 = j*q - v, -6*q + 6*v = -q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q - 13 + 13)*(-6 + 3 + 2)*(-q - q + 0*q)*(0 - 2*q**2 + 0).\nAnswer: 52*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from xxmmmxxxmxxxxxxxxx.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*y**3 + 249*y**3 - 264*y**3 + 179*y**3.\nAnswer: -555*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(75) + (sqrt(75) - (2*sqrt(75) + sqrt(75))) + 3))**2 + ((2*sqrt(192))\/sqrt(8))\/(sqrt(200)*-1).\nAnswer: -3752*sqrt(3)\/5 + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 277401498.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 25*r - 7 = -5*f, f = -5*r + 17. Solve j = m + r, 3*j - 3*m - 7 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+2596725165\nAnswer: 2596725162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.133.\nAnswer: 0.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-33)\/9)\/(((-66)\/(-55))\/(96\/(-120)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - o - o)*(-5 + 4 + 5) + o + 0*o + o - 11 + 11 + 4*o)*(o**2 - 4 + 4).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7823220 or 7823242?\nAnswer: 7823242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.240904ml to litres.\nAnswer: 0.003240904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8614.998 rounded to the nearest one hundred?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - d - d**3 + 6 - 6*d**4 - 5 + 2*d**4 to the form t*d + v*d**2 + z + x*d**4 + a*d**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1732 and 5.\nAnswer: 8660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -18\/2057191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11033819?\nAnswer: 317, 34807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13*g**3 - 17*g**2 - 9*g + 3. Let m(o) = -6*o**3 - 8*o**2 - 4*o + 1. Give 9*m(a) - 4*u(a).\nAnswer: -2*a**3 - 4*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-13)*v)*v\/((v*v\/v**(-3\/11))\/v*v)*v)\/(v*v*v*v**(-2\/33)*v*v**(9\/5)\/v) assuming v is positive.\nAnswer: v**(1318\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1146511940 to the nearest integer?\nAnswer: 33860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 15. Is 13 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyv when three letters picked without replacement from hbsbybbvbyyghh?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**12*p**8*(p**(-7\/5))**(-1\/68) assuming p is positive.\nAnswer: p**(6807\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 7*z**2 + 8*z + 3. Let v be x(-6). Let d be 48\/27 + (-2)\/v. Solve 2*h + 16 = 4*r, -3*h + 4*r = d*r + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (136\/(-12))\/(2\/(-3)). Which is bigger: 12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxfyxxylrrlff. What is prob of sequence xl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 + 19)\/(-5)*(-2430)\/(-675)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z**2 - 33. Give k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.5 (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 = s - 530. Suppose 3*m - 7*m = -s. Suppose 4*n - 51 = -o + 3*n, -5*o + 4*n + m = 0. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 840.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 5*o - 2. Let j(u) = -u**2 + 4*u + 3. Let c be j(4). Let x be k(c). Find the third derivative of -3*d**4 - x*d**2 + 2*d**2 + d**4 wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -6, 4, 41, 9, -3 in descending order.\nAnswer: 41, 9, 4, 1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 1260.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 0. Suppose 5*z - 2*z - 17 = 5*y, 3*y = 5*z - q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzcgjcccccccgccc. Give prob of sequence zmg.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -112\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w - 132. Let v be s(-10). Solve -v = d - 3*g, 4*d + 3 + 3 = -g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 23 - 3 = 5*l, 8 = 5*o + 2*l. Suppose j - 2*j + 5 = o. Suppose 0 = -4*y - j + 25. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 7*g**3 + 9*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63941.\nAnswer: 43, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 0)*(-4 - 2 + 5)*(-f - 3*f + 3*f + (-1 + 0 + 3)*(-f - 2 + 2) + 0*f + 0*f + f + 3 - 2*f - 3 + 0*f + 0*f - 2*f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 93471*v - 97971318 = 0.\nAnswer: -30071, -1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 0*k + 0*k)*(-3 + 0 + 1)*(0 + 3 - 2) to u*k + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77953 or -77858?\nAnswer: -77858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**8\/168 - 59*g**7\/105 + 89*g**6\/6 - 31*g**5\/3 - 2697*g**4\/4 + 2523*g**3 + 784*g**2. Find a such that f(a) = 0.\nAnswer: -3, 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 8. Suppose w*c + 5*n = 230, -3*c + c + 4*n = -86. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i - 75*i - 94 = 0. Let g = 257 + i. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1976 + 1152 - 364 + 1896)*(1 + g - 1) in the form y*g + r and give y.\nAnswer: 4660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*c**3 + 1591*c**3 - 590*c**3 + 1516*c**3.\nAnswer: 2339*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 30*w - 510 = 0. Suppose 0 = -9*g + w + 118. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 797 = 2*k - 841, 2*n = -4*k + 58 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5550 and 600.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 i when four letters picked without replacement from {e: 11, i: 3, t: 2, o: 1, g: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 21613214?\nAnswer: -21613201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 291.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((267618\/(-235))\/(-73))\/(((-10)\/15)\/(10\/24)).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 9. Suppose 2*o + o = 12. Suppose o*m - 7*m = -21. Give q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 28632846 = -3*k. Suppose -4*b + k + 11683577 = 0. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 639 - 64*n**2 - 640 + 65*n**2. Let w(s) = -6*s - 1 - 4 + 2*s**2 + 3*s. Calculate 3*t(l) - w(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.205 - 190.\nAnswer: -189.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + o = 839, 5*o - 153 = p - 986. Suppose 3*c - 5*c = -p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 90.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.2. Let r = -0.2 - p. Let w = -0.6 + 0.8. Is w > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.2 - 31.6. Let x = s - 1. Do x and -2 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 wtyyytvyhyyyyyhyyyyx. Give prob of sequence tt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 109, 80, 29, -50, -163, -316?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 18*l + 6*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {r: 3, n: 3, p: 1, u: 1, g: 2, x: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 4, b: 2}. Give prob of sequence vjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - 202. Let i be (-3 - (-2)\/2) + 3 - y. Let s(o) = o - 2. Let w be s(6). What is the highest common divisor of i and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 84. Let r = -15 - -19. Suppose r*b - b = 6. Solve b*d + 3*k - 10 = m, -2*d = -k - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 22*p**3\/3 + p - 2. Let b = -2 + 1. Calculate the remainder when d(b) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - 71 - (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 4658.\nAnswer: -41\/4658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*l = 674*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose 0 = -z + 4*r + 81, -2*z - z + 3*r + 216 = a. Let i = -32 + z. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2839232.\nAnswer: 2, 11, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 - 431031*g**3 - 27573099*g**2 + 85736559*g - 57732426 = 0. What is g?\nAnswer: -143613, -67, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 471\/248 - 3\/124. Suppose 16 = 3*h - 2*p, -3*p - 13 = 2. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -24 + 17 + (2 - -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - -290. Put 2\/9, 2, c, -0.2 in descending order.\nAnswer: c, 2, 2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01586822 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 11 - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82845787884 + 9752.\nAnswer: 82845797636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 - 2*g**2 + 3*g. Let t(h) = -12*h**3 + 6*h**2 - 10*h. Let n = 3209 - 3216. Give n*o(i) - 2*t(i).\nAnswer: -4*i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3460, -3381, -3254, -3073, -2832, -2525?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -29\/2. Let b = -8 - -9.2. Let g = -3.8 - b. Sort g, 1\/5, j in increasing order.\nAnswer: g, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439666 times 4?\nAnswer: 9758664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4869 + 4873. Solve i + 2*o + 10 = 0, -2*i = -d*o + 3*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -29. Let d = 20.5 - f. Which is the third smallest value? (a) 3 (b) d (c) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:14 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 3 + 4 - 3 + 5.\nAnswer: -16*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084229744.\nAnswer: 2, 13, 1297, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 5*r - 10, 16 = 2*f - 4*r. Suppose f*t - 16 = 10*t. Solve k = w + 2, 5*w - k - k = t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)*(-6 + 7) - -23. Suppose 0 = l - 2*l + 5*b - m, b - 5 = 0. Let v(k) = -k**3 - k + 8. Calculate v(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - 177. What is the remainder when 442 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23540 and -23562 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 - v + 3. Let x(w) = w**3 + 9*w**2 + 10*w + 11. Let b be x(-8). Let n be c(b). Solve a - 3*a = -n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 272 + 268 = -2*c, 0 = c - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4\/169 in decreasing order.\nAnswer: 5, 1, -4\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 17*n - 32. Let d be h(-14). Let z be ((-48)\/64)\/((-3)\/8). Solve 4*x + z = -d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*l**2 - 2*h**3 - 1287*h**2*l**2 + 2*h*l - 2*h - 209*l**2 - 11 wrt h?\nAnswer: 12*h*l**2 - 12*h - 2574*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -21. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -50. What are the prime factors of 3*(-1)\/3 + s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 11*a. Determine x(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/((-1365)\/(-26))*(-3312)\/(-32)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/((-408)\/60 + 7). Solve -15*i + t = -23*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154.36 + 29.54. What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 10. Let l be a(-11). Let k = 29 - l. Is 20 a factor of 0\/3 + k + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 32*p + 300. Determine g(-37).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -115737.8 times -4\nAnswer: 462951.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 869977728 a multiple of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p + 32. What is h(3)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41549, 82579, 123609, 164639, 205669?\nAnswer: 246699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 14, 39, 3, 0.\nAnswer: -3, -1, 0, 3, 14, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 279, 176785.\nAnswer: -2, 279, 176785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26473.864 + -2.4.\nAnswer: -26476.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 3\/5 (c) 74 (d) -1 (e) -2\/195\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 15*i**2 - 14*i + 24. Calculate n(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - -1. Let q = -14 + j. Solve -u + q*u + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/((-1)\/6*4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 46 + 46 + (2*s + 1 - 1)*(-1 + 0 - 1) + 2*s + 8*s - 12*s)*(-3*s**4 + 5*s**4 - 3*s**4).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1159*v - 4427. Let n(d) = -d. What is w(n(o))?\nAnswer: 1159*o - 4427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -197740105?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2185 and 115.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1352 and -7\/1133990.\nAnswer: 4535960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (208\/15)\/8 - (-91)\/(-39). Let f = 0 + -0.5. Sort 2, 13, b, f in ascending order.\nAnswer: b, f, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 46, 103, 192, 319, 490?\n\"Answer: n**3 + 7*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 6*w - 3*w + 36, -5*w - 2*q = 29. Let s(l) = 2*l**2 - 5*l + 9. Let a be s(3). Let g = a + w. Calculate the least common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 363150.\nAnswer: 363150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 180, 234, 306, 402, 528, 690, 894?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (24984\/1602099)\/((-4)\/(-9))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 23. Let p(i) = 2*i**2 - 5*i + 5. Is p(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neeeenneeeenmmaee. Give prob of sequence neea.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 8*x**2 - 2*x - 12. Let p be a(-8). Suppose -p*h - 16 = i + 3*i, 3*h - 5*i + 28 = 0. Is -2\/5 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -8) + -9 - (-2 + (-1 - -22)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/9 + 19326*n**4 - 251206*n**3 + 4347514*n**2\/9 + 5391112*n\/3 + 1043448 = 0.\nAnswer: -1, 6, 9, 86954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -18*q. Suppose -3*r - y + 22 = q, 0 = -y + 3*y + 4. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(264)*-3)\/sqrt(6) + sqrt(44))\/(sqrt(96)\/sqrt(6))*-3.\nAnswer: -3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5895.1 + -5667. Let i = x - 230. Sort i, 2, 0.1 in increasing order.\nAnswer: i, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3061 - -430.2\nAnswer: 429.8939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/66446?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (3 + -7 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712740*f**4 - f**2 + 375369*f wrt f.\nAnswer: -17105760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4244062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -191, -5, 23 in descending order.\nAnswer: 23, -1, -5, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315 + -449. Let m = j + 137. Solve -29 = -m*n - 38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f6fa749 + 0?\nAnswer: -f6fa749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + (-460)\/(-15))*((-118)\/177 - 433\/12).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by -9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:11 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 16*c**2 + 268*c - 84. Let k be v(10). Sort 0.006, k, -1\/3 in ascending order.\nAnswer: k, -1\/3, 0.006","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6*s**2 - 6452*d**6*s - d**2*s - 14*d**2 - 6*d*s**2 - 2*d*s wrt d.\nAnswer: 240*d**3*s**2 - 774240*d**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*f + 841*f - 1614*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25775896 divided by 6443974.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 360*i - 141488. Determine t(393).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 7*x - 34 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121020 + -2121011?\nAnswer: -11012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 26 + -7 - (6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*64220\/1521\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.3. Let w = -3 + 3.4. Which is bigger: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02015571257 to 5 dps.\nAnswer: 0.02016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 752441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536 is divided by 140.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 9*l**2 + 10*l + 7. Let b be v(-6). Let y = -26 + b. Suppose -3*r + 2*r + y = 4*c, -2 = -2*r. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.1 + -19.1. Let p = 4 - 3.9. Let s = p + -0.3. Which is the nearest to 0.2? (a) -5 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 551073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-136))\/(3000\/(-96) + 31).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 108. Suppose o = 4*o + f*d - 446, -5*d + 5 = 0. Suppose 5*s = -5*n + 1275, 5*s - o = -n + 100. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -2, -124, -2\/15, -3, 0.5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -21 (c) 3 (d) -4.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123, 147, 181, 231, 303, 403?\n\"Answer: i**3 - i**2 + 20*i + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 443?\nAnswer: -443.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 209*t**2 - 1.\nAnswer: -209*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 4*m**3 - 2*m**4 + (-1 - 5 + 2)*(-2 + 2 + 10*m**4) to the form i*m**2 + t*m**3 + d*m**4 + g + w*m and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7 - 104*x + 209*x - 106*x. Let s(j) = 3*j + 20. Suppose -110*b - 240 = -80*b. What is b*r(i) - 3*s(i)?\nAnswer: -i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 7*c**2 + 2*c**2 - 50 + 50.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -13, -1, 15, 35, 59, 87?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6806 and 4838.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 156, 229, 304, 381, 460?\n\"Answer: b**2 + 68*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 7*f**2 - 2*f**2 + 2*f - 4*f**2 - 7*f**4 in the form y*f + q*f**3 + k + o*f**2 + d*f**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53924 - 19*i**2 + 4*i + 26964 + 26965 to x + b*i + w*i**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -468, -740, -1038, -1362, -1712, -2088?\nAnswer: -2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10*z + 49 = 5*z, -z - 5 = 0. Let t be (-2)\/h + (-5)\/(-15). Solve 0*g + g = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 170, -141723.\nAnswer: -141723, 15, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86218 + -86217. Factor m + 5\/6*j + 1\/6*j**2.\nAnswer: (j + 2)*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 159, 323, 543, 813?\n\"Answer: -q**3 + 37*q**2 - 2*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 320903.\nAnswer: 3\/320903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(9)) + (sqrt(80)\/sqrt(2) + sqrt(40))\/sqrt(8))**2 + sqrt(55)\/(sqrt(77)\/(sqrt(7) + sqrt(35)\/sqrt(5))).\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -29. Suppose o*x - 6*k + k = 21, -4*k - 24 = -5*x. Find j such that 24*j - 5 - 3 + 3*j**3 - x + 0 - 15*j**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - y**4 - 2*y**4)*(-2199 - 1697 - 514).\nAnswer: -4410*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.95 - -1.95. What is the closest to i in -3, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6688958 less than -7.55?\nAnswer: 6688950.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -157*h - 2. Let w(g) = -70*g - 1. What is -3*r(m) + 7*w(m)?\nAnswer: -19*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -90bb?\nAnswer: -9103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -15\/7, 0.2, 0.3, -1?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(325))*-1 + (sqrt(156)\/sqrt(4) + sqrt(39) - sqrt(39))\/sqrt(3)*4.\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 3 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 12 = 103. Let f(m) = m**3 + 2*m**2 - m. Let a be f(-4). Let l = k - a. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/8, -0.4, -3.\nAnswer: -3, -0.4, 1\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 5*i**2 - i - 1. Let n be w(-2). Solve -3*d - 9 = q, -n*d + 3*d = -4*q + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10258, -20963, -32114, -43705, -55730, -68183?\n\"Answer: u**3 - 229*u**2 - 10025*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 89. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/7, -14 in decreasing order.\nAnswer: 0.5, 2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 38531.55s?\nAnswer: 38531550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*c**2 - 2064*c**2 + 39*c + 1044*c**2.\nAnswer: 3*c**2 + 39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 less than -0.2?\nAnswer: 120.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 6. Let j(u) = 5*u**2 + 0*u - u**z + 3*u - 5*u**3. Let g be j(5). What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.207 - 0.007. Let w = d - 17.9. Which is the second biggest value? (a) -0.09 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -4, 3, 4, -1.\nAnswer: -4, -1, 3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23220, -23213, -23206?\n\"Answer: 7*c - 23227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2590059 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, 385, 1509, 3707, 7339, 12765, 20345, 30439?\nAnswer: 43407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 5) to base 12\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 64 = -68 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 - 7*n - 8. Suppose 0 = p - 3*y + 15, -3*p + 0*y + 5*y = 29. Let g be d(p). Let x = g + 52. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1114 - 683. Suppose x + 4*a = 228, -b = -2*x + 3*a - 6*a. Calculate the greatest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9) - (32307\/594 + -45)) + 9.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11173 times 0.0077\nAnswer: -86.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15205*s**3 - 8503*s**3 + 34818*s**3 + 28676*s**3 + 18591*s**3.\nAnswer: 58377*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = 8*s - 128 - 160 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 7*q**3 + 9*q**3 + 28*q**2 - 28*q**2.\nAnswer: 16*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1050257122 rounded to four decimal places?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 51 = 0. Suppose -4*z + y + 37 = 0. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 227, 1825, 6171, 14639, 28603, 49437?\n\"Answer: 229*s**3 - 5*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36975, -37266, -37557, -37848, -38139?\nAnswer: -38430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5181\/2 + 2592. Let o(q) be the first derivative of 4*q - 2\/3*q**3 + 3 + i*q**2. Give o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971892025?\nAnswer: 5, 78875681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 20 = 5*s, -13*a + 2*s - 204 = 48 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bakbbbykbkbbkkkzakkk. What is prob of picking 1 y and 1 k?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roomooiorrroro. What is prob of picking 2 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000561237394 rounded to seven decimal places?\nAnswer: -0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55860\/(-7938) - 2\/(-54)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4) + (-826)\/13 - 23454\/50817?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -9064?\nAnswer: 9054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/3 - 16108420*b\/3 - 5369474 = 0.\nAnswer: -1, 8054211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 501, 521, 551, 597, 665, 761, 891, 1061?\n\"Answer: x**3 - x**2 + 16*x + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -11 - (1 - -2) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 2. Let r(i) = -i. Let h(t) = -2*r(t) - x(t). Let k be h(-2). What is the third derivative of 17*v**k + 22*v - 46*v + 24*v - v**2 wrt v?\nAnswer: 408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:41 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-11)*4\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 7\/2)*-4. Suppose 2 = -0*q + y*q. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -32*w**2. Let c(m) = 119*m**2 + 2. Calculate c(s(x)).\nAnswer: 121856*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 129, 4.\nAnswer: -5, 4, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3914928 and 11744783\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -35620.\nAnswer: -3562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 566, 1102, 1618, 2114, 2590, 3046?\n\"Answer: -10*u**2 + 566*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -2*r - 21, -1269 + 1263 = -5*r + 2*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 6. Let m(x) = -x - 1. Let y(k) = a(k) + 6*m(k). Let c(t) be the second derivative of -t**4\/12 + 32*t + 1. Calculate y(c(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -814, -815, -822, -841, -878, -939, -1030, -1157?\n\"Answer: -y**3 + 3*y**2 - 3*y - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72729921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 6. Let u(f) = 4*f + 1. Let l be u(2). Let r be i(l). Differentiate r - 4*y**4 + 6*y**4 + 12*y**4 with respect to y.\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081397637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 367*v + 3075. Determine f(-9).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 554 + 13?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*3\/(-9)*1. Let j = -4 + 8. Let i be (1\/a)\/(j\/(-6)). Are i and 6\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31573967183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2973481 and 777518?\nAnswer: 220037594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (680\/(-36))\/(-5) + -4. Which is the nearest to u? (a) 5 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 - 22*x**2 - 4*x**2 + 20*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(1092\/18))\/((-8)\/(-7)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f + f = -1806340. What is f rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164581034 and 626.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/2691 and -32\/67365?\nAnswer: 20142135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 30. Let j = 23824 + -238643\/10. Let y = j - -40. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -9340737.98868.\nAnswer: 9340740.98868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -3 (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 1. Let j(z) = z + 3. Let b(k) = 2*k + 4. Let y(a) = 3*b(a) - 4*j(a). Give q(y(v)).\nAnswer: 12*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(162))\/((-2*sqrt(6)*4 + sqrt(6))*1)*6.\nAnswer: 54*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76072 and 635818?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jajj when four letters picked without replacement from {w: 3, j: 7, a: 9}?\nAnswer: 105\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 49128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 2*v - 27637*v**2 + 55276*v**2 - 27644*v**2 - 4*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 26*s**2 + 47. Let c be r(-26). Differentiate 57*w**2 + c*w**2 - 1 - 83*w**2 with respect to w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.09969\nAnswer: -0.019938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.543419 rounded to 2 dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1835 - -2685. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a + 220. Let l(h) = -20*h**2 - 233*h + 2. Determine l(t(c)).\nAnswer: -1620*c**2 - 81297*c - 1019258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 597445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -9. Let u = -181 + 183. Solve 5*v + x = i, -u - 3 = v + 3*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(26)*-2)\/(sqrt(288) + sqrt(288)*2 + sqrt(288) + sqrt(2)))**2 + 2 + (((-2*sqrt(325) - sqrt(325)) + -2)**2 - sqrt(325)).\nAnswer: 55*sqrt(13) + 7039203\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-3 - w + 3)*(-11 + 20 - 2).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/4*4 - (-77)\/(-21)*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 102*l + 891. Let v be n(-8). What is the highest common factor of v and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 389 + -346. Suppose h = 48 - a. Let f(q) = -q + 1. Let d(n) = -n + 1. Let r(b) = -4*d(b) + 5*f(b). Let s(g) = -g + 1. What is h*r(p) - 4*s(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + a + 14 + 9 - 21 = -35, -2*h = -5*a + 31 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {s: 1, a: 1, l: 3, j: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 145817, 583155, 1312051, 2332505?\n\"Answer: 145779*n**2 + n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1.5, 1\/7, 5552 in decreasing order.\nAnswer: 5552, 80, 1\/7, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 65, 131, 223, 341?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let p be w(1). Solve 0 = -4*o - 2*t + 20, -p*t = -2*o - 3*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/9 + 461869*h**2\/9 + 25639946*h\/9 - 12935440\/9 = 0.\nAnswer: -56, 1\/2, 230990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4445*i - 20 = -4*j + 2224*i + 2219*i, 3*i - 15 = -5*j - 2*i for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7900 + 4835. Let t = g + -5674. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -317187?\nAnswer: 317183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464900?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7017.21 - 7017. What is the biggest value in 2\/3, -9, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095249?\nAnswer: 3, 67, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 61 = 6 - 3. Let m(p) = p**3 + 10*p**2 + 20*p - 7. Give m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 - -115. What is the least common multiple of 20 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49614, 49594, 49556, 49494, 49402, 49274, 49104, 48886?\nAnswer: 48614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 5)*(-4)\/(60\/(-25)). Suppose 1 = -3*p - 2*x, -3*p - 4*x + 4 - 9 = 0. Let f be ((-1)\/p)\/(1\/1). Put z, -4, f in decreasing order.\nAnswer: z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -3211120?\nAnswer: 3211124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 284 + 88 = 0. What is the greatest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99848 is divided by 2954.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11019054?\nAnswer: 2, 3, 853, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1733 = 1703. Let m be (2\/2 - -2)\/1. Suppose y = m*r - 0. Solve -2*a + r + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82199 and 702?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2050054213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 5*j + 39)*(6 + 0 + 0)*(-j - 4 - j + 5).\nAnswer: -60*j**2 + 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 432101?\nAnswer: -432104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 + s - 15. Is v(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.20000092 + 5.2. What is r rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/35*-4*29\/348?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 45. Calculate the remainder when g(-9) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 0*i + 154 + i - 154. Let u(t) = -4*t**2 - 2*t - 7. Let d(a) = -5*b(a) + u(a). What are the prime factors of d(12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - (9 - -5)) + -2 + 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-94)\/(-18) - 7\/(-63)*-2. Suppose 9*z = 7*z + 4. Calculate the highest common divisor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f**2 + f - 10. Let b be w(3). Let n = 146 + b. What is the lowest common multiple of n and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1418356 - -4918356. What is d rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 15. Let z(j) = j + 1. Let f(o) = -t(o) + 4*z(o). Let x be f(10). What is the second biggest value in 2\/13, 3, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18401738 divided by 4?\nAnswer: -9200869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 4*o - 6. Let h(d) = -d**2 + d - 1. Let f(n) = -2*h(n) - p(n). Let u be f(-7). Let m be 10\/8*(-3 + -1). Sort u, m, 5.\nAnswer: m, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503 is divided by 79.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1)*(-42)\/(-3). List the prime factors of 4\/(-14) - 60\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 129. Which is the biggest value? (a) z (b) -7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 11. Let s(p) = -1 + 18*p - 31*p + 14*p. Let r(c) = -4*s(c) - v(c). Calculate r(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 2 + -1*sqrt(448))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/(-570)*75\/(-18). What is the third smallest value in -1, 15, v?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219108 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 + 32 = 4*n. Calculate the remainder when n is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5517, 11037, 16557, 22077, 27597?\n\"Answer: 5520*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*s + 4, x - 4 + 2 = 5*s. Let j(u) be the second derivative of 0*u**3 + s*u**2 + 1\/3*u**4 + 0 + 2*u. Let t(c) = -2*c. Calculate t(j(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/7 + 1073684*x**3\/7 - 416211552*x**2\/7 + 5739278928*x + 26968602704\/7 = 0.\nAnswer: -358282, -2\/3, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k - 5. Let c(p) be the first derivative of 4*p + 0*p**3 - 2*p**2 + 1\/4*p**4 - 7. Give 5*c(r) + 4*y(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 613\/6. Which is the nearest to -0.4? (a) x (b) -4\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 5 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*b + 34558 + 2 = 0 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285508*m**3 - 570967*m**3 + m**2 + 285532*m**3.\nAnswer: 73*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 + 108*a**2 + 12*a**2 + 2271*a**4 - 1679*a**4 wrt a?\nAnswer: 14208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 155 and -112223753274?\nAnswer: 112223753429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11131 is divided by 271?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130884.\nAnswer: 2, 3, 13, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4636 - -4781. What is the greatest common divisor of 5945 and w?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(189)*-1 - sqrt(21))\/(sqrt(243)*1).\nAnswer: -2 - 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, -1515, -2312, -3125, -3948, -4775?\nAnswer: -5600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - -2) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*v + 31, -6*v - 12 = -3*v. Let c(s) = -239 + 239 - q*s. Let d(m) = 2*m**2. Determine c(d(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*k + 152*k - 502 = -82*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*z - 34, 3*i + 2*z + 34 = z. Let f = 375 + -910. Let r = f - -537. Put r, i, 1 in decreasing order.\nAnswer: r, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -29.9. Let v = 28815 - 28820. What is the second smallest value in y, v, -2\/7, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 209*n**2 + 57. Let p(d) = -15*d**2 - 4. Let b(t) = 26*t + 256. Let h be b(-10). What is h*s(o) - 57*p(o)?\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22901393 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -84*o + 21. Determine y(-4).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -933 - -936. Let k(q) = -q**2 - q + 1. Let g(w) = w**3 + 2*w**2 + 8*w - 9. Let s(h) = g(h) + 5*k(h). Calculate s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 = -59*k - 65 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 12:26 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*n - 17543 = 0, 4*n = x - 4248 + 725. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 139, -5, 1 in ascending order.\nAnswer: -5, 1, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340722919 - 340722779.999889. Let o = p + -139. Round o to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*((-19)\/(-5) - 3). Suppose -27 = -r + b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160 or -15745?\nAnswer: -15745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {q: 15, d: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130.47 - -130.17. Which is the third biggest value? (a) -5 (b) -4 (c) -2.3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2b49?\nAnswer: -2b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - 6*s + 2. Let c be w(-7). Let l = 469 + -466. Let m be 0\/1*(1 + -2). Sort c, l, m in increasing order.\nAnswer: c, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.59 - 0.58999938. What is j rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 251354, 502706, 754058?\n\"Answer: 251352*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d**3 + 2*d - 1. Let c be o(1). Suppose -3*q + c = -15. Let b = 246 - 238. Calculate the lowest common multiple of q and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.1 (c) -330 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 20*n - 78. Let s be v(4). Let u be s\/(-13) - 6604\/(-7774). Is u less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1860*y**2 - 544?\nAnswer: 3720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678*(0 - -38 - 3\/((-21)\/(-35))).\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3853*n*y - 634316870*n + 22472*y wrt y.\nAnswer: 3853*n + 22472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 2\/7, -1, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88838 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4) + (-10 - -6 - -3). Sort 1, -2\/9, d, -75 in decreasing order.\nAnswer: 1, d, -2\/9, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(30\/4)*30\/40?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9797, -19620, -29473, -39368, -49317, -59332?\nAnswer: -69425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/24 - c**3\/6 + 3*c**2. Let b be 2\/4 + (-11792)\/(-32). Let k(m) = -5*m - 369 + b + 4*m. What is 3*d(j) + 2*k(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008389704 to 5 dps.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2624164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:10 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2899062 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmr when three letters picked without replacement from lrqgmmcq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(28) - (-2 + sqrt(28) + -4) - 2*sqrt(4032))**2.\nAnswer: -576*sqrt(7) + 16162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24822 divided by 7?\nAnswer: -3546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7064240 and 253105?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9 + i**3 + 3*i**2 + 24 - 3 - 9*i. Let o be g(-5). Is o greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**21\/j*(j**(-1\/2)\/j)\/j)\/(j**2*(j\/(j**(-9)\/j))\/j*j) assuming j is positive.\nAnswer: j**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j**3\/3 + 196168*j**2\/3 + 199032122*j\/3 + 4292608324 = 0 for j.\nAnswer: -1927, -1734\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**4 - 2*f**4 - 6*f**2 - 14*f**2 + 22*f**4 wrt f.\nAnswer: 576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7113482710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + 10 + 3 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*b**2 - 96*b**2 + 1560*b + 122*b**2)*(2*b**2 + 2*b**2 + 8*b**2 - 16*b**2).\nAnswer: -4*b**4 - 6240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 20045160?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -2 - (-129 + 306 + 11 + -79).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -7657?\nAnswer: -4\/7657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00282333 to five dps.\nAnswer: 0.00282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/80)\/(41\/(-164)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4888151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67 in 3, -0.02, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/3 - 424\/21. Let s be (-2 - -5) + (-231)\/75. Which is the nearest to 0.1? (a) -5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*z**4 + 54*z - 8*z + 177*z**4 + 5 - 3*z**2 - 3 - 3*z**3 to y*z**3 + c*z + x + s*z**2 + m*z**4 and give c.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/9)\/(4\/6). Find the third derivative of 17*l**2 - 16*l**4 + 19*l**a - 3*l**2 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 503030 and 402424.\nAnswer: 2012120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/13? (a) -2 (b) -1\/3 (c) -0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 14*q - 18. Let h be r(-17). Let a be (-1)\/(h\/(-36) - (-2)\/3). Solve -1 = a*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 229074793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.498 - 1.532. Let u = -0.03 - m. Which is the third biggest value? (a) 5 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 11\/7*c**2 - 28 + 24\/7*c - 2\/21*c**3. Solve y(m) = 0 for m.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -49. Let c(f) = -f**3 + 10*f**2 - 10*f + 29. Let i be c(o). Solve -3*h = h + i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 30 = 7*c. Let x = c + 12. Suppose 5*l + x*h = 46, 7*l - 49 = 2*l - 3*h. Is 8 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14550 + 18638. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1 - 23. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3273525*z**5 + 8*z**4 - 2733*z + 4084 wrt z?\nAnswer: 65470500*z**3 + 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 135*b + 2029. Let x be l(-15). Solve d = -x*p + 2*d - 3, -4*p = 2*d - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 2?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/3, -0.5, 258, 2\/7, -14, 3, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*f + f**2 + 361*f - 106*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 6. Let g be x(5). Let t(i) = i**3 - i**2 - i + 3. Let m be t(0). Suppose 31 = m*r + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*w + w = 25, 3*w = -34*s - 164 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -28*y**3 + 4*y**2 + 4*y - 3. What is the hundreds digit of j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 9 = 66 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -31*c - 252. Calculate the remainder when g(-34) is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 62. Suppose 4*d - 8*d - 4*f = -c, -3*d + 21 = 4*f. Solve r = -4*g + d, 0*g - 1 = -r + g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/2*1\/4)\/(114*(-222)\/101232)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 14*k**2 + 13*k + 13. What is the units digit of y(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/1476)\/((-2)\/(-12)*44*(-15)\/(-165))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700)*2 - sqrt(2700) - sqrt(2700))\/(sqrt(9) - -6*(sqrt(18)\/sqrt(2) - sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkmm when four letters picked without replacement from {k: 2, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*((0 - -1) + (-62)\/310).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 16 + 0*l - 5\/4*l**4 + 4\/5*l**5 - 1\/6*l**6 + 0*l**2 + 2\/3*l**3. Factor q(a).\nAnswer: -a**2*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0536 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1167, -2.\nAnswer: -1167, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171474, 342002, 512542, 683100, 853682, 1024294, 1194942?\nAnswer: 1365632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/13)*(h\/(h**(-2\/21)\/h))\/h assuming h is positive.\nAnswer: h**(383\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10777?\nAnswer: 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151 + -23 + (-717 - -705) + -1 + 1 + 10?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a factor of 45565040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-4 - s**4 + 4) + 18*s**3 - 9*s**3 - 7*s**3 + 8*s**4.\nAnswer: 10*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-15) + 66\/9. Let v(t) = t**3 - 11*t**2 + 18*t - 10. Let p be v(r). Let a be p\/24*4\/(-10). Put a, 0.1, 1\/8 in increasing order.\nAnswer: 0.1, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 25*t**2 + 76*t + 100. Give m(8).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3. Suppose 3*c - 8 - 2 = 2*d, 0 = -5*d + 4*c - 11. Let z be 0\/(-10)*d\/2. Let p be z\/(1 - (-3 + 1)). Give l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + -0.35. Which is the smallest value? (a) 0.2 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:44 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 2*c**4 - 2*c**4)*((-2 + 2 - 2)*(13*c + 3*c + 0*c) + 3 - 3 - 2*c).\nAnswer: 34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1.8, -2, -1 in decreasing order.\nAnswer: 1, 0, -1, -1.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13918*u + 13905*u - 403 = 0 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2448855 take away -132629?\nAnswer: -2316226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppppcpppccpp.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = u + 96. Suppose t - 5*t + 184 = 0. What is the remainder when t is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6787 divide 191250873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 3 - r**3 + 4*r**3 - 2 + 3*r**2 - 2*r**3. Let j be v(2). Solve -3*d = -0*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (2 + -4))*1\/2. Suppose 0 = -3*r + 4*b - 7 + 39, -2*r + 5*b + 33 = p. Suppose 0 = -n + r - 1. Calculate the remainder when 6 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.788493 millennia to decades.\nAnswer: 478.8493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.301 + 0.101. Let k = -4 + 2. Do k and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9348 * -0.631\nAnswer: -5898.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1236, 1248, 1272, 1314, 1380?\n\"Answer: p**3 + 5*p + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 3, -5, -0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -846*k**3 - 7*k**2 - 41*k - 19. List the prime factors of m(-3).\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, 0, -12 in descending order.\nAnswer: 235, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (-38 - -1) - 30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 6*h - 3. Suppose 11 = 2*c + 1. Give v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 18 = -12*k - 12*k - 6*w, 0 = 3*k - 12*w + 36 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*j + 24*j + 2424. Which is the fourth biggest value? (a) -0.4 (b) j (c) -8\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 4*g - 1. Let h be 2\/(1\/1 - -1). Suppose -m = -h - 5. Let i(f) = f**2 + 3*f + 1. Give m*i(x) + 4*p(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189687 + 14845 = -2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 6, 27, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3974598 is divided by 794919.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1. Let r(f) be the second derivative of f**3\/3 + 7*f**2 - 41*f. What is -2*r(w) + 28*y(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y = 2 + 274 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (18109\/(-39))\/((-2)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1302\/465*20*2\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -43. Suppose -h*f + 915 = 2*f + 2*n, 0 = -4*f - n + 732. What are the prime factors of f?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-2)*(-5)\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from {m: 5, y: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65074 and -45570.2.\nAnswer: -110644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 360 = -27*q + 5*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 5 = 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 11) to base 12\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -767 - -769. Is -278 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -2*m - 2*s - 3*s, 4*m = -2*s + 334. Suppose 2*u + m = -2*u. What is the remainder when (1*15)\/(u\/(-154)) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/43499 and 139\/6?\nAnswer: 260994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4 + 1. Let y = 0 + m. Let q = 6 + y. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231639, -231636, -231633, -231630, -231627?\nAnswer: -231624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 13) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:08 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8331.3, -2, 0.2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.46 - -16442?\nAnswer: 16444.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 8*h - 9. Find the second derivative of -5 + 5 + 0 + h*z**2 + 5*z wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*u**3 - 21700*u**2 - 2618465*u - 580810 = 0. Calculate u.\nAnswer: -241, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 15001, 5 in decreasing order.\nAnswer: 15001, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44227 - 23995. Let z = -10153 + g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c)**(-2\/11) assuming c is positive.\nAnswer: c**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 8*m + 4. Determine i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + 4*d)*(1 - 1 - 2*d) to the form g + f*d**2 + v*d and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecce when four letters picked without replacement from {c: 9, e: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 5*r = 33*d + 17, -13*d + 2*r - 21 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 6274?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -q - 2*q + 2*b, -q + 17 = -2*b. Let d(t) = 17*t**2 + t + 32. Let z be d(q). Let c be z*(2695\/(-15) - -3). What is c rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250727 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*o + 376 + 206 = 0, -581 = 5*s + 4*o. Let q = s - -121. Solve -3*y + 7*y = -q*a - 12, -2*y = a + 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (12 + -1) - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335 * -139.\nAnswer: -46565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11096 and 0.08?\nAnswer: 11096.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22d (base 14) in base 6?\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 913, 1351, 1777, 2191, 2593?\nAnswer: 2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = 3*p, -w + 0*w - 3*p = 0. Let c(s) = s**3 + 5*s**2 - 5*s - 8. Determine c(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 734*j - 253005.\nAnswer: (j - 2505)*(j + 303)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 250, 983, 2200, 3901?\n\"Answer: 242*v**2 + 7*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33001022020 (base 4) to base 13\nAnswer: -a7ac3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + (23 - (1 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 2. Let t be y(3). Let k(c) = 8*c + 7. Let v(q) = -q - 1. Give t*k(b) - 6*v(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by -22459\nAnswer: 465\/22459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 + z - 56. What is the tens digit of k(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(76))*-5 + (sqrt(76) + (0 + sqrt(76) + 3 - sqrt(76)) - sqrt(76)) + -5 + 4)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 960839.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - 9\/(-18)*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133121 + -25?\nAnswer: -133146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/5 (b) 2\/9 (c) 3 (d) -205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 + 7*a + 1. Let r be i(4). Let q be r\/(34\/10 + -4). Suppose 580 = 5*o - q*w, -51 + 617 = 5*o + 2*w. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 - ((-28)\/(-7) - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 21*w - 5 = -3*d, -5*w - 3*d + 40 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114)*2 - ((sqrt(2754) - sqrt(2754)*-4) + sqrt(34)))\/((-4*sqrt(16)*-1)\/(sqrt(8) - (sqrt(8) - (sqrt(24)\/sqrt(3) + sqrt(8)))*1)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 12*o**2 - 4*o - 2. Let x(y) = 4*y**3 + 47*y**2 - 17*y - 9. What is -18*i(f) + 4*x(f)?\nAnswer: -2*f**3 - 28*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 8:51 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 8*u**5\/5 - 904*u**4\/5 - 8662*u**3\/5 - 15064*u**2\/5 + 4402*u - 1220 = 0.\nAnswer: -5, 1\/2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 16 - 94. Let y = u - 2. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/320 + 59\/(-5664)*-489\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 10*s + 5. Let k be 2\/(2 + 9\/(-4)). Is y(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*l = 16, -71 + 47 = k - 5*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2031234 (base 5) to base 15\nAnswer: 9d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 30 - 20. Suppose 3*l = -d*k - 3*k + 35, 0 = 2*k + 4. Suppose 0 = 2*u - 107 - 189. Calculate the remainder when u is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 1\/2, -0.3, -0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857195 divided by -1?\nAnswer: -2857195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -42116.\nAnswer: -42111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 4. Let z(f) = -f - 4. Let m(s) = 6*g(s) + 7*z(s). Let n(r) = r - 1. Suppose -b - 26 = 4*v, b - 3*v + 157 = 180. What is b*n(y) - m(y)?\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 18, 29, 44, 63?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 276 - 127 - 161 + i to o*i + s and give s.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -1, 2 in descending order.\nAnswer: 2, 5\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*l = 2, 2*l + 1 = -o + 6*o. List the prime factors of 33 + 5*o\/5.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/((h*h\/(h\/(h*h*h**(1\/3)*h*h))*h)\/h*h))\/(h**(-1\/5)*h**(2\/3)) assuming h is positive.\nAnswer: h**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/60 - 11*c**4\/24 + 11*c**3\/6 + 8*c**2. Calculate the remainder when 32 is divided by x(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yce when three letters picked without replacement from xxxchchexeyyexxyyx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1451 in -0.4, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 212\/18 - (-2)\/9. Suppose -51 = -5*y + 2*a, 2*y - k = -2*a + 7*a. Factor c + 2*c**3 + 59*c**4 + 4 - 61*c**4 - y*c + 6*c**2.\nAnswer: -2*(c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.167 take away 4?\nAnswer: -0.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 41496*k**2.\nAnswer: -2*k**2*(k + 20748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1540080?\nAnswer: -1\/128340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from vvovovoissuouvov.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 4 - 6*u - 10*u to the form q*u + r and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 18714014.\nAnswer: 18714014.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = 7372. Suppose 3*l + 56 = -2*c + t, 3*l = 4*c + 3648. Suppose m + 3*m - 6116 = 5*z, -l = z + 2*m. Round z to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - 0.34. Let c be (-2093)\/546 - 3\/18. What is the second smallest value in c, u, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25992 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*m + 2, 3*x - 18 = 5*m + 4. Let b(i) be the third derivative of 1\/24*i**x + 0*i + 3*i**2 + 0*i**3 + 0. Let r(u) = 3*u**2. Determine b(r(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + (1*sqrt(170) - sqrt(170))*1)) + sqrt(170) + sqrt(170))*-3)\/(-2*sqrt(40)\/sqrt(4)*1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 18 = -24. Let i(k) = 2 - 2 - 89*k**2 + 88*k**z. Let r(o) = -2*o**2. Determine i(r(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j**3 + 2*j - 1. Give g(2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times 3009251?\nAnswer: 3310176.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Let k = 5.6 - 5.4. Which is greater: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-2)\/6*7. Let r = -1.7 + 1.67. Let y = r - 17.97. Which is the closest to y? (a) -1 (b) l (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (15 - (-20 - -19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 5*o - 4. Let g be s(2). What is the biggest value in g, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 + x + 1. Let l = -7 - -22. Let r be 1 - (-5)\/(l\/(-36)). Let z = r + 13. What is o(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {k: 1, t: 1, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 12. Let o(y) be the second derivative of 0*y**t + 1\/3*y**4 + 0 + y + 0*y**2. Let k(b) = 2*b**2. Give k(o(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 4. Let i be t(2). Let c be 4 - ((-1896)\/(-4))\/i. Let m = -90 + c. List the prime factors of m.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 30. Let r = p + -5. Let i be r\/10 + (-1)\/2. What is the smallest value in 3\/4, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(567)*2 - 2*sqrt(2268))\/(((sqrt(324) + sqrt(324)*3)\/sqrt(6))\/sqrt(6))*4.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 9*d**2 - 10*d + 4. Let i be l(-8). Let g be ((-2)\/52)\/(5\/i). Let c = 328 - 326. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a**2 + 6*a - 7. Suppose -2*j = 5*i - 21, 0 = 4*j + 2*i - 0*i - 2. Let s be 64\/28 + j\/7. Suppose -2*r - s*r = 24. What is k(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354681169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h + 8. Give n(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 + -309?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1111 + -47746?\nAnswer: -51057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 - 3866*u**2\/5 - 2825658*u\/5 - 445808286\/5.\nAnswer: 2*(u - 2527)*(u + 297)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10\/((s*s*s*s\/(((s*s*s**(2\/31))\/s)\/s)*s)\/s) assuming s is positive.\nAnswer: s**(188\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29771596664191936 - 29771596355372835.36000109. Let o = -308819103 + p. Let y = -2.36 - o. What is y rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19739699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*j + 2, 8*j - 3*h - 8 = 3*j. Which is the closest to j? (a) -0.1 (b) -4\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14990119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.01775045362 - -75\nAnswer: 74.98224954638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + 24. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-20) - 86\/860.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000222980419 rounded to 7 decimal places?\nAnswer: 0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q*(q\/(q**(-2\/9)\/q))\/q)\/(q**(-8)*q*q*q**(1\/5)))**(-34) assuming q is positive.\nAnswer: q**(-13804\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2869 bigger than -3065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 15*s**2 + 28*s**3 + 31*s**3 - 37*s**3 + 10 - 35*s**3 + 3*s in the form y + f*s**3 + v*s**2 + q*s and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycyk. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/17)*a*a\/(a*(a\/a**(-3))\/a)*(a*a**4)\/a**8)**28 assuming a is positive.\nAnswer: a**(-1848\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.7091 - -19.7. Round a to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5128 times 19?\nAnswer: 9.7432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/7))**(-20)\/(s**(-31)\/s)**28)**(-2\/49) assuming s is positive.\nAnswer: s**(-12384\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:55 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 11*o + 32. Suppose -11 = -2*t + 3*p, -5*t = 20*p - 16*p - 39. Let d be j(t). Solve 0 = d*s - 4*i + 36, 0*s + 2*i = -s + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597802 is divided by 270.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/3 + 2*s**2 - 28*s. Let z(h) = -h**2 - 5. Let r be z(0). Give p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**6\/180 + c**5\/30 + 2*c**3\/3 - 3*c. Let b(q) be the second derivative of t(q). Find the second derivative of b(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.599 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13*i. Let k be 4\/7 + 9\/21. Let v be o(k). Suppose v = 2*j - 177. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 88, 112, 144, 184, 232?\n\"Answer: 4*p**2 + 4*p + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 1 - 313339*w + 312571*w + 490*w**3 wrt w.\nAnswer: 2940*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 287\/3, 1, -0.1, -2, 18\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 4920?\nAnswer: 491b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 6a6?\nAnswer: 6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5803977 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31934335087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 744 and 2311?\nAnswer: 1719384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(15*(-10)\/4*38\/(-760))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3854 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772624023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*f**2 + 33*f**2 - 52*f**2)*(79 + 56 + 219) to b*f + a + i*f**2 and give i.\nAnswer: -11682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74335227 divided by -3?\nAnswer: 24778409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78 + 18*i - i**3 + 42*i**2 - 133*i - 4*i.\nAnswer: -(i - 39)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1183, -2364, -3545, -4726, -5907, -7088?\n\"Answer: -1181*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 70*z**2 + 67*z - 59. Calculate c(69).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617629.\nAnswer: 71, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 p when three letters picked without replacement from {f: 2, p: 1, n: 1, r: 1, g: 1, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 7740. Suppose -3*q - 4 = -z - 1, -2*q - 2 = 0. Suppose z*t - n = -3*i + 5*t, -t = 3. Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z - 3*z)*(3*z + z - 2*z) + (z - 6*z + 0*z + (1 + 1 - 4)*(-4*z + 2*z + 0*z))*(-10*z + 30 - 30).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.135704 + 14773.\nAnswer: 14773.135704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/4 + r**3 - 2. Let y be c(-2). Suppose -4*l - 92 = -4*j, 3*j - y*j = -4*l - 26. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -212, -211, -210?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - w**2 + 3*w + 3. Let m be 1\/3*(13 + -1). Suppose -5*a - 3 = -m*l, a = -l - 0*a + 3. Does 7 divide g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340440 and 44712?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -20.3. Let w = -1.74 - 0.16. Let f = a + w. What is the second smallest value in 0.3, f, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349 - -12402. List the prime factors of g.\nAnswer: 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 g when three letters picked without replacement from {c: 2, w: 2, e: 3, g: 2, a: 1, l: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/5 (b) 0.05 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 9. Let n(b) = -2*b + 19. Let f(l) = -5*c(l) + 2*n(l). Let r be f(5). Is r\/(-4)*(-4 + 386) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 - (-51 + 38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4898)\/5530 - (1 - 9\/7). Put 1, q, 0.3, 0.5 in decreasing order.\nAnswer: 1, 0.5, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose 6*p = 2*p + 168. Suppose w = -5*g - g + p. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -80*k**3\/3 + 61*k**2\/2 - 18. What is the second derivative of b(j) wrt j?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 11. Let r be s(9). Solve h - 3*h - 10 = -r*m, 0 = h + 3*m - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 + v**3 - v**3 + ((-2*v + 0*v + 3*v)*(-5 + 2 + 2) + 6*v - 3*v - v)*(9*v**4 + 3*v**4 - 16*v**4).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**3 + y**2 - 5*y + 5. Let m(z) = -4*z**3 + 2*z - 2. Let o(d) = -2*f(d) - 5*m(d). Suppose o(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + g**4 + 1 + (4*g - g - g)*(0*g - 2*g**3 + 0*g) + (-5 - 1 + 4)*(-2*g**4 + 3*g**4 - 3*g**4).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*k**3 - 53*k**3 - 54*k**3 + (-3*k**2 + 0*k**2 + k**2 + (5 - 2*k - 5)*(-2 + 2 + k))*(k + 0*k - 3*k)*(6 - 5 + 1) + 3*k**3 - 5*k**3 + k**3.\nAnswer: -156*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2 - 197*o + 994.\nAnswer: 4*o - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113439983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -601007 and 6.\nAnswer: -601001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23 - ((-47 - -19) + 17)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 879\/10 bigger than 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 92?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*r + 469*r + 2*c - 12 = 0, 18 = -5*r + 2*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*p - 328, 2*p - 696 = 5*z + 133. Let l = 253 - 570. Let i = z - l. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5097 divided by -403\nAnswer: 5097\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 62*s**2 + 2*s + 2. Suppose 38*u - 528 = 22*u. What is the remainder when w(-1) is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -112*r**2 + 707*r. Let j(x) = -x. What is z(j(w))?\nAnswer: -112*w**2 - 707*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - v + 3 = 2*v, -2*v = -3*s - 2. Suppose s = 5*j - 4*w + 3, 0 = 4*j - 3*w + w. Is -2\/31 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135085017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5795*k + 86974. What is j(-15)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**3*t**2 + 146612*i**3 + 3*i - 25239923*t**3 + 41 wrt t.\nAnswer: -4*i**3*t - 75719769*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0928 + 442.9072. Let y = u + -443.000000628. Round y to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2 + 27*r + 30 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 35*h - 1. Calculate n(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 483 and 84.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwpe when four letters picked without replacement from {p: 2, k: 2, e: 1, b: 2, w: 1, u: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - -4.89. Let y = -4.9 + m. Which is the nearest to 1? (a) y (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 6, q: 3, d: 3, c: 3}. Give prob of sequence bq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 26249395181.\nAnswer: 26249395181.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**5)))\/(r**(-18)\/r))\/(r*r*r**(6\/7)*r*r*r)**(9\/2) assuming r is positive.\nAnswer: r**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 8:40 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 p, and 1 h when four letters picked without replacement from opeppopehoeoopopp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 35 = 3*j, -v - 3 - 3 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*g**3*k**2 + 33*g**3 - 2*g**2*k**2 - 4*g**2*k + 3*g**2 wrt k.\nAnswer: 26*g**3*k - 4*g**2*k - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -107939, 10\/217, -5?\nAnswer: -107939","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33608375201.1 + -756.\nAnswer: -33608375957.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 232*d + 13454. Determine y(-115).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let k(u) = u + 1. Let a(p) = 6. Let l(y) = -a(y) + 6*k(y). Determine z(l(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/4 - f**3\/6 - 13*f**2 - 40*f. What is the derivative of z(k) wrt k?\nAnswer: -15*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - -120002012?\nAnswer: 120010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9)*2)\/((400\/40)\/(-1260)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.1, -0.02, 0.045?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5570 is divided by 1113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1276 divided by 773\nAnswer: -1276\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 9*y**2 - 4*y**2 - 6*y**2. Let x(g) = 90*g. What is v(x(l))?\nAnswer: 8100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 642, 1163, 1684, 2205, 2726, 3247?\n\"Answer: 521*a + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 28*p**3 + 3*p**2 + 2*p + 1. Let l(w) = 111*w**3 + 13*w**2 + 9*w + 3. Let u(a) = -9*c(a) + 2*l(a). Find the third derivative of u(g) wrt g.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10100110001?\nAnswer: 10100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -50 + 16. Let f = -41 + c. Let t = f + 46. Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 52*j + 173*j - 8349120. What is the ten thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 times -2606.57\nAnswer: -161607.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 + 48. Calculate the highest common factor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 17. Let a(o) = 18. Let z(p) = -5*a(p) + 6*w(p). Let v(r) = -16*r + 91. Let d be v(6). Let m(c) = 7*c - 13. Determine d*z(q) - 4*m(q).\nAnswer: 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -919? (a) 60 (b) -24 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 205*g**4\/24 + 97*g**3\/6 + 254*g**2. Differentiate n(m) wrt m.\nAnswer: 205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggccgc. Give prob of picking 2 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-2) - (-1 + 2). Let m = g - 8. Is m != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*f - 1374 - 781 = 145*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/3))**(4\/7)\/((((p\/(p*p**(-5)*p))\/p)\/p)\/p**4))\/((p\/p**(-3))**21)**(2\/33) assuming p is positive.\nAnswer: p**(-538\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1476407.02 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -6. Let o = -5 - s. Suppose 4*a - a - 42 = o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 5\/4 (c) -6\/7 (d) 700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2452 - -6761. Is g a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49969.23 millilitres in litres?\nAnswer: 49.96923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5, z: 7}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y - 5*y - 11*y - 46*y.\nAnswer: -74*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + (-1)\/1)*(-2 - -21)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y. Let h(d) = 194*d**2 + 18*d - 9. Let b(l) = 48*l**2 + 4*l - 2. Let q(f) = 18*b(f) - 4*h(f). Calculate q(v(n)).\nAnswer: 5632*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -6*v. Suppose v*l - 732 = -3*l. Suppose 0 = 15*t - 17*t + l. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12388 and 988.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/63 or 0?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 36. What is the lowest common multiple of 7 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 8*t + 16. Let r be s(6). Let b(w) = 57*w**2 - w + 3. Is b(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g + 3*m = 1, g = 5*m + 6. Let f = -6 + 2.8. Let w = 1.2 + f. Do g and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 - 2*o + 10. Let y be k(5). Suppose h - 4*h + 7338 = y. Suppose 6*m + 4*a + 2422 = 8*m, 2*a = -2*m + h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14226431, -14226517, -14226603, -14226689, -14226775, -14226861?\n\"Answer: -86*i - 14226345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w - 96 = 0. Let y be (-9)\/6*w\/6. Find the second derivative of 3*x - 2*x**5 + 3*x - y*x wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 31*k - 49. Give s(-3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - z**3 + (-z**2 - 3*z**2 + z**2)*(-z - 2*z + 4*z) + 0*z**3 + 0*z**3 - 3*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*((-33)\/(-132))\/(-3*1\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -316752 take away 1648941?\nAnswer: -1965693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuubbvvevvvuee. Give prob of sequence vev.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**4\/21 - 5524*f**3\/21 - 3814322*f**2\/7 - 5347*f. Factor t(x).\nAnswer: -4*(x + 1381)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 5*f - 18*f - 28*f**2 + 26*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*u - 1033 - 331 - 664 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -42, -108, -246, -480?\n\"Answer: -4*t**3 + 10*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 - 2837004*g - 85106520 = 0.\nAnswer: -709221, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 20. Let m(i) = i**2 + 11. Let g be m(0). Let w(y) = 3*y + 7. Calculate g*w(r) - 4*b(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -15254?\nAnswer: -15227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1095\/(-12)*((-22680)\/225 + 100)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + 28. Let w = 91 - 196. Let s = w + r. Put 1, s, 0 in decreasing order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:10 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61816 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + 21. Calculate the lowest common multiple of 4 and b.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(3 - 7\/2). Suppose c = 2*n - 3. Let x be (625\/(-2))\/(n\/5632). What is x rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 650324*w**2 + 650229*w**2 + 1.\nAnswer: -95*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -165.5 * 18\nAnswer: -2979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f = -16*d + 5*f + 14*f + 7*f - 38, -23 = 4*d - 5*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 67. Solve -g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 - 455*g - 14*g**2 + 9*g**2 + 340*g in the form x + b*g**2 + s*g and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 0, 31 in descending order.\nAnswer: 82, 31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 303*i - 953984 = 0. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1142 + -362?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.232 + 0.232. What is the smallest value in -1\/33, p, 0.4, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1 + 2)*94. Let r = y - 165. Let l = 56 - r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 70828390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/2 + 2*d**3\/3 + 2*d**2 - d. Let f(x) = 7*x**2 + 3 - 3*x + 8*x + 2. Let a = 95 + -91. What is a*f(m) - 5*s(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiv when three letters picked without replacement from {t: 7, s: 5, v: 1, k: 1, i: 5}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 4*s**3 + 27\/2*s**2 + 6*s + 3. Factor c(a).\nAnswer: 3*(a + 2)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-8)\/(80\/(-190))).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2323 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.34476ml in litres?\nAnswer: 0.00334476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**4\/24 + 7*s**3\/2 - 1793*s**2. What is f(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 9 = -x + 5, -5*a - 2*x - 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2718, -3264, -4166, -5418, -7014, -8948?\nAnswer: -11214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - y - 4*y - 5650, 2*p = -4*y + 2284. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -0.2 (c) -3\/4 (d) -7 (e) -410 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7 (b) 0.29 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) + (-16)\/(-6). Suppose -6 = u - 4*q, -u + 33 = 4*u + q. Let s = -4 + u. Does n = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.94453 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+-7543\nAnswer: -7543.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254 and 8?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -35. Suppose b*r = 2*r - 5*n + 209, -402 = -2*r - 2*n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0794063 * 115\nAnswer: 9.1317245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 10*j - 8. Suppose 7*z - 3*z - 12 = 0. Let h be y(z). Let q = 34 - h. Calculate the lowest common multiple of q and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39932813?\nAnswer: 17, 19, 123631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0 (c) -2\/15 (d) -3 (e) -50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 3*k**2 + 9*k. Let o be g(-5). Suppose o*d - 3*d = 4. Suppose r + 7 = d*r. What is the greatest common divisor of 63 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 7) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 6*(sqrt(19) + -4)**2) + -4 + (-1*(sqrt(133) + sqrt(133) + (sqrt(133) - (sqrt(133)*-3 - sqrt(133)))) - sqrt(133) - sqrt(133))\/sqrt(7).\nAnswer: -646 + 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1036 divided by -28544\nAnswer: -259\/7136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -19 (c) 0.5 (d) -0.5 (e) -20\/9 (f) -0.2868\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33331344 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 13*l - 10 - 1\/2*l**2. Calculate the remainder when i(-10) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*k. Let b(s) = -s**2 + 7*s - 1. Calculate b(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 49096.\nAnswer: 3976776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -16. Suppose -9*y = -i*y + 4395. Suppose 4*v - y = 3675. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1293432699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-9))\/((-763)\/1962)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -92*c + 9. Let l(y) = 0 - 2*y - 1 + 3*y. Let k(a) = -4*l(a) - o(a). Let n be k(3). What is the highest common divisor of 37 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 8. Let t be (z + -4)\/(0 + -2). Suppose t - 5 = x. Which is the closest to 0.2? (a) -4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 558 - 453. Let u(d) = d**2 + d + 27. Calculate the remainder when u(0) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 1116*t**2 + 1112*t**2 + 1 + 2*t**3 - 57*t + 8*t**4 - 2228*t**2 to the form r*t**2 + m*t**3 + b*t + i*t**4 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -40*a - 9*a - 20*a + 51*a - 46*a. Let q(v) = -26*v. Give k(q(t)).\nAnswer: 1664*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/46922?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*u + 312*u = 4*c + 145*u - 361, 2*u = c - 74 for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26683.00065401 + -26683. Round m to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386876.4 litres to millilitres.\nAnswer: 386876400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/2 - 3994768*b + 7979085686912 = 0.\nAnswer: 3994768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j + 3. Let c be x(3). Let a be 2\/10 + 594\/55. Let t = c + a. Is t greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -433*o + 136*o + 2673 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-112)\/(-84)). Which is the closest to p? (a) 2 (b) 1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/168 - 91*k**6\/24 + 99*k**5\/20 - 87*k**2 - 7. What is the third derivative of y(m) wrt m?\nAnswer: -120*m**2 - 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 6*v + 14*v - 79 - 13 = 0, -3*v = -8 + 1 + 1 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(8\/5)*m\/(m\/m**(-22))*(m*m*m\/(m*m**(-4\/9)\/m)*m)\/(m*m*m**(-8)) assuming m is positive.\nAnswer: m**(-448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 608\nAnswer: 77\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 30126.\nAnswer: -90378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 205982171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 39 = -5*u, 3*u = -9*f + 8*f + 31. Which is smaller: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1016 and 40.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let z(l) be the first derivative of -34*l**2 - 27*l**2 - 27*l**2 + 41. What is z(q(a))?\nAnswer: -352*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:41 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - 16\/(-3). Suppose -p = -2*w + 7, -t*w + 0*w + 16 = -2*p. Suppose m - w*m = -4. Solve -n + 3*f + 0 + 10 = 0, 0 = 4*n + m*f + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {c: 1, o: 1, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m**2 + 5*m - 3. Let k be b(2). Let r(u) = u**2 + 6*u - 6. Give r(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b**2 - 4. Let s(g) = -3*g + 3250. What is s(a(p))?\nAnswer: -45*p**2 + 3262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -m + 24, -2*m - 4 - 3 = -v. Let p = 11 - 6. Let y(f) = -p + 16 + 0*f - f. Determine y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6274444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 151 + 99 = 0. Let w(l) = l - 23. Let r be w(0). Let u = r - c. Solve 5*z - 22 = -a, -u*z + 0 = 2*a - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 7764*m**2 - 46728*m.\nAnswer: 4*m*(m - 1947)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-5) + (-4)\/10. Let j = y - -7. Let k(h) = h**2 - 6*h + 4. Let z be k(j). Which is the smallest value? (a) 1 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12298488*v**2 + 2*v**3 + 12298488*v**2 + 6214 in the form g + w*v**2 + l*v + o*v**3 and give g.\nAnswer: 6214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.75 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1558 or 1560?\nAnswer: 1560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(0 + 1\/15). Solve -b - 2 = j*u, -b + u = 4*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 12*q - 3. Let t be o(-11). Let r be (-20999996)\/(-10) - (t\/(-20) + 0). What is r rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 560339800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259324180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -6253 and 60 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23962, 47794, 71636, 95488, 119350?\nAnswer: 143222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085388059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 610*v + 46972. Let q be n(-77). Factor -1\/5*c**q + 1\/5*c**3 + 1\/5*c**4 - 1\/5*c + 0.\nAnswer: c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-333)\/15*(-150)\/9. Calculate the greatest common divisor of 28675 and y.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.3. Let k = 0.116 - -0.084. Let t = 2.94 - -0.06. Which is the nearest to -1? (a) t (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -25*k**3 - 9*k**2 - 7. Let m(y) = 23*y**3 + 8*y**2 + 6. What is 6*j(v) + 7*m(v)?\nAnswer: 11*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 240 = 7*x. Suppose 4*c - x = -c. Calculate the greatest common factor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/3 - 106*l**3 - 972*l**2 - 15*l + 22. Suppose r(h) = 0. Calculate h.\nAnswer: -3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*m - 4*m. Let w(f) = 53*f - f**2 + 2*f**2 - 49*f - 2. What is the units digit of w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -73, -62, -47, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 15*p - 9 = 6*p + f, 2*p - 5*f + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) -3.56 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1982.479 decades to centuries.\nAnswer: 198.2479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-4) + 304\/24 and 45\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - 31 - -61) + -16?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.8 - -0.8. Let c = -0.0336 + 0.0336. What is the second biggest value in c, o, 0.08?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 411.415547 and -0.066.\nAnswer: 411.349547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = n, -y = -3*n + y + 32. What is the remainder when 8 is divided by 12\/(-10)*(-20)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + 4 - -4*1 is divided by 80\/24 - (-1)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w, 0*w - 5 = 5*d + 3*w. Let i be 4*(-1)\/(d\/6). Solve 0*l - c + 8 = -l, 5*l - c + i = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + a - 2*a = -2, 0 = 3*y + a - 10. Find the third derivative of -y*u**3 + 3*u**2 + u**3 + 0*u**3 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 75 = 4*x. Let d = -1997 - -2000. What is the lowest common multiple of d and x\/(1\/((-3)\/(-1)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*o + 217*k - 28*o**2 wrt o.\nAnswer: -k - 56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -i - 0*i + 6, -2*i + 2*o = -2. Let f(c) = -762 + 0*c + i*c - 14*c**2 + 761. Suppose -5*y = -14 + 9. Calculate f(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43615 and 3685.\nAnswer: 2922205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22783*s + 22838*s - 2567785. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 335?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*i + 21. Let y be (5 + i)\/(-3 - -2). What is the units digit of (y\/2)\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 + 30*c**3 + 19*c**2 - 28*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o - 1. Let u = -53 - -100. Let p = u + -48. Let c(x) = 7*x**3 + 5*x + 5. What is p*c(n) - 6*m(n)?\nAnswer: -n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-475)\/(-50))\/(3629\/1719)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 39*t**3 - t**2. What is h(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6\/17 (b) -4 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 46*j**2 + 93*j - 7. Let i be s(44). Suppose -16*b = i - 261. Sort -1\/4, b, -0.07, 1\/2 in descending order.\nAnswer: b, 1\/2, -0.07, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213 + 213.0199. Round t to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddjj when four letters picked without replacement from {j: 7, d: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -3, 0.22, 16, 2\/133?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + (-13)\/2. Let w = -2 - c. Solve -3*s + s = -w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205 and 148544?\nAnswer: 30451520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 129169900, 129169891, 129169878, 129169861, 129169840, 129169815, 129169786?\n\"Answer: -2*n**2 - 3*n + 129169905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 213*u**2 + 5736*u - 5520.\nAnswer: -3*(u - 20)*(u - 1)*(u + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:10 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:12 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2025 and 1966740?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -1, -474, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (80\/(-100) - (-42)\/15). Let k(b) be the third derivative of 0 + 0*b - j*b**2 + 1\/24*b**4 + 0*b**3 - 1\/20*b**5. Calculate k(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051456518.\nAnswer: 2, 3, 7, 313, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/(-39))\/(0 + (-33)\/9 + 3). Suppose -3*o - 7 - 14 = 0. Put o, 4, x in increasing order.\nAnswer: o, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.071 from -1.347.\nAnswer: -1.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -581, -5, 3\/4.\nAnswer: -581, -5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001249892312 to seven decimal places.\nAnswer: 0.0012499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a hour in seconds?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + t + 3*t = -35, -4*t + 127 = -5*n. Let b = -607 + 568. Let i = n - b. What is the remainder when 35 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**8\/336 + 33*f**7\/70 + 101*f**6\/40 + 61*f**5\/12 + 17*f**4\/4 - 87*f**2 - 2. Find s, given that u(s) = 0.\nAnswer: -1, 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -1, -9848 in descending order.\nAnswer: -1, -52, -9848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/28 + 296\/(-28). Let i(a) = a**2 + 10*a + 9. Calculate the smallest common multiple of 20 and i(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - 48*f + 6. Let b be d(10). Suppose b = 4*k + 6. Solve -4*w = 3*g + w + 5, 2*g + 5*w + k = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -320*j**2 - 911*j wrt j?\nAnswer: -640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01243134 to five decimal places.\nAnswer: -0.01243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37629.04 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 5*n - 8. Let l(v) = 4*v + 2. Let g be l(-5). Let x be 21*2*3\/g. What is the remainder when 11 is divided by d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 249700 to the nearest 1000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.3. Suppose -4*i + 2*z = -4, 0 = -2*i - z + 3*z + 4. Let h be (-1 - 8\/(-30)) + (-6)\/(-18). Which is the closest to i? (a) 2\/17 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 315?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*d - 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308 + 372. Let o = r + -64.000023. What is o rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + m)*(5*m**3 - 3*m**3 - 5*m**3)*(-1 + 0 + 4)*(4 - 4 - m + (1 - 1 - 2)*(-2*m - 2*m + 2*m)).\nAnswer: -54*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, -4 in increasing order.\nAnswer: -25, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b (base 14) to base 9.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 199*g + 0.\nAnswer: 199*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 807707.481 from 139.\nAnswer: -807568.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 940*s - 110450.\nAnswer: -2*(s + 235)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 12. Let q(u) = -2*u - 20. Let j be q(-13). Solve x + z = j*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1124\/11 - -102. Let i = -124.1 + 118. Let o = i - -7.1. Is o bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1 + sqrt(1053)))**2 + sqrt(1053))*-6.\nAnswer: -227664 + 3834*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. What is the first derivative of -6 + a - 7 - q**2 - 10*q**2 wrt q?\nAnswer: -22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9266, -36865, -82800, -147071, -229678, -330621, -449900?\n\"Answer: -9168*c**2 - 95*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1659*h*n**4 - 2*h*n**2 + 33806*h*n - 30*h - 10*n**5 + 2*n wrt n?\nAnswer: 19908*h*n**2 - 4*h - 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 231333322303 (base 4) to base 8\nAnswer: 55777263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g + 81. Give i(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(847) + 4 + sqrt(847) - sqrt(14)\/(1*sqrt(98)))*3)**2.\nAnswer: 5508*sqrt(7)\/7 + 210933\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 7218420.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*40*(-17)\/204. Which is the closest to j? (a) 0 (b) -3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 455 or 4539\/10?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -637, -646, -665, -694, -733?\n\"Answer: -5*c**2 + 6*c - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a decade in months?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 18*s - 12. Let x = -13859\/252 + 384\/7. Let r = x - -1\/4. Do s and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228223470 a multiple of 700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t + 43*t + 24*t**2 - 242*t**3 - 25*t.\nAnswer: -242*t**3 + 24*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 - 60. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 251966*f + 503916. Give c(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15*10575\/270720.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16064, -32114, -48156, -64190, -80216, -96234?\n\"Answer: 4*k**2 - 16062*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -513803862*t**2 + 3024*t - 2715?\nAnswer: -1027607724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102471.\nAnswer: 3, 34157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, k: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194727074 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 13*o**4\/4 + 688*o**3\/3 - 750. What is the third derivative of z(b) wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 11*j**2 + 3. Let t be n(11). Find the third derivative of -2*l**2 + 13*l**3 - 1 + 24*l**t - 11*l + 1 wrt l.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/10 - 32*m**2\/5 + 134*m\/5 - 136\/5.\nAnswer: -(m - 2)**2*(m + 68)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245 = 144*g - 227*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p. Let o(x) = -55206174*x. What is o(b(l))?\nAnswer: -607267914*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 9*x - 19*x + 7*x + (1 + 0 + 0)*(-x**2 + 0*x + 0*x).\nAnswer: x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - n - 12. Let b = n + 13. Suppose -3*x + 38 + b = 0. Calculate the remainder when 62 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 36397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41829437 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58419 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 3*v + 3*r, 14 = 4*v - r. Let j be v\/10*1*35. Suppose 9*w + j = 11*w. Solve -2*d + 15 = -w*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 11720*x**2 + 3870625*x + 3837968750 = 0. What is x?\nAnswer: -406, 1375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -213*g - 4. Let l be t(-1). Let b = l - 206. Solve -b*z + 2*v = -7, -4*z = -v + 3*v - 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let a(y) = 0*y + 2*y - 11*y. Determine a(o(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 392 + -234. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/7 + 54*o**3\/7 - 743*o**2\/7 - 19584*o\/7 - 2684 = 0. Calculate o.\nAnswer: -61, -14, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 409256 and 23.\nAnswer: 409279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or -224?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 12*h + 8. Let a be g(8). Let p = 18 + a. Let b = -6 - p. Solve b*q + q + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 26 = 4*o + 10, 4*o = f + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*m**3 + 1 - 31207*m + 30929*m - 3.\nAnswer: 3*m**3 - 278*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*d + 126. Let w = -17 + d. Let n(x) = -5 + w - 3*x + x**2 + 1 + 6*x. What is n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.6695765 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-877 + 500 + 376 - 11182*b + (0*b + 3*b - b)*(1 + 4 - 3) + 1 - b - 1 - 2 + 2*b + 2)*(-3 + 3 + 2*b).\nAnswer: -22354*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102753 is divided by 102446?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*y**3 - 41819 + 41819.\nAnswer: 163*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1658700 = -6*m + 44*m. What is m rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 + s + 10. Suppose -7*v = -4*v + b + 16, -b = -3*v - 26. Give z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -61. Let y(x) = -23*x**3 - 9*x**2 + 5*x. Let a(p) = 22*p**3 + 8*p**2 - 6*p. Let w(h) = i*y(h) + 5*a(h). What is the third derivative of w(g) wrt g?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2202*p = 2212*p - 270. Solve 42*j + p = 33*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/345 - 7*k**5\/230 - 17*k**4\/138 - 17*k**3\/69 - 6*k**2\/23 + 2*k - 25. Suppose t(c) = 0. Calculate c.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179863 smaller than 179864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 763 + -612. What is the remainder when m is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/189 - ((-52)\/6 + 24\/3)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 6*f + 1\/20*f**5 + 0 + 13\/12*f**4 + 2*f**3 - 3*f**2. Let v be b(-12). Let z(a) = -a**2 - 5*a - 3. Determine z(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751445017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4\/o**1)\/((o\/o**(1\/13))\/(o\/(o\/o**(-4)))))**(5\/6) assuming o is positive.\nAnswer: o**(-125\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 65. Suppose 0*o - 12 = -5*o + q, z*o + 4*q + 4 = 0. Let k(v) = 3*v + 7. Let h(y) = -y - 3. Let s(t) = -9*h(t) - 4*k(t). Determine s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985.893 decades in months?\nAnswer: 718307.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:46 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + 11000?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511, 678, 583, 94, -921?\nAnswer: -2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**11\/l))\/(l\/l**2)*(l\/l**(1\/6))\/(l\/(l**12*l*l*l)) assuming l is positive.\nAnswer: l**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 125*u**2 - 1760*u + 140 = 0.\nAnswer: 2\/25, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363624456 divided by -6.\nAnswer: 60604076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -330, -337, -344?\n\"Answer: -7*z - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 43872941 divided by -6\nAnswer: -43872941\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -23, -56, -111, -194, -311, -468, -671?\n\"Answer: -n**3 - 2*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:41 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*11482\nAnswer: 3444.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18160?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 2*d - 28 = -10*d + 10*s, 2*d - 28 = -5*s for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1\/(-3))*6. Does 3 divide 3 - s\/(2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*a - 45, a - 21 = -3*a + 5*f. Let q(v) = -8*v + 3. Let i be q(-4). Suppose a*j = 4*j + i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/154)\/(1069\/7483).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(567)\/(sqrt(18)\/sqrt(2)) + 2 + -3.\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(704) - (2 + sqrt(704))))**2 + 1.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.245466us?\nAnswer: 6245.466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*p = -168*p + 508*p - 150*p - 2520 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 9}. Give prob of picking 3 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 2 - 9*n**3 - 4. Let r(i) = -7*i**3 - 5. Let y be 2\/2 + (3 - -1). What is y*c(k) - 6*r(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 29. Suppose 3*x - 5 + m = 0. Which is the nearest to 1? (a) -0.02 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -476680 + -5?\nAnswer: -476685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2. Let n = 24 + -85. Let v = n + 65. Let i(f) = 8 + 7 + v*f - 15. Calculate i(z(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/15 + (668\/(-10))\/(-2). Let x = f + 112. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2*m + 176. What is g(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-4))\/(9 - -6 - 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ac1db3 (base 15) to base 4\nAnswer: 133103311212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23\/4 (b) 0.5 (c) -20923\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kja?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 61, 83, 83, 49?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**34\/(d*d*d**(-8\/3)*d)**(-35) assuming d is positive.\nAnswer: d**(953\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 30*a + 136. Calculate i(-29).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246 + 145152 + 184100 = 6042*f - 796*f for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -33 (c) -0.4 (d) -4 (e) 165\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:12 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 2*n - 1. Let s be h(-2). Let z(o) = s*o + 3 - 3. Let t(u) = u**2. Determine z(t(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1733\/4 + -433. Put o, 4, 11 in descending order.\nAnswer: 11, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2))\/t**(2\/19)*t**(3\/2)\/((t\/(t*t\/t**(2\/7)))\/t))**50 assuming t is positive.\nAnswer: t**(30650\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*o - 111*o + 6732. Calculate the greatest common factor of 891 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 731*z**2 - 1. Let v(l) = -732*l**2 + 1. Give -6*t(k) - 5*v(k).\nAnswer: -726*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, o: 9, n: 2}. Give prob of picking 1 o and 1 y.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 17. Let m(p) = 2*p**2 + 2*p - 18. Let c(w) = 2*m(w) - 3*q(w). What is the units digit of c(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-15.3987.\nAnswer: 569.7519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30473059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61272861449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2816) - sqrt(132)\/(-1*sqrt(3))) + -1*sqrt(6336) + 5 + 0)**2 + -2.\nAnswer: -380*sqrt(11) + 15907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 381598 or 49?\nAnswer: 381598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 51?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865 = -221*m + 903 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-649635)\/(-8070)*8\/46.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -24 (c) 0.1 (d) 3\/8 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)*(5\/2 + -3). Let b be (750\/9*m)\/((-16)\/24). Calculate the highest common factor of b and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by -93695\nAnswer: -142\/93695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(((k*k**(1\/11)*k*k*k)\/k)\/k)\/k))\/k)**(-10) assuming k is positive.\nAnswer: k**(230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4512 - -3040?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, e: 2, f: 11}. What is prob of picking 3 f?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8)**(-17)\/((a*(a\/(a\/(a*a*a**36)*a)*a)\/a)\/a**(9\/5)) assuming a is positive.\nAnswer: a**(-861\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:25 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101 less than 0.085440602035?\nAnswer: 2101.085440602035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79557 = 166*q - 169*q - 3*x, -3*x = -5*q + 132595. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001011011010100000 (base 2) to base 3.\nAnswer: -1002000022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:13 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/18 (b) -2337 (c) -110 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*u**2 - 380*u - 20 = 0.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 68 = -72. Let w(k) = 17 + 57*k**2 - 14*k - 121*k**2 + 63*k**z + 4*k. Determine w(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let q(u) = -u. Let r(v) = -6*v. Let h(g) = -10*q(g) + 2*r(g). What is a(h(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 2, h: 3, s: 3, e: 1, j: 3}. What is prob of picking 1 e and 2 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, -196915 in ascending order.\nAnswer: -196915, -5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22478 by -1.\nAnswer: -22478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3315 - -1.2315. Put -0.3, 1\/8, 3, -0.9, n in increasing order.\nAnswer: -0.9, -0.3, n, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 11) + -3 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 162 = -2*g, 2*d + 5*g - 84 = 3*g. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9969616 to two dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = 18*i - 86. Suppose 6*j + 5*z = j + 45, 0 = 2*j + 3*z - 23. Solve -2*h + 0*m + i = 2*m, j*h = -m + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 1 (c) 1\/9 (d) 1\/3 (e) -3\/68 (f) -5 (g) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1270 + -1086. Calculate the remainder when u is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -53, -2, 70, 0.01, 1 in increasing order.\nAnswer: -53, -2, 0.01, 1, 9, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1432152235 - -3?\nAnswer: -1432152232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4024*q**3 - 1172*q**2.\nAnswer: -24144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l + 3. Let x = 5 - -1. Let j be u(x). Let t be 956\/16 - 4\/(-16). What is the greatest common divisor of j and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30793 and 581.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s - 3. Let c be q(6). Suppose -5*f + 218 = -22. Suppose -c*h = 4*b - 136, f = 3*b - 5*h - 83. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 159.7. Sort d, -5, 1\/4.\nAnswer: -5, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -2069189\nAnswer: -31037835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(117)\/sqrt(3))\/(sqrt(12) + sqrt(12)*1).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1661371 millennia to decades.\nAnswer: 16.61371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18299319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726041?\nAnswer: 23, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 44 - 21 - 36)*(-2*b - 2*b + 2*b)*(14 + 8 - 28).\nAnswer: -1032*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5709126 months in centuries?\nAnswer: 0.0004757605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/27*(-6)\/(-2). Let q be k\/(-6) - 10\/(-42). Put 3, q, -2 in descending order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -274 - -283. Let v(k) = 2*k**2 - 4*k - 3*k**2 - 7 + 0*k**2 + t. Give v(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4067*b + 449825 - 449825 to v + d*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70645349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 54. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.80873 (b) -1\/1021 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2081\/119 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3840 by 80.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48067 and 2490325?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41640725*a**3 - 322747*a**2 + 42 wrt a.\nAnswer: -249844350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 29407 + 29420 = -5*s, 2*s + 2*s = d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -28052 - 5037. Does 11 divide (z\/58)\/(2\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 75*o - 42*o + 95*o + 6630 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrys. What is prob of picking 2 n and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/5 (b) 4 (c) 3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h - 4. Let p be 1\/h*8\/(-12). Let o = 1 + -1. What is the nearest to o in p, -0.3, -3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4763356 divided by -5?\nAnswer: 4763356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y**3 - 24*y**3 - 12*y**3 + (-3*y - y + 7*y)*(3*y**2 - 3*y**2 + 2*y**2).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:18 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-5))\/(6\/10). Let l = -0.27 + 0.37. Let q = -5.3 + 5.4. Which is the closest to q? (a) 4 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1846 + 1843)*((-2)\/6 - -1))\/((-1)\/33)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2996 and -0.3.\nAnswer: -898.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 1 + 0 + 0*p**2 + (178*p**2 + 4*p**2 - 3*p**2)*(10 + 0 + 0).\nAnswer: 1791*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -5*h**3\/3 - h - 83. Let b(w) = -2*w. What is b(l(k))?\nAnswer: 10*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/507 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -39\/14, -0.2 in increasing order.\nAnswer: -39\/14, -0.2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 103. Let c(a) = -3*a**2 - 3*a. Let m(g) = 1. Let r(p) = w*m(p) + c(p). Let r(h) = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 + -952. What is the common denominator of (-6)\/10 + (-9228)\/n and 4\/6 + 130\/24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 less than -0.27?\nAnswer: -698.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bopnjbo. Give prob of sequence nbn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 t when four letters picked without replacement from {t: 13, d: 3, z: 4}.\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27377 and 714.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, m: 11, n: 4, a: 1}. Give prob of sequence nnam.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -20. What is the greatest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/114 and (13\/20*2 + -1)*(-33725)\/15336.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32016510 rounded to the nearest 10000?\nAnswer: 32020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c + 79. Let x be q(10). Suppose d = 14 - x. Calculate the remainder when 23\/3 + (-2)\/3 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + 3*c**2 + 2*c + 4. Let g(u) = -6*u**3 + 4*u**2 + 2*u + 5. Let d = 30 + -26. Let q(s) = -s**2 + 13. Let v be q(d). Calculate v*g(b) + 4*x(b).\nAnswer: -2*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3712 and 8616.712?\nAnswer: 12328.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 61762.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, -13, -92, -193, -310, -437, -568, -697?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289892157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -349510 (base 11) in base 3?\nAnswer: -1001011101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m. Suppose -4*a = 2*y - 32, 4*y - 5*a + 14 = -0. Let g(q) be the third derivative of 0*q**y + 18*q**2 + 0 - 7\/60*q**5 + 0*q + 0*q**3. Give t(g(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 364*u - 1128 = 0. What is u?\nAnswer: -94, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 - m**2\/2 - 2*m + 3. Let i be r(4). Suppose -k - 2*k + i = 5*o, -2*o = -5*k - 4. Solve 4*l = 20 - k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19939867, -19939942, -19940019, -19940098, -19940179?\n\"Answer: -d**2 - 72*d - 19939794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4129.4899476 - 4233.48994. Let c = m - -104. Round c to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 15*r + 18. List the prime factors of z(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54600\/676)\/(-70)*13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 82.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1143 (base 5) to base 2\nAnswer: -10101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 66679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c - 40. Find the common denominator of 109\/10 and (-158)\/c + 2 + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 3*a + 113 = 0, -22*m = -19*m - 4*a - 1 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-18)\/(-5934) - 0 - 6\/(-1242)*9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194133879 is divided by 4021.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 3. Let h(x) = -1. Let r(f) = -3*h(f) - k(f). Suppose 11*p - 10 = 6*p. Let y(w) = 85*w**2 - 41*w**p - 45*w**2. What is y(r(m))?\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 4. Let s be p(-2). Suppose 5*x = 21 - s. Solve 9 = -3*m + 2*t, x*t - 5 = -m + t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96 - 601 + 607*s**4 - 47632*s**3 + 47632*s**3 wrt s.\nAnswer: 2428*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2646\/(-54))\/(-441)*5\/100*4*-1.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/18 (b) 4 (c) 0.4 (d) -14 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 0, 2\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1062 = 2*r - 2524, -3*r = g - 1799. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 5*p)*((10 + 4 + 0)*(-1 + 3 - 3) - 5 + 1 - 4).\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-3 - -19) - -2. Suppose -19 = -v - 4*j + 8*j, j = 4*v - y. Suppose o = v*o + i - 2, 0 = 4*o - 2*i - 12. Solve 0 = 5*n - o*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8*q = 3*q - 16, 0 = -5*j + 3*q + 4. Let v be 2 - (1 - (3 + j)). Suppose -2*c = v*x - 17, 8*x = -c + 4*x + 16. Solve -2*r - c = 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.7. Suppose -j + 7 - 3 = 0. What is the third biggest value in j, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.98 and 1854798169004?\nAnswer: 1854798168996.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1078733423 - 4749\nAnswer: -1078738172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - 592423\nAnswer: -592420.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1544 (base 11) to base 14\nAnswer: -a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 866*b**6*f + 4*b**4*f + 3*b**2*f - 102*b - 6*f - 1 wrt b.\nAnswer: 103920*b**3*f + 96*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1225, 9682, 32687, 77530, 151501?\n\"Answer: 1215*s**3 - 16*s**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((7 - -4 - 10 - 9) + 19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 + 20\/9. Let k = f - 5. What is the units digit of k + 45\/((-9)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine fifths of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -1\/3 (c) -3 (d) 3\/7 (e) 301800\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + (-8 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -941*p**3 + p**2 + 1236?\nAnswer: -2823*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(5\/3)\/b)*b**(3\/10)*b)**(14\/11) assuming b is positive.\nAnswer: b**(133\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53862433 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -69602630 to the nearest 10000.\nAnswer: -69600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. Let m = r + -1.18. Let v = 0.28 + m. Is v not equal to -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -21. Suppose s - g = -q, -4 = -2*s - q + 4. Suppose s = y - 9. Calculate the remainder when 41 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 = s - 5*d, -37*d = 3*s - 36*d - 1969. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54b0 (base 14) to base 5.\nAnswer: -432113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7075423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*(y**(3\/5)*y)\/y)\/(y**1)**(-5) assuming y is positive.\nAnswer: y**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*h - 177*h - 8. Let m(n) = -n**2 - 1 + 0*n**2 - n**2. Calculate m(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74911 times -3?\nAnswer: 2.24733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.4, 1\/2, 1\/5, -12\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13563 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119005.\nAnswer: 5, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/164 and ((-188643)\/910)\/(492\/(-26)) + -11.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -0.0324?\nAnswer: -51.9676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7613805 to the power of 1\/2, to the nearest integer?\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 2125*y + 268222. Give x(114).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -2\/3 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**22)**44)**6)**(6\/17) assuming a is positive.\nAnswer: a**(-33264\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4854075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*c + 2774846 - 214672 = 273*c. Is c a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*d = -17*d - 4048 - 2882 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c - 18. Let n be 4\/c*216\/2. Let w be n\/(-14) - 6\/21. Solve 0 = -0*g - 2*g + w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -736.809501 to 0 decimal places.\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4745518.\nAnswer: 2, 2372759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 n, and 1 j when four letters picked without replacement from pxjnz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3247?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 1 - 2)*(-45 + 22 - 29*a + 25).\nAnswer: 29*a**2 + 27*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/30)\/((-22)\/31218). Let l = -180 - n. Factor -13*c + 2\/5*c**3 + 7\/5*c**4 - l*c**2 - 5 - 1\/5*c**5.\nAnswer: -(c - 5)**2*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-63)\/695) - ((-24)\/(-126))\/(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -10*b + 1809. Suppose -3*p = -5*o + b, 3*p + 5*o + 106 = -65. Let x be p*(200\/(-4))\/5. Round x to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 39*b**2 + 566*b + 93. Is i(-55) 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 14 and 9770698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -24*o + 6. Let r(x) = 8*x - 2. Calculate 5*h(t) + 14*r(t).\nAnswer: -8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -25. Let c be (-7 + (15 - 13))*-1. Solve -3*b = -b - c*f + 16, d*f - 25 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84590 + 86395.48. Round b to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*(-4)\/(-2))\/(3\/(-6)). Let n be 26\/u + (-2)\/(-4). What are the prime factors of 48*1\/((-4)\/n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuquuuuuuuuq?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 6*v + 2. Let z be j(-5). Suppose 5*w = 4*s - 6 - 8, 6 = 4*s - w. Let o(g) = -6 + 2*g - s + 4. Determine o(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:41 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 1. Let r(o) = -5*o**2 - o + 13. Give 4*k(j) - r(j).\nAnswer: -3*j**2 + j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -194, -200, -224, -272, -350, -464?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 34*l + 163. What is v(38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190263921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6369 + -6366. Solve -4*d + 8*d - q*j = 17, 5*j - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-147)\/9*(-12)\/21 and ((-2)\/(-6))\/(4\/486).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553466346.\nAnswer: 2, 3, 92244391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 97 = -73 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 554. Let f(h) = 32*h. Give k(f(v)).\nAnswer: -3072*v**2 + 554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 33 = 3*p + k, -3*k + 9 = 0. What is the remainder when 9 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -20\/21*q**7 + 53\/12*q**4 + 0 + 0*q**6 - 1\/20*q**5 + 0*q**3 - 17*q + 0*q**2. What is the third derivative of m(k) wrt k?\nAnswer: -2400*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 1, 21, 69, 157, 297, 501, 781?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*t, -4*m + 15 = 5*t - m + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, 68, 788, 2194, 4514, 7976, 12808?\nAnswer: 19238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.7 - -28.7. Let x be 338\/91 + -2*2. Let r = 0.01 - 0.31. What is the third smallest value in -0.4, j, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 8*q + 2. Let z be c(8). Factor 2 + 0*r + 3*r - 2*r + 0*r**z - 3*r**2.\nAnswer: -(r - 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*k - 182. Let y = k + 501. Let w = y - -66. What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 270 = -q. Let x be (-249)\/(-12) + 1\/4. Let y = 40 - x. Calculate the remainder when q is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8936, -8939, -8952, -8981, -9032, -9111?\n\"Answer: -q**3 + q**2 + q - 8937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(252) - 1*sqrt(252)))**2 - (-2*sqrt(252)*-6 + sqrt(252)) - 4*((-2*sqrt(252)*6 - sqrt(252))**2 + sqrt(252))*5.\nAnswer: -851744 - 198*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, z: 1, y: 2, t: 3, j: 4}. What is prob of picking 1 e and 2 t?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*h**3 + 966*h**2 wrt h.\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8 - 5.800001619. What is g rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2875*x**5 + 860*x wrt x?\nAnswer: -57500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 95, 224, 463, 848?\n\"Answer: 6*z**3 + z**2 + 10*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9)\/(4\/(-2) + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/112)\/(47\/(-3) + 515943\/31428)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/6*(-22)\/((-1144)\/(-406653)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s - 4*f + 255 = 61*s, 2*s - 2*f - 156 = 0. Calculate the remainder when s is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*i - 51823546*g**2 + 1632*g*i + 384*g + 3*i wrt g?\nAnswer: -4*i - 103647092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**7\/2520 + 7*y**6\/720 + y**5\/12 + y**4\/8 + 3*y**2. Let q(s) be the second derivative of f(s). Let t be q(8). Sort t, 1, 0.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4701424*c*y - 15973714*y wrt c?\nAnswer: 4701424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 16. Let m(k) = -2 + 30*k + t*k + 1 - 10*k. Does 12 divide m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1805078230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 100*n - 1268. Calculate p(29).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -0.9. Let s be (-2)\/((-48)\/75) + 1. Let m = 91\/24 - s. What is the second biggest value in m, b, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**5 + 9*b**4 - 217250*b**3 + b**2 + 216106006*b.\nAnswer: -660*b**2 + 216*b - 1303500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -x, -x + 5 = -i + 14. Differentiate 2*m - 2465*m**3 - 141*m**i + 2465*m**3 + 3*m - 62 - 3*m with respect to m.\nAnswer: -564*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 55*i**3\/6 + 5*i**2\/2 - i. Suppose 0 = 203*z - 102 - 101. Does 10 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/15)\/(2\/(-10)). Let n be (2 - 36\/14) + (-117)\/(-21). Factor 3*v + 3*v**3 - 12*v**4 + 14*v**p + v**3 + 3*v**n - 12*v**2.\nAnswer: 3*v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*t + 199*s - 195*s, 0 = -7*t + 2*s + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*3\/2. Suppose -5*w = -17 + 2. Suppose h*l - 3*l = -w. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/8 and 65\/1355186.\nAnswer: 5420744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44046360 (base 8) to base 7.\nAnswer: 143245036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/(d\/(d\/(d**(-1)\/d))))\/d)\/d)**(1\/16)\/(d*d**1*d)**(2\/53) assuming d is positive.\nAnswer: d**(63\/848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -1 - (3 - 2). Suppose q = -q + o. Let n(t) = 36*t**3 - t**2 - t + 1. Is n(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/7)*p*p*p**(-9)*p*(p**(-2))**(-46))**31)**(-5) assuming p is positive.\nAnswer: p**(-94240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/1)\/4)\/((-11)\/(-44))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99812.\nAnswer: 2, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -84345 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -32 - (-1 - -5) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3) - (-6)\/5. Put -4\/5, q, 0 in descending order.\nAnswer: q, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**4\/24 + 6*m**2. Let h(b) = 6*b. Give l(h(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 1. Let o = -0.46 - -0.327. Let t = o - -1.133. Which is the nearest to t? (a) 4 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 8*l - 7*l + 13*l + l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 + 9?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:52 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15 - (2 + (-2 - -3)). Let u be (-86)\/z + 12\/54. Suppose u*g - 48 = 222. What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by 157.\nAnswer: 185\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwiidibbccwbiicii. Give prob of sequence diw.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023534 to the power of 1\/2, to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, t: 7}. What is prob of sequence te?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642894 is divided by 2656.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4970460 divided by -66?\nAnswer: 75310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 3*d - 3*d + 1134170. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1196 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 991 + -441. What is the greatest common factor of l and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 5*x. Let s be h(-5). Suppose u + 3*b - 705 = s, -2*u - 2*b + b + 1435 = 0. Let y = u - 421. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2573\/12 - 215. Let r = -31\/224 - 3865\/2016. Find the common denominator of r and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66207*d*j**2 - 141*j**2 + 92*j + 2 wrt d.\nAnswer: -66207*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 9:57 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -22*(-3)\/12 + (-99)\/66. Let c(l) be the third derivative of 5\/3*l**3 + 0*l + 1\/4*l**f + 7*l**2 + 0. What is the derivative of c(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5600 and 8\/(-28) + (-739140)\/(-231) - 1434\/(-2629)?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45371129729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81140 (base 9) in base 14?\nAnswer: 15618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*i**2 - 4094*d*i + 2*d + 5*i**2 + 4*i - 577155 wrt i?\nAnswer: 2*d*i - 4094*d + 10*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 440*h**2 + 2307*h + 502. Determine r(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 11249*c + 7 = -11248*c, -3*c - 69 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -3*sqrt(245)*-4)*-3 + -1)**2.\nAnswer: 546*sqrt(5) + 372646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 2. Let q = 28 + -10. What is the lowest common multiple of i(0) and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-4)\/2 - (-1 - -1). Suppose 2*c + 7 = -5*b, 0*c - 3*c + 3 = 3*b. Let x be c\/10 + 13\/k. Solve -x*v = v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4765524079.\nAnswer: 4765524079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101138 is divided by 389?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 3*o**3 + 1 + 0*o - 1\/60*o**5 + 0*o**2 + 0*o**4. Let f(u) be the third derivative of n(u). Let y(d) = -3*d. What is y(f(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let n(g) = -g**2 + 10*g. Let z be n(11). Let m = z + 25. Let k(f) = -m*f**2 + 7*f**2 + 6*f**2. Give k(j(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/105)\/2)\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-2)*-1*-10. Suppose 2*h - 25 = -m, 0*m + m - x = -3*h. Solve 0 = -4*v + 5 - m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) -49 (d) 2 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 7 + 3)*(-3*d**2 + 3 - 3) + 0*d**2 - 2*d**2 + 0*d**2)*(2 + 2 - 3) as b*d**2 + g + n*d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/21*(-3)\/(3960\/84). Put 1\/3, g, -1, 2\/3, 0 in descending order.\nAnswer: 2\/3, 1\/3, g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 8. Let o be y(-6). Let x(m) = -10*m - 9. Let s be x(o). Let v = 292 - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*5\/(-1 + -4). Let s be 25 + -23 - p*(-272 - 2). Calculate the highest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 52362*p**2 + 104749*p**2 - 52354*p**2 + p.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 - (0 + -3))*3. Let j(x) = -x**2 - 2*x + 13. Let q be j(8). Let r = q + f. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 35 + 82 + s)*(-3*s**3 + 3*s**2 - 3*s**2).\nAnswer: -3*s**4 - 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1004, 2012, 3020?\nAnswer: 4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13799 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 = 93*c + 301 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199676021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3851a08 (base 12) to base 15\nAnswer: e85a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -344 + 5246\/15. What is the common denominator of g and 73\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoosfofoifffofoooov. Give prob of picking 1 v, 1 i, and 2 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1573) - 5*-1*sqrt(1573)) + 4*sqrt(1573)*-2) - (2*(sqrt(1573) + 0) - (-2*(-1 + sqrt(1573)))**2).\nAnswer: -220*sqrt(13) + 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 8*t**2 + 14*t + 69. What is y(-4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61 + -64 - (-25 - 1). Let c(z) = -z**3 + 24*z**2 - 25*z + 47. Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2466591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25b - 4d8?\nAnswer: -27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265 - -260.36. Let u = q - -4.6. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3569.24l?\nAnswer: 3569240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76414314.\nAnswer: 2, 3, 19, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(-1 + sqrt(208)*-1)**2.\nAnswer: 32*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 6*b + 47*b + 2*b to l + y*b and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -207, 1, 0.08?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 38, 89, 156, 239?\n\"Answer: 8*f**2 + 11*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from ssesee?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -25*h - 15. Let s = -23 - -19. Sort 6, -3, h, s in ascending order.\nAnswer: s, -3, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - a)*(-5*a - 3*a - 3*a)*(5 + 1 - 5) as l*a**2 + t*a + h and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7, 5 in decreasing order.\nAnswer: 7, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 1, z: 13, c: 1, k: 3}. What is prob of sequence cz?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*b = -53*b - 122083. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z - 19. Suppose -100 = 4*r - 0*r. What is the tens digit of y(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500102.\nAnswer: 2, 3, 83339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*s - 5517368 = 285057. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192765 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 528\/(-2) + -49 + 44. Let t = 267 + d. What is the nearest to 19\/6 in 2, 2\/3, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -265, -281, -309, -349?\n\"Answer: -6*m**2 + 2*m - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*f + 11*f + 99. Calculate the highest common divisor of f and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 995 - -92. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/3 - 1823*w\/3 + 182780 = 0.\nAnswer: 380, 1443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 720 + 245. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 178 + j**2 - 83 + 79*j - 752 + 31*j wrt j?\nAnswer: 2*j + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1\/10, -0.12, -6.\nAnswer: -6, -0.12, 1\/10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-11 - -19)) + (-22 - -3 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 6 - -3) - (-2 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 1:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*(-8)\/30\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4773*r + 10177 - 10177.\nAnswer: -4773*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose 4*s - 1 = -t*m - 8, m = -5*s + 5. Suppose -g = -2*b - 24, -6*b + b = s*g - 21. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:33 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 12, 9*l = -17345*v + 17340*v - 34 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25\/31 - -3031\/3720. Let y(g) be the third derivative of 0*g + 1\/24*g**3 - z*g**5 + 0*g**4 + 9*g**2 + 1\/840*g**7 + 0*g**6 + 0. Factor y(f).\nAnswer: (f - 1)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 132, 230, 356, 516, 716?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.863, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*r**2 + 187*r**2 + 182*r**2 + 187*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1965 - 0.1965. What is the nearest to -1 in b, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-231)\/(-385))\/((-55)\/(-6) - (-3)\/9).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 < 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*a**2*v**2 - 2*a**2*v + 283*a**2 - 44*a*v + 3*a + 3061*v**2 - 2 wrt v.\nAnswer: -24*a**2 + 6122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958*c + 224*c - 7826 = 7540 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1811.\nAnswer: 4\/1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-123 - (19 - 50) - -9).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13199772 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60983120*r - 2*r**2 + 60983120*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (34\/66*-3)\/((-920)\/(-1012))\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:53 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1520\/12)\/((-2)\/(-9)). Suppose 9*n = 14*n - o. Suppose -n = -4*b + 322. What is b rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, k: 4, h: 2}. What is prob of picking 2 p and 2 h?\nAnswer: 11\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 644 - 265 - 379 + 7779*n to the form s + u*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3179*u + 3179*u + 14*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -52 - 7 - (1 + 2 + 21)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013 (base 7) in base 4?\nAnswer: 100033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -19*u + 2438 + 1351. Calculate the remainder when u is divided by 131.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 5*p, 3*p = -d + 2*d + 6. Which is the second biggest value? (a) -4 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2*n - 2*n)*(10 - 10 - 13162*n + 10803*n - 55063*n) as u*n**2 + q + c*n and give u.\nAnswer: 57422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 2 - 3)*(0 + 0 + 6)*(0*c**3 - c**3 - c**3) to i*c**3 + u*c**2 + z*c + j and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 3, i: 5, h: 1, a: 5}. Give prob of picking 1 a and 1 x.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-135)\/(-25) - 3\/(-5). Suppose d - 903 = -898. Solve -3*o = -3*y - 15, -c*y = 3*o - d*y - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/7 + 3678*j\/7 - 1511560\/7 = 0. What is j?\nAnswer: 620, 1219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157230 is divided by 364.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5416607577 to the power of 1\/3, to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:02 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 6*i**2 + 21*i - 96. Let h be c(7). Does 42 divide ((-1448480)\/209)\/(-5) + h\/(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36665 (base 15) to base 3\nAnswer: -22211002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 16 = 2*k, 5*k + 3*u + 0 + 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 10*t - 4. Let s(p) = -p**2 + 3*p + 1. Let m(q) = 6*h(q) + 20*s(q). Solve m(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 161625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f**2 - 21*f + 193. What are the prime factors of v(7)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 12*s**2 + 6*s**2 - 4 to the form d*s + a*s**2 + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n + 721. Calculate g(-47).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - n = 9, n = -n + 6. Suppose 0 = 2*s + g - 7, -l*g + g - 3 = -2*s. Solve -u - 3*h - 7 = -2*u, 2*h - 10 = -s*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 35*s**2 - 21*s + 733. Let h be i(35). Sort -3, h, -4, 1, -17 in descending order.\nAnswer: 1, h, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 10*w + 11. Let g be m(-7). Let q = g - -22. Solve 0*j - 10 = -q*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -166 (c) 2\/5 (d) -0.001 (e) 3 (f) -0.02 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 11 - 21 = 0. Factor 0 - s - g - 2*s**3 - 5*s - 6*s**2.\nAnswer: -2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/7 + 2*l**3 + 44*l**2\/7 + 40*l\/7.\nAnswer: l*(l + 2)**2*(l + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23590 is divided by 2946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(325) + -2 + -2 - (sqrt(325)*-2*5 + -3*(sqrt(325)*-1 - sqrt(325))**2).\nAnswer: 55*sqrt(13) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217787180 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 116*x - 492 = 64*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 51*r. Calculate the remainder when x(1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2403, 4777, 7101, 9345, 11479, 13473?\nAnswer: 15297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 7*x + 2. Let z be k(8). Let w = 106 + z. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/5 - 7336*d**3\/5 - 13468888*d**2\/5 - 53787552*d\/5 - 53758224\/5.\nAnswer: -(d + 2)**2*(d + 3666)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:17 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = h - 10, -4*h - r + 6*r - 15 = 0. Is 29 a factor of -29*1*2*5\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 743588990 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1161 - 2644 - 4124 - 152 + 6 - 3 - 2 + (-1 + 2 + 0)*(-3 - 1 + 5) - 2 + 1 + 2)*(-3*r - 3*r + 7*r).\nAnswer: -8078*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from ssssssstttt.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 185 = -p, 0 = 2*r - 14*p - 15 - 55. Calculate the highest common factor of 294 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14316, 5, 1, 332 in decreasing order.\nAnswer: 332, 5, 1, -14316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 965*j**2 + 2*j + 8. Let v(z) = -12537*z**2 - 27*z - 108. Let b(n) = 27*i(n) + 2*v(n). Let r(g) = g. What is r(b(x))?\nAnswer: 981*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3 - 3. Solve s = -b + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23)\/(g\/g**(-3\/28))*(g**(1\/16))**39)**31 assuming g is positive.\nAnswer: g**(-75237\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 735, 2726, 5947, 10362, 15935, 22630?\n\"Answer: -6*f**3 + 651*f**2 + 80*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076782 (base 9) in base 6?\nAnswer: 20252115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85458591 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 1334*f**2 + 27203*f - 2460. Give g(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -131. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 + 9*t - 9. Let g be u(8). Let m(r) = -r + 1. Let q(i) = -3*i**2 - 3*i**2 + 4 + 5*i**2 + 3*i**2 - 3*i. Determine g*q(x) + 4*m(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 119*q + 928.\nAnswer: (q - 29)*(3*q - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9\/90)\/((-5)\/(-5))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*d + 1602 = 2*t, -4*t = d - 3189. Let j = t - 345. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let i(n) = -608*n. What is i(z(f))?\nAnswer: 608*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60.39 + 60. Let y = x + 0.09. Let w = -4.86 + -0.14. Put 0, y, w in decreasing order.\nAnswer: 0, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1524.89 - 694963.9\nAnswer: -696488.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 2}. Give prob of picking 1 n and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 614.2567 decades?\nAnswer: 6.142567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104 + w**2 - 139*w + 15 + 2 + 17.\nAnswer: (w - 138)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r. Let p(g) = -3*g + 156 + 5*g - 79 - 77. What is p(d(w))?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60243, 121317, 182391, 243465?\nAnswer: 304539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101999 = -102*d + 136783. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 399\/(-45) + 8\/20. Let l = -54\/5 - p. Let u be (2\/(-10) - 0) + (-6)\/(-10). Sort -3, l, u in decreasing order.\nAnswer: u, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41203 = 2*x + 3*i + 8765, 2*i = -3*x + 48672. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Let t = 722 + -1062. Let f = t - -344. What is the biggest value in 3\/4, -0.5, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 26*b + 7. Let a(w) = w**2 - 25*w - 5. Determine 4*a(t) + 3*g(t).\nAnswer: t**2 - 22*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 2*l**2 - 5*l**2 + (3*l**2 - 7*l**2 + 3*l**2)*(-7 + 20 - 6) + (-3 + 3 + 2*l)*(2*l - 4*l - l) in the form m + z*l + w*l**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 175 = -5*l + 130, 0 = 2*k - 4*l + 6. Let p = 15 - 4. Which is the third smallest value? (a) k (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49738.85 kilograms in grams?\nAnswer: 49738850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 1 (c) 19 (d) -30389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -5 - (-23 + 1 + (1 - -3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836 - 836 - 8064*h + 1672.\nAnswer: -8064*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 5, r: 3, e: 6}. Give prob of sequence lwl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 3*z - 2. Let u(w) = w**3 + 9*w**2 + 7*w - 5. Let s be u(-8). Give c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6365 and 470541.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.266 from -20.\nAnswer: -20.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 3700503338.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 2*b**3 + b**3 - 3 + 4 + 0 + 4 as g*b**2 + n*b**3 + u*b + z and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -165066688 at most -990400135\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f**3 + 0*f - 1\/210*f**7 + 0 + 1\/40*f**6 + 36*f**2 + 1\/24*f**4 - 1\/20*f**5. Factor r(d).\nAnswer: -d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-112))\/(63\/120)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - (-98)\/(-35)) + 547\/(-60) and ((-3)\/2)\/(6\/(-79)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + 4*(-1*sqrt(187) - sqrt(187)) + sqrt(187)*1*-3)*3)\/((sqrt(22) + sqrt(22) + sqrt(66)\/sqrt(3))\/sqrt(2) + 4*sqrt(1100)).\nAnswer: -30*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7136 (b) 0.2 (c) -0.3 (d) -0.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 154998 + ((-4)\/5)\/((-6)\/15). What is k rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4646 - 522 - 641)*(c - 2*c - c)*(2 - 1 - 2) in the form k + f*c and give f.\nAnswer: -11618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from xpbyiik?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffx when three letters picked without replacement from {e: 3, f: 7, x: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(2\/(3\/(-3))). Let v(k) = -2*k + 2*k - k. Let a(d) = -d**4 + 2*d**2 - 4*d - 1. Let y(h) = i*a(h) - 4*v(h). Factor y(n).\nAnswer: -(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - m + m - 7*m + 2*m + 4*m + (0 + 0 + 3)*(0*m + 2*m - 4*m) + 0*m + 3*m - m + 6*m + 0*m - 3*m as n + j*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:41 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2 - 10 + 10. Let j(v) be the first derivative of 1\/3*v**3 + 0*v + 0*v**2 + 11. What is j(u(o))?\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:28 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14405 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 573 + -559. Which is the third smallest value? (a) -3 (b) -4 (c) 0.5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1) + -3 + 3. Solve 0*h - 5*a + 17 = -2*h, 4*a = y*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 8989 - 1703. Let p = -285 + d. Is p < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 e, and 1 l when four letters picked without replacement from llleelylylyle.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 17*d - 9. What is x(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - b1435c?\nAnswer: -b14333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k. Suppose -10*u + 9*u + 2 = k. List the prime factors of (u - 1 - 1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 22*c**2 + 23*c - 77. Does 56 divide a(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 18. Suppose -3*j + 1 = 28. Let l be t(j). Suppose -5*r + 20 = -0*r, l = 4*d + 2*r + 4. Let b(x) = -x**3 - x**2 - x - 4. What is b(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 - (6 + -12). Suppose -4 = -o*u + 20. Suppose c - u*c + 1015 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -5)\/2 - 2. Let h be 9\/(-3)*(r - 0). What is the second derivative of 4*q**3 - 3*q**3 - 2*q + h*q**3 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from ffrkkfbqrfkrkfbfrfff.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - w**2 + 3*w - 2. Suppose -2*j = 2*p - 3*j, -18 = p - 5*j. Does 16 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -607, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + k**2)*(-3509 - 410 - 3209 + 789 + 921) to s*k + j*k**2 + i and give j.\nAnswer: -5418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 35*p + 151. Let n be r(-5). Suppose -135 = -n*w + 239611. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 1, -8, 456, 1\/5, 3 in increasing order.\nAnswer: -8, -3, 1\/5, 1, 3, 10, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-27) - (-2)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -19*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (10\/2 - 2). Let z = 115 + -111. Sort 2, z, t in ascending order.\nAnswer: t, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 8:23 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 4. Suppose 0 = -2*b - c, 54 = 3*j - 4*b + 164. Let t = 65 + j. What is the remainder when t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5\/3 + 102812*h**4\/3 - 1027780*h**3\/3 + 3288574*h**2\/3 - 1301677*h + 513810 = 0. Calculate h.\nAnswer: 1, 3, 5, 102762\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 + 20*s**3 - 245*s.\nAnswer: -36*s**2 + 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -724\/7 (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 3. Let n be a(-4). Let v(p) = -p**3 - 7*p**2 + 8*p - 11. Let f be v(-8). Let s = f + n. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b)**(3\/7))**9 assuming b is positive.\nAnswer: b**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 + 2 + 4*f**2 + 2*f - f**2 in the form v + o*f**2 + w*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30413311 (base 5) in base 3?\nAnswer: -110121010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.668 and 13?\nAnswer: 21.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19718.3 nanograms in tonnes?\nAnswer: 0.0000000000197183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmi when four letters picked without replacement from {b: 1, m: 5, i: 5, k: 1}?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26846397.\nAnswer: 3, 110479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5833\/15 + 389. What is the nearest to 1 in l, 2\/3, -5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 + 3 = -2*f, -4*p + 4*f + 20 = 0. Suppose 0 = -p*x + 8*t - 7*t + 48, 32 = 2*x - 5*t. What is the remainder when 143 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(2\/47))**(-28) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4617481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*g - 5271 = 1491 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54243 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73378 and 9994.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 7. Let r be g(3). Let f = -0.058 + 0.358. Which is the third biggest value? (a) -0.5 (b) r (c) f (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710094719854 + 11?\nAnswer: 710094719865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmzb when four letters picked without replacement from lzlmblmkzl?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*n + 45 - 6, -z = 3*n - 6. Suppose 3*x = -6, -19*v + z*v = 4*x - 880. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 22*q - 9244 = 0. Suppose -w - q = -5*m + 6140, 0 = 5*m - 2*w - 10759. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29654 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000173249 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 367.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 37755*m**2. Let o(a) = a. What is k(o(b))?\nAnswer: 37755*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 495. Let j be (3 - (-1 + 4))\/(-5 + 3). Is 25 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*i = -23, l - 4*l - 2*i = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0)**(-2\/71)\/((q**(-1\/5)\/q)\/q**(-6)) assuming q is positive.\nAnswer: q**(-1714\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363522 is divided by 139.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7ac5 (base 13) to base 5\nAnswer: 1022410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -806, -1606, -2396, -3170, -3922, -4646, -5336?\n\"Answer: n**3 - n**2 - 804*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q + 4. Let p(c) = -289*c**2 - 3*c + 119. Let r(o) = p(o) - 3*x(o). Differentiate r(d) with respect to d.\nAnswer: -572*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-32)*(-7 - 1). Let p be (-18)\/(-126) - (-7128)\/b. Let y = p + 772. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 31*j**2 - 752*j - 53. Calculate h(47).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.594 + -1.294. What is the fourth smallest value in -5, -0.263, 5, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12072 and 6286494?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 0.4, 3, -4, 23615, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -s. Suppose 2*z - 84 - s = 0. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1535494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-28) + (-33)\/2. Calculate the lowest common multiple of 4 and (-1 - (-2)\/4)\/(1\/i).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (70\/(-33))\/((-29)\/(-3) + -7). Let p = r + 6\/11. Which is the biggest value? (a) 4\/5 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1269, -1266, -1263?\n\"Answer: 3*i - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 89102?\nAnswer: 891020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m + 653. Let q(z) = -z - 697. Determine q(w(r)).\nAnswer: -7*r - 1350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j - 20 = 0. Suppose j*f = -2*t + t + 17, 5*f = 15. Factor 4*x**5 - 2*x**4 - 5*x**t + 2*x**5 - 2*x**2 + 4*x**4 - x.\nAnswer: x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 27. Let f be q(7). Calculate the remainder when 77 is divided by f + (-2 - -3) + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 22 = o + 2*i, 2 = -3*o - 5*i. Let k = -17 - -21. Suppose -m - 8 = 2*g, -4*m + 2*g = 3*g - 3. Solve 0 = -k*z + z - 3*t - 3, m*z - o = -4*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.4489 hours to milliseconds.\nAnswer: 2838416040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1551 by 4.\nAnswer: 1551\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12448 + -12448.00003907. Round b to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(6\/(-4)))\/(-22). Sort o, -0.5, 0.4 in increasing order.\nAnswer: -0.5, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0183773079 to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 9*c - 4. Give q(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023021223 (base 5) to base 6.\nAnswer: -224035313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 24 = 13. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 77*o + 316 + 259 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*d + 17. Let u(g) be the first derivative of -1\/12*g**4 + 0*g - 1\/9*g**3 + 0*g**d - 2 + 1\/15*g**5 + 1\/18*g**6. Let u(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 10\/7 in increasing order.\nAnswer: -4, 0.1, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764655 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m - 223. Let x be q(12). Let s be 34\/(1 - 0 - -1). Suppose -w + 2*a = -3*a - s, -3*w + 91 = 5*a. Solve -3*k = 2*n + 9, 3*k - 9*n = -x*n - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1534*q - 5196. What are the prime factors of w(-33)?\nAnswer: 2, 3, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.17 - -593.43. Let l = b - 595. What is the closest to 0 in l, 5\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 + 241. Put 1, 34, 2, n in descending order.\nAnswer: 34, n, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10667 + 5813. What are the prime factors of j?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048133 rounded to seven dps?\nAnswer: 0.0000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 6 - 5)\/(6\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/540 and 133\/18 + -3 - (-3)\/6.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**5 - 8*k**4 + 1133*k**3 - k**2 + 264*k + 587.\nAnswer: -240*k**2 - 192*k + 6798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -3704\/17 (c) 3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-200)\/(-210) + 26\/(-39). Put -25, j, -0.5 in descending order.\nAnswer: j, -0.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -64. Let l be (-20)\/45*-3*s\/(-8). Suppose 0*j - 5*j = -25. Let w(b) = -4*b**2 - 15*b - 5. Let m(i) = -2*i**2 - 8*i - 3. What is j*m(q) + l*w(q)?\nAnswer: 2*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3399 divided by 215.\nAnswer: -3399\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1305\/220 - 6) + 2\/(-11)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 792 divide 15306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 2 = 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 5. Let t(b) = b + 2. Let j(h) = -2*h. Let r(d) = 4*j(d) + 2*t(d). Let k(g) = -55*g + 656. Let f be k(12). Give f*w(m) + 5*r(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 70 = -5*l. Let s = -911 + 593. Let o be 4\/48*3 + s\/l. Solve -q + 5*n - o = 3*q, 0 = -n + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2\/3 - 125*o + 370\/3 = 0. Calculate o.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 441812007, 441812004, 441812001, 441811998, 441811995?\n\"Answer: -3*b + 441812010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249103968 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 652319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 4*x. Let q(g) be the second derivative of 0*g**5 - 1\/30*g**6 + 4*g + x*g**4 + 0 + 5\/6*g**3 + 0*g**2. Find the second derivative of q(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/32 + (-1665)\/(-40). Let g be (6\/v + (-264)\/(-63))*6. Calculate the highest common factor of g and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(3\/(-2) - -2). Let h = o - -1. Solve h*l + 0 + 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 7 - 1 = 48 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 11:41 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2898 = -3*a + 4*p, -11*a + 8*a - 2*p = -2880. List the prime factors of a.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 5. Let m be j(8). Let d be (-2)\/1 + (-12)\/(-5). What is the second smallest value in 3\/8, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-80))\/(36\/16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + t**2 - 3*t**2 + (-1 + 5 - 2)*(-2*t + 1 - 1)*(-2*t + 0*t + 3*t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {p: 3, w: 5, g: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -18*i**3 - 2*i**2 - 6*i - 5. Let t be g(-1). Suppose 0*j - 6 = -j. Suppose -j*z = -1 - t. Calculate the least common multiple of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -9, 76 in ascending order.\nAnswer: -9, -5, -2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5464 is divided by 407?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1280.67 - -1282.91204. Round l to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Suppose -30*p = -25*p - 5. What is the closest to p in r, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 33140 + 27446 = 430236. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**5 - 471*s**4 + 4035*s**3 - 5745*s**2 - 4038*s + 6216 = 0?\nAnswer: -1, 1, 2, 7, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6729120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497671958?\nAnswer: 2, 7, 29, 859, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -68*b**2 + 7066*b + 625. What is u(104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 47, 17 in ascending order.\nAnswer: 5, 17, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (4 + -2 + 1). Let p(i) = 11*i. Let x be p(u). What is the greatest common divisor of 121 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -16*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/12*m**4 + 0 - 29*m + 0*m**3 + 0*m**2. Let v(g) be the first derivative of -3*g**2\/2 + 3*g + 69. What is h(v(r))?\nAnswer: -9*r**2 + 18*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-61 - -6)\/(-5) + -4 - 4. Put g, 0.1, -2\/7 in descending order.\nAnswer: g, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 162.\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319145689?\nAnswer: 9859, 32371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.1667 (b) -1\/6 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -360 - -356. Suppose -5*x + 209 = 4*v, 2*v - 104 - 17 = 3*x. Let z be ((-3)\/(-6))\/(b\/v). Sort z, 0.5, -5.\nAnswer: z, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 6. Find the common denominator of (-1)\/r*(-456)\/(-18) and ((-201)\/30 - -2) + -1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 1. Let k = -2 + -1. Let g be a(k). Solve -c = -g*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 11*n**3 + 9*n - 5*n**3 - 4*n**3 - n**2 to the form o*n + t*n**2 + l + x*n**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 4. Suppose a*n - 346 - 89 = 0. Suppose 5*c + 25 + 53 = 4*d, 5*c - 10 = 0. What is the remainder when n is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22021 (base 3) in base 13?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/6 - 51*t. Let r(f) = -12*f. Give x(r(a)).\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12925, 25853, 38779, 51703, 64625?\n\"Answer: -z**2 + 12931*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, -0.5, 5, -5750 in descending order.\nAnswer: 5, 5\/8, -0.5, -5750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10238183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10208680 rounded to the nearest 10000?\nAnswer: -10210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r - 4*r)*(-3*r + 3*r + 2*r)*(3*r**2 - 9*r**2 - 2*r**2 + (-r + 3*r - r)*(2*r - 4*r + 3*r)).\nAnswer: 84*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4434, 17613, 39562, 70281, 109770, 158029, 215058?\n\"Answer: 4385*t**2 + 24*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555*l + 2*l**2 + 343*l - 68*l**3 + 214*l to q*l + w*l**3 + i*l**2 + v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1271)\/62 + 1\/(-2). Let v be (1\/1)\/(d\/(-42)). Let h = 49\/2 - 25. Sort 2\/17, h, v in ascending order.\nAnswer: h, 2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-9*i - 13*i - 3*i) + 2 - 2 + 7*i + 1.\nAnswer: 32*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142719677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/6 (b) -1\/10 (c) 2\/1461 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20\/3 - 62\/9. Let t = 0.08 - -0.12. Let q = -1.2 + t. Which is the nearest to 1? (a) y (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, -4, 0 in increasing order.\nAnswer: -56, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 644 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3962821 (base 10) to base 6.\nAnswer: -220534221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/(-85) + (210180\/51)\/10 is divided by 107.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 6 - 66. Let w be 69\/m + 4\/10. Suppose 0 = 5*r + 15, 2*p - 5*r - 2 = 17. Sort w, 3, p in ascending order.\nAnswer: p, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4030 - 4032. Which is the nearest to -2? (a) 0.04 (b) 94 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1571.\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.2 + -22.2. Which is the biggest value? (a) -2\/11 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 62 = 7*x - 22 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 30*s**2 + 101*s - 147. Calculate b(33).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/600)\/((-7)\/105)*2\/6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69377 is divided by 34375.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6.8268 times 365\nAnswer: 2491.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2. Let o be c(0). Let m(d) be the first derivative of -d**3 - 3*d**2\/2 + 6. Determine m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (4 - (-80 - -48)) + -37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 + (3\/12)\/((-8)\/160) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 23661838. Let t be z(0). Let h = t - 36961838. Round h to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 + 68*z. What is the tens digit of b(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/7)\/((-4)\/(-2)). What is the smallest common multiple of 4 and (-38)\/19*(s - 12)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 + 32.94138933042?\nAnswer: 32.89538933042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*g + 21, 2*g = -7*i + 10*i + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92546250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*m = -272*m + 332 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466211 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275741867?\nAnswer: 3, 425247289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 4. Let x be t(7). Let q = -9 - 0. Let f(u) = -u**2 - 3*u + 1. Let p(o) = 5*o**2 + 11*o - 3. Let w(h) = q*f(h) - 2*p(h). Give w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-4)\/(-2) + 2. What is the third derivative of 2*s**k - 19*s**5 - 10*s**2 + 10*s**5 + 23*s**2 wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108369?\nAnswer: 3, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + (-7 + 12 - -7) - -14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203, 402, 603, 806, 1011, 1218, 1427?\n\"Answer: h**2 + 196*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/7 + 44*h\/7.\nAnswer: 4*h*(h + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(300) - sqrt(300)))\/(-5*1*sqrt(5)))\/((sqrt(2940)*-2)\/(sqrt(35)\/(sqrt(21)\/sqrt(3)))).\nAnswer: -3*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 47*n**2 + 13. Let d(c) = -23*c**2 - 6. Suppose -3*h + 8 = 5*g + 72, -4*h + 4*g = 32. Let p(l) = h*d(l) - 6*y(l). Let o(x) = 2*x. What is o(p(q))?\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2098*j**2 + 4*j - 24. Let t(c) = 2098*c**2 - 3*c + 18. What is 8*t(o) + 6*w(o)?\nAnswer: 4196*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20148.100004 - -20136.1. Let b = -27 + 15. Let m = g - b. What is m rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h - 22. Suppose 0 = 10*l - 14*l + 24. Let t be x(l). Which is the second biggest value? (a) 0 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Suppose 0*g - g + 42 = k, 5*k = -2*g + 198. Let j = -35 + k. Solve a*o - 10 = j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5.98. Let v = m - -0.07. Let i = -0.72 + v. Round i to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290*f**3*k - 12*f**2*k - 2*f*k wrt f.\nAnswer: 1740*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -62\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 1 d when three letters picked without replacement from {j: 1, y: 1, d: 2, t: 1, u: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557558.\nAnswer: 2, 3, 86531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 821*f**3 + f**4 - 22*f - 818*f**3 + 0*f**4 to t*f**2 + v*f + z + n*f**4 + k*f**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 430 and 473?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 185.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l. Let g be f(4). Suppose 3*x = -2*m + 24 + g, 3*m = -15. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10676 and 65722.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3650402\/3*t**2 + 2\/3 - 5404\/3*t.\nAnswer: 2*(1351*t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356219*n**3 - 255571 wrt n?\nAnswer: 1068657*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 times -1342?\nAnswer: 530090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47886, 47925, 47964, 48003, 48042, 48081?\nAnswer: 48120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2, 0, -0.3, 0.8 in increasing order.\nAnswer: -2, -0.3, 0, 0.02, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 942314 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-12))\/(1\/9). Let a be ((-18)\/10)\/(z\/15). Solve -2*k + a - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 125. Let q be y(-14). Do q and -111 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.011 + 0.289. What is the closest to 0 in r, 3, 1.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*y + 4 = -1, 5*a + 5*y = 0. Let z = 10741.1 + -10740.9. Sort z, a, -0.4 in increasing order.\nAnswer: -0.4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6325.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**2 + 4*r**2 + r**2 - 106276 - 1338*r + 34*r.\nAnswer: -4*(r + 163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 2. Let h be d(6). Let t = 13 - h. Solve -t*f = 15 + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-136)\/1)\/(38\/(-1672)) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000927 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1522 - -6?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 71, 197, 373?\n\"Answer: 25*v**2 + v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -32*l - 10. Suppose 0 = 15*i + i + 32. Calculate the least common multiple of 33 and v(i).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfrtc. Give prob of picking 1 r, 2 f, and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66379174*s**2 - 21693*s + 214?\nAnswer: 132758348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 + 185*x - 185*x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4691374 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 715\/77 - (-1)\/((-126)\/(-981))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16515.2 + 16515. Suppose 7 + 5 = -4*p. What is the nearest to p in i, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m - 2*m - 5 - 5 + 6 - m in the form g + n*m and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 1560*r**3 - 2*r**2 + 2*r - 10*r + 1179*r**3.\nAnswer: -381*r**3 - 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97237 - 21904 = 3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196325 is divided by 2204.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -395, -587, -759, -905, -1019, -1095?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3332 + 2324?\nAnswer: 5656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1319*s + 11. Let w(j) = -661*j - 10. Let c(b) = -3*m(b) - 5*w(b). Let z = -7 - -4. Is c(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -161*g + 3439. Determine p(18).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/12, 1\/2, 4, 2\/399?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 814 (b) 2 (c) 9 (d) 1 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108413231*y**3 + y**2 - 1081*y - 54694 wrt y?\nAnswer: 650479386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 63. Which is the second smallest value? (a) 0.4 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 19*x + 2. Let q be p(1). Let y = -19 + q. Suppose 0 = -0*z + z - 2*a + 60, y*z = 5*a - 120. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 + 201 = -7*d. Let f(o) = -4*o**2 - 3*o + 6. Let b be f(2). Sort -0.3, b, d.\nAnswer: b, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101122 (base 4) in base 15?\nAnswer: -15c376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**2 + 4*g**4 - 10*g**2)*(g + g - 3*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**13\/i)**8)**46 assuming i is positive.\nAnswer: i**4416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -268*s**5\/3 + 108280*s**4\/3 - 988*s**3 - 108280*s**2\/3 + 3232*s\/3 = 0.\nAnswer: -1, 0, 2\/67, 1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90965745 and 10683.\nAnswer: 90965745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 7*x + 10. Let t be r(-8). Let k = 2 + t. Solve -k*u = -g - 0 - 3, 0 = -3*u + 3*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16 + 2 + z**2 + 13 + 8*z + 6. Determine l(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:55 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-84)*6*15\/(-40)*(-2)\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s + 122*s - 25715 = 1285. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4636 = -z - 3*z - 3*t, 3*z = t + 3503. Calculate the greatest common divisor of 25 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(2) - (-2 + sqrt(2))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 201. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41790 divided by 30.\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.05, -2\/7, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3785544310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 183398422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/2 + u**2\/2 - 674*u. Calculate n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/6 - 667*w**4\/3 - 455761*w**3\/6 - 23009500*w**2\/3 + 46705312*w\/3 - 23467264\/3 = 0. What is w?\nAnswer: -872, -232, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 13*n**4\/6 - n**3\/2 - n - 24. Let a(o) = o**2. What is c(a(t))?\nAnswer: 26*t**4 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*v - 6 - 3 = 0, 4*v = 2*h + 14. Let p be -3 + 9\/(-4 - -1). Is -2174*(4 + h)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66810 divided by 786\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-1)\/(-2))\/(28\/(-10864)). Let w = g + 194. Solve w = -6*s + 10 + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p + 3*p**2)*(11 - 5*p - 11)*(-14*p - 5 + 5).\nAnswer: 210*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56664504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -126323 (base 8) in base 9?\nAnswer: -66618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 - 3*j**2 + 3 - 4*j**2 wrt j?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5 - (-9 + 2 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 - 185. What is the closest to h in 0, 0.3, 25, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2. Let k = 70 + -45. Suppose k*s - 6 = 24*s. Let x(m) = s*m + 3*m - 5*m. Calculate x(a(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158885073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -3*r. Let q(n) = r*n**3 - n**3 - 5*n**3 + 3*n - n - 2*n**2 - 1. Let b be q(-3). Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -99 + 9. Calculate the remainder when 52 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba091 (base 15) to base 2.\nAnswer: 10010000001110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.3, 1\/2, 1190?\nAnswer: 1190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 36?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let o be (d - -8)*3\/6. Suppose -2*p + 3*x = -15, 0 = -2*p - 0*x - o*x - 15. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-77)\/91?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*i + 474 = 0, -4*i = v + v - 324. Find the second derivative of v*t**3 + 20*t - 8*t - 156*t**3 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. What is the nearest to -1 in -18, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -145*i**3\/6 - 116*i**2 - 276*i. Is 94 a factor of n(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(2)) + -4*sqrt(2)*-2.\nAnswer: -3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and -17849.\nAnswer: 4640.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 13907.26, -0.3, -2\/7, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u. Let v(s) = -3*s**2 - 4. Let m(n) = -20*n**2 - 30. Let t(f) = 2*m(f) - 15*v(f). What is c(t(w))?\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 58*n**3 + 2*n**2 + 4*n + 5. Let m be q(-2). Let l = 952 + m. What are the prime factors of l?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*k + 432*k - 64 = 792*k. What is the nearest to 0 in -70, k, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 145294 (b) -1\/5 (c) -3 (d) 0.24 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4156 - -4164. Calculate the highest common divisor of 1384 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -22*w**3 + w**2 - 2. Let s be d(-3). Suppose s = 2*v + 5*g, 0*v - 4*g - 1160 = -4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2342 - -120423?\nAnswer: 123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5595*g - 7085*g - 862*g - 8690*g - 8272*g to n*g + m and give n.\nAnswer: -30504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323707 or -130\/7?\nAnswer: -323707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 2, m: 1, w: 1, q: 2, t: 2}. Give prob of picking 1 q, 1 m, and 1 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)*(4 - 2). Let c(t) = t**3 + 16*t**2 + 14*t - 17. Suppose -37*o = -30*o + 105. Let y be c(o). What is the nearest to -0.1 in i, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 53*y - 176. Let x be s(13). Let m be (4\/(-6))\/(19\/(x\/(-72))). Let h = -14 - -15.9. Which is the second biggest value? (a) 0 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 - (-1 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q**2 + 0*q**3 - 257 + 0*q**4 + 22\/5*q**5 + 128*q. What is the first derivative of r(p) wrt p?\nAnswer: 88*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -41. Let x(d) = -7*d**2 - d + 7. Let b(u) be the second derivative of u**4\/2 + u**3\/6 - 3*u**2 + 2*u - 10. What is c*b(p) + 4*x(p)?\nAnswer: 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3 + 2363\/4 + 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 + 1059 = 101*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + -1 + 1\/(-1). Let s be 21\/(-12 - (-22 - -9)). Let c be 7\/s + (-15)\/y. Is c less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7579, -7576, -7569, -7558, -7543, -7524?\n\"Answer: 2*s**2 - 3*s - 7578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4402 + 4.\nAnswer: 4406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -160?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -821334, -821356, -821390, -821442, -821518, -821624, -821766, -821950?\n\"Answer: -p**3 - 15*p - 821318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-9)*u)\/(u*u\/(u**(-13)*u))*u**(-3\/5)\/(u**(9\/5)\/u) assuming u is positive.\nAnswer: u**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2667*-257944\nAnswer: -687936648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-18)\/(-4) - 14\/28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12280017 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let o be (-51)\/(-9) + (-4)\/6. Let f = 6 - o. Solve -t*v - 5 = -f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m + 1293. Is t(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(20\/28)*-1. Suppose 4*x - 20 = -4*p - 4, 2*p = 3*x - w. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418901 is divided by 161257.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 - 24*a - 171. Give m(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/834 and -55\/4341?\nAnswer: 1206798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 11*x**2 - 2*x + 25. Let g be s(11). Suppose g*h = 18 + 18. Let d be 56\/h - ((-2)\/(-3) - 2). Solve -5*t + 1 = d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5929, 11794, 17613, 23362, 29017, 34554, 39949?\nAnswer: 45178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70549 + 145532. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 76048*l**3 - 7*l**2 + 76065*l**3 + 7 - 7.\nAnswer: 17*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v + 5*v**3 + 10 - 7*v**3 + v**3 + 38*v - 66*v as h*v**3 + d*v**2 + z + a*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 + 88*k**2 - 1530*k*m + 82929*m wrt k.\nAnswer: 3*k**2 + 176*k - 1530*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4122 = -354*f - 1290 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -215, -1026, -2373, -4256, -6675, -9630?\n\"Answer: -268*l**2 - 7*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 30*l**2 - 197*l + 6599. What is q(29)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 559 = -5*v - 1299, -3*o - 44 = -2*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9 and -23\/3599.\nAnswer: 32391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -3 + 3 - -8. Suppose -i*u = -12*u + 30. What is the second derivative of -2*y**3 + 2*y**3 - 4*y**3 - u*y**3 + 34*y wrt y?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 522 = 3*h - 2*h, -3*n + 2*h - 531 = 0. Let g be 4\/(-14) - 5125\/n. Find the second derivative of -g*u**3 + 9*u + u**5 + 29*u**3 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -22193*k + 4 + 2 + 22182*k. Determine v(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6 - 89*f - 84*f + 174*f. Let i(r) = -2. Determine -5*i(o) + 2*q(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s + 101. Determine g(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151467.\nAnswer: 3, 29, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1367\/52 + -345\/13. Which is the closest to 3? (a) 2\/3 (b) i (c) 1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-85)*(-16 + -1). Sort 26, -4, s in ascending order.\nAnswer: -4, s, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28611 is divided by 407.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9070912 divided by 16736.\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119834.\nAnswer: 2, 11, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = 4*g - 1, 5*g = c - 12. Let j(i) = 7*i - 22. Let m be j(5). Differentiate -c - 14 + 15 + m*n with respect to n.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + -1 + sqrt(1100)*3 + 4 + sqrt(1100)).\nAnswer: -160*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l + 2. Let w = 49 - 26. What is the remainder when w is divided by x(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-180)\/(-25) - 7) + 3*(-3)\/45. Factor 2\/7*b**2 + m - 8\/7*b.\nAnswer: 2*b*(b - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451958.\nAnswer: 2, 13, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -454?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (1 + -9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(108) + sqrt(7) + -1 - (-1 + (sqrt(1008) + 1 + sqrt(1008) - sqrt(1008)))) + 1.\nAnswer: -32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17843, 17844, 17845, 17846, 17847, 17848?\nAnswer: 17849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l. Let q(u) = 9*u**3 - 18*u**2 - 36*u. Let v(f) = -12*h(f) + q(f). Suppose v(p) = 0. Calculate p.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 960644.47 to the nearest one thousand.\nAnswer: 961000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24956233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/12, -0.3, 12043, -1\/6, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 + 48 = 3*i. Let w = i - 30. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*t - 2)*(-65 + 2*t + 31 + 32).\nAnswer: -4*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 11. Let z(l) = l - 2. Let f(q) = 6*s(q) + 33*z(q). Let v(u) = 36*u - 84*u + 46*u. What is -5*f(j) + 8*v(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41, 4\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7938\/216)\/(21\/(-14))*144\/42.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39463\/12 + -3276. What is the common denominator of g and 73\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 47 + 3. Solve 2*r = 3*r + 5, -i - x*r - 26 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6470 and 1730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-893 - 894 + 1787 + 2011*c)*(1 - 3 + 3).\nAnswer: 2011*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*78\/2470*19*28\/(-2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 714 - 280. What is the remainder when 4\/(-3)*(v\/(-4) + -13) is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 equal to 628114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11880\/(-2412) - (-1 - 4). Let i = -221\/268 + p. What is the second biggest value in -2, -0.3, i, -19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16473522?\nAnswer: 2, 3, 13, 211199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1274\/182)\/(28\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 334 + 86. Calculate the greatest common factor of 28 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81544*d**4 - 12960*d wrt d.\nAnswer: 978528*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:57 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 4, 5, -46?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 1)*(-1281*m**2 + 3909*m**2 - 2466*m**2 - 18 + 3*m) to a*m**2 + i*m + n and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 4, e: 1, r: 1, a: 3}. What is prob of picking 1 o and 1 a?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - n = -0*n + 83, -3*n = 3*w - 39. What is the highest common divisor of 200 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (45 + -53 - 27).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 18*r - 5*r)*(-2*r - 3 + 3)*(5 - 3 - 6).\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1773 - 299633.\nAnswer: -299630.8227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001155717182 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.87788 milliseconds in nanoseconds?\nAnswer: 27877880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*15 + -1)*1. Let c(y) = -y + 1. Let f be c(-4). Let x be (-10)\/p*(-3)\/f. Is 0 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w**2 + 6 - 1\/6*w**4 - 10*w + 1\/10*w**5 + 0*w**3. Let n(i) be the first derivative of q(i). Let n(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2)\/(12\/(-6)). Solve 3*l - 5*o - 24 = c, 5*l + 7*o - 2*o = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 2 u when four letters picked without replacement from uumujcuuccjujujuuuuu.\nAnswer: 264\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 236432 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, -144, -5 in decreasing order.\nAnswer: 5, 2, -4, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 121231000?\nAnswer: -121230440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81003 - -484171\/6. Let d = g + 956\/3. What is the common denominator of d and 135\/(-18) + -2*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6575469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 11. Let f = s + 76. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-48) - (-4)\/((-96)\/32925). Let h = -8367 + 5845. Let a = n - h. Round a to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 + 3*w**2 - 18*w - 33. List the prime factors of h(-5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 862704 + -9501197\/11. Let g = p - -1043. Find the common denominator of g and -37\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmommommoimimmm. Give prob of sequence mmi.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + y - 2. Let l be q(-2). Let t = l - -18. Calculate the highest common factor of 24 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 145, 0, 0.5 in descending order.\nAnswer: 145, 0.5, 3\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/((-30)\/3318))\/((-2)\/(-2)). Suppose 2*p + 0*p = 5*d + m, p = 4*d + 272. List the prime factors of p.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -394.\nAnswer: -31\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 7. Let b be c(-13). Suppose 4*a + 3*v = v, 0 = -2*a + 4*v + b. Suppose a*f - 141 = -f. Calculate the remainder when f is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - (-9)\/4. Let j be z - ((-3)\/6 - -1). Which is the nearest to 0? (a) j (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**5\/30 - y**4\/12 + y**3 + 1. Let h(q) be the third derivative of v(q). Is h(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1. Let r(s) = -2*s + 6. Let m(g) = 6*k(g) - r(g). Let q(v) = -4*v**2. Determine q(m(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i. Let p(k) = 5840*k**2 - 120*k - 3555. Let l(f) = 20*g(f) + p(f). What is the first derivative of l(x) wrt x?\nAnswer: 11720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 3*n**2 + 4*n + 6. What is the units digit of p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 12. Let q(u) = u - 1. Let a(t) = c(t) + 5*q(t). Let y be a(5). Suppose 0 = 2*g - y. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, -11 in descending order.\nAnswer: 5, 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = 307*z - 362*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 590200*h**5 + 354*h**2 + h - 1618 wrt h.\nAnswer: 35412000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7677487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 525123515 + 35?\nAnswer: 525123554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5199*d**2 - 5202*d**2 - 23*d + 4 - 7 to q + y*d + h*d**2 and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*g - 17, -40 = 4*g - b - 3*b. What is the closest to -0.1 in -2\/3, -3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in -0.3, 8, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -39252 divided by 4\nAnswer: -9813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 6:09 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzthtzzpzhttzzzzzt. Give prob of picking 2 h and 1 z.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5261 + 235.0739. What is the closest to y in -1\/4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 65. Let j(o) = -3*o + 3*o**2 - 3*o**3 + o**3 - o. Let b(p) = -p**2 + p. What is t*b(z) + j(z)?\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/135 and 29\/120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, 0, -1 in decreasing order.\nAnswer: 0, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 + 5*o - 1. Let n be b(-4). Let r = n - -34. What is the remainder when 153*((-9 - -30) + -20) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 - 8*a. Let w(p) = -7*p**2 + 16*p - 1. Let j(z) = -5*n(z) - 3*w(z). Let g be j(8). Let h = g - 1. Is h less than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 0.4, 314, -1\/3, -5?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422, 426, 438, 464, 510, 582, 686?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.52*34.\nAnswer: -119.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/2*(-246)\/(-123)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 6:13 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 7. Let v(k) = -8*k + 9. Let i be ((-18)\/(-4))\/((-8)\/((-80)\/5)). Let z(n) = -2*n + 2. Let l(o) = i*z(o) - 2*v(o). Give l(a(w)).\nAnswer: 4*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.4, 5\/232?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*f - 6*f**2 + 46*f - 6*f**3 + 4*f**2 + 4*f**3 as c*f + z*f**3 + j*f**2 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170, 1249, 4174, 9869, 19258, 33265, 52814?\n\"Answer: 154*f**3 - f**2 + 4*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 3. Suppose 24 - 29 = f. Let j(p) = p**2 + 3. Let a = 688 + -692. Give a*j(b) + f*d(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/6)\/(n\/n**(-1\/35))*n**(-1\/6)\/(n**4\/n) assuming n is positive.\nAnswer: n**(-458\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 15*y + o - 584, 0 = -3*y + o + 871. Let m = y + -288. Let h be (-1)\/(-4)*-5*4. Put m, 5, -3, h in increasing order.\nAnswer: h, -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 103*a**2 + 312*a - 633. Let l be b(-106). Put l, 11, -4, -3, -2 in ascending order.\nAnswer: -4, -3, -2, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 17245\nAnswer: -51735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 5) + 8 + (-3 - 10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 773.9744 tonnes?\nAnswer: 773974400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2188458 by -13851.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + -3 - (5 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -55. Suppose -q*p + 773 = -1213. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3 + 2\/27*z**3 + 8\/9*z - 5\/9*z**2. Factor h(c).\nAnswer: 2*(c - 4)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(539) - (sqrt(539)*-4 + 0 - sqrt(539))) + -5))**2.\nAnswer: -15120*sqrt(11) + 699444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -637*h**2. Let q(m) = -43922*m**2. Determine q(z(l)).\nAnswer: -17822186018*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 62 + 30. Suppose 5*l + r - 43 = 0. Calculate the remainder when 39 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23960594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 10:14 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 14 = -j + 5, 5*y = 2*j - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d0189 (base 16) in base 14?\nAnswer: 1828ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, 5 in descending order.\nAnswer: 5, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 5*m + 33. Determine i(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.08. Let a = 4.92 + h. Let p = -41.29 - -40.89. Sort a, 0, p in descending order.\nAnswer: a, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -27. Suppose 7*a - 90 = -27. Is d equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54166.9999960767 - -54167. Round r to seven dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knv when three letters picked without replacement from {n: 10, v: 9, k: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100110000010110011 (base 2) to base 16.\nAnswer: -3a60b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and 247.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 - 3376*d**3\/5 + 2137008*d**2\/5 - 601211584*d\/5 + 63427822112\/5.\nAnswer: 2*(d - 422)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 3. Let y = m - -3. Suppose -y*x + 3*n + n = -1808, 0 = 2*x + n - 898. Round x to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 - o**2 + 0*o**2)*(19 - 20 + 52) to the form k*o**2 + y + m*o and give k.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 1173*p**2 + 12*p - 4692 = 0 for p.\nAnswer: -2, 2, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2\/7 + 95600*s\/7 - 571210000\/7 = 0. Calculate s.\nAnswer: 11950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1506 divided by -18104.\nAnswer: 753\/9052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/3 + 52*t**3\/3 + t**2 + 28*t. What is c(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -138*x + 558. Let b be c(4). Solve 41 = -b*j + 77 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*-3 - sqrt(22)\/sqrt(2)*-3 - (sqrt(44)\/sqrt(4) + 5 + 3).\nAnswer: -11 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(5 - 3\/(15\/22)). Sort 2, 18, s, 5 in decreasing order.\nAnswer: 18, 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*v = 51, 18 = -o + 2*v - v. Is 3*(1 + (-1480)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5282, -4390, -2904, -824, 1850?\nAnswer: 5118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*d**2 - 45*d**3 + 17 - 42*d**2 - 19 to c*d**2 + v + u*d + k*d**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4*r = 2*u + 56, -4*r = -16. Suppose 0 = 2*h + 3*h - u. Find the third derivative of 2*t**h + 2*t**2 + t**3 - 2*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6584426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -168*s + 2. Let g be (-6)\/(-42) - 35022\/(-42). Let r(a) = -g*a**2 - 830*a**2 + 2492*a**2 - 829*a**2. Give r(y(t)).\nAnswer: -28224*t**2 + 672*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 40968 - 7192 = 0. Does 32 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1741 + 1779 - (-1 + -16)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 795, 1083, 1375, 1671, 1971, 2275?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5898\/1349 + 288\/71. Calculate the common denominator of a and -13\/3743.\nAnswer: 3743","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917811406.\nAnswer: 2, 7, 47, 2914607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 329941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 46. Give d(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38968 - 26292. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*y + 11 + 132*y - 38*y + 177*y**2 - 53*y in the form p + r*y + x*y**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*l - 26, 8*k + 4*l = 3*k - 30. Let h be -1 - 1 - 48\/(-28). Which is bigger: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/5 (b) 1\/3 (c) 820\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5181*m - 5 = 4*o - 5180*m, 30 = -3*o + 3*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -3*p + 5 = -w - 8*p. What is the nearest to -1 in w, -11\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 9 + (5 - (6 + -2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 6 - 9. Let s = 0.046 - 29.046. Let n = 28 + s. Which is the nearest to n? (a) 1\/3 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 2 r when four letters picked without replacement from {y: 4, s: 4, r: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-7 - 3) + 17 + -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 123 = 42. Sort 2, d, 138, -1 in decreasing order.\nAnswer: 138, d, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*r - 5*u - 221, 5*r - 3*u - 455 = 0. Suppose 32 = -r*a + 96*a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/4 + c**3 - c**2\/2 - 56*c. Suppose 3*k - 2 = 7. Is 22 a factor of n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5801 - -5804. Let d(w) be the second derivative of -5\/6*w**m + 0 - 2*w - 25\/24*w**4 - 1\/4*w**2. Find l, given that d(l) = 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, g: 5, o: 2, q: 2, f: 4}. What is prob of picking 2 q and 2 o?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*f + 243*f = -10. Solve -f*c = 5*s + 25, -5*c - 21 - 19 = 5*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 10. Suppose -u*b + 42 = -14. Let i(l) = 184*l - 22. Let z be i(b). Round z to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 15*r + 14. Give n(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -787, -794, -749, -628, -407, -62?\n\"Answer: 4*u**3 + 2*u**2 - 41*u - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - u - 6. What is the remainder when 178 is divided by f(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/8400 and -43\/42.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -158. Solve 0 = -6*o + o + 3*d - 40, o = -q*d + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 21 + (-8 - (-5 + 17 + -12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 11*c**2 + 8*c + 27. Calculate k(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 3*b - 4*b)*(-3*b**3 - 4*b**3 + 5*b**3) + 37*b + 2*b**4 - 37*b - 10*b**2 to l*b**2 + v*b**4 + t + k*b**3 + u*b and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 54. Let i = f + -211. Is -208 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 3566, 12033, 28528, 55727, 96306, 152941?\nAnswer: 228308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = r, 4*r - 2*v = 3*r. Suppose m = -m + r. Suppose -6 = c - 28. Calculate the least common multiple of m and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235633 divided by 5?\nAnswer: 4235633\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 881477053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1066864 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(-10\/3)))**(1\/16) assuming v is positive.\nAnswer: v**(-7\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3\/17 (c) 9\/47 (d) -13 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84)*4)\/(1*sqrt(1728)) + (-1*(sqrt(21)*-2 + sqrt(21)))\/(1*sqrt(48)))**2 + 0.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - 6696\/(-162) - 2\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1242 and -41\/180?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275357 is divided by 1384?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttn when three letters picked without replacement from otottnnutd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-9) + 20\/(-90). Let a(v) be the first derivative of h + 0*v - 2\/15*v**3 + 1\/5*v**2. Determine w so that a(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1230*s**2*v**4 - 47*s**2*v - 1229*s*v**4 + 22049*v**2 wrt v.\nAnswer: -29520*s**2*v - 29496*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - p - 1, -2*q + 11*p - 8*p - 11 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 + 7*h - 6. Let g be z(-6). Let j = 562 + g. Which is greater: j or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15651.299 plus -122.35?\nAnswer: 15528.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - p = 18, -4*l + 2*p + 91965 = 91999 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3)\/2)\/(10\/(-12))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:41 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -366 - -243 - (22 + -120)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71832 divided by 3?\nAnswer: -23944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - (-8)\/(-4)*2)*5. Let y = 33 - -1. Let n = y - f. Solve 0 = n*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51254 or 51253?\nAnswer: 51254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:42 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6894\/25 + 276. Let i(t) be the first derivative of 0*t**2 - 3\/20*t**4 - 2 + 0*t - 1\/10*t**6 + 0*t**3 - g*t**5. Determine h, given that i(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206886 + -206890. Let r = -2 - -9. Which is the closest to s? (a) 0.5 (b) 4 (c) r (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1695, -562 in decreasing order.\nAnswer: 1695, 5, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let b be 6\/(-4)*8\/6. Let u be 2 + -2*2 + b. Sort u, 4, r in descending order.\nAnswer: 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 160, 228, 280, 310?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 169, 9 in descending order.\nAnswer: 169, 9, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*x - x - 3)*(8 - 8 + 2*x).\nAnswer: 2*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 16*o**2 + 97\/24*o**4 - 47\/6*o**3 + 0 + o. Differentiate r(d) wrt d.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 218*q - 3*q**2 + 6 + 0*q**2.\nAnswer: -11*q**2 + 218*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 168452567623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270\/47 + 7265\/1551. What is the common denominator of 89\/36 and r?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 14*w**2 - 6*w + 269. What is the lowest common multiple of 434 and u(13)?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 c when four letters picked without replacement from ilcllcc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 0*t**2 + 2*t**4 - 3*t**4 + (2*t**2 + 0*t**2 + 2*t**2)*(-26 - 2*t**2 + 26).\nAnswer: -9*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j*j**0*j)*j*j)**10\/((j*j\/(j\/j**(-5\/2)))\/j**0)*((j**(-2\/11))**(-11\/3))**(1\/19) assuming j is positive.\nAnswer: j**(3595\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-14.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqvqqvv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6913 - -41629\/6. Let x be 1898\/(-5)*(-5)\/3. Let r = 3947\/6 - x. What is the common denominator of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*t + 29*t + 7*t**3)*(2*t - t - 2*t) + 104*t**2 - 27*t**4 - 104*t**2 to y*t**2 + r + m*t + g*t**3 + o*t**4 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 484 and 308?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21*(5736\/(-252) - -24 - (5 - 45\/7))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -60.\nAnswer: -29\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 22 - 5. Let x be d\/6*4\/(-12)*-6. Suppose x*n + 7 + 17 = 0. Is n at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3641, 7328, 11057, 14828, 18641, 22496?\n\"Answer: 21*i**2 + 3624*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 0.04 in decreasing order.\nAnswer: 7, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*a + 0*a = -56, -2*a - 121 = -5*r. Suppose -r = -5*m - b - 3*b, 3*b = -2*m + 10. What is the second derivative of 3*x - x**m + 3*x - 3*x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111.\nAnswer: 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4395384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/16 and 3 - 111*4\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -25*z**4 + 315*z**3 + 2280*z**2 + 2660*z + 720 = 0.\nAnswer: -4, -1, -2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.40162ng to tonnes.\nAnswer: 0.00000000000009840162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/10))**(5\/3)*k**(-19)*k*k\/(k*k**(15\/7)*k))**15 assuming k is positive.\nAnswer: k**(-4475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 7*m**2 + 14. Let d(v) = -5*v**3 + 6*v**2 + 13. Let r(x) = -5*d(x) + 6*f(x). Is 6 a factor of r(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883.7 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13 = 5*w - 12, 0 = 5*w + z - 13. Let v be (-978)\/(-66) - w\/(-11). What is the greatest common factor of v and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33727217, -33727225, -33727235, -33727247, -33727261, -33727277?\nAnswer: -33727295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 26*l**3 + 33*l - 2. Let j(y) = -105*y**3 - 131*y + 9. Let t(d) = 2*j(d) + 9*u(d). Find the second derivative of t(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40052238*m + 4308493.\nAnswer: -40052238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, 7, 56, 155, 322, 575, 932, 1411?\n\"Answer: 3*i**3 - 2*i**2 + 2*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1.3 (b) -1 (c) 1\/58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/6*(-120)\/(-66). Solve p*o = -20 - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -330.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = c + 2*b, 188*b - 186*b = c + 46 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(17\/6)*q*q\/((q**8\/q)\/q)*q**(-1) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -21 + i + 1\/2*i**2. Suppose h + h - 5 = -3*b, -b - 3*h = -11. Let a(n) = 2*n**3 - 2*n**2 + n + 3. What is b*w(v) + a(v)?\nAnswer: 2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-2)\/15)\/((-2)\/(-40)))\/(84\/(-126)). Solve -d + 3*z - 5 = 3, -t*z - 1 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197241 is divided by 2165?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - w + 13 = 2*d, -5*w + 11 = -2*d. Let c(n) = -n**2 - 2*n + 3. Let z(g) = g**2 + g - 1. Let b(q) = d*z(q) + c(q). Is b(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + (13 - 1). Suppose f = 3*k + 2*u, 0 = 2*k - 5*u + 4*u - 12. What is the second biggest value in k, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.3. Let v = 0.2 - p. Let c(x) = 2*x - 2. Let h be c(2). Put v, -5, h in descending order.\nAnswer: h, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49721 is divided by 239.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9*-1 + 82\/(-6). Let o be 3 + (-72)\/28 - 8\/a. Solve -2*c + 3 = o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Is (9\/12 + x)*-92 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3474315*v. Let h(z) = 44*z**2. Determine r(h(a)).\nAnswer: 152869860*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8343573*l**3 - 780969.\nAnswer: -25030719*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 911305*f**2 + 397844 wrt f.\nAnswer: 1822610*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 14*p - 145, 3006*z = 3005*z - 5*p - 51 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-28))\/((-434)\/28 + 15)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136856 is divided by 68361.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {p: 1, e: 7, m: 10}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - (10 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3659090?\nAnswer: 2, 5, 239, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -430 (b) -5 (c) -2\/511\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 34*q**2 + 2*q - 3. What is the tens digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31844 + 17661. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 6. Let d be x(-5). Suppose -5*b + 11 + d = 0. Suppose 8 = 3*o - b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 4 + (sqrt(36)\/sqrt(3))**2.\nAnswer: 2*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287\/558 - -4\/279. Which is the smallest value? (a) t (b) 1\/92 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 18*o**2 - 16*o + 55. Give v(-17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*v + o, -3*o - 1 = 4*v - 28. Suppose -40 = -v*m - 28. Let n = 0.02 + -0.12. Which is the smallest value? (a) -1\/2 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/((-6500)\/(-75)))\/((-36)\/100)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32138160*a**5 - 64161429*a**4 + 31908366*a**3 + 114915*a**2 - 12*a = 0. Calculate a.\nAnswer: -1\/272, 0, 4\/39385, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 918 + -902. What is the closest to -2 in s, -5, 3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8657 divided by 787?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -39*t + 1. Let v(s) = -3*s. Give v(j(z)).\nAnswer: 117*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 + 65*n**3 - 307*n**2 + 3*n + 6222 wrt n.\nAnswer: -24*n**2 + 390*n - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (186\/496)\/((9\/4)\/(-1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 8778715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 + 8*n**2 - 3*n + 8. Let v(f) = -15 - 2*f - 10 + 48*f**2 - 86*f**2 + 32 + 45*f**2 + 3*f**3. Calculate -6*v(k) + 5*w(k).\nAnswer: -3*k**3 - 2*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6) - (-9)\/(-24)*-2\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*o*s - 1110*b**2 + 766*b*o*s - 7*o*s wrt b?\nAnswer: 2*o*s - 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 2*m**2 - 2*m. Let x(g) = -3035*g**3 + 4856*g**2 - 4856*g. Determine -7284*n(r) + 3*x(r).\nAnswer: 5463*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44881566?\nAnswer: 2, 3, 53, 113, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*1170\/(-540)*6\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*i = 2*f - 38, 5*f - 19*f + 136 = -10*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -503, 3, 5, 3\/2 in decreasing order.\nAnswer: 5, 3, 3\/2, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 114*c**2 - 128*c - 206. Let q be r(-58). What is the greatest common factor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let q(l) be the first derivative of -l + 6 + 1 - 4. What is -2*q(p) + x(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973199149?\nAnswer: 1973199149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -117*y**3 + 10*y**2 + 43. Let k(p) = p**3 + 2*p**2. Let t(h) = -6*k(h) + n(h). Differentiate t(u) wrt u.\nAnswer: -369*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -4 - -8)*1. What are the prime factors of 1089\/27 + (-2)\/j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10128 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 6*g - 4. Let t be z(4). Let f = 0 + -3. What is the nearest to -0.1 in f, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -10000010?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - a**2 - 3*a - 9. Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -45.4. Let l = 7 - m. Let i = -385.9 - -386. Which is the nearest to 2\/3? (a) i (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-48)*(-9)\/(-4). Let s = 26 + -43. Let y be 0\/s + 2\/5. Which is the closest to 1? (a) t (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18*3\/18*1 - (2 - 1). Factor 0 + 1\/3*f**3 + 0*f + 1\/3*f**q.\nAnswer: f**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/((-1377)\/(-5049)*(-44)\/(-360))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711904767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92068 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l**2 - 7*l - 10. Let q = -96 + 89. Let a(p) = 8*p**2 - 6*p - 9. Calculate q*a(f) + 6*r(f).\nAnswer: -2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - -994. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*s + 6*s = 18*s. Solve s = 5*i - 3*m + 4, -2*i - 13*m + 9*m - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -138?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -4, -5\/147, 0.6, -4\/7, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -17. Let i(a) = -a**3 + 5*a**2 + 5*a + 8. Let d be i(v). Suppose -m - r + 32 - 7 = 0, m + d*r = 21. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1099, -5029 in decreasing order.\nAnswer: -5, -1099, -5029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from {u: 2, h: 1, d: 3, j: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 478. Let f(t) = 9*t. Determine f(l(r)).\nAnswer: -54*r + 4302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*1\/66*(-16)\/(-12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwdwdwwwddw. What is prob of sequence wd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3889611 divided by -9.\nAnswer: -432179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dndd when four letters picked without replacement from nnndddn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(sqrt(78) + (sqrt(78) - 4*-2*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78)))\/(-3*sqrt(24) - (sqrt(216) + 2*sqrt(216))).\nAnswer: 22*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 3*q**2 + 2*q**2 + q + (4*q - q - q)*(-7 + 7 + q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19 + 10 - (-1058)\/120 and -73\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 41*w**2 - 76*w + 53. Let u be d(-39). Let l = 44 + u. Calculate the highest common factor of l and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/41214585 and -109\/30?\nAnswer: 82429170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21171780 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 - 0.3. Let o = t + 5. Let k be 0\/(-4) - (-2)\/8. Which is the closest to k? (a) 5\/4 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -6.35?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in 2257, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)\/(w*w\/(w\/w**0)*w))\/((w\/w**(-6))\/w**(2\/5)) assuming w is positive.\nAnswer: w**(-549\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*d + 123 = 0, 4*x + 4*d - 53 - 67 = 0. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(8\/(64\/(-8))). Does 70 divide (3 - (-1 + a)\/(-3))*-420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1452 = -3816. Let z = n + 3240. Suppose -z = -x - 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((-6)\/(-72))*2*2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - y = 6, -5*d - 5*y - 5 = 5. Suppose -4*b + d*b = -4. Determine m so that 2*m**b + 0*m**2 - 2*m**2 - m**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9149*w**2 - 9156*w**2 + 18312*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3838, 30750, 103828, 246172, 480882?\n\"Answer: 3850*b**3 - 17*b**2 + 13*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -735 - -737. Solve -2*m - p*m = 5*k + 8, -5*k = -3*m - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c + 4 = 0. Let h = c + 17. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 + p**4\/6 - 7*p**3\/3 + p**2 - 46*p. Let z = -4 - -15. What is the remainder when k(4) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -528b (base 14) to base 3.\nAnswer: -201112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 7*y + 52. Let x be n(-13). Suppose -126 = h - x. Solve -5*o = j - h - 11, -o = 4*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -22597.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Suppose -t - 3 = 4*z - 3*z, 4*t + 21 = 5*z. Which is the closest to 0.1? (a) -2 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3138 + -3133. Solve -37 = -3*q - f*j, -2*q + 27 = 4*j - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2)\/(-4)) + (-925)\/(-518)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118951*d**4 + 33189*d?\nAnswer: 1427412*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/13716768 and 121\/154632.\nAnswer: 233185056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116 or 63?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1412659, 2825332, 4238003, 5650672, 7063339?\nAnswer: 8476004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3302513 + 5?\nAnswer: -3302504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/220)\/(14\/(-77))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Solve -k*x = -x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1642*k + 55827. Give m(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2334147 (base 9) to base 15.\nAnswer: 19e237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/21 + 1322756*y\/7 - 87302864\/21 = 0 for y.\nAnswer: -1984156, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.82981 micrometers in centimeters?\nAnswer: 0.004082981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 73 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:15 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -394*p + 142. Let y(l) = 197*l - 65. Give 6*k(b) + 13*y(b).\nAnswer: 197*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2107733?\nAnswer: -210773.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.82 and -27.\nAnswer: -29.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48644 is divided by 7934.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + -2415210?\nAnswer: -2415314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(0 - z + 0) + (-2 - 2*z + 2)*(-1 + 2 - 3) + (0 + 2 - 1)*(-63*z - 15*z + 147*z).\nAnswer: 77*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.647 - 3.43. What is s rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 616 = -18*u. Let l = u - -78. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from zofzz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 877, 2017, 3611, 5659, 8161, 11117?\nAnswer: 14527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/1274)\/(-5*2\/(-70))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 + 78 + 79 - (17 - -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7625 minus -0.5?\nAnswer: -7624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5622 + -5230. Calculate the highest common factor of 1666 and b.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 34 = 44. Suppose 3 + 17 = -b*p, 3*f + p = 11. Solve -3*h = -f*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242340 by -105.\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -50. What is the highest common factor of 423 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 844 = -4*o, 2*y + 233 = -4*o + 659. List the prime factors of y.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62184047*m**2 + 11003*m + 487 wrt m?\nAnswer: 124368094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4544056)\/(-220))\/(278\/(-10)). Let f = p - -743. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42018 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -9, -4, -5, 4, -1 in descending order.\nAnswer: 30, 4, -1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20*g. Suppose 0 = -2*u - 3 + 7. Let f(z) = -114*z - 2*z**u + 114*z. Determine r(f(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/22844633?\nAnswer: -8\/22844633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127\/35 - -24\/7. Let g = -7.63 + 6.63. What is the closest to 0 in h, -1\/9, g?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 111 = -5*l, f - 18 = l + 7. Suppose -27 = -6*s - 3*s. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*h, -12 = d - 3*d - 4*h. Suppose -d*b + 231 = b + y, 5*y = -b + 77. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-5))\/(42\/(-525))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/59 in -0.055, 0.1, 0.5, 3\/7?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.018 * -0.1959.\nAnswer: 0.0035262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 24 = -5*m + 17, 2*m + 39 = 35*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 3*x - 4. What is the least common multiple of 40 and v(3)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*g = 37*g - 270765. List the prime factors of g.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*w + 2550 + 1695 = -885 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5. Let m(l) = l - 11. Let r(w) = -6*m(w) - 11*q(w). Calculate the remainder when r(-5) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 2. Let n(o) = 2*o - 1. Let p(t) = 2*t - 1. Let a(q) = -2*n(q) - p(q). Let c(x) = 6*a(x) + 7*u(x). Let l(h) = -h**2. Give l(c(r)).\nAnswer: -r**2 + 8*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 633*v**2 + 77*v + 46*v + v**4 + 1 - 633*v**2 to the form w + a*v**2 + y*v**3 + q*v + b*v**4 and give q.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o - 4. Let d be u(3). Suppose 0 = -5*j - d + 44. Suppose 3*t = p + t - 168, p - j*t = 165. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/((-2)\/(-8)). Suppose -h - h - 5*k + 862 = 0, -2*k = 3*h - 1282. Let c = h - 423. Put c, 1\/2, d in decreasing order.\nAnswer: c, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(605))**2 + -5 + sqrt(605))*-1 + -1)*3.\nAnswer: -1806 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2163 = -3*s - 65*w + 61*w, -9 = 3*w. What is the greatest common factor of 377 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2. Let c(h) be the first derivative of -h**2\/2 - 2*h - 98. Determine k(c(w)).\nAnswer: -4*w**2 - 16*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - 3. Suppose 2*s + 3*h = 4*h - 11, -2*s - 5*h = -19. Give t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 72 and 344.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = -16*g - 57. Suppose -2*q + 2*k + 38 = 0, 4*k = -3*q - g + 104. Let z = 1 + q. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-9))\/4 - 7\/9. What is the remainder when 26 is divided by g + -2*(-2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19521 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.3 from -1052.\nAnswer: -1036.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (6 + -11 - (8 + -7) - -33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let g(n) = -n**3 - 5*n**2 - 6*n. Let d be g(-5). What is the remainder when 7 is divided by (-2)\/j*d\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 0, 1, 26754, 4 in descending order.\nAnswer: 26754, 34, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s*s*s*(s\/(s*s**(1\/6)\/s))\/s)\/s)*s**(1\/16)*(s*s**(-11))\/((s\/(s**(2\/33)*s))\/s) assuming s is positive.\nAnswer: s**(-1533\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 2, x: 7, u: 1, r: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3779*x + 2546277 = -3762*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1032487\/2418 - 427. Is 0 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - v + 7, -20 = -6*a + 5*a + 5*v. Let g(k) = -2*k + 10. Determine g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 4*k + 2*s, -3*k - 5*s = 14. Let m be 0\/(k*(-1)\/1). Suppose m = -4*b - 5*c + 210, 2*c = b - 22 - 37. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 + 23119*f**2 - 144118975*f + 118853300625 = 0.\nAnswer: 969, 11075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149199 is divided by 24863.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*f = 7*f + 87, -5*f - 25 = 0. Let t(d) = -42*d**3 + 2*d - 1. Let a be t(1). Let b = a + l. Calculate the greatest common divisor of b and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(18\/5))*w*w**13\/w*w*w assuming w is positive.\nAnswer: w**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2057) + sqrt(2057)*-1 + -3)**2 + (5 + (sqrt(272) + 1)*-2)**2.\nAnswer: -48*sqrt(17) + 1122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 551d + 178?\nAnswer: 5697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32798 is divided by 4503.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 163*w - 1\/6*w**4 - 73*w**2 + 0 - 86\/3*w**3. Differentiate d(p) wrt p.\nAnswer: -4*p - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 7*u + 3. Suppose 2 = -4*o - 2*s - 6, 2*s = 3*o - 8. Suppose 2*i - 5*i - 18 = o. Calculate w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15575 or -15576?\nAnswer: -15575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - -1) + ((-1084555)\/(-1) - 2057\/(-121)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -225.2 (c) -8 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 19 = 2*c, -10 = -c + 3*c. Let f(g) = g**3 - 3*g**2 + g + 2. Calculate f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -166 and 134.\nAnswer: -22244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 110*y**3 + 129*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*g = -14, -5*q + 71*g - 67*g = -55. Suppose 0 = -2*p + 1 - 3. Let a be 4\/4 + p + 0. Solve 3*c = -q*d - a*d + 27, -2*c = -10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**26)\/h*h))\/(h\/(h**(-5)*h)) assuming h is positive.\nAnswer: h**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7271?\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-6 + 5 - 2)*((-6*r**4 + r**4 + 4*r**4)*(2*r + 0 + 0) + 2*r**3 - 2*r**5 - 2*r**3).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (12 - 19 - (-2 - -2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54 + 2 + (4 - 2). Is 0 - z*(-9)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62357073 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 the value of 20\/10*(-2)\/48*-60?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58.9 - 59.171. Let j = u - 1.729. Suppose -2*f - 10 = -v - 3, -f = -2*v + 2. Which is the biggest value? (a) -3\/7 (b) -1 (c) f (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8128*r**4 - 13*r**2 - r - 435596?\nAnswer: 32512*r**3 - 26*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*r - 19, 4*o + 3*r - 15 = o. Let d be o\/1 - (-1 + 2). Suppose -6*s + 3 = -d*s. What is the smallest common multiple of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1221194 and 1183.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 39 - 19 = -3*x, -3*x + f = -38. What is the least common multiple of x and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2742348 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 + 14*h**2 + 12*h**2.\nAnswer: 43*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**4 - 2837*u**3 - 3*u**2 + 2*u + 3562?\nAnswer: -168*u - 17022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (12 - 18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 3 - -2) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*m - 57 = 0, 2*q - 14 = q + m. Suppose 1 + q = p. Let j = -22 + 36. Solve -x + 2*x = -5*y + j, 5*x = y + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*r**2 - 11*r + 11*r**3 - 121\/2 + 1\/2*r**4.\nAnswer: (r - 1)*(r + 1)*(r + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66687, 112997, 159309, 205623, 251939?\n\"Answer: x**2 + 46307*x + 20379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooz when four letters picked without replacement from {o: 7, z: 2, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -323, -642, -961?\n\"Answer: -319*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7\/120*d**6 - 3 + 0*d - 7*d**3 - 7\/24*d**4 + 0*d**5 + 2*d**2. What is the derivative of p(y) wrt y?\nAnswer: 21*y**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 84 = -0*j. Find the common denominator of (-2)\/1 + (-136)\/j and (-259)\/(-56) - 5 - 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 4. Let b be k(0). Let j = b - -20. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73\/7 - -671\/63. Factor 32\/9*q + 0 - 16\/9*q**2 + c*q**3.\nAnswer: 2*q*(q - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62 take away -42640471?\nAnswer: 42640472.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(63\/1512)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**4))**(-10)*c**(-4\/9)\/(c**8\/c) assuming c is positive.\nAnswer: c**(-427\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 + 107. Calculate the highest common factor of 27 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2 + 9320*k - 15034.\nAnswer: 2*k + 9320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 47. Suppose c - 6 = 3*c + 2*t, 0 = -c + f*t + 5. Is 44 - (c*12)\/4 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*q = -6, -6*j + 6 = -j + 3*q. Suppose j = -8*n - 8*n + 64. What is the greatest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/5*5*1. Let y be (-9)\/(-3)*-1 - -2. Let x = -172 - -173. Which is the nearest to x? (a) f (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Let a(z) = o*z + 6*z - z. Let h(n) = 7 - 2*n - 7. Determine a(h(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiyyovrry. What is prob of picking 1 v and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187.241444 + 187.32. Round v to three decimal places.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 744899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 14) in base 4?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 5*n + 2*n)*(-2 - 2 + 5) + (2 - 2 - n)*(-2 - 1 - 5) to h*n + w and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.04227 + -2008721219\nAnswer: -2008721218.95773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a - 2. Let m be w(0). Calculate the lowest common multiple of 18 and m\/4*1 - 1100\/(-40).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1829*a + 1038*a - 11074 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 6. Determine h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5 - 46496283*i**3 + 54983813*i**2 wrt i.\nAnswer: 120*i**2 - 278977698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (3 - 2)) + -4 + 35 + -25\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 415105*f - 2075400.\nAnswer: -5*(f + 5)*(f + 83016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 103 - -a55?\nAnswer: b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*y + 4. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12 - 18 + 23*g - 15 wrt g?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**5 + 0 + 0*n**2 + 0*n**3 - 7\/3*n**4 - 4*n + 16\/15*n**6. What is the third derivative of g(s) wrt s?\nAnswer: 768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125855675 to the power of 1\/2, to the nearest integer?\nAnswer: 11219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {c: 1, p: 4, q: 7, i: 3, v: 4}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 108*x + 47*x + 273644 = 0. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 187887057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -8 - 6) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/2*(-57)\/(-627)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 788*f**2 - 2274*f wrt f?\nAnswer: 1576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*n**2*u - 624778*n**2 + n*u + 75431*n + 8 wrt n.\nAnswer: 24*u - 1249556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 20, r = 237*q - 233*q + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5050933, -5050926, -5050905, -5050864, -5050797, -5050698?\n\"Answer: s**3 + s**2 - 3*s - 5050932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4287, -4292, -4301, -4314, -4331, -4352?\nAnswer: -4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496860 is divided by 249475?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -848 - -1387. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*i - 50*s + 58*s, -3*i + 43 = -5*s for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Let q = -252 + 104. Let o = 156 + q. Solve -c - o = 2*u, 8 = -5*u + u + l*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(7 - -3)\/(6 - 4). Let o be 10*(-8)\/t + -1. Suppose 2*a + 5*f - 719995 = -0*f, -2*f = -o*a + 1080002. Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*(3787\/(-10820))\/(2\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*u + 41*u + 28*u + 7*u - u**2 + 401 + u**4 - 2*u**3 as h*u**4 + l + n*u**3 + s*u + z*u**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24814448 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2482 + 3365. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8*f - 4*y - 168, 3*f = -4*y - 124. Let j(w) = 2*w**2 + 22. Let i(k) = 1. Calculate f*i(v) + 2*j(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515308609 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2)*(3 + 630\/(-120)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 112923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-3))\/((-1)\/(-5)). Let x = 18 + t. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 36099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*y - 101 - 15, -5*q + 348 = -2*y. What is the highest common factor of 188 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-2 - (-4 + sqrt(44) + 1)) + 5 + (-6*-2*sqrt(352))\/((sqrt(8) + sqrt(128) + sqrt(8))*-1))**2.\nAnswer: -480*sqrt(11) + 9964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 5*d**2 + 5. Let h(g) = -g**3 + 2*g**2 + g - 7. Let b be h(3). Let v = b - -22. What is the remainder when v is divided by t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1545 - 1542. Which is the nearest to -1? (a) 2 (b) -122\/5 (c) k (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f*f**(1\/11))\/f)*f**(1\/51))\/(f*f*f*f**(-16)\/f*f**(-28)) assuming f is positive.\nAnswer: f**(24644\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 191 = 7*h. Put h, 10, 0 in decreasing order.\nAnswer: 10, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -17. Suppose 0 = d - 13 - 57. Let j = 125 - d. What is the highest common divisor of s and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -961 + 965. Solve m*d + 45 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - 220. What is the lowest common multiple of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -756 + 811. Suppose -60*o = -i*o. Factor o*p + p**3 + 1\/2*p**4 + 0*p**2 + 0 - 1\/2*p**5.\nAnswer: -p**3*(p - 2)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = -o + 139, -x = o - 27. Let f = 147\/5 - x. What is the closest to 23 in 0, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.5 - -22. Let n = k - -0.1. Let h be (0 - 1)*(-3 + 6). Which is the second biggest value? (a) -5 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + m - 2 + 6*m)*(-2 + 2*m + 2) - m**2 - 4*m + 4*m.\nAnswer: m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*x - 5*a, -205*x + 204*x + 5*a + 48 = 0. Solve 39*c - c = x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (878638\/(-217013))\/(2\/(-41))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172, -341, -508, -673?\n\"Answer: o**2 - 172*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 480 in decreasing order.\nAnswer: 480, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*z + 43*z - 78*z)*(-4*z + 2*z + 1 + 0*z).\nAnswer: 154*z**2 - 77*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 12. Let w(q) = q**3 - 36*q**2 + 38*q - 101. Let i be w(35). Suppose -m - i*m = -30. Give f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4708123947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053474 is divided by 155?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222277654 and 3074.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595198491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*(0 + 0). What is the nearest to u in 2, 4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48999738 or 48999722?\nAnswer: 48999722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97093?\nAnswer: 151, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 - 14608086*j + 14608083 = 0 for j.\nAnswer: 1, 4869361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52422 - 19435. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 0.06097.\nAnswer: -0.43903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 21 = 45. Let k(p) be the third derivative of p**5\/60 + p**4\/24 - p**3\/2 - 3*p**2 - 9. Determine k(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1135 = -4*y - 1124, -5*h + 33 = 2*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29711684 by 3.\nAnswer: -29711684\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 15*o = -127619. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4 + 22*p + 2 - 19*p - 1 + 1. Let n(y) be the third derivative of -y**4\/8 - 5*y**3\/6 + 34*y**2. Determine 3*k(s) + 4*n(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let d = v - 1.3. Let j be (-12)\/(-9)*6\/(-20). Put j, -4, d in decreasing order.\nAnswer: d, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 + 264 = 2*u. Calculate the greatest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 5*z + 24, -4*b = 2*z. Let g(d) = d**2 - 17*d + 34. Let s be g(15). Solve -s*k + b = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5684 by 203.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 19, 0.3003.\nAnswer: -2, 0.3003, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 850 and 848350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttao when four letters picked without replacement from {a: 1, o: 1, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -1 + 1\/20*p**5 - 7*p + 0*p**4 + 0*p**2 - 4\/21*p**7 + 17\/2*p**3 + 0*p**6. Find the second derivative of d(y) wrt y.\nAnswer: -160*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102320 rounded to the nearest one thousand?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 22. Let v = d - -16. What are the prime factors of 80\/14 - (-2)\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/((-5320)\/931)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x**(1\/16))\/(x*x**(-1)*x*x)**(-17) assuming x is positive.\nAnswer: x**(673\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78404484, 156808962, 235213440, 313617918, 392022396, 470426874?\n\"Answer: 78404478*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 15*n**2 - 27*n - 120. Let g be l(-8). Calculate the greatest common divisor of g and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858\/252 + (-4 - (-172)\/42).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:34 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 87.1. Let w = 1.4 + h. What is the smallest value in w, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g*i**3 - 42*g - 2*i**3 - 1917 wrt g?\nAnswer: 9*i**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2077, 2063, 2045, 2023, 1997?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46720099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-3))\/g)**6\/(g\/(g\/((g**(-6)\/g*g)\/g*g))*(g*g*((g*g*g**8\/g*g*g)\/g)\/g)\/g))**(-2\/15) assuming g is positive.\nAnswer: g**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63858023, -127716045, -191574067, -255432089, -319290111, -383148133?\nAnswer: -447006155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2039704, 2039696, 2039694, 2039698, 2039708, 2039724?\n\"Answer: 3*r**2 - 17*r + 2039718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 8 + 9*t + 29 + 3*t**2 - 11 - 12 in the form k*t**2 + g*t**3 + n*t + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 7:35 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w = 2*i + 24, 2*w = -i + 6. What is the third derivative of 6*r**w - 4*r**4 + r**2 - 3*r**4 - r**4 wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60.3 + 56.3. What is the biggest value in 0.2, 0.03, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvyq when four letters picked without replacement from eqvveeyqveyvqq.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 2*h + 130. Suppose h*z - 25*z = 460. What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 75 = 5*o - 2*l, 2*o + 5*l - 59 = 0. What is the greatest common factor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159675463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + -3 + (13 - (62 - 62))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82174817?\nAnswer: 37, 2220941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 29c?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 1 - 7. Suppose -m*o - 6 - 2 = 0. Is 2\/(o*1)*-46 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 33*l + 46. Let p be q(10). Find v, given that 9*v**2 - 9*v**3 - 5 + 4 + 4 - 21*v**5 - p*v**4 + 13*v + 17*v**5 + 4*v**2 = 0.\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108653 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(147\/(-140))*4\/24*9\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.80864 to two dps.\nAnswer: -14.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 9*g**4 - 31*g - 2*g**2 + g**3 + 30*g + 0*g + g**4 + 0*g + (-3 + 0 + 5)*(-3*g**2 - 2*g**4 + 3*g**2).\nAnswer: -11*g**4 + g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:42 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 13\/12*u**4 + 7\/6*u**3 + 19*u + 3\/2*u**2 + 0. Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/3*502494\/(-8) + 2. What is q rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 7*l + 8. Suppose -4*g + 2*g - 12 = 0. What is s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -280, 21, -2 in descending order.\nAnswer: 21, -2, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 18.1.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -201, 2, 6, -2, 3, 50 in decreasing order.\nAnswer: 50, 6, 3, 2, -2, -6, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.1, 0.4, 459\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 5*h**4\/2 - 49*h**2\/2 + 2507*h - 56. Find the first derivative of n(t) wrt t.\nAnswer: 30*t**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*0\/4. Suppose p = 2*o + 3 - 9. Suppose -2 = 2*i - o*i. Solve 27 = -i*k + 5*a, 2*a = -2*k + 1 + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 + (-3 + 1 + 1)*(1 - 2 - 1) + 7 - 1 - 2)*(2*j**2 - 5*j**2 - 6*j**2).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 3153*u**2 - 6315*u - 3159 = 0.\nAnswer: -1, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/7 + 38*d**3 - 1348*d**2\/7 + 1894*d\/7 - 813\/7.\nAnswer: (d - 3)*(d - 1)**2*(d + 271)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, -1, -631?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 57.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - 11*z - 5. Let i be 2*5\/(-4) + 5\/(-2). Let j be 8\/(i\/(5\/1) - -2). Let d(p) = 4*p**2 - 4*p - 2. Calculate j*d(o) - 3*v(o).\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -120140.887 to the nearest ten.\nAnswer: -120140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74.8 - 112. Let n = m - -37.5. What is the biggest value in n, -38, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 3*b**3 + 3*b**3 + (b + b - b)*(-b - 2*b**2 + b))*(-b + 3 - 3 + 4).\nAnswer: -6*b**4 + 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weywidje. Give prob of picking 1 w, 1 d, and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -690 - -1023. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 7 + 3 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -629628, -1259262, -1888890, -2518512, -3148128?\n\"Answer: 3*f**2 - 629643*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4427286216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15736056 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-6)\/6) + 49. Suppose -263 = -z*h - 18. Solve -2*x + h*x + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*(30\/(-80))\/((-3)\/(-2))*(-8)\/108?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12896?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163356 divided by 6.\nAnswer: -27226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 9. Let z(l) = l**3 - 8*l**2 - 6*l + 11. Let j be z(9). Let q(o) = o**3 - 22*o**2 + 21*o + 31. Let s be q(21). Let w = j - s. What is u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.5, 0, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1020024 and 1550?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505225 is divided by 252546.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -47 + 74. Calculate the lowest common multiple of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256 or 1278\/5?\nAnswer: 1278\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 23. Let j be x(24). What is the units digit of (7\/(-2) + j)*(-48)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, r: 6}. Give prob of sequence ss.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7265121.\nAnswer: -2\/7265121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.92 + 0.08. Let q = 62 - z. Let p be 2\/7 - (-2)\/42. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414175, -828324, -1242451, -1656556, -2070639, -2484700, -2898739?\nAnswer: -3312756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6529\/21 + 943\/3. Let y = 3781 - 3781.9686. Let f = y - 0.0314. Which is the closest to f? (a) -3 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769 divided by 1?\nAnswer: 3769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 5 = -5*b - s, 3*b - 5*s = 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5055 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:46 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239029?\nAnswer: 7, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 0*w + 4*w**2 + 8*w**2 - 5*w. What are the prime factors of h(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8439327 months?\nAnswer: 0.0070327725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 5, m: 1, h: 4}. Give prob of sequence hm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(119) - sqrt(119)*-1*4)\/(-6*(sqrt(567) - sqrt(567)*-2 - sqrt(567))))**2.\nAnswer: 272\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75067.5471 to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 17*h**2 + 16*h. Let z be p(-16). Let b(o) be the first derivative of z*o**2 - 1\/9*o**3 + 1\/3*o - 3. Let b(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*f - 3 - 13, 0 = f + s. Let h(u) be the first derivative of u + 0*u**f + 6 - 5\/3*u**3. What is the derivative of h(n) wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.7 - 5. Let c(l) = -l**3 - 5*l**2 - 5*l + 2. Let w be c(-4). Let z be 7\/(-14) + (1 - 9\/w). Sort i, 0.6, z in decreasing order.\nAnswer: 0.6, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -178. Let u = 108 - t. Which is smaller: -1\/4 or u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = j - 4, -5*j - h + 31532 = 31530 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1313342420?\nAnswer: -1313342431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*n + 18, 6 = -3*n + 2*r + 14. Let f be 70\/(-30)*-3*(1 + -2). Let x be ((-4)\/f)\/(50\/175). Solve -4 = x*h - n*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2068 = -155*q - 346 - 172 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose -y + u = 0, -4*j - y = -64 - 0. What is the remainder when (-1 - -2)\/((-1)\/(-74)) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 5\/18, 328 in increasing order.\nAnswer: -2, 5\/18, 0.4, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 21 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**(-2\/5)*i)\/i))\/i)**(-29)*i**1\/i**2)**(-21) assuming i is positive.\nAnswer: i**(1323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01469359726 rounded to five decimal places?\nAnswer: -0.01469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9652.735 litres in millilitres?\nAnswer: 9652735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160859855.9999894 - -160859910. Let c = -54 + y. Round c to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 502, 992, 1466, 1918, 2342, 2732, 3082?\n\"Answer: -m**3 - 2*m**2 + 503*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -183454100 - h + 183454103 - h**2 + h**3 - h. Suppose 2*n + 2*k + k = -8, 2*n = 5*k + 24. Give r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + (2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9493170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252)*1)\/(2*sqrt(28)\/sqrt(4)))\/((sqrt(108) - 1*-2*sqrt(108))\/(-2*sqrt(324))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adtws. Give prob of sequence st.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 532*k**2 - 205*k + 13. Suppose 94*g + 32 = 93*g. Let v(l) = -5852*l**2 + 2256*l - 144. Let r(h) = g*b(h) - 3*v(h). Factor r(z).\nAnswer: 4*(7*z - 2)*(19*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1*-9\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -6\/37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 17*c**2 + c + 22. What is the hundreds digit of k(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.224064 rounded to one decimal place?\nAnswer: -35.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v + 55 + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j - 1388 - j**3 + j**2 + 8*j**2 + 1392 - 3*j**2. Let f be t(-2). Suppose 5*l - 32 - 108 = 0. Calculate the highest common divisor of l and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 749535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 23, -5, -2, 7, -1 in ascending order.\nAnswer: -5, -2, -1, 1, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, 0.09, 8.098?\nAnswer: 8.098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(495) + (-2*sqrt(495) + sqrt(495) - sqrt(495)) - sqrt(495))*-6)\/(sqrt(80)*-4 + -2*sqrt(5)*-5).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12481 and 8.\nAnswer: 99848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26218 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + v - 15 = 0, -6*g + 4*v + 76 = -2*g. Let y = 67 - 50. Do g and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170151 and 1578.\nAnswer: 89499426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 2 + 6*k - 5 - 6*k. Let x(d) = -d - 1. Let q(r) = o(r) + 5*x(r). Calculate q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + o - 4*o + (-4 + 0 + 3)*(o + 3 - 3) - 4*o - 2*o + 3*o + (-1 + o + 1)*(-2 + 0 + 1) - 2*o + o + 5*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 6*i + 4. Calculate m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + 6. Let m be ((-2)\/6)\/(y\/6). Is -4 + m - (5 + -11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0876 - 1673.40792?\nAnswer: -1673.32032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*r - 43, 5*g - 657 = -3*r - 665 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*q - 22, -15 = 3*q - 5*i - 49. Suppose 9135 = 4*t + 3*c, -3*c = q*t - 5*c - 6830. What is t rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**4\/8 + 17*z**3\/6 - 187*z**2. What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 35. Let w = d + -21. Let b = 28 + 14. Calculate the highest common factor of w and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -41*q**3 - 57*q**2. Let c(h) = 21*h**3 + 28*h**2. Let f(u) = 7*c(u) + 4*o(u). Find the third derivative of f(j) wrt j.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + 5*(sqrt(5) + sqrt(5) + 1) + sqrt(5) + sqrt(5) + 4 + 2))**2.\nAnswer: 2808*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 28*k - 157. What is u(28)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/45)\/(1\/(-15)). Let s(v) = -v + 1. Let p(a) = -14*a + 6. Let o(d) = y*s(d) + p(d). What is o(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 876 and 15\/(31 - 1) + 11\/(-2) + 224.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -32 (b) 4\/7 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 3*z - 1. Let q(y) = -17*y**2 + 12*y + 3. Let s(p) = 9*d(p) + 2*q(p). Calculate s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -3*l. Let u be (2 - 6\/4)*l. Let f = u + 4. Is f less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.044 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.35 - 9.05. Which is the nearest to 0.02? (a) 5 (b) z (c) -4\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 192*a**2 + 334*a + 115. Is v(11) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577878.67842 less than 0.1?\nAnswer: -577878.57842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 208379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 126 times -6\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cc73ab (base 13) to base 14.\nAnswer: 1cc87ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 21. Let s(p) = -8*p + 227 + p**2 - 2*p**2 + 2*p**2 - 226. Let c be s(o). Sort -1, c, 4.\nAnswer: -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (706\/1059)\/(0 + (-24)\/(-9)). What is the nearest to 1 in w, 8, 109\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 82*v + 32. Let x be r(-27). Let y(f) = 6 + x - 1 + f - 8. Determine y(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485556487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q - 1. Let r = 0 + 1. Let t be l(r). Let c(i) = -5 + 19 - 5744*i + 5761*i. Let g(x) = -11*x - 9. What is t*g(y) - 5*c(y)?\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -382159 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**2 - 304 + 762 + 3037*h - 3037*h - 11*h**2 - 16*h**2.\nAnswer: -2*h**2 + 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.414229 litres to millilitres.\nAnswer: 7414.229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 12. Let y = x - 9. Let h be 7 + -6 + y*1. Solve l = h*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/17)*p*(p\/(p*p\/p**15))\/p*p**(-1\/18)\/p*p\/p**(-4\/13))**20 assuming p is positive.\nAnswer: p**(569290\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19 and 2.28934?\nAnswer: 16.71066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33984280 and 640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 8*f + 6. Let w(d) = -7*d + d**2 - 11 + 0*d + f*d - 3*d - 4*d. Calculate w(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1054 + 1051. Which is the fourth smallest value? (a) -0.1 (b) y (c) -1.6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 - 5*l - 1. Let q be u(6). Let k be (-1 + -2)*(4 - 5). Suppose q*y - k - 12 = 0. Solve 0 = -y*j - 3 - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -178298 and -178315 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19029210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -650547*x**2 + 650544*x**2 - 376 - 144 to the form o + m*x + k*x**2 and give o.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439860.7ml to litres.\nAnswer: 439.8607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 36*r**2 - 3*r - 7. Let m be q(-8). Suppose -v = -3*b - m, -5*v + 2*b + 15715 = 4058. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -u + 3 - 0, 15 = 5*u + d. Let l = u - -7. Solve 3*s + l = 4*k - 22, -2*s = -3*k + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b**3 + 40*b**2 - 39*b + 12. Let w(f) = -40*f**3 + 79*f**2 - 78*f + 24. Let l(g) = -5*m(g) + 2*w(g). Solve l(y) = 0.\nAnswer: 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Let y = 10.271 + -7.271. What is the closest to z in y, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:43 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f + 1140 = 79*f. Suppose 0 = -4*d - 0*h - 5*h - 248, -2*d - 154 = -5*h. Let i = 257 + d. What is the highest common factor of f and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209.52 - -764.\nAnswer: 973.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 87599 - 74101 = -36*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than 495?\nAnswer: 494.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140\/19 + -8497\/1197. Find the common denominator of -52\/7 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10 = -5*p, -32*k = -5*p - 30*k + 5. Solve z = d + 4, -p*d + z - 84 = -74 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -22, 21 in descending order.\nAnswer: 21, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145132.\nAnswer: 2, 353, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433905 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -44*x**2 - 14. Let y be f(0). Are y and 304 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + sqrt(175)*-1)*6*-2 + 0 + 0)*-2.\nAnswer: -480 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + w = 2*w + 3, 6 = q + 2*w. Solve 0 = u + q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.007. What is c rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8*m - 10. Let z(n) = n. Let y be z(2). Let k be 4\/7*(-1)\/y. Which is the biggest value? (a) k (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-4) + 24 - (1 + 0 + -6). Solve -5*d - 24 = r, 17*r = 4*d + i*r + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 110\/120 + 4\/(-6). Let n = 2.97 + 0.03. Let w = 3.2 - n. What is the closest to p in -1\/2, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167628?\nAnswer: 2, 3, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-14)\/(-28).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1935, 3873, 5811, 7749?\nAnswer: 9687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/2, 0, -1\/7, -24916, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 3*k**2 + 3*k + 3. Let c(g) = -7*g**3 + 5*g**2 - 5*g - 5. Suppose 35*b = 34*b - 5*u + 7, 5*b - 5*u = -25. Determine b*c(w) - 5*v(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 24336*s**2 - 170524*s - 146184.\nAnswer: 4*(s - 6091)*(s + 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y - 20. Suppose 3*p = 5*v + 2*p + y, 5*p - 2 = v. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o\/(o*o*o\/o**(2\/3)))))**50*(o*o\/(o\/((o*(o\/(o\/(o**(2\/5)\/o*o)))\/o*o)\/o)))**(-7) assuming o is positive.\nAnswer: o**(-1897\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 10*n - 28 = 0. Suppose n*g - 2*i + i = -6, i = 4*g + 14. Which is smaller: g or -21\/4?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/21*(660\/(-72450) + (-2)\/21). Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*w + 38*w - w**3 - 41*w**2 + 267*w + 41*w**2 to the form l*w + q + t*w**3 + z*w**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9856 and 1482880.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3540 and 11011524?\nAnswer: 55057620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (-2)\/6*0 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/3 - -2)*-3. Let s = -58 + 54. Let z be 15\/21*s\/f. Which is the biggest value? (a) 2 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*l - 4*p, 8*l = 3*l - 4*p - 13. Let k(u) = 2*u**2 + 1 - 2*u - u**2 + 4*u. What are the prime factors of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 400, 406, 422, 454, 508?\n\"Answer: g**3 - g**2 + 2*g + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 - -156. Let o(n) = -30*n**3 - n**2 - n. Let b(z) = -z. Let r(q) = b(q) + o(q). Is r(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1613 + 1085.1613. Let n = k - 1250.1. Round n to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*b - 973 = 2495 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -155974320 divided by -680\nAnswer: 229374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154078015 divided by -91?\nAnswer: -1693165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337220 divided by 4.\nAnswer: -84305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8643 and 49407.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdhu when four letters picked without replacement from {d: 1, m: 1, h: 1, l: 1, u: 2, g: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*o + 25 = 0, 0 = -4*o - 16 - 4. Suppose -324 + 1404 = z*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 > 255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 divided by -169.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 25. Suppose 0 = 7*n - o - 608. Calculate the highest common factor of 60 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b**2. Let n(k) = -26*k + k + 9*k - 2*k. Give v(n(j)).\nAnswer: 5508*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725422 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -288.\nAnswer: -288, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62996831 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 5:55 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 123*a - 15521 = -16305 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(((-9)\/36*-1)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**2 + 3\/2*h - 44.\nAnswer: (h - 8)*(h + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 9*c**2 - 4*c - 2. Let v be p(8). Let m = 13 - -2. Calculate the highest common factor of v and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 8. Let j be y(6). Let n be 23\/(-1) + j\/(-1). Let d = n + 43. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20*k**2 + 3*k - 31. List the prime factors of i(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (5 + -3 - -4). Let f be (6\/g)\/((-22)\/55). Let w(x) = -2*x**3 - 5*x**2 - 2*x + 3. What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*s**5 + 53954*s**4 - 201608738*s wrt s.\nAnswer: -1620*s**3 + 647448*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x = -60*x + 9. Suppose 174 - 24 = x*v. Calculate the remainder when 146 is divided by v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3\/8, 73, 1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8234243*f - 2 + 2140859*f.\nAnswer: -6093384*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -41. What is the nearest to -2\/7 in 0.4, d, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(612) - (sqrt(1377)*-1 + sqrt(17)))**2.\nAnswer: 24544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*t + 54*t - 416. What is the remainder when 146 is divided by t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 119052798 and 0.973?\nAnswer: 119052797.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55544, -55585, -55698, -55883, -56140, -56469, -56870?\n\"Answer: -36*o**2 + 67*o - 55575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/10 in -0.3, 0.2, 1\/3, 145\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftaf when four letters picked without replacement from {f: 2, t: 1, b: 9, a: 4}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149213 divided by 80.\nAnswer: -149213\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467268 is divided by 24566?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 17*n**2 + n - 4. Is f(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224 + 220. Sort q, 5\/21, 2.\nAnswer: q, 5\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-21))\/(((-14)\/(-39))\/(-7)). Let s(k) = -k**2 - 15*k - 21. What is s(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366804566 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 887694 rounded to the nearest 1000?\nAnswer: 888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236 + -7617?\nAnswer: -10055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - 0.06. Let l = n - -8. Let f = 5 - l. What is the second smallest value in f, -1\/7, 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20236 is divided by 20235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7516.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 4.9?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 41 (b) 17\/2 (c) 2 (d) -2\/35 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5*a)\/((a\/a**(-4)*a)\/a))\/(a**(-3\/4)\/((a\/(a\/(a*a*(a**(-2\/9)\/a)\/a)))\/a*a))*a**(1\/2)\/a**2*((a**(-1)*a)\/a)\/(a**(-5\/4)*a) assuming a is positive.\nAnswer: a**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-12)\/1458*-9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:30 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2361\/15 - (-2)\/(-5). Let h = -31 + m. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/16))**(2\/33) assuming i is positive.\nAnswer: i**(-1\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(625))\/(sqrt(20)\/(3*sqrt(4))) + 0 + -3.\nAnswer: -90*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 31. Suppose -l = -6*l + s. What is the second derivative of 9*n**2 + n + n - l*n**2 - n wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = 2*y - 28, 5*y + r - 15 = 0. Solve -2*f = -2*h + 3 + 1, 3*f = -y*h + 29 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -901, -963, -1089, -1297, -1605, -2031, -2593, -3309?\n\"Answer: -3*w**3 - 14*w**2 + w - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 14) to base 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 12*o - 3. What is the tens digit of z(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -2 (c) -36\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55879219 is divided by 482?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - v = -3*y + 16, -5*v - 14 = -3*y. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 6. Let d(o) = 3. Let q(p) = -5*d(p) - 2*z(p). Determine q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47060 rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 36, 5, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16706904 and 3984?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28b6c (base 16) to base 3\nAnswer: 22110202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79281445 to the nearest integer?\nAnswer: 8904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 98 and -0.13?\nAnswer: 98.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - 578\/70. Let f = -185\/28 - k. Let l be (-2)\/2*(-3)\/(-15). Put l, f, 1 in descending order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*x**5 + 2*b*x**4 - 20*b*x**3 + 571*b*x - x**2 + 2*x wrt x.\nAnswer: -120*b*x**2 + 48*b*x - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-10))\/(12\/(-30)). Suppose -4 = -4*g + r. Solve -4*q + 5*q - 3*u = -10, 11 = -5*q + g*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5*p - 4*p + (p - 4*p + p)*(1 + 1 - 4) - 5*p + 0*p + 3*p)*(-21*p - 1 + 4 + 16*p).\nAnswer: -20*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -769? (a) -5 (b) -66 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -776.234 - -780.06169. Let i = o + 0.09531. Let j = i + 0.077. Which is the closest to 3? (a) -2\/7 (b) 2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24854602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:09 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186.03438009 - -185.92438. Let w = p - -0.11. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361716127*v**6 + 2121*v**2 - 19242*v?\nAnswer: 43405935240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(81*c - 18*c + 11*c).\nAnswer: -222*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283863, -283858, -283853, -283848?\nAnswer: -283843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 2\/7, 17, -1.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89, 277, 591, 1031?\n\"Answer: 63*i**2 - i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8637898*i**4 + 3826558*i wrt i?\nAnswer: -103654776*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27054955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 20*p**2. Let j(x) be the second derivative of x**4\/3 + 4*x + 3. What is j(o(g))?\nAnswer: 1600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/492 and 79\/656?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjljjjbjjjlojobljlj. What is prob of picking 3 l and 1 j?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000039894937 rounded to seven decimal places?\nAnswer: -0.0000399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by -2\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 983 and 985 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205656 and 1623600.\nAnswer: 30848400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29250, -29251, -29252, -29253, -29254, -29255?\nAnswer: -29256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/240*(-3)\/1)\/(19894\/(-129311))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.45 from -3286.97764.\nAnswer: -3286.52764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2206*s**3 + 11030*s**2 - 11030*s + 22060. Let o(c) = -c**2 + c - 2. Calculate 11030*o(n) + u(n).\nAnswer: 2206*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2709*n**2 + 17 - 6 + 5.\nAnswer: -2709*n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 + 3*v**4 - 215 + 436)*(3 - 2*v - 3).\nAnswer: -6*v**5 - 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 17. Let o = j + 18. What is the highest common divisor of 40 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -3\/10*v**5 + 2 + 0*v**3 + 0*v - 29*v**2 - 1\/24*v**4. Determine d(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1*(-4)\/8*2. Let f(w) be the first derivative of 0*w**s - 5\/3*w**3 - 5 - w. Find the first derivative of f(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/50 - (-11)\/15. Suppose 0 = -y + 5*y - 20. Which is the closest to -1? (a) l (b) y (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 943 + 3?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -78118652?\nAnswer: 78118647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 24*j**3 + 40*j**2.\nAnswer: 2*j**2*(j - 10)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + 3*o + 6. Let c = -142\/63 - 8\/9. Calculate the common denominator of t(5) and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4029 - 4064 = -t, 3*i + 5*t + 1 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -326 (c) 2\/1161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23367740 and 849736?\nAnswer: 46735480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -332, -4, 0, -8, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -422 and -424 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -963*y**2 + 303*y**2 - 1687*y**2.\nAnswer: -2347*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.8447 nanometers in micrometers?\nAnswer: 0.6318447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*l + 21, w - 5 + 6 = l. Let o(v) = 52 - v**2 + 13*v**3 - 22 - 19 - 16 + 5*v. Let c be o(w). Calculate the greatest common factor of 42 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1388735.\nAnswer: 6\/1388735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 74 - 34. Let s(y) = 34*y + 1. Suppose 3*f - 2 = f. What is the remainder when s(f) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10 - 2014*w**2 + 1989*w**2 + w - 17 - 9 + w**3. Determine y(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 - 5*n - 115. Let s(j) = 5*j**2 + 4*j + 116. What is 2*q(a) + 3*s(a)?\nAnswer: 3*a**2 + 2*a + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5814)\/152 + 38 - (-27)\/76.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 58 - -46) + (-2 - 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11333115.\nAnswer: 3, 5, 27983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -21. Which is the third smallest value? (a) n (b) -2\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*c + 12421 = -33595, 4*v - 45992 = -4*c. List the prime factors of v.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 634 + 596. Let g = l + 9. Let f be 22\/(g\/(-48) + -4). Calculate the highest common divisor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*o = -26 + 18, j + 32 = 9*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 6303?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -448*f + 92340. Determine s(206).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/48)\/(255\/(-68))*14\/(-7)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/231)\/((-2)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -320, -598, -876, -1154, -1432, -1710?\n\"Answer: -278*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735620 is divided by 245155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5212023 (base 6) to base 4.\nAnswer: 331023033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/10))**(-13) assuming i is positive.\nAnswer: i**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:58 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from jxxwjjdvjvxxmmdxj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -18*l - 185. Let s be f(-12). Solve -2*t - 33 = -s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27293.138 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18348 - -18348.011171. What is n rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/24*f**4 + 0 + 0*f + 37\/6*f**3 - 1\/5*f**5 - 28*f**2. What is the first derivative of c(o) wrt o?\nAnswer: -24*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4113719453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 7\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmlo when four letters picked without replacement from {l: 1, x: 4, o: 2, m: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 596 - 5366\/9. Which is the nearest to -4? (a) -0.5 (b) 3\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 - r + 18. Let p(u) = -11*u**2 + 4*u - 28. Let s(i) = 8*m(i) + 5*p(i). Give s(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-9 - -26) + -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (9 - 5) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -346*m**3\/3 - 569*m**2\/2 + 2. Find the second derivative of z(i) wrt i.\nAnswer: -692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249559 - 1238547\/5. Find n, given that -272\/5*n + 2\/5*n**2 + a = 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) -1\/2 (b) -32 (c) 1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10302.1 * -0.06\nAnswer: -618.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 2)*(119*k**4 - 809*k + 809*k).\nAnswer: -476*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -h - h + 10, -y - 14 = -5*h. Suppose 3*b + 0*b + h = 0. Is 15 - (b + -1 + 1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 174964629.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)*x\/(x\/(x*x*x**(-2\/15))*x)*(x*(x*x\/x**(1\/3))\/x)\/x**6*x**(-1\/2)\/x**(-2\/9)*x*x*x*x\/(x**(-4)\/x)*x\/(x\/(x**(-5)*x)) assuming x is positive.\nAnswer: x**(149\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b + 4. Let g be ((-25)\/b)\/(1\/(-4)). Calculate the remainder when ((-30)\/g)\/((-6)\/(-160)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4019593 days?\nAnswer: 34729.28352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/7 - (-27140)\/35) + -3. Let q = 774 - k. Solve -5*x - 5*y = -q*x - 14, 2*y = 2*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = 6. Let w(k) = -50*k**3 - k**2 - k. Is w(i) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92575741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76\/123 - 2\/41. What is the smallest value in -2, o, 2\/5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**5\/30 - n**4\/6 + n**3\/2 - 64*n**2 + 54. Let v(h) be the second derivative of g(h). Calculate v(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, -6, 2\/9, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**6\/360 + 5*c**3\/3 - 8. Let w(v) be the third derivative of a(v). Let i(p) = -2*p**2. Calculate w(i(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080 divided by 216.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.15 - -369.\nAnswer: 372.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let p(k) = -k**2 + 484*k - 7. Calculate q(p(y)).\nAnswer: y**2 - 484*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4*d + 5. Calculate i(13).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5 - 6*w**4 - 12*w**3 - 8*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 + 2 = b, -5 = 4*d - 3*b. Solve -d - 9 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 1163*y - 20633. Give q(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*x + 7 = 0, -3*x + 8 = 2*u - 5*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 76, 94, 94, 70?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 477274, 477075, 476742, 476275, 475674, 474939, 474070?\n\"Answer: -67*y**2 + 2*y + 477339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*12\/(-100)*(0 - 320\/(-4)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 40*k - 208. Give f(7).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*95\/646*(-25)\/((-125)\/(-64)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5616 - 5616.0000014243. What is z rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9428188545973 and 5.\nAnswer: 9428188545978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p - 468*p**2 + 458*p**2 - 15*p + 7 to c + r*p + k*p**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108665966?\nAnswer: 2, 3, 184777661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*m**2 + 19*m**2 - 3*m**2)*(-11 + 29 - 15).\nAnswer: 117*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 740268, 1480512, 2220756, 2961000?\n\"Answer: 740244*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15094 bigger than -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13292570?\nAnswer: 2, 5, 73, 131, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 8. Let j be s(7). Let y be (-1)\/(1*2\/j). Is y bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 - 258\/3. Let m = v - -124. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120849 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -26*q + 14. Let g(l) = l**2 + 5*l - 5. Let x be g(2). Let v(o) = x*o - 3 + 7 - 7 - 2. Determine -6*p(a) - 17*v(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 + 48*t - 32. Let s be g(14). Calculate the highest common divisor of 416 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q, 15 = -4*y + 5*y - 5*q. Suppose 18 = -3*w + 3. What is the least common multiple of -1*3 - (w - y) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*y - 8*y + 11 = 0, 4*b - y = -44. Is -11 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 63566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -35800 to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548108644?\nAnswer: 2, 31, 4420231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 13*w + 33. Let m be h(-10). What is the third derivative of 2366*t - m*t**6 - t**4 + 82*t**2 - 2366*t wrt t?\nAnswer: -360*t**3 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeye when four letters picked without replacement from exeeyxxeyyeeex.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 11. Let q be u(-7). Suppose l + 4 = q*p - 24, 2*p - l - 16 = 0. Find the second derivative of -1904*n**2 - p*n - 25*n**3 + 1904*n**2 wrt n.\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500, 510, 534, 578, 648, 750, 890?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2288, 5, -2\/39, 0.5, 2\/5?\nAnswer: 3\/2288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(9\/5)*(d*d\/d**(-10)*d*d)\/d)\/(d**14\/d**(-2\/13)) assuming d is positive.\nAnswer: d**(-127\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 2*u**2 - 72*u + 72 = 0. Calculate u.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -12, 30 = o + w. Let h = o - 27. Solve u + 2*u - 15 = h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(-1 + sqrt(1331)).\nAnswer: -12 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1046999694 divided by 6\nAnswer: 174499949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g. Let w = 867 - 869. Let n(o) = 14*o**3 + 2*o**2 + 2*o. Determine w*u(l) - n(l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -31) + 20 - -3 - 79\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 + 6. Let b(j) = -121*j**2 - 154*j**2 + 260*j**2. Give b(s(g)).\nAnswer: -375*g**4 + 900*g**2 - 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3238)\/(-10) - 6\/(-30). Suppose -16*a = -10*a - f. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 87, 149, 231, 339?\n\"Answer: g**3 + g**2 + 38*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295561866 + -33650.\nAnswer: 295528216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 51 = -5*z - 14, 0 = 2*z + 3*y - 25. Let n(m) = -m**3 - 5*m**2 + m - 4. Let u be n(-6). Suppose -4*v = -2*f - u, -f = 2*f + 15. Sort v, -2, z.\nAnswer: -2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h + 103 = 0, -3*u + 515 = 2*u + 4*h. Suppose 95 = -4*d + u. Solve 2\/3*w**4 + 4\/3*w**3 - d*w**2 - 8\/3*w + 8\/3 = 0 for w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/36 and 89\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -2\/41, 0.5, -1\/693?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + -1)) + sqrt(162) + -5.\nAnswer: -4 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 168912*-3)\/((-23)\/((-299)\/39)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 719719330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k - 4. Suppose -16*a + 14*a - 5*j = 0, j + 7 = a. Let c(x) = -10*x + 5. What is a*c(o) + 6*w(o)?\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.15 + 4.112. Let x = 0.038 + g. What is x rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904362629 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4568 - -1698.6\nAnswer: -2869.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200146 is divided by 6663.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 150. Let h = 0 + 0.5. What is the nearest to 1 in h, f, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 + (-26 - -53) - (-52 + 0)) + 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225920.\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253 + -205400?\nAnswer: -210053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.7 + 53.7. Let m = -7 + 7.1. Which is the nearest to m? (a) y (b) -4\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 38. Let z be s(27). Let a be ((-48)\/5)\/(18\/(-120)). Calculate the greatest common factor of a and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 1 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1960633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 7*j + 11*j)*(2*j - 10*j - j)*(-2 - j + 2).\nAnswer: 63*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.68 + 19.48. Let i = 1035\/11 + -94. What is the second smallest value in 65, -4, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 7*x**6\/6 + 10*x**2 + 14*x + 31. Let c(v) be the first derivative of d(v). What is the derivative of c(r) wrt r?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1757, 3513, 5269, 7025?\n\"Answer: 1756*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5811 - -348599\/60. Calculate the common denominator of n and 7\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (14\/8)\/(-1). Suppose 10*c = 4*c - 588. Let y be c\/56*(1 - (5 - 0)). Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 5.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 + 9. Let k = 228 + i. Suppose k = r - 77. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75824.69 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -15*z - 30*z + 82, -2*u + 2 = 5*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2762016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 - 5799072*a**3 - 12*a**2 + 17397208*a + 11598144 = 0. Calculate a.\nAnswer: -1, 2, 1449768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275.233 + -275. Let f = 0.878 - i. Let l = 0.06 + f. What is l rounded to 2 decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 1, r: 3, j: 1}. What is prob of sequence jq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -m - 5 + 1, -3*z + 4 = -m. Let n(g) = -g**3 - 2*g**2 + 8*g + 3. Let v be n(3). Find the common denominator of (z - 71\/15) + v\/90 and -31\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 1 + sqrt(1053) + 1)**2.\nAnswer: 72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/18*(1 - -45). Suppose 3*l = q - 24. Solve -5*n - l = -3*y, -n + 1 - 4 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10*m = -12*m + 19060, 0 = -5*g + 4*m - 19070. What are the prime factors of 1 + g\/(-22) + 52\/(-286)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p - 35 = 0. Let c(r) = -3*r - p*r + 11*r. Let z(f) = -30*f. What is c(z(g))?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Let x = b + 0. Suppose -7 = -x*g + 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*-4*sqrt(6000))\/(sqrt(72)\/(2*sqrt(30)\/sqrt(5))) + 3.\nAnswer: 6 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 5*m - 311, 2*o + 3*m - 287 = 0. Suppose -o = -27*l + 23*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3) + (9 - -1). Let b = h + -6. Suppose -l - l = v - 54, b*l - 252 = -5*v. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/66104930 and 55\/16?\nAnswer: 528839440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 8261 - 7701 = 0. Calculate the remainder when x is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2326*b*n**5 + 7*b*n**4 + 435*b*n - 17854*b - 8*n**2 wrt n?\nAnswer: -46520*b*n**3 + 84*b*n**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 1654 = -b, 0 = -2*q + b + 663. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -6 (c) 1\/15 (d) -2 (e) -0.179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/7)*n**(7\/4)*(n*n*n**(-28))\/(n\/n**(-4\/21)) assuming n is positive.\nAnswer: n**(-2113\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1498717 and 15532158.\nAnswer: 170853738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 808042, 807972, 807902?\n\"Answer: -70*q + 808112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 6 + 2. Let a be 0\/(-2*(-1)\/(-8)*x). Suppose -3*b = -0*b + 3*q - 78, a = -3*b + 5*q + 78. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.07526 + -91.07526. Let j = 2 + -2.2. Which is bigger: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/17 - -569\/51. Let j = -10 - -11. Find the common denominator of b and j\/(-2) + (-1208)\/(-144).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3335 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + p + 18*p**2 + 118*p**2 - 7*p**2.\nAnswer: 132*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236903412.\nAnswer: 2, 3, 41, 191, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (360\/20 - 19)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4330 = 14*n - 1396. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 122921 + 109017 = 37744. What are the prime factors of m?\nAnswer: 2, 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14093352 and -29\/38253384?\nAnswer: 267773688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28719 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) - (sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*-5)) + sqrt(78) + sqrt(78))) + sqrt(78))\/sqrt(6).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y + 6. Let z be x(6). Suppose f - z*f = -75. Solve -4*q - 2*n - 25 = -n, f = -q - 2*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-81) - 2382\/27. Let j be (-3)\/15 + 1227\/(-15). Let m = j - n. Solve 0 = y - 2*r - m, 3 = 4*y - 2*r - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 5*l**4\/24 + 16*l**3\/3 + 6*l**2 - 18. Does 3 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 818.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 minus 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 83. Let v(w) = 20*w + 1495. Determine -3*v(k) - 55*z(k).\nAnswer: -5*k + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 - 2*z. Let v be g(-3). Let y(d) = -4*d**2 + 3*d**2 + 0*d**3 + d**3 + 1. Let o(t) = 2*t**3 - 3*t**2 + 3. Determine v*y(r) + o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8571321l to millilitres.\nAnswer: 857.1321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 877c0 - 5?\nAnswer: 877b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75970 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(238\/(-17)))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 - 2*l**2)*(-13 - 20 + 6)*(-2*l**2 - 3*l**3 + 2*l**2).\nAnswer: -162*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 190784903 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose -50*g + 86*g + 612 = 0. Put -3, g, j in decreasing order.\nAnswer: j, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/106680096 and 37\/2065728?\nAnswer: 1493521344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 6*h + 6. Let t(p) = p**3 + 3*p - 3. Determine -3*q(d) - 5*t(d).\nAnswer: d**3 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 341.\nAnswer: -9\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Let w(a) = a**2 - a + 53. What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f + 3. Let a(m) = 245*m - 494*m - m**2 + 249*m. Calculate q(a(r)).\nAnswer: 9*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/45 and 94\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 343973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**6\/360 - v**5\/12 + 5*v**4\/24 + 11*v**3\/3 - v + 42. Let a(r) be the third derivative of o(r). Give a(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 3 - 13) + 71 - 20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 791*c**2 + 209061*c - 578628145 wrt c.\nAnswer: 1582*c + 209061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = f - 24*m - 35805, m - 179036 = -5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54796830 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 291\/9 - ((-15)\/((-315)\/28) - 1). Calculate the greatest common divisor of g and 456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by (-1064)\/57*(-21)\/18 + 24\/108?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2247923 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111 at least as big as 3113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-2 + (0 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**4 + 5*i**3 + 9*i**2 - 8*i. Let u(j) = j**4 - j**3 - j**2 + j. Let k(h) = -5*t(h) - 40*u(h). Factor k(v).\nAnswer: -5*v**2*(v - 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6 and -63\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-8)\/(-10) - 16. Let b be ((-6)\/9)\/(v\/180). Sort -2, b, 13.\nAnswer: -2, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) -1 (c) 26 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 + -0.785.\nAnswer: 0.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:52 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Let z(h) = 2 - h - 9*h**2 - 3 + 3*h**2. Let l(u) = 4*r(u) - 2*z(u). Let d be l(-2). Solve d = -2*j + 4*x, 2 = x + x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300840.\nAnswer: 2, 3, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 - 154*w + 5929 = 0. What is w?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/8 + (-1)\/4. Suppose -4*u - 5*s - 10 = 0, 4*s + 0 = -2*u - d. Solve -3*x + x = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41813785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 1, d: 1}. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95925005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {m: 4, z: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382807904146*z - 2*z**2 + 382807904146*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4557 + -4559. Put 6, -2\/7, 2\/9, z in decreasing order.\nAnswer: 6, 2\/9, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*f - 12472 = -160*f + 6036. What is the remainder when f is divided by 1317?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + y**3 - 3*y**2\/2 - 5*y + 130. Let c be k(-3). Solve -c*o = -14 - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 11*g - 40 = 7*g, -z = 3*g - 23. Suppose b = -11 + z. Suppose 4*y = -b*s + 4159, 2*s - 4*s - y + 2781 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -594 - -597. Let w = -155 + 154.923. Put -2\/13, 5, w, v in ascending order.\nAnswer: -2\/13, w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 + 3. Let d(h) = -h**3 + 4*h**2 + 4*h + 1. Let b be d(5). Let n = 2.7 - -3.3. What is the second biggest value in n, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, -3, -5, 33 in descending order.\nAnswer: 33, 14, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + 3 + -1 + 5 - 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/(1244\/(-39186))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/((-1)\/10). Let w(t) = t**3 + t**2 + 1. Let u(q) = 3*q**3 - 5*q**2 - 6*q - 4. Let s(z) = u(z) - 2*w(z). Is s(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, -10, 4, 2, 0, 17 in increasing order.\nAnswer: -10, 0, 2, 4, 17, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*g + 3*g + 53, -3*d - 4*g = -72. Suppose -u + d = 4*s, -u = -3*s + s + 8. Does 13 divide 1\/(-3) + 470\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(130))\/(sqrt(40)\/(sqrt(4) - (sqrt(4) + sqrt(28)\/sqrt(7)))).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15798*o**3 + o**2\/5 + 15798*o - 1\/5 = 0. What is o?\nAnswer: -1, 1\/78990, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19563864 and 14732?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 0.48?\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {x: 7, d: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/5 - 7*h**2\/5 - 286*h\/5 - 968\/5 = 0. Calculate h.\nAnswer: -11, -4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72809, 72692, 72575, 72458, 72341, 72224?\n\"Answer: -117*v + 72926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 12*o - 47 = 53. Let s(v) = 24*v + 109. What is s(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100 divided by -4?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-5 + 4)**2 + 5*sqrt(300) + 1)*4.\nAnswer: -1400*sqrt(3) + 30068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 927810632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5\/2)\/r**(-5)*(r*r**(2\/9))\/(r*(r*r**(-3))\/r) assuming r is positive.\nAnswer: r**(103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794370 is divided by 12214.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1085186 or -1085187?\nAnswer: -1085187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1670 and 23881.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106580376 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/40 and -103\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17199\/4 - -4278. Find the common denominator of -53\/3 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*r - 337 = -37, -5 = -5*r. What is the remainder when 146 is divided by m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/3))\/l**(-6))\/(l**(1\/7)\/(l*l**(-5))) assuming l is positive.\nAnswer: l**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 385264242 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/320 and 83\/360.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hooh. Give prob of sequence ohoh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 404558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(2448) + sqrt(2448) + -2) + 5)*1)**2*-6.\nAnswer: -59046 + 2016*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-4)*(-2380)\/(-2975)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q. Suppose -4*l = -5*x - 0 + 21, -2*x + 5*l + 22 = q. Let m be (x + 249)\/(-1)*6880. What is m rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 96 = -5*h + 3*h, -4*h + 84 = -4*d. Let m = -14 - d. What is the first derivative of 3*o + m + 4*o - 2 wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001101001101111 (base 2) to base 15\nAnswer: baaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + -29?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/1273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -14925, 5, 264 in increasing order.\nAnswer: -14925, 5, 7, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*p = -0*p + 37, -f - p + 8 = 0. Suppose -6 = -3*s + f. Solve s = 4*o + 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/12 + 11\/3. Let d = 1 + -1.5. Which is the third smallest value? (a) 1\/2 (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -395002.92972 + 395022. Let j = -19 + z. Let y = -0.07 + j. Round y to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 92\/11, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 306, 520, 664, 738?\n\"Answer: -35*y**2 + 319*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015935505 rounded to six decimal places?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 4, -2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -377*f**3\/2 + 3*f + 112. Let x(b) = 3*b. Determine h(x(o)).\nAnswer: -3393*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6177 - -6176.935. What is the nearest to 1\/3 in -3.3, -1\/7, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 838008609 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 + 31*y - 84. Let d(z) = -z**2 + z - 1. Let j(i) = 4*d(i) - v(i). Let l be j(25). Solve 2*p - 21 = 3*h - 0, -5*p + l = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -4 - 77\/(-7). Suppose q*s + 4*m = 3*s - 12, -5*s - 15 = 5*m. What is the third biggest value in 3\/4, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**5 - 4*c**2 + 0 + 0*c**4 + 2\/3*c**3 + 0*c + 1\/24*c**6. What is the first derivative of y(d) wrt d?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 17 - 2*v**3 - 5 - 29*v**2 + 23*v**2 + 3*v**3. What is the remainder when d(7) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-52)*1)\/(2*1\/(-108))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*k**2 + 0*k**2 - 58*k + 75*k**2.\nAnswer: -2*k**2 - 58*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. Let q = -10 - o. What is the units digit of (q\/(-22))\/((-2)\/(-68))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (2 - -1) + 0. Suppose t = 3*t + 4*y + 16, 0 = t - 5*y - 27. Suppose 0 = -t*o + p, 5*o - v = 4*p - 2*p. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:55 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k**2 + k + 9*k**2 - 22*k**2)*(-3*k + 4*k - 2*k)*(-3*k - k + 3*k) to j*k**4 + s + f*k**2 + r*k + n*k**3 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6 = -3*n - 2*x, -9 = 5*n + 3*x. Solve n = -4*a + 4 + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42850952 to the nearest integer?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = 4*x - 24*u - 4, x - u - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-10)*5\/(80\/(-4)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 80*c**2 + 443*c - 275. What is w(-74)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 598*l**3*u**2*x + 359*l**2*u*x - 26344*u**2*x + u**2 + 2*u - x - 2 with respect to l.\nAnswer: 1794*l**2*u**2*x + 718*l*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38559.\nAnswer: 3, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 210.6?\nAnswer: -6.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -2139. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 2*x - 18. Calculate b(6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 10 + 2 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5313, 5314, 5315, 5316, 5317?\n\"Answer: q + 5312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttltltltttttltttll. Give prob of sequence tll.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*h = 12, -4 = 5*j - 434*h + 435*h. Sort 35, 3, 8, j in increasing order.\nAnswer: j, 3, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 8*u - 3*u = 121, 5*j - 155 = u. Suppose 143 = 22*t - 341. What is the smallest common multiple of t and j?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - ((16 - (-28 + 17)) + 5)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2297, 4705, 7133, 9491, 11689, 13637, 15245?\nAnswer: 16423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 11 + 11)*(-5*m**3 + 14*m**3 + 7*m**3) - 2*m**4 + 3*m**4 - 170*m + 168*m - 2*m**3 + 15.\nAnswer: -127*m**4 - 2*m**3 - 2*m + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - 52 - 11191\/855?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 v when three letters picked without replacement from {v: 2, g: 9, o: 1, f: 4, b: 1}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -6, 0.4, 0.5, 4\/3.\nAnswer: -6, 1\/3, 0.4, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - 4 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7464, 14934, 22404, 29874, 37344, 44814?\nAnswer: 52284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4221 + 0.0779. Which is the nearest to -4? (a) v (b) 6 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-14)*115\/(19320\/(-1764)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s + 2*s)*(-s - 4*s + 3*s) + (9*s - 6*s + 2*s)*(2*s - 2*s - 2*s) - 117*s + 7*s**2 + 117*s in the form b + z*s**2 + g*s and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 516856 and 107196?\nAnswer: 409660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b + b - 33 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13\/2)\/(m*m*m**(1\/32))*(m*((m\/(m\/(m*(m**(3\/13)*m)\/m)))\/m)\/m)\/m**(-12) assuming m is positive.\nAnswer: m**(1539\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636182 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -0.327 in ascending order.\nAnswer: -16, -4, -0.327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 58, 196, 462, 898, 1546, 2448, 3646?\n\"Answer: 7*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-32))\/(13\/572)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50110 divided by 25055\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4088535, 8177075, 12265605, 16354119, 20442611, 24531075, 28619505, 32707895?\n\"Answer: -d**3 + d**2 + 4088544*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 132?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03799164 - -0.038. Round z to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 2}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v. Let t(w) = -11*w - 14. Let i be t(-2). Suppose -6*p + 3*p = -f, -2*f + i = 2*p. Let q(u) = 5*u**3 - u + 1. What is f*d(r) - q(r)?\nAnswer: -2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.032? (a) 3 (b) 2\/13 (c) 6 (d) 4 (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16184)\/(-51) - 1\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141*s**3 - 30 wrt s.\nAnswer: -423*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, -23, 1, -463.\nAnswer: -463, -23, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82946614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**9\/63 - 5*v**5\/12 - 29*v**2. Find the third derivative of k(t) wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6570480, 6570478, 6570476, 6570474, 6570472?\nAnswer: 6570470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4800 and 4620?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:30 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/45 + (-254)\/10. Let r be (-1)\/5 - 2655\/f. Suppose 4*k - r - 142 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 221 - -7b9?\nAnswer: 9da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 3 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l**2 + 11*l + 16. What is b(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:50 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(((j\/(j*j**(-2\/3)*j))\/j)\/j))\/(j\/j**(3\/4)*j)*j**(3\/5)*j\/(j*j*j*j*j**(-3)*j))\/(j**(3\/2)*j*j\/((j**(-8)*j*j)\/j)*j)**(-44) assuming j is positive.\nAnswer: j**(30521\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19508, -78032, -175574, -312134?\nAnswer: -487712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-3))\/(260\/6825*35)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/(24\/(-408)). Sort -36, 0, m in decreasing order.\nAnswer: 0, m, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 933862599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - ((-5*(sqrt(117) + 0))**2 - sqrt(117))) + (sqrt(117) - (-1 + sqrt(117)*2)).\nAnswer: -2924 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 36 + -74 - (36 - (2 - 1))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 + 22 - 4*u + 4*u**2 + 4. Let h be c(0). Suppose 0 = -t + h + 129. List the prime factors of t.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -4.5.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7205*d + 42717. Give c(6).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 57215058.\nAnswer: 5\/57215058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5 - 14*d**4 - 20*d**3 + 4*d**2 + 22*d + 10.\nAnswer: -2*(d - 1)*(d + 1)**3*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 8*k**2 - 26*k + 64. Determine c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 46. Let c(w) = -w**2 - 6*w - 7. Let k be c(s). Let f(n) = 4*n**2 + 7*n - 13. Is f(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397650 is divided by 1397638.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(7)*2 - sqrt(7)) + sqrt(7))*3 + -5)**2 - (sqrt(14)\/(sqrt(8)\/sqrt(4)) - ((0 + sqrt(112) + sqrt(112))**2 + sqrt(112)))*-1.\nAnswer: -423 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 315574250 a multiple of 5245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:51 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**4\/12 + 17*m**3 - 36*m**2. What are the prime factors of l(0)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 126?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 + 65043*o**2 + 33629716*o + 33564672 = 0 for o.\nAnswer: -512, -1, 65556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 113. Let n = y - 44. Suppose 2*g - 4 = 0, 3*q + 3*g - n = -8. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -7, -3, -2, -5, -32, 82 in ascending order.\nAnswer: -32, -7, -5, -3, -2, 12, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 94220*u**2 - 3329310792*u + 19972472976.\nAnswer: -2*(u - 70662)**2*(u - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/21156 and -57\/36490.\nAnswer: 9414420","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g + 1. Let c be b(1). Let y be (-1)\/((1\/(-5))\/c). Let t = -3 - y. Put -2, -1, t in ascending order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112001 (base 3) in base 10?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/27*12\/(-1). Suppose i + j = -4*s, 5*i - i - 20 = 5*s. Solve i = 3*c + 4 + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (-758 + 725)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13 (b) 2\/3 (c) 0.3 (d) 3\/101 (e) -1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -23. Let q = 42 + -66. Let r = m - q. Solve 2*j - r = -t, -3*j + 2 = -t - j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1014 equal to -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-76)\/570 + 2 + 560357\/15 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c4d4 + -4?\nAnswer: c4d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 44 = 3*o, 9 = 2*o - x - 2. What is the remainder when 18 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19200 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: How many minutes are there between 4:41 PM and 2:59 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12)\/k)\/k**(-15) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 17*a**2 - 19*a + 11. Suppose 5*k + 21 = -h, -2*h + 4*k = 2*k + 30. What are the prime factors of t(h)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 + 3*p - 2. Let m = -36 - -34. Let i be c(m). Round i to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 23 - 38 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4) + 22\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732*q**2 - 2*q**3 + 8890 - 732*q**2.\nAnswer: -2*q**3 + 8890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:44 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3418893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 36 = -6*l, -l + 17 - 8 = 2*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183700 + -0.1.\nAnswer: -183700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2293 - -2294.1. Sort 1, l, -0.2.\nAnswer: -0.2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5065064 (base 9) to base 2.\nAnswer: 1010010011001111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22834394 and 314.\nAnswer: 22834394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.89 and 2176821?\nAnswer: 2176821.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/(-42))\/((-2)\/7) - 3. Let q(b) = 16*b**2 - 39*b + 9. Let g be q(m). Let c = -249 + g. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 + u + 3. Let k(j) = 35*j**2 + 239*j - 13. Give -k(c) - 5*s(c).\nAnswer: -5*c**2 - 244*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(-2*l**3 + 2*l - 2*l) - 4*l**4 + 6*l**4 - 3*l**4 - 34*l**4 + 19*l**4 + 81*l**4.\nAnswer: 67*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2211133nm?\nAnswer: 0.0000000002211133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15)\/((-46)\/80 - (-108)\/288).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4823b (base 12) to base 6\nAnswer: 2025315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:42 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574 and 23170.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58311777 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 3. Let h be ((-88)\/(-32))\/11 - (-1034)\/(-8). Let z = 129 + h. Calculate t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -0.03 (c) 2\/5 (d) -13.2 (e) 5 (f) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 13 = -3*v, 105 = -4*y - 2*v + 139 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:30 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 814 (base 15) to base 16\nAnswer: 71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137520 is divided by 2760.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + 475\/(-40))\/(1\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/(132\/12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52401942023 and 0.85.\nAnswer: 52401942023.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -41161.78772 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d + 7312 + 19676. Calculate the lowest common multiple of d and 4.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7583619*w - 4 + 4.\nAnswer: 7583619*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15e68d (base 15) to base 3\nAnswer: -1222220201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006255 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 8 (c) 127 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 205643 times -0.72\nAnswer: -148062.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -20 - 13*p - 5*p + 20*p. Let x = -200 - -210. Let l be y(x). Solve q + 1 + 1 = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 3*r - 55. Let m be v(6). Suppose -13*q = -15*q + 10. What is the nearest to m in 4\/7, -4, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2140\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -27. Suppose f = -0*b + 3*b. Let p = 6 + b. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:27 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2982 - 2880 = -1716*r - 238*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17826 - 5901. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44 + (-2)\/(-10)*5. Find the second derivative of -j*t + 390*t**5 - 19*t**2 - 49*t - 391*t**5 wrt t.\nAnswer: -20*t**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 4*t**4 - 7*t**2 + 2*t**3 - 2*t**2 + 33*t + 3*t**3 - 31*t as q*t**3 + s*t**2 + d*t + h + z*t**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*s = 2053*s - 111800 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.5 + 4. Let q = -0.1 - 0.1. Let s = q - i. What is the second biggest value in -2, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 2, y: 4, h: 4, s: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*h + 1350 - 4265 = 0, -4*i - 4*h + 11672 = 0. Suppose 0 = -8*k + 4239 + i. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 802 = -10*c + 11*c, 0 = -4*m + 3*c + 1091. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/18)\/(n*n**8*n))**(2\/3))**(2\/5) assuming n is positive.\nAnswer: n**(-358\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -15. Let g be 141\/m - (-2)\/4. What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(8\/7)\/i)\/i*i)\/(i\/(i\/(i*i**13*i*i))))**(-10\/13))**(-19) assuming i is positive.\nAnswer: i**(-21090\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 9, s: 6}. What is prob of picking 1 n and 2 s?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let b(k) = 15*k. Let z(v) = -b(v) - 7*r(v). Let x(l) = -14*l**2. Give z(x(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602443 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 - 62) + (-5 + 0 - (10 + -7)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 2220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 divided by -11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*i**2 + 31*i**2 - 27*i**2 in the form c + s*i**2 + d*i and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 69 = -9. What is the third derivative of -8*m**2 + 1 - 1 + z*m**6 - 21*m**6 wrt m?\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59\/25 or -369?\nAnswer: -59\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 28 = 4*s, -5*p + 0*p = -2*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1334*a**3*t**5 - 2*a**3*t**2 + a**3 + 38215*a**2*t - 2*a**2 + 77*a*t**5 + 2*t wrt t.\nAnswer: -80040*a**3*t**2 + 4620*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205255, 205278, 205301, 205324, 205347, 205370?\nAnswer: 205393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = -813718. Let o = 256859 - p. What is o rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:43 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 1233120121?\nAnswer: -1233120041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58212 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 22*b. Let r(j) = -11*j. Calculate 4*h(x) + 9*r(x).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 28. Let h be (z\/21)\/((-8)\/(-8598)). Let n = h + -734. Calculate the common denominator of -55\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.126 + -0.021. Let b = -0.053 + f. Let p be ((-4)\/(-33))\/((-4)\/6). What is the nearest to 1 in b, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008143 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 4*v**2 + 5*v - 11. Calculate b(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 106. Solve z - 20 = 5*k, z = -n*k - 5 - 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 45688?\nAnswer: 319816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dydy when four letters picked without replacement from rdydddrdddddddwddyd.\nAnswer: 91\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 4*w + 10. Is a(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2955545?\nAnswer: 5, 19, 53, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:48 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 143*z - 3617214. List the prime factors of z.\nAnswer: 2, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -4*n, -13*x = -8*x + 25. Let p = -1 - 2. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000000200001 (base 3) in base 12?\nAnswer: -433461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3725, -351, -5 in ascending order.\nAnswer: -3725, -351, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, e: 11}. What is prob of sequence ess?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -4 - (19 - 1)) + 0?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -561, 3\/2, 3431?\nAnswer: 3431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556620, -556624, -556628, -556632?\nAnswer: -556636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -26697116692 and 145.\nAnswer: -26697116547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44083 - 44253 = 34*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + s - 3635 = 0, 1 = s + 6. Is u a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(171)\/sqrt(729)*6 + -5 + -6*(sqrt(475) + sqrt(19)) + sqrt(1900) + sqrt(1900)*2)**2.\nAnswer: 4837\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/8))\/(m**(-3\/11)\/m)*m**0\/(m**(-2\/15)\/m) assuming m is positive.\nAnswer: m**(4001\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.068, 0.3, 5, 0.508, -1\/3, -21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 36. Suppose -v - 4 + w = 0. Let s be (87\/12)\/((-4 + v)\/(-8)). Solve 5*o - 2*b + 4*b = -s, 9 = -3*o + 3*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/2349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/13 - 3340*z\/13 - 1394450\/13 = 0. What is z?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 0*j + 1\/5*j**5 + 0*j**4 + 3 + 0*j**2 - j**3. Find the third derivative of x(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.005 - -2203.305. Round y to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2624*p**3 + 743*p**2 - 1403686*p - 20.\nAnswer: 15744*p + 1486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 23*h**2. Let j(d) = 9*d**2. Give j(l(o)).\nAnswer: 4761*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4943 - 4642. Solve -o = -94*d - 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4200 and 3525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*12\/4608)\/((-3)\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r - 450 = 246 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -33*l + 26*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 + 22?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 14, -186637, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -95. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 1323?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -121. Let x(a) = -4*a**4 - 24*a**3 + 10*a**2 + 24*a. Let p(k) = 4*k**4 + 24*k**3 - 11*k**2 - 24*k. Let r(s) = j*p(s) - 7*x(s). Factor r(n).\nAnswer: 4*n*(n - 1)*(n + 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**3 + 29*x**2 + 13*x + 4. Let v(t) = 5*t**3 + 15*t**2 + 7*t + 2. Let y(l) = 13*v(l) - 6*z(l). Is y(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 9982\/(-496))*((-3)\/3 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*h + 2*b**3 - 1332*b**2 + 5565*b*h**4 - b + 17*h - 4 wrt h?\nAnswer: b**3 + 22260*b*h**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1518*f - 1495*f - 1867163. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:10 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43*-291445\nAnswer: -12532135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:55 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 2*a)*(-2*a + 2*a + a) + 18012 - 18017 - 195*a**2 + 733*a**2.\nAnswer: 540*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k + 27. Solve -k*u + 1 - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -14?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244615 = -7958*g - 547978 + 89810 - 534499 for g.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3079*m - 89*m + 52786 = -194*m + 14578 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -80142.\nAnswer: -23\/40071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n - 4. Suppose 10 = 4*x + 2*q, -3*x + q - 2 = -17. Calculate the greatest common divisor of n and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x + 6. Let u be h(-2). Suppose l - u = -11. Suppose 10205 = l*q - 4138. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 38\/51 (b) 2\/3 (c) -6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 86428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1167740 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21114 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/180 - b**3\/3 + b. Let c(y) be the second derivative of h(y). Let n(d) = -7*d**2. What is c(n(k))?\nAnswer: -98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 + 5*x - 8. Let k(p) = -2*p**2 + 6*p - 7. Let o(i) = -5*k(i) + 6*r(i). Differentiate o(f) wrt f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, -6\/19, -30?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 11:54 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40608, 50245, 59882, 69519?\n\"Answer: 9637*n + 30971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -14. List the prime factors of (7\/(-3) + 2)*c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16604.69721 to 0 dps.\nAnswer: 16605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j\/(j\/(j**(-1\/3)*j)*j))*j))\/(j*j**(-5)))**35 assuming j is positive.\nAnswer: j**(490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*k + 28*k - 61*k + 5 + (4 + 0 - 2)*(4*k + 0*k - 3*k) - 2*k + 4*k + 3*k - k + 0*k - 3*k.\nAnswer: -4*k + 5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-216)\/810).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/477 and -16\/1017.\nAnswer: 53901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o + 2. Calculate d(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203 is divided by 160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/120 + z**3\/2 - 4*z. Let p(a) be the second derivative of x(a). Let y(c) = -11*c. What is y(p(o))?\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((-53)\/(10971\/(-1932)))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -62397260)*(-1)\/(-14)*7. Suppose 14*o - k = -7356631. What is o rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4537 + -3742?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16*z + 65. Let w(f) = 7*f - 32. Calculate 3*j(g) + 7*w(g).\nAnswer: g - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46206859 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/3 or 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 - 3 = 2*v, v + 33 = 5*n. Let o(k) = -k - 1. Determine o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 - 4*z + 15. List the prime factors of u(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let q be h\/4*0*-1. Suppose 0 = 2*k - 2*g - q*g + 26, -15 = 5*k + 5*g. Which is bigger: k or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaxa when four letters picked without replacement from abxxbaxaaaaaaaaixaa.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*n**4 + 0 + (0*n**4 + 2*n**4 + 0*n**4)*(-5 + 5 - 1) + 2*n**3 + 5*n**3 - 5*n**3 + 10*n**4.\nAnswer: 5*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(8\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 9*p + 69. What is the tens digit of i(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-724189\nAnswer: -1448378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 117 = 564. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-318) + 78204\/(-405132).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + i + 31 + 4 = 0, -2*i + 2 = -l. Let g be 1998\/l*16\/(-6). Suppose 5*y - 589 - g = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - y = 4*y - 395, -2*y + 196 = 2*v. Suppose v = -j + 6*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*(sqrt(1152)*2 - sqrt(1152)) + sqrt(1152))*-6)\/((sqrt(3087)*-1)\/((-1*sqrt(567) - sqrt(567)) + sqrt(567))).\nAnswer: 7776*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13313977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.6416 - 19664400\nAnswer: -19664399.3584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17983 - 0.078436. What is v rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 7*l**4\/24 + l**3\/2 + 1485*l**2. Let o(x) = 35*x + 16. Determine -11*c(u) + 2*o(u).\nAnswer: -7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3 = 3*c + 1, -3*c = r + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -306 + 33?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 44278*f + 5. Let l be (0 - -3)\/(6\/12). Let h be s(l). Let w = h + -101673. What is w rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-24)\/(-15))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -2*sqrt(136)*1)\/((sqrt(64)*-2)\/sqrt(8) + sqrt(8)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 50 = -4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 10*z - 17. Suppose -m - 15 = 4*s, -2*s = -10*m + 7*m + 25. What is the least common multiple of k(-12) and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let z(s) = -s**2 + 4*s. Let u(v) = 8*v**2 - 24*v - 103. Let b(o) = u(o) + 6*z(o). Give t(b(j)).\nAnswer: 4*j**2 - 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*o - 8331*o - 1564*o.\nAnswer: -9244*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 2*l + m, 0 = 2*l + 3*m - 6. Let p be (-8)\/6*(l - (-9)\/6). What is the least common multiple of 20 and 44\/22 + p\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4063, -16163, -36345, -64621, -101003?\n\"Answer: -2*p**3 - 4029*p**2 + p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1495 (b) -1\/6 (c) -2\/21 (d) 20 (e) -2\/11 (f) 2\/11 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4129632 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 554199301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373874883202 less than -0.4?\nAnswer: -2373874883202.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-12) - 6\/(-18). What is the closest to 1 in 1, o, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 1, f: 4, q: 1, v: 3, y: 1}. What is prob of sequence dyfk?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-3) + 9 + (-78)\/16)\/(249 + -240)?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345400469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p + 2. Suppose -12 = 4*w + 4*v, -2*w - 8 = w + 4*v. Let t be r(w). Solve -t*z = 2*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*z = -38, 2*w + 4*z + 5 = 9. Let u be 3 - (-4)\/w*(-11 + 2). Solve 4*v + r = 3, u = -v - 3*v - 4*r + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/10*20*35971\/156 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/5 + 19541942*l\/5 - 95471874282841\/5 = 0. Calculate l.\nAnswer: 9770971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -201*j**2 - j + 4. Let n(d) = 5*d + 1. Give -l(y) + 2*n(y).\nAnswer: 201*y**2 + 11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359371852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n)*(-5*n + 5*n**2 + 5*n) + (-4*n + 3*n + 2*n)*(-5*n + 3*n + 0*n)*(4*n - n + 8*n).\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - (-5064)\/(-40))*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76082*b**4 + 2*b**3*f - 3*f - 32995 wrt b.\nAnswer: -304328*b**3 + 6*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/6 of a minute?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13488 - 13491.038. Is -0.2 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -638074108 less than 5333?\nAnswer: 638079441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9712 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)*z**(-2\/9)*z)\/((z*z**(2\/15))\/(z**4*z*z)) assuming z is positive.\nAnswer: z**(209\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {c: 1, i: 1, w: 2, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(11) + sqrt(176) + 2.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6545, -5645, -4743, -3839?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 11) to base 5.\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2*u - 9. What is the remainder when 1300 is divided by d(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41524*m*p**2 - m*p - 12358*m - 2 wrt p?\nAnswer: 83048*m*p - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 4 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -880*l**3 + 196*l**2?\nAnswer: -5280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 32 = -4*z, -h + 368218 = 4*z + 368190 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:31 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1448, 1451, 1456, 1463?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7228*c**2 + 14673*c - 9. Calculate x(-2).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 966 and 10626?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99806060369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6900\/(-57))\/(-10) - 12. Put 9, 3.8, m, -2\/11 in increasing order.\nAnswer: -2\/11, m, 3.8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 774\/(-86) + (-3527)\/(-495) + 2 and -56\/33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188203.31235 rounded to 0 decimal places?\nAnswer: 188203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 21*u - 13. Let w(g) = -23*g + 2. Let m be w(1). Let b be a(m). Is 5 a factor of (5\/3)\/(b\/(-273))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 7. Let a = -353 + 306. Let n = z + a. Is n less than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10))**13)**(-28\/3) assuming i is positive.\nAnswer: i**(3640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z + 78614*z**5 - 7*z - 5050 + 5050 - 9*z)*(3 + 2 - 3).\nAnswer: 157228*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + (sqrt(3264)\/sqrt(3))**2 + sqrt(17) + sqrt(68)\/sqrt(4) + 2 + sqrt(153) + 1 + sqrt(17).\nAnswer: 7*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 770, -3, -7, 5, -4, -26 in increasing order.\nAnswer: -26, -7, -4, -3, 4, 5, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 87*r + 57. Let b be t(4). Let f = b - 402. Let a(k) = -k**3 + 2*k**2 + k + 2. Give a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66983132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064298 rounded to 3 decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19802613 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370818 and 2284422.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 163*m - 10 = 3*l - 690, 3*m - 2 = -2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 d when three letters picked without replacement from mdyyffy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 178654727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0298 - -10.8942. Let y = k - 11. Let u = -3.924 + y. What is the nearest to -4 in 2, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/(s\/(s**20*s)))**(-1\/19) assuming s is positive.\nAnswer: s**(-21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494121264 plus -0.02032?\nAnswer: 3494121263.97968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76.4 + -76. Which is the closest to 1\/2? (a) 0.06 (b) k (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -35*z + 34. Let y be b(1). Which is smaller: y or -23\/12?\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.114703mg?\nAnswer: 6114.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42890 divided by 10\nAnswer: 4289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(119\/(-49)))\/(980\/224).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 468*r**3 - 957*r**2 + 1422*r = 0.\nAnswer: -3, 0, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 50. What are the prime factors of ((-6)\/(-15))\/(2\/d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7107*w**4 + 9*w**3 - 17*w**2 - 12238157*w.\nAnswer: 85284*w**2 + 54*w - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 + 420*m - 208*m - 212*m.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:24 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + 11.13. Let r = 1.1 + -1. Is z smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*f - 10, 128*f + 5*w = 129*f - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2978746 and 454.\nAnswer: 676175342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111110001 + -10?\nAnswer: -11010111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3076?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - (14 + -7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 5*z**2 - 6. Is 42 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*r - 41. Let o(m) = -5*m. Let w(d) = -9*d + 1. Let c(f) = r*w(f) - 5*o(f). Differentiate c(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*r, 0 = 2*f - 0*f - 2*r + 2. Let w be (16304 - 0\/f)\/((-2)\/5). Let g = w + 18160. Round g to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 881. Give y(78).\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -201021011222 (base 3) to base 11\nAnswer: -239a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 68*o + 6. What is the remainder when f(1) is divided by (15\/(-9))\/((-1)\/15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 2, m: 1}. Give prob of sequence my.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151675 or -152582?\nAnswer: -152582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1377) + -4)*-5.\nAnswer: -90*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 22*i**3 + 4*i**2 + 4 - 20*i**3 + 2*i. Let y(k) = k**3 + 3*k**2 - k + 3. What is -3*q(t) + 4*y(t)?\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 5*u**2 + 5. Let v(p) = p**3 - 2*p**2 - 5*p + 12. Let c(q) = q**2 - q + 1. Let x(z) = 5*c(z) - v(z). What is -7*o(m) - 5*x(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.8. Let b = 17.1 - 17. Let t = -84 + 84.1. What is the nearest to t in l, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965 is divided by 947.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - m + 5 = 0, z + 0*m - 3*m = 1. Let k be z*9\/(-6)*(-4 - -8). Put 2, k, 5 in descending order.\nAnswer: k, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -18*s**2 + 4. Let t be h(-3). Let k = -94 - t. Let p = 43 - k. What is the common denominator of p and 17\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 - 74 + 90 - 291)*(-15*v**2 + 2*v**4 + 15*v**2) + 4*v**4 + 5*v**4 - 3*v**4 to i*v**3 + w*v + l + z*v**4 + k*v**2 and give z.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031 (base 4) in base 10?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67884 (base 9) in base 13?\nAnswer: 17755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 48*w**2 + 87*w - 42.\nAnswer: 3*(w - 14)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 84. Suppose -57 = -w*f + 486. What are the prime factors of f?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*z**2 - 56*z**2 - 66*z**2 + 19*z wrt z?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 7*p**2 + 24*p**3 - 2 + 19*p**2 - 10*p**2 to the form a*p**3 + k*p + i + r*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4429147 is divided by 182?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-15) - 4\/20. Suppose d + y - 6 = 5*y, -3*d = c*y - 18. Let g be (4\/10)\/(d\/15). Let l(i) = -2*i**3 + i**2 - 1. Determine l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i + 128*i = -4*l + 15363, -l = -i - 3839. Calculate the smallest common multiple of l and 960.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 43. Suppose -j*z + 71 + 88 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and 0.08.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 444 + -309. Let x = d + -133. Solve -z + 3*z - x = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 12*c**2 + 7*c + 14. Let d be z(-13). Let r = d - 43. Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -3.6. Suppose 1 + 44 = 5*g. Let i be ((-20)\/(-30))\/((-8)\/g). Sort 3\/7, i, n in ascending order.\nAnswer: i, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 6. Let w be u(0). Let p(q) = q**3 - 3*q**2 - 7*q + 2. Let f be p(w). Let d = 64 - f. What is the second biggest value in 3, d, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47257841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-663)\/(-204) - (-1 - -16)\/5. Let v be 30\/(-55) + 2*-1. Is w at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 + -0.16. Let k = -0.1 + 0.1. Let t = -0.3 + -3.7. Put t, k, w in descending order.\nAnswer: w, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -544221 + 544222.600012. Let k = -1.6 + f. What is k rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1082270 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-8 - (-34)\/4). Solve -3*j + 4 = 3*n - 7*n, 0 = 4*j + n + l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -168\/11, -15\/4, -19899, 5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 58*q**2 - 403*q - 117. Give v(8).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3165200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146 by 73.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -291? (a) 2\/13 (b) 0.01 (c) 84.2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(7\/(-98)). Let t(f) = -4*f - 21. Let g be t(a). Solve g*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 3*f - 3. Let b(j) = 14*j**2 + 8*j + 8. Suppose 11 = 3*m + l, -m - 1 = 2*m - 5*l. Calculate m*b(y) + 8*p(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 42, 468, -14, 1\/2, 2\/17, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 202361, 202358, 202355, 202352, 202349?\n\"Answer: -3*j + 202364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 0)*4\/3. Let j be 36\/y*(-4)\/3. Is 6 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(2*b**2 - 2*b + 2*b)*(4 - 1 + 7).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 15*t**3 - 9 + 6 + 3 + 0*t in the form v + y*t**2 + a*t**3 + h*t and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123310 and 1870?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2095*k**2 - 31*k + 14*k + 15*k - 5799*k**2 - 3404*k**2 as b*k + z*k**2 + t and give z.\nAnswer: -7108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Suppose 0 = -6*i + 4*i + 14. Solve 0 = x - 5*a + 26, c*x - a + i = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -18*q + 2. Let h be m(-11). Let c = h + -2395\/12. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7*w + 15. List the prime factors of 111 + (w\/(-1) - 3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93194 divided by 5482?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))**(-1\/10))**10 assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + -12?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 86807?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(187) - sqrt(187)*2) + sqrt(187))\/sqrt(11) + (-2*sqrt(51)\/sqrt(3) - (sqrt(17) - (sqrt(17) + sqrt(204)\/(1*sqrt(12)))))**2.\nAnswer: 17 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 56420*h**2 + 8180892*h - 1160 = 0.\nAnswer: -145, 2\/14105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:10 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/516 and 127\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 - -0.53. Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + l + 10 = 0, l = -4*c + 2637 - 2647 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 278435 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -853, -1744, -2667, -3622, -4609, -5628, -6679?\n\"Answer: -16*l**2 - 843*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**6)\/(f\/f**6)*(f**(1\/4))**10 assuming f is positive.\nAnswer: f**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1123056101*u**3 + 16206999*u**2 - 3?\nAnswer: 6738336606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114789872, -114789857, -114789842, -114789827, -114789812?\n\"Answer: 15*l - 114789887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 24*l**2 + 20*l + 74. Let h be o(23). Let v be -4 - (-2)\/1*(-315)\/(-30). Suppose v + h = c. Calculate the highest common divisor of 198 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 0 = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 7*m**2 + 0*m**2 - 4 in the form w + i*m**2 + p*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 - 2*p. Let c(z) = -z**3 + 3*z**2 - 3*z. Let s be c(2). Let o(v) = -3*v**2 - v. Let a(u) = s*d(u) + 3*o(u). Determine n so that a(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 7*s**6\/15 - 94*s**5\/25 + 63*s**4\/10 - 26*s**3\/15 - 2*s**2 + 812. Determine t, given that v(t) = 0.\nAnswer: -2\/7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - sqrt(121)*-3*4) + sqrt(121))\/(1*sqrt(44)\/sqrt(4)) + 1.\nAnswer: 1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 37*z - 70. What is y(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g - 4\/3*g**4 + 0*g**5 + 0*g**3 + 4\/21*g**7 + 27 + 0*g**2 + 1\/15*g**6. Find the third derivative of o(z) wrt z.\nAnswer: 480*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1454, 2531, 3606, 4679, 5750?\n\"Answer: -v**2 + 1080*v + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3281 (base 9) to base 6.\nAnswer: 15114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 30*o - 10*o - 12*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/88*(-792)\/(-432)*284.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 9, 43, 97, 171, 265?\n\"Answer: 10*c**2 - 16*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33138 - 33133. Put -0.5, -0.02, u, -0.4, 4\/5 in descending order.\nAnswer: u, 4\/5, -0.02, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2474, -5051, -7638, -10235, -12842, -15459, -18086?\n\"Answer: -5*f**2 - 2562*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176))**2 - -6*(-3 + sqrt(11)).\nAnswer: 6*sqrt(11) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48 - 415570.\nAnswer: -415569.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**15)**26*x\/x**(14\/5)*x**(-26))**(1\/55) assuming x is positive.\nAnswer: x**(1811\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.748882 decades in centuries?\nAnswer: 0.0748882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/17)*m\/(m**(3\/7)*m*m))**30 assuming m is positive.\nAnswer: m**(-1110\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 58 - 61. Suppose b + 1 = 0, 38 = c - u*b - b. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(1216) + -2 - sqrt(1216))*3)**2 + (sqrt(1216)*1*5)**2)*3.\nAnswer: 91311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:15 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w + 0*w + 13*w**2 - w - 11*w wrt w.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1131 + 1131 + 112*z)*(5 - 3 - 1)*(0 + 0 - 2).\nAnswer: -224*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, r: 2, c: 2}. What is prob of sequence crc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*j + 73 - 11, 0 = o - 4. Let l = 31 - j. Suppose l*i = 7*i. Solve i*h = -2*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/(-125))\/(43\/(-10) - -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 95*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/9 - 9772*o**3\/9 + 16346*o**2\/3 + 625768*o\/9 - 1369480\/9 = 0. Calculate o.\nAnswer: -4891, -7, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let x be 1 - (-1 - (-3 + d)). Which is smaller: x or 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4 + 4. Suppose -p - 2*v = -0*p - i, 5*p + v - 31 = 0. Let q(d) = 5*d - 9. Is q(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003974109 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957684 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 8916622?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, 4, -468, 0 in descending order.\nAnswer: 4, 0, -1, -3, -4, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 343280 and 1012676.\nAnswer: 20253520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 39*a**2 - 546*a - 12731. Calculate b(-34).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1*(13 + -19). Let a = 6 - -6. Solve -v*u + 3*u - a = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -46*n**2 + n. Let t(q) = q + 15. Determine z(t(r)).\nAnswer: -46*r**2 - 1379*r - 10335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36796724 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.4 (c) -0.01 (d) -5 (e) -0.3 (f) 0.8 (g) 22\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.036 (b) -1\/2 (c) -5 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-85)\/(-25) - (6\/(-10) - -1). What is the closest to -10 in -1\/2, x, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35715.\nAnswer: 3, 5, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10958 + -7136. List the prime factors of v.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/996 or 3?\nAnswer: -29\/996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6734.36 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l - 268. Let m be g(30). Suppose -5*h = -a - 131, m*a - 118 = -4*h - 16. Calculate the remainder when h is divided by (-4)\/(-18) - 158\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*b - 6*c = 308*b + 84, 4*b - 87 = 5*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -21. Is 172\/c + (-4)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 14) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 - 238722*s**2 - 238723*s = 0. What is s?\nAnswer: -1, 0, 238723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 257*c**3 - 439*c - 7. Let v(t) = -128*t**3 + 219*t + 4. Let i(n) = 4*s(n) + 7*v(n). Find the second derivative of i(d) wrt d.\nAnswer: 792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/29, -15\/43, 5\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4114332, 8228664, 12342996, 16457328, 20571660, 24685992?\nAnswer: 28800324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flii when four letters picked without replacement from ifhlihf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 2 + 8*n - n**2 + 0*n**2 - 6. Suppose -4*l = 3*j - 44, -2*j + 18 = -l - 2*l. Calculate the least common multiple of 20 and b(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2\/(0 + -1). Let z = 4 + x. Suppose 3*i = 15, 0 = b + b - z*i - 9. Calculate the greatest common divisor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.484875um?\nAnswer: 0.006484875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -20. Suppose -m + n = 40. Suppose 2*y - 3*d - m*d = 158, y = -4*d + 53. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -764341783*z**4 + 306944*z**2 - 41.\nAnswer: -18344202792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22112.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -862*p**7\/21 + 811*p**3\/6 + p**2\/2 + 129*p + 2. Find the second derivative of m(w) wrt w.\nAnswer: -34480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c**3*y**3 + 2*c**3 + 3*c - 9*y**3 with respect to y.\nAnswer: 27*c**3*y**2 - 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 106+-24730754\nAnswer: -24730648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - a + 0*a - 30*a**3 + 26*a**3 in the form y*a**3 + o*a**2 + i + p*a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3976967566*w - 13*w**3 + 5*w**3 - 3976967566*w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 19*p**2 - 19*p + 33. Let r be x(-20). Let n = 26 + -14. Suppose -r*g + 9*g = -n. Solve -4*o + 4 = q - 12, g*q = 5*o - 37 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a98 (base 11) to base 13.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341405 to the power of 1\/2, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -2570, -8682, -20578, -40184?\nAnswer: -69426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x = -36*x - 4*v - 392, 3*v = 3*x - 582. Suppose -6*u + 8976 - x = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 + 3*j - 2. Let p be h(1). Solve -4*f - 2 = 5*g - 1, 5*g + 5*f = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + 11.4. Let g = -1 + p. Let k = -10 + g. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92567, 185134, 277691, 370232, 462751, 555242?\n\"Answer: -q**3 + q**2 + 92571*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}